Which of the following equations has no solution? 4(x+4)=7+3x+5
3x+5−4x=−(x+8) 3(4x+3)=2+8x+7+4x 10x−2(4x+3)+1=2x+7−2x

Answer:

x = 15

Step-by-step explanation:

8²+b²=17²

64+b²=289

b²=225

b=15

Answer:

x = 142/83

y = 111/83

z = 452/83

Evaluating the function in the values of the domain we will get some coordinate pairs. The graph of these is in the image at the end.

Here we have the function:

3x - y = 1

And we want to graph this in the domain (-3, -1, 0, 4)

To do so, we need to evaluate the function (the values of x) in the values of the domain.

Solving the equation for y we get:

y = 3x - 1

Now, when x = -3

y = 3*-3 - 1 = -10

when x = -1

y = 3*-1 - 1 = -4

when x = 0

y = 3*0 - 1 = -1

When x = 4

y = 3*4 - 1 = 11

So we have the points (-3, -10), (-1, -4),  (0, -1), (4, 11)

The graph of these points is on the image below.

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\(log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)\) is the completely expanded logarithmic expression .

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to  base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.

The most common types of logarithms are  the base 10 common logarithm, the base 2 binary logarithm, and  the base  e ≈ 2.71828 natural logarithm.

the product rule for logarithms is

\(log_{b}(MN) = log_{b}(M) + log_{b}(N)\)  for b > 0

now ,

\(log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)\)

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Answer:

C, 9

Step-by-step explanation:

Start by substituting. \(a-10b/c\) should turn into \(2 - 10(1/2) / -(1/3)\). Then do all the multiplying in the parentheses to get \(2-5/-(1/3)\). Subtract 2-5 to get \(-3/-(1/3)\). 1/3 goes into one three times, so it goes into three nine times. By negating both 1/3 and 3, the nine stays positive, so the answer is 9.

Ms. Banacka purchased a total of 25 items and spent $95.

Since each package of water balloons costs $3.25 and each water gun cost $4.50, we can calculate the total cost of the water balloons and water guns together.

Total cost of water balloons = 3.25 x number of packages of water balloons purchased

Total cost of water guns = 4.50 x number of water guns purchased

Total cost of all items = number of packages of water balloons x 3.25 + number of water guns x 4.50

Since the total cost of all items is $95 and the total cost of the water balloons is 3.25 x number of packages of water balloons purchased, we can set up the following equation:

3.25 x number of packages of water balloons purchased + number of water guns x 4.50 = 95

To solve this equation, we can first calculate the total cost of the water guns by subtracting the total cost of all items ($95) from the total cost of the water balloons (3.25 x number of packages of water balloons purchased):

number of water guns x 4.50 = 95 - 3.25 x number of packages of water balloons purchased

Now we can solve for number of water guns:

number of water guns = (95 - 3.25 x number of packages of water balloons purchased) / 4.50

We know that the total number of items purchased is 25, so the number of water guns must be equal to 25 minus the number of packages of water balloons purchased:

number of water guns = 25 - number of packages of water balloons purchased

Substituting this expression for number of water guns in our original equation gives us

3.25 x number of packages of water balloons purchased + (25 - number of packages of water balloons purchased) x 4.50 = 95

Now we can solve for number of packages of water balloons purchased:

number of packages of water balloons purchased = (95 - 25 x 4.50) / (3.25 - 4.50)

Simplifying, we get

number of packages of water balloons purchased = 16

Therefore, Ms. Banacka purchased 16 packages of water balloons.

Answer:

AB/2 = 6 and 12 = AB

Step-by-step explanation:

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

The equation of the line is y=3÷5x+4.

Here, we need to figure out the slope of this curve.

if two lines are perpendicular to each other and both of their slopes exist, the product of their slopes is equal to -1.

k1 = -9-6÷1-(-4)

   = -5÷3

k2-k1  = -1

∴k2= 3÷5

y-1= 3÷5[x-(-5)]

y= 3÷5÷x+4

Hence, The equation of the line is y=3÷5x+4.

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Answer:

24 miles.

Step-by-step explanation:

Jackie traveled four times as many miles by bus as by foot. This means that the number of miles travelled by bus is 4 units, and the number of miles travelled by foot is 1 unit.

Jackie traveled three times as many miles by train as by bus. We know that the number of miles travelled by bus is 4 units, so the number of miles travelled by train is \(4\times3=12\) units.

Total number of units: \(12units+4units+1unit=17units\)

\(17units=34\)

Divide 17:

\(1 unit=2\)

The number of miles travelled by train is 12 units:

\(12units=2\times 12=24\)

She travelled 24 miles by train.

Answer:

24 miles

Step-by-step explanation:

Statement of the given problem,

On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?

Let T, B & F denote the distances (in miles) traveled by train, bus & foot respectively.

Hence from above data we get following relations,

T = 3*B

or B = T/3

B = 4*F

F = B/4 = T/3/4 = T/12

T + B + F = 34

or T + T/3 + T/12 = 34

or 17*T/12 = 34 or T = 12*34/17 = 24 (miles) [Ans]

Answer:

If you want to tip the waiter 15%, he will receive a $8.70 tip.   hope this helps :]

Step-by-step explanation:

Answer:

$8.70

Step-by-step explanation:

the waiter will receive $8.70.

so in this equation you want to find out how much the waiter is going to receive in the bill for a tip so your going to multiply the initial bill by the percentage of 15% to get your tip:

58 * 0.15

the reason we have made the percentage a decimal is because it is easier to calculate in a decimal than a percentage when we're doing money. you could make a percentage a fraction but lets not go into that.

58 * 0.15 = 8.7

now convert your answer into money:

the waiter will receive $8.70 out of the $58.00

Hope this helps

Answer:

The 95% confidence interval   \( 81.852  <  \mu <  280.098 \)

Step-by-step explanation:

From the question we are told that

   The  sample mean is  \(\= x  =  180.975\)

   The standard deviation is  \(\sigma  =  143.042\)

   The sample size is n = 8

Given that the confidence level is  95%  then 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  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>  \(E = 1.96 *  \frac{ 143.042 }{\sqrt{8} }\)

=>  \(E = 99.123 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

=>    \(180.975 -99.123 <  p <  180.975 +99.123\)

=>    \( 81.852  <  \mu <  280.098 \)

Using the t-distribution, it is found that the 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).

The information given is:

We have the standard deviation for the sample, hence, the t-distribution is used.

The interval is given by:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The critical value for a two-tailed 95% confidence interval with 8 - 1 = 7 df is t = 2.3646.

Then:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 180.975 - 2.3646\frac{143.042}{\sqrt{8}} = 61.39\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 180.975 + 2.3646\frac{143.042}{\sqrt{8}} = 300.56\)

The 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).

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Answer:

2/5

Step-by-step explanation:

Answer:

D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.

Step-by-step explanation:

Pretty much, dependent means it can’t be replaced and independent means it can be replaced.

Answer:

11

Step-by-step explanation:

x*2 + 5

Subtitute

3*2 + 5

6 + 5

11

Answer:

11

Step-by-step explanation:

x is 3

2x+5

2(3)+5

6+5

11

Answer:

Giving a value

Step-by-step explanation:

The value itself is called an interpretation of the corresponding expression.

Answer:

12

Step-by-step explanation:

Answer:

C. 12°

May I have brainliest please? :)

Answer:

The y intercept is (0,-22)

Step-by-step explanation:

The y intercept is the value when x =0

Y=5x-22

y = 5*0 -22

y = -22

The y intercept is (0,-22)

Answer:

16 boxes

Step-by-step explanation:

16x5=80+150=230>15x16=240

The equation of the perpendicular bisector of the line segment is y = - (1 / 2) · x - 2.

In this problem we find a line segment whose endpoints are known and we need to determine the equation of the line perpendicular such that the segment is partitioned into two segments of equal length. Now we present the procedure. First, determine the coordinates of the midpoint:

M(x, y) = 0.5 · (8, - 1) + 0.5 · (4, - 9)

M(x, y) = (6, - 5)

Second, determine the slope of the line segment:

m = [- 9 - (- 1)] / (4 - 8)

m = (- 8) / (- 4)

m = 2

Third, calculate the slope of the bisector:

m' = - 1 / m

m' = - 1 / 2

Fourth, determine the intercept of the bisector:

b = y - m' · x

b = - 5 - (- 1 / 2) · 6

b = - 5 + 3

b = - 2

The equation of the perpendicular bisector of the line segment is y = - (1 / 2) · x - 2.

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The key features of the given quadratic functions are listed below.

In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.

For the quadratic function y = 3x² - 5, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, -5).

Domain: [-∞, ∞]

Range: [-5, ∞]

For the quadratic function y = -2x² + 12x - 15, the key features are as follows;

Axis of symmetry: x = 3.

Vertex: (3, 3).

Domain: [-∞, ∞]

Range: [-∞, 3]

For the quadratic function y = -x² + 1, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, 1).

Domain: [-∞, ∞]

Range: [-∞, 1]

For the quadratic function y = 2x² - 16x + 30, the key features are as follows;

Axis of symmetry: x = 4.

Vertex: (4, -2).

Domain: [-∞, ∞]

Range: [-2, ∞]

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Answer:

9 1/6

Step-by-step explanation:

Add the whole numbers: 5+8

Combine the fractions by making their denominator the same: 7/6

Add 6/6 = 1 so add to the whole numbers to make this a mixed fraction.

Answer:

9 1/6

Step-by-step explanation:

5 2/3 + 3 1/2 =

We need to get a common denominator of 6

5 2/3 *2/2 = 5 4/6

3 1/2 *3/3 = 3 3/6

5 4/6 + 3 3/6

8 7/6

8+ 6/6 + 1/6

8 + 1 + 1/6

9 1/6

Therefore, out of the 24 students that Blake interviewed, 9 of them participate in sports.

An equation is a mathematical statement that indicates that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign "=" which means that the two expressions have the same value.

Here,

According to the table, Blake interviewed a total of 24 students. To find out how many of these students participate in sports, we need to add up the number of students who collect sports cards and participate in sports, as well as the number of students who do not collect sports cards and participate in sports. So:

Total students who participate in sports = Number of students who collect sports cards and participate in sports + Number of students who do not collect sports cards and participate in sports

Total students who participate in sports = 6 + 3

Total students who participate in sports = 9

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Let's represent the number of students the bus can hold as: "s"

Therefore, the inequality to represent the number of students who can attend the field trip on the bus is

s is less than or equal to 44 = s ≤  44

Option B is the correct option.

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Answer: -31

Step-by-step explanation:

f(x)=x²+x-12

f(-5)=(-5)²+(-5)-12

 =25-5-12

 =25-17

 =8

now, g(x)= -2x-15

 =(-2)×(8)-15

 = -16-15

 = -31



Answer:

B.) 0.6 and 0.9

Step-by-step explanation:

0.06 times 0.09 is 0.0054, 1.06 times 1.09 is 1.1554, and 1.6 times 1.9 is 3.04. Therefore, B.) 0.6(0.9) is the only answer.

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Answer:

30= 20 so, that’s 10 dollars of

                                            1o+ 7. 5=17. 5+10=27 .50

Step-by-step explanation:

I took the test hope this helps

Answer:

(0,3)

Step-by-step explanation [0,3] indicates that the numbers are greater or equals to 0 and less than or equals to 3; while (0,3) leaves out the equal sign