The expression we have is the factorization of a quadratic equation:
\((v+4)(v+7)=0\)To solve this problem and find the values of v, we need to use the zero product property:
\(\begin{gathered} if \\ a\cdot b=0 \\ then \\ a=0 \\ or\text{ } \\ b=0 \end{gathered}\)This property tells us that if the multiplication of two expressions is equal to zero, each part of the expression can be equal to zero.
Applying this property to our problem:
\(\begin{gathered} v+4=0 \\ or \\ v+7=0 \end{gathered}\)Solving for v in each case:
\(\begin{gathered} v=-4 \\ or \\ v=-7 \end{gathered}\)That is the final solution.
Answer:
\(\begin{gathered} v=-4 \\ or \\ v=-7 \end{gathered}\)classify the following differential equation s given in both standard and differential form. Q5 only
Need help with this question
Answer:
cant see it
Step-by-step explanation:
just type it out
A
X
Find the value of x.
D
X+2
x = [?]
B
3
E
2
C
Answer:
x = 4
Step-by-step explanation:
if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.
DE is such a line , then
\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\) ( substitute values )
\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )
3x = 2(x + 2)
3x = 2x + 4 ( subtract 2x from both sides )
x = 4
Which one is this please help thank u
Answer:
isosceles
Step-by-step explanation:
Two sides are the same length as indicated by the lines on the sides.
This tells use that the triangle is isosceles
Answer:
Hi, this an isoceles triangle
Step-by-step explanation:
An isoceles triangle has 2 equal sides
A right angled one has a right angle (90 degrees)
An equilateral traingle has all of his sides equal
A scalene has all of his sides different.
So this must be an isoceles triangle because there is basically a proof of the two equal sides (the bars).
Hope its clear!
When adding integers with the same sign, add the absolute values of the integers.
True or False?
Answer:
False. This only goes with integers that are both positive.
Step-by-step explanation:
For example, 7+6 is the same as |7|+|6|, which is, again, the same as 7+6.
However, when you add integers that are both negative, you're subtracting, and you'll always end up with a negative difference. Absolute values are always positive, which is why this doesn't work.
(-7)+(-6)
= -7-6
= -13
|-7|+|-6|
= 7+6
= 13
I hope this helps!
Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
For more such questions on GCF
https://brainly.com/question/902408
#SPJ8
What is an angle?
A corner
Two rays conjoined with a vertex
The way I hold my phone to take my selfies
Two segments
What is an angle
Answer:
Two rays conjoined with a vertex
In Geometry, an angle is when two rays intersect/conjoin with a vertex. The answer is Two rays conjoined with a vertex. Hope it helps!
Answer:
an angle can be defined as the figure formed by two rays meeting at a common end point.
An angle is represented by the symbol ∠.
Step-by-step explanation:
¡ Mrk as brainliest Pls and follow me
I'm new here......
Can someone help please
Option D : Based on the given table, it can be concluded that the monthly fee at Smart Save Bank is consistently lower than the monthly fee at Money Bags Bank.
The given table shows the monthly fees for the checking accounts at two different banks: Smart Save Bank and Money Bags Bank. The table lists the monthly fees for each bank based on the balance in the checking account. The balance ranges from less than $400 to more than $800.
Upon analyzing the table, we can see that the monthly fee at Smart Save Bank is consistently lower than the monthly fee at Money Bags Bank, regardless of the balance in the checking account. This means that customers at Smart Save Bank will always pay a lower monthly fee than those at Money Bags Bank, regardless of their checking account balance. Therefore, statement D, "The fee at Smart Save Bank will always be the lower monthly fee," is the best-supported statement based on the information provided in the table
Overall, the table provides a clear comparison of the monthly fees for the checking accounts at two different banks and highlights the potential cost savings that customers can achieve by choosing Smart Save Bank over Money Bags Bank.
To learn more about monthly fees please click on below link
https://brainly.com/question/15306481
#SPJ1
What is the slope-intercept equation for this line?
y = [?]x +[?]
Answer:
y = -3x + 1
Step-by-step explanation:
as we can see the y intercept is 1 because on the y- axis (0,1)
for slope it is 3 because rise over run. We rise 3 and run 1 = 3/1 = 3
the slope is negative because of the line
Hope this helps!!
Answer:
y=-3x+1
Step-by-step explanation:
Simplify the expression 5x2+6x+4+x2+x
.
Thank You!
The simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
The given expression is 5x²+6x+4+x²+x
Simplifying the given expression
5x²+6x+4+x²+x
Firstly, put the similar terms together
5x²+x²+6x+x+4
Adding the similar terms
6x²+7x+4
∵ The expression cannot be solved further, 6x²+7x+4 is the final solution.
Therefore, the simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
To learn more about simplification of expressions,
https://brainly.com/question/31294154
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
Learn more about numbers in https://brainly.com/question/24908711
#SPJ1
15% of 9 is what number and how to solve using proportions
Answer:
Step-by-step explanation
Okay so lets solve step by step/
15% can be written as a fraction: 15/100
The of in the equation means multiplying.
15/100= 3/20
3/20*9= 270/20
27/2 is answer
the range value 13 works particularly well for variables with precisely defined upper and lower bounds . another valid range value is14 , commonly used with measurements of a continuous variable . t/f
False.
The range value is not determined by a specific number such as 13 or 14, but rather by the difference between the maximum and minimum values of the variables or measurements in question. The range is a measure of the spread or dispersion of the data and can be used with both discrete and continuous variables. For example, if the maximum value of a variable is 20 and the minimum value is 5, the range would be 20 - 5 = 15. Therefore, the statement that the range value 13 works particularly well for variables with precisely defined upper and lower bounds and that another valid range value is 14, commonly used with measurements of a continuous variable, is false.
Learn more about Range
brainly.com/question/28135761
#SPJ11
is x^2 + 1 a polynomial
Answer: Answer: x^2 - 1 is not a polynomial as after simplifying it there will be no variable.
Step-by-step explanation:
Decide if each statement below is
true or false.
45 tens is equal to 450.
12.3 is equal to 123 ones.
80 tens is greater than 6 hundreds.
43,200 is less than 50 thousands.
60 hundreds = 6,000
(a) 45 tens is equal to 450. :- True
(b) 12.3 is equal to 123 ones. :- True
(c) 80 tens is greater than 6 hundreds. :- True
(d) 43,200 is less than 50 thousands. :- True
(e) 60 hundreds = 6,000 :- True
Consider the first statement,
45 tens are equal to 450
So, 45 tens mean 45 times 10 is written as:
45 × 10 = 450
Hence, it's true.
Consider the second statement,
12.3 is equal to 123 ones.
Now, 123 ones is equal to 123 times 1.
123 × 1 = 123
Hence, the statement is true.
Consider the third statement,
80 tens is greater than 6 hundreds.
Now 80 tens = 80 × 10 = 800
Now, 6 hundreds = 6 × 100 = 600
Now, 800 > 600
Hence, the statement is true.
Consider the fourth statement.
43,200 is less than 50 thousands.
Now, 50 thousands = 50 × 1000 = 50,000
We know,
50,000 > 43,200
Therefore, the statement is true.
Consider the fifth statement,
60 hundreds = 6000
Now, 60 hundreds = 60 × 100 = 6000
Therefore, the statement is true.
Learn more about thousands and hundreds here:
https://brainly.com/question/15226779
#SPJ9
Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ1
solve each rational equation. list excluded values
x+4/x+5=6/x^2+10+25
Cheese fries or Home fries
it gotta be cheese fries fa sho
Example 2: Use the Venn diagram to determine each set and the number of elements in each set.
helpppp
Using the Venn diagram, each set and the number of elements in each set are:
a. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}
b. A = {1, 3, 4, 5, 6, 8}
c. B = {4, 5, 6, 7, 9, 11}
d. C = {6, 8, 9, 12}
e. A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}
f. A ∩ B = {4, 5, 6}
How to Use the Venn diagram to determine each set and the number of elements in each set?A Venn diagram is a pictorial representation used to visualize the relationships between different sets of objects or concepts.
a.) U is the universal set. This implies it contains all the elements in the set. Thus:
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}
b.) A is all element (number) is set A (circle A). Thus:
A = {1, 3, 4, 5, 6, 8}
c.) B is all element is set B (circle B). Thus:
B = {4, 5, 6, 7, 9, 11}
d.) C is all element is set C (circle C). Thus:
C = {6, 8, 9, 12}
e.) A ∪ B is all element is sets A and B (circles A and B). Thus:
A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}
f.) A ∩ B is all element is sets A and B (circles A and B) have in common. Thus:
A ∩ B = {4, 5, 6}
Learn more about sets on:
brainly.com/question/21850160
#SPJ1
Consider the following monthly amortization schedule: Payment # Payment Interest Debt Payment Balance 1 996.45 750.00 216.45 149,783.55 2 996.45 748.92 217.53 149,566.02 3 996.45 With the exception of column one, all amounts are in dollars. Calculate the annual interest rate on this loan.
Answer: 0.06= 6%
Step-by-step explanation:
an angle is 10 degrees more than 3 times the measure of its compliment. find the measure of both angles
Answer:
20° and 70°
Step-by-step explanation:
complimentary angle sum to 90°
let x be the compliment then the angle is 3x + 10 , so
x + 3x + 10 = 90 , that is
4x + 10 = 90 ( subtract 10 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
3x + 10 = 3(20) + 10 = 60 + 10 = 70
the 2 angle measures are 20° and 70°
help me asap. my exam is tomorrow.
The total surface area of the doghouse is 1452 ft²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.
area of the roof part = 2( 13×11) + 2( 12× 10)×1/2
= 286 + 720
= 1006 ft²
surface area of the building
= 2( lb + lh + bh) -bh
= 2( 10× 11 + 10×8 + 11×8) - 10×11
= 2( 110+80+88)-110
= 2( 278) -110
= 556 -110
= 446ft²
The total surface area = 1006 + 446
= 1452 ft²
learn more about surface area from
https://brainly.com/question/16519513
#SPJ1
A data set of monthly expenditures (rounded to the nearest dollar) incurred at coffee shops by a sample of 500
households has a minimum value of $14 and a maximum value of $246. Suppose we want to group these data
into six classes of equal widths.
Assuming we take the lower limit of the first class as $1 and the upper limit of the sixth class as $246,
determine the class limits, boundaries, and midpoints for a grouped quantitative data table.
Hint: To determine the class width, divide upper limit of the sixth class (246) by the number of classes (6).
Therefore , the solution of the given problem of function comes out to be $3,556 this is the total startup expense.
What is meant by the word function?A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected limit. The relationship between a group of inputs, which each have a corresponding upper bound, is described by a function. A function is a collection of inputs that together produce a single, recognizable output with each input.
Here,
Because the launch expense exceeds $50,000, any startup expenses that cannot be deducted may be prorated over a 180-month period beginning with the start of business.
The startup costs are divided by the entire number of months authorized for amortization, and the result is then calculated by the number of months that were traded throughout the year.
The Root bark Corporation has been conducting business in the case at hand for 10 months, from March to December 2019.
Amount that can be amortized: ($64,000 / 180 months) * 10 months.
=> $3,556 this is the total startup expense that may be deducted.
Therefore , the solution of the given problem of function comes out to be $3,556 this is the total startup expense.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
5/12x6/15=30/180
How do I simplify?
Answer:
0.167
Step-by-step explanation:
if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6
technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167
that should end up being your answer if i did the math right
Answer:
Step-by-step explanation:
5/12 * 6/15 =30/180
1/6=1/6
which is true, Right-hand side is equal to left-hand side
saleswoman sells a dried-fruit mixture for $ 5.90 per pound and nuts for $ 14. 75per pound. She wants to blend the two to get a -15lb mixture that she will sell for $ 9.44per pound. How much of each should she use? Solve using matrices.
To get a 15-lb mixture, she should use enter your response here( = -lb )of dried-fruit mixture and enter your response here( = lb )of nuts.
A 15-lb mixture, she should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts.
Based on the given information, we can set up the following system of equations:
Equation 1: x + y = 15 (since the total weight of the mixture is 15 pounds)
Equation 2: (5.90 * x) + (14.75 * y) = 9.44 * 15 (since the total cost of the mixture is the cost per pound multiplied by the weight of each component)
Now, let's convert this system of equations into matrix form:
| 1 1 | | x | | 15 |
| 5.90 14.75 | | y | = | 9.44 * 15 |
To solve for x and y, we can use matrix algebra. We can multiply the inverse of the coefficient matrix by the right-hand side matrix to get the solution matrix:
| x | | 1 1 |^-1 | 15 |
| y | = | 5.90 14.75 | | 9.44 * 15 |
Using matrix calculations, we find that the inverse of the coefficient matrix is:
| 0.0877 -0.0576 |
| -0.0059 0.0678 |
Now, multiplying the inverse matrix by the right-hand side matrix gives us:
| x | | 0.0877 -0.0576 | | 15 |
| y | = | -0.0059 0.0678 | * | 9.44 * 15 |
Simplifying the multiplication gives us:
x = 1.256
y = 13.744
Therefore, the saleswoman should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts to get a 15-pound mixture.
For more such questions on pounds
https://brainly.com/question/498964
#SPJ8
What is the best estimate of the perimeter of the figure on the grid if each square has side lengths of 1 mm?
Answer:
4mm
Step-by-step explanation:
you have to add both sides after substituting each of the 4 sides by 1mm
which gives you the total of 4
About 1/10 of the human population is left- handed.
About what percent of human population is left- handed? %
Answer:
10%
Step-by-step explanation:
income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
For more such questions on tax,click on
https://brainly.com/question/28414951
#SPJ8
Solve the system.
-5x - 6y = -17
-3x -5y + 5z = 2
-6x - 5y + z = -13
Enter your answer as an ordered triple.
(?, ?, ?)
The value of x, y and z in the system equation is (1, 2, 3).
What is the solution of the equation?The solution of the equation can be determined by using Cramer's rule as follows;
[-5 -6 0] = [ -17]
[-3 -5 5] [2 ]
[-6 -5 1] [-13 ]
The determinant of the matrix is calculate as;
Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)
Δ = 62
The x-determinant of the matrix is calculated as follows;
Δx = -17(-5 + 25) + 6(2 + 65) + 0
Δx = 62
The y-determinant of the matrix is calculated as follows;
Δy = -5(2 + 65) + 17(-3 + 30) + 0
Δy = 124
The z-determinant of the matrix is calculated as follows;
Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)
Δz = 186
The value of x, y and z is calculated as follows;
x = Δx/Δ = 62/62 = 1
y = Δy/Δ = 124/62 = 2
z = Δz/Δ = 186/62 = 3
Learn more about system equations here: https://brainly.com/question/13729904
#SPJ1
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
B.
Step-by-step explanation:
The index is the denominator
the radicand is 2n
the radicand is raised to the numerator