which expression could be substituted for x in the second equation to find the value of y?
Answers
Substitution
We have the system of equations:
x + 2y = 20
2x - 3y = -1
To solve it with the substitution method, we need to solve the first equation for x and substitute it in the second equation.
Subtracting 2y to the first equation:
x = -2y + 20
This expression corresponds to choice B.
Related Questions
Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.
Answers
Using translation concepts, the correct statements are given as follows:
Ava's graph is vertical translation of x².Ava's graph has a y-intercept of 4.Victor's graph moves 4 units from f(x) = x² in a positive direction.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Ava's graph is given by:
h(x) = x² + 4.
It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.
Victor's graph is given by:
g(x) = (x + 4)²
Which means that it moves 4 units from f(x) = x² in a positive direction.
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Find the quotient for 12 2/5 ÷ 1/4
ASAP Pls!!!
Answers
Answer:
\(49\frac{3}{5}\)
Step-by-step explanation:
Answer:
49 3/5
Step-by-step explanation:
First, convert 12 2/5 into an improper fraction. You should get 62/5. We know that dividing fractions is the same thing as multiplying by the other fraction's reciprical (flip). So, 62/5 divided by 1/4 is the same thing as 62/5*4/1 (4). Lastly multiply straight across to get 248/5. Simplify to get 49 3/5.
Hope this helps
(2x -5) - 1.75(x+4) simplify
Answers
Step-by-step explanation:
=0.25x-12 I hope this helped:)
Answer:
0.25x−12
Step-by-step explanation:
(2x−5)−1.75(x+4)
Use the distributive property to multiply −1.75 by x+4.
2x−5−1.75x−7
Combine 2x and −1.75x to get 0.25x.
0.25x−5−7
Subtract 7 from −5 to get −12.
0.25x−12
In 1995, there were 20 wolves in Yellowstone. In 2005 there were 120. Find the percent of change.
Answers
Answer:
500% increase
Step-by-step explanation:
The Cobb family’s natural gas bill was 85.50 for 95 cubic feet of gas, What is the unit rate? (Cost per cubic foot of gas?)
Answers
Answer:
I believe it would cost 9 cents per cubic foot of gas.
Step-by-step explanation:
For many important processes that occur in the body, direct measurement of characteristics of the process is not possible. In many cases, however, we can measure a biomarker, a biochemical substance that is relatively easy to measure and is associated with the process of interest. Bone turnover is the net effect of two processes: the breaking down of old bone, called resorption, and the building of new bone, called formation. A biomarker for bone formation measured was osteocalcin (OC), measured in the blood. The units are nanograms per milliliter (ng/ml). For the 31 subjects in the study the mean was 33.4 ng/ml. Assume that the standard deviation is known to be 19.6 ng/ml.
Required:
Give the margin of error and find a 95% confidence interval for the mean TRAP amount in young women represented by this sample.
Answers
Answer:
The margin of error is \(E = 6.9 \)
The 95% confidence interval is \( 26.5 < \mu < 40.3 \)
Step-by-step explanation:
From the question we are told that
The sample size is n = 31
The mean is \(\mu = 33.4 \ ng/ml\)
The standard deviation is \(\sigma = 19.6 \ ng/ml\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 1.96 * \frac{19.6 }{\sqrt{31 } }\)
=> \(E = 6.9 \)
Generally 95% confidence interval is mathematically represented as
\(\= x -E < \mu < \=x +E\)
=> \( 33.4 - 6.9 < \mu < 33.4 + 6.9 \)
=> \( 26.5 < \mu < 40.3 \)
State the axis of symmetry and explain how to find it.
Answers
Answer:
X=1
Step-by-step explanation:
the centre of the quadratic lies at (1,-3)
4x – 22 = -14 pls help again
Answers
Answer:
x = 2
Step-by-step explanation:
Given equation,
→ 4x - 22 = -14
Now the value of x will be,
→ 4x - 22 = -14
→ 4x = -14 + 22
→ 4x = 8
→ x = 8/4
→ [ x = 2 ]
Hence, the value of x is 2.
At a sale this week, a digital camera is on sale for $547.40. This is a 57% discount off of the original price. What is the original price
Answers
Answer:
725.623
Step-by-step explanation:
547.40:?
43 :57
?=547.40×57÷43
I'm having a hard time with this. A new housing development extends 4 miles in one direction, makes a right turn, and then con- tinues for 3 miles. A new road runs between the beginning and ending points of the development. What is the perimeter of the triangle formed by the homes and the road? What is the area of the housing development?
Answers
Answer:
perimeter = 12 miles
area = 6 square miles
Step-by-step explanation:
Since it makes a right triangle, use the Pythagorean Formula.
3^2+4^2=c^2
9+16=c^2
25=c^2
5=c, so the hypotenuse of the right triangle is 5.
Perimeter = 3+4+5 = 12 miles
area = 1/2bh (1/2 base times height)
=1/2x3x4
=6
Area = 6 square miles
What is the translation from
a) shape X to shape Z?
b) shape Z to shape X?
Answers
The translation form of each shape is given as follows:
a) X to Z: (x, y) -> (x + 5, y + 2).
b) Z to X: (x, y) -> (x - 5, y - 2).
What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.For the composition of translations, we add the coordinates, hence:
-2 + 7 = 5.5 - 3 = 2.Hence the rule from X to Z is given as follows:
(x, y) -> (x + 5, y + 2).
From Z to X, we have the inverse rule, hence:
(x, y) -> (x - 5, y - 2).
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K
For each of the functions y = f(x) described below, find f(0).
(a) x
-1
1 2
f(x)
1
2
(b) y = 12 - 2x2
(c)
-10 -
0
7
조
8
10
IN 2 1
-
3
3
-6
6 8 10
(a) f(0) = ㅁ
Answers
The values of f(0) that can be read from (a similar question in part (a) and (c)) the table, functions, and graph in the question are;
(a) f(0) = 1
(b) f(0) = 12
(c) f(0) = -2
How can the table, function, and graph be evaluated to find f(0)?Part of the question appears missing. From a similar question online, we have;
(a) A table of values;
x: -1, 0, 1, 2, 3
y: 7, 1, 6, -3, -4
Taking the function, f(x) = y, we have;
From the above values in the table, when x = 0, y = f(0) = 1
Therefore;
f(0) = 1(b) y = 12 - 2•x²
Taking the function, f(x) = y, we have;
At x = 0, y = f(0) = 12 - 2 × 0² = 12
Therefore;
f(0) = 12(c) A graph of a parabola passing through the points (-1, 3), (2, -6), (5, 3)
Let f(x) = a•x² + b•x + c, represent the function, we have;
f(-1) = 3 = a•(-1)² + b•(-1) + c = a - b + c
3 = a - b + c...(1)f(2) = -6 = a•(2)² + b•(2) + c = 4•a + 2•b + c
-6 = 4•a + 2•b + c...(2)f(5) = 3 = a•(5)² + b•(5) + c = 25•a + 5•b + c
3 = 25•a + 5•b + c...(3)Solving the system of linear equations, (1), (2), (3) using a graphing calculator gives;
a = 1, b = -4, c = -2
Which gives;
f(x) = x² - 4•x - 2
Therefore;
f(0) = 0² + 4×0 - 2 = -2
Which gives;
f(0) = -2Learn more about evaluation of functions here:
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Given rhombus QRST, find the
perimeter if QU = 3 and RU equals 4.
Q
R
T
U
X
S
Answers
The perimeter of the rhombus in this problem is given as follows:
19.8 units.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The diagonal length can be obtained as follows:
QU = US = 3.RU = UT = 4.RU + UT = 7.
Applying the Pythagorean Theorem, the side length is obtained as follows:
x² + x² = 7²
2x² = 49
\(x = \sqrt{\frac{49}{2}}\)
x = 4.95.
Then the perimeter is given as follows:
P = 4 x 4.95
P = 19.8 units.
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If the opposite of g(x) is –g(x),
then –g(x) =
Answers
Answer:
g(x) not negitive
Step-by-step explanation:
Please help..
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11ft^3
Which equation gives the volume of the sphere?
^(Answers above on picture)^
Answers
9514 1404 393
Answer:
(d) 2/3(11)
Step-by-step explanation:
The height of the cylinder is h=2r, so the volume of the cylinder in terms of radius is ...
V = πr^2·h = πr^2·(2r) = 2πr^3
The volume of the sphere is given by the formula ...
V = (4/3)πr^3
So, the ratio of the sphere volume to the cylinder volume is ...
sphere volume / cylinder volume = ((4/3)πr^3)/(2πr^3) = (4/3)/2 = 2/3
That is, the sphere volume is ...
sphere volume = (2/3) × (cylinder volume)
V = (2/3)(11)
Find the approximate side length of a square game board with an area of 155in2.
Answers
The side of a square is the square root of the area.
Side = sqrt(155)
Side = 12.45 inches. (Round answer as needed)
A food truck sells burgers and hot dogs. During lunch, it sold 88 items for a total of $331. If burgers cost $4.50 and hotdogs cost $3.25, how many of each item were sold?
Answers
Number of hot dogs = d = 52
We know that b + d = 88 (they sold 88 items)
And 4.5b + 3.25d = 331 (price • number = money made)
So we will solve the first equation for b in terms of d, then substitute that in the second equation to sell for a numerical value of d.
b + d = 88
b = 88-d
4.5(88-d) + 3.25d = 331
396 - 4.5d + 3.25d = 331
-1.25d = -65 (divide both sides by -1.25)
d = 52
Now plug that into the first equation to get a numerical value for b.
b = 88 - d
b = 88 - 52
b = 36
Checking the math:
4.5(36) + 3.25(52) = 162 + 169 = 331
Please lmk if you have any questions
rewrite each of the following expressions without using absolute value:
∣4r-12∣if r<3
Answers
Answer:
12-4r
Step-by-step explanation:
4r<12 because r<3 so you flip it.
rewrite the expression without absolute value bars
Answers
The expression without absolute value bars is 3.84.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
|√10 - 7 |
= | 3.16 - 7 |
= | -3.84 |
= 3.84
Thus,
The value of the expression is 3.84.
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Find the value of x. (HINT: Is there only one solution?) 2 If x² = 100, what is x? 2 If x = 49, what is x?
Answers
Step-by-step explanation:
x² = 100
x = 10, x = -10
x² = 49
x = 7, x = -7
what happened to tansen when he sang the deepak raga with great vigour
\(7x5\)
Answers
hi, can you help me answer this question, please, thank you:)
Answers
Remember that the total probability of an event (the check out) is equal to 1. In our problem, the time it takes to check out is distributed in an interval of 14-1=13min.
a) Therefore, the height of the distribution is given by:
\(\begin{gathered} h\cdot13=1 \\ \Rightarrow h=\frac{1}{13}=0.0769\ldots \\ \Rightarrow h\approx0.0769 \end{gathered}\)Once we have rounded the result, the answer is height=0.0769.
b) Notice that 7min-4min=3min, and the probability is equally distributed along 13 minutes, then:
\(\begin{gathered} P(4Thus, the answer is P(4c) If the check out takes us less than 10 minutes, it means that it takes between 1 and 10 minutes (9.99999999... minutes). Therefore, the probability is:\(\begin{gathered} P(X<10)=\frac{10-1}{13}=\frac{9}{13}=0.692307\ldots \\ \Rightarrow P(X<10)\approx0.6923 \end{gathered}\)The answer is P(X<10)=0.6923d) Notice that\(\begin{gathered} P(X<10)+P(X\ge10)=1 \\ \Rightarrow P(X\ge10)=1-P(X<10) \\ \Rightarrow P(X\ge10)=1-\frac{9}{13}=\frac{4}{13}=0.307692\ldots \\ \Rightarrow P(X\ge10)\approx0.3077 \end{gathered}\)The answer is P(X=>10)=0.3077Tyra bought 4.5 pounds of strawberries they cost $2.60 a pound how much did she spend
Answers
Answer:
11.70
Step-by-step explanation:
I NEED HELP!! I'll give you brainliest!! A high school wants to expand its P.E. schedule. To better understand the needs of the students, the principal looked at which forms of exercise are preferred by the 18 students in the sample group.The Venn Diagram shows this information be gathered.a. How many students preferred swimming over running or walking?b. How many students choose running or walking?c. Which students preferred swimming and walking, but not running
Answers
Answer:
a. Three students preferred swimming over running and walking.
b. Fourteen students chose running or walking.
c. Alex and Jose preferred swimming and walking, but not running.
Match the prompts together.
Answers
When matched, the prompts on asymptotes would be:
Vertical asymptote at x=0: The cost of producing pills can never reach 0.Decreasing on (0,∞): As the number of pills produced gets smaller, the average cost of production greatly increases.Horizontal asymptote at y=0: The cost of producing pills cannot be negative.Positive on (0,∞): As more pills are produced, the average cost per pill decreases.How to match the asymptote statements ?The presence of a vertical asymptote at x=0 signifies that the cost of producing pills can never reach a value of 0, remaining persistently positive. Simultaneously, the horizontal asymptote at y=0 serves as a reassuring indication that the cost of producing pills cannot be negative, as it steadfastly remains at or above zero.
This crucial constraint ensures that the cost incurred in the pill production process is always a non-negative quantity. Consequently, the prompt related to the impossibility of negative costs aligns with this notion.
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On January 3, 2004, after a journey of 300 million miles, the rover Spirit landed on Mars and began sending back information to Earth. It landed only six miles from its target. This accuracy is comparable to shooting an arrow at a target fifty feet away and missing the exact center by what distance?
Answers
This accuracy is comparable to shooting an arrow at a target fifty feet away and missing the exact center by the distance; 0.000001 miles
How to solve proportion word problems?Proportion word problems are simply ways of expressing proportion problems in words. For example we share oranges among three people each receiving 2, 3 and 4 respectively and as such the ratio of the proportion is 2:3:4.
Now, we are told that after a journey of 300 million miles, the rover Spirit landed on Mars and began sending back information to Earth. It landed only six miles from its target. This is comparable to shooting an arrow at a target fifty feet away and missing the exact center.
Thus, if the comparable distance missed is x, then we can say that;
x/50 = 6/300000000
x = (6 * 50)/300000000
x = 3/3000000
x = 0.000001
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3f–4g=1
6f–6g=5
use the elimination method
Answers
6f-6g= 5 —(2)
(1)x2:6f-8g= 2 —(1a)
(1a)-(2):(6f-8g)-(6f-6g)= 2-5
6f-8g-6f+6g= -3
-2g= -3
g= 3/2
Substitute g= 3/2 into (1):
3f-4(3/2)=1
3f-6=1
3f=7
f =7/3
The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model correctly illustrates the relationship? Check all that apply.
y = 10.4 x
y = 2.6 x
y = 4 x
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 13, 26, 39. Column 2 is labeled Total cost (in dollars) with entries 5, 10, 15.
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39.
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13).
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (3, 1) and (18, 7).
Answers
Answer:
i think y = 10.4
Step-by-step explanation:
Answer:
B,E,F
Step-by-step explanation:
edge 2022
can I get brainiest pls
What is the first step when adding the fractions 2/5+7/10
Answers
Answer:
firs find the least common multiple (LCM) of the denominators
Step-by-step explanation:
2/5+7/10
Multiples of 5 = {5,10,15,20,25,30,35...}
Multiples of 10 = {10,20,30,40,50...}
Common multiples = {10,20,30,...}
Least Common Multiples = {10}
2/5+7/10
= 2(2) + 7(1)
= 11/LCM
But the LCM = 10
11/10
Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x
Answers
Answer:
x ≈ 5.89
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Exponential to Logarithmic: \(\displaystyle b^m=x \rightarrow log_bx=m\)Step-by-step explanation:
Step 1: Define
Identify
0.77 = log(x)
Step 2: Solve for x
[Equality Property] Raise both sides to the 10th power: \(\displaysytle 10^{0.77} = 10^{logx}\)Simplify: \(\displaysytle x = 10^{0.77}\)Evaluate: \(\displaysytle x = 5.88844\)