Complete this statement:
36x3a + 45xa? = 9xal
Enter the correct answer.

Answer:

D

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

[tex]\sqrt{(x+5)^2+(y-5)^2}[/tex] = | y + 1 |

Squaring both sides

(x + 5)² + (y - 5)² = (y + 1)^2 , that is

(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides

(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify

y² + 2y + 1 - y² + 10y - 25 = (x + 5)²

12y - 24 = (x + 5)² ← factor left side

12(y - 2) = (x + 5)² ← divide both sides by 12

y - 2 = [tex]\frac{1}{12}[/tex] (x + 5)² ← add 2 to both sides

y = [tex]\frac{1}{12}[/tex] (x + 5)² + 2

or

f(x) = [tex]\frac{1}{12}[/tex] (x + 5)² + 2 → D

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Calculate the scale factor as the ratio of the corresponding sides of the image to the original.

corresponding sides are image 0.5 and original 2.5

scale factor = [tex]\frac{0.5}{2.5}[/tex] = [tex]\frac{1}{5}[/tex] = 0.2

Answer:  d) No solution.

Step-by-step explanation:

Given the equation:

 [tex]\frac{3}{2}=\frac{3x}{2x}-\frac{6}{5x}[/tex]

The denominator of the fractions cannot be zero, then, the Domain is:

[tex]x\neq 0[/tex]

Simplify:

 [tex]\frac{3}{2}=\frac{3}{2}-\frac{6}{5x}[/tex]

Subtract [tex]\frac{3}{2}[/tex] from both sides of the equation. Then you get:

[tex]\frac{3}{2}-(\frac{3}{2})=\frac{3}{2}-\frac{6}{5x}-(\frac{3}{2})\\\\0=-\frac{6}{5x}[/tex]

Multiply both sides of the equation by [tex]5x[/tex] ([tex]5x \neq 0[/tex]), then:

[tex](5x)(0)=(-\frac{6}{5x})(5x)[/tex]

Since the multiplication of [tex]5x[/tex] by zero is zero, you get:

 [tex]0=-6[/tex]  (This is FALSE)

Therefore, since there is no value for the variable that makes the equation true, the equation has NO SOLUTION.

Answer:

CORRECT ANSWER IS 1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

A.

2.3y + 2 + 3.1y = 4.3y + 1.6 + 1.1y + 0.4              combine like terms

(2.3y + 3.1y) + 2 = (4.3y + 1.1y) + (1.6 + 0.4)

5.4y + 2 = 5.4y + 2              subtract 5.4y from both sides

2 = 2   TRUE → infinitely many solutions

B.

32x + 25 - 21x = 10x          combine like terms

(32x - 21x) + 25 = 10x

11x + 25 = 10x           subtract 11x from both sides

25 = -x       change the signs

-25 = x → x = -25   One solution

C.

1/3 + 1/7y = 3/7y              subtract 1/7y from both sides

1/3 = 2/7y             multiply both sides by 7

7/3 = 2y      divide both sides by 2

7/6 = y → y = 7/6       One solution

D. ?

Answer:

SD = 17.1 miles

Step-by-step explanation:

In order to find the SD we have to calculate mean first

So,

[tex]Mean = \frac{sum}{no.\ of\ items} \\=\frac{25+40+35+25+40+60+75}{7}\\ =\frac{300}{7}\\ =42.86[/tex]

Now mean will be subtracted from each value and the answers will be squared

So,

X            X-mean          (X-mean)^2

25           -17.86            318.9796

40            -2.86             8.1796

35             -7.86            61.7796

25            -17.86            318.9796

40             -2.86             8.1796

60             17.14             293.7796

75              32.14           1032.9796

So,

Sum of squares = 2042.8572

As SD is the square root of variance

so,

Variance = Sum of squares / number of data values

=2042.8572/7

=291.84

Hence,

[tex]SD = \sqrt{Variance} =\sqrt{291.84} \\=17.083\\to\ the\ nearest\ tenth\\SD=17.1\ miles[/tex]   ..

Answer:

17.1

Step-by-step explanation:

The standard deviation of the miles Henry hiked is 17.1

Shari did not ride the bus to work.

Answer:

Shari did not ride the bus to work.

Step-by-step explanation:

Shari rode the bus to work. What is the negation of this statement?

Negation of a statement means putting a 'not' in the sentence, to make it overall negative.

So, here, the negation of the above given sentence is -

Shari did not ride the bus to work.

[tex](x-8)^2(x+7)>0 \\x\in(-7,8)[/tex]

Answer:

y=4x-3

Step-by-step explanation:

Answer: It would be y=4x-3

Step-by-step explanation:

The format this is under is called slope intercept and we have our slope which is 4 and the Y-Intercept of -3. So the equation for this is y=mx+b and m is your slope and b is your y intercept always. Hope this helps :)

Answer:

C) 360π

Step-by-step explanation:

Note the formula for the volume of Cylinder:

V(olume) = πr²h

π = 3.14

r = radius

h = height of the cylinder

V = (3.14)(6²)(10)

Simplify. First, solve the power, then multiply

V = (3.14)(36)(10)

V = 3.14 * 360

V = 1130.97

However your answer choices all shows π, so just back track a bit.

V = 360π is your answer, or C).

~

Answer:

360π

Step-by-step explanation:

formula for finding the volume of a cylinder is

πr²h

3.14 x 6² x 10 =1130.4

you take the answer you get and divide it to the pi to get the pie answer

1130.4/3.14 = 360π

      Hope this helps and if it does mark as branliest answer thx

Answer:

[tex]-\underbrace{4\times4\times4\times4\times4\times4\times4\times4}_{8}=-4^8[/tex]

The guy below is correct!

You're right. It is D All real numbers

There are no restrictions to the value of x

The domain of the given function is "All real numbers". So, option D is correct.

The given function is f(x) = 2×[tex](\frac{1}{10})^x[/tex]

Since this function has the variable x in the exponent, this is an exponential function.

So, its inputs are of all real numbers. And the domain is {x:x ∈ R}.

Thus, option D is true.

Learn more about the domain and range of a function here:

https://brainly.com/question/1942755

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Answer:

None of the functions are even.

Step-by-step explanation:

An even function is a function that appears unchanged if reflected upon the y axis.

An example of such function is the function y = x^2, which would not appear to have been changed if we were to reflect it across the y axis.

The core property of even functions is that for any even function f(x), the following condition is always true:

[tex]f(x) = f(-x)[/tex]

Thus, if we'd like to identify whether or not a function is even, we can check if that condition is true. If it is, the function is even.

Now that we know how to identify even functions, we can apply this method to all of the given options and identify whether or not they're even.

[tex]$\begin{enum}\begin{align}\text{1) }&f(x) = x^4-x\\&f(-x)= (-x)^4-(-x)=x^4+x\\\\&\implies f(x)\neq f(-x) \textbf{ Not even!}\\\\\text{2) }&f(x)=x^2-3x+2\\&f(-x)=(-x)^2-3(-x)+2=x^2+3x+2\\\\&\implies f(x)\neq f(-x) \textbf{ Not even!}\\\\\text{3) }&f(x)=x - 2\\&f(-x)=-x-2=-(x-2)\\\\&\implies f(x)\neq f(-x) \textbf{ Not even!}\\\\\text{4) }&f(x)=x\\&f(-x)=-x\\\\&\implies f(x)\neq f(-x) \textbf{ Not even!}\end{align}\end{enum}$[/tex]

None of the functions are even.

Answer:

Find the attached

Step-by-step explanation:

The inequality;

x ≤ 18

represents values of x that are at most 18. That is values that are less than or equal to 18. We can first graph the vertical line x = 18 and then shade the region to the left of this line. This shaded region will be our solution set for the inequality x ≤ 18.

Find the attached;

Answer: A. True.

Step-by-step explanation:

Considering the given figure,

Given : ∠ABD ≅ ∠CBD

In Δ ABD and Δ CBD , we have

∠ABD ≅ ∠CBD             [given]

∠A≅ ∠C ≅90°             [right angle]

BD ≅ BD                      [Reflexive property]

⇒ Δ ABD ≅ Δ CBD

⇒ AD=CD           [By CPCTC]

CPCTC is property of congruent triangle that means that Congruent parts of congruent is congruent.

Hence, the correct answer is "True".

Answer:

106 + 130 + 149 + 192 + 118 + 168 =

863 total students

192 + 118 + 168 = 478 sophomores

P(sophomore) = 478/863

= about .5539

The probability that a randomly chosen student was a sophomore is approximately [tex]\(0.5538\)[/tex] .

To find the probability that a randomly chosen student was a sophomore, we need to calculate the total number of students and the total number of sophomores. Then we use the probability formula:

[tex]\[ P(\text{Sophomore}) = \frac{\text{Number of Sophomores}}{\text{Total Number of Students}} \][/tex]

Step-by-Step Calculation

1. Number of Freshmen:

- A's: 106

- B's: 130

- C's: 149

Total Freshmen:

[tex]\[ 106 + 130 + 149 = 385 \][/tex]

2. Number of Sophomores:

- A's: 192

- B's: 118

- C's: 168

Total Sophomores:

[tex]\[ 192 + 118 + 168 = 478 \][/tex]

3. Total Number of Students:

[tex]\[ 385 + 478 = 863 \][/tex]

4. Probability Calculation:

[tex]\[ P(\text{Sophomore}) = \frac{478}{863} \][/tex]

Let's calculate this probability and round to 4 decimal places:

[tex]\[ P(\text{Sophomore}) \approx \frac{478}{863} \approx 0.5538 \][/tex]

Answer:

4

Step-by-step explanation:

16 cups = 4 quarts

Please mark brainliest and have a great day!

Answer:

4 quarts

Step-by-step explanation:

We are given that a container of fruit punch serves 16 cups and we are to find the number of quarts that are in a container.

For this, we will use the ratio method.

We know that, 1 cup = 0.25 quarts, so:

[tex] \frac { 1 cup } { 1 6 cups } = \frac { 0 . 2 5 quarts } { x } [/tex]

[tex] x = 1 6 \times 0 . 2 5 [/tex]

[tex]x=4 quarts[/tex]

Therefore, there are 4 quarts of fruit punch in the container.

Answer:

24

Step-by-step explanation:

x + x + 1 = 49

x + x = 2x = 48

x = 48 ÷ 2 = 24

Answer:

option is c)

Step-by-step explanation:

the answer is option is c) PCM programming device.

The device shown in the figure shows is  PCM programming device.

PCM programming device is powertrain control module which is used as the mini computer in the cars.

It is used to improve the performance of car.

It is also used to fix the negative bug in the car which can effect the performance of the car.

Answer:

case a) [tex]x^{2}=3y[/tex] ----> open up

case b) [tex]x^{2}=-10y[/tex] ----> open down

case c) [tex]y^{2}=-2x[/tex] ----> open left

case d) [tex]y^{2}=6x[/tex] ----> open right

Step-by-step explanation:

we know that

1) The general equation of a vertical parabola is equal to

[tex]y=a(x-h)^{2}+k[/tex]

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open upward and the vertex is a minimum

If a<0 ----> the parabola open downward and the vertex is a maximum

2) The general equation of a horizontal parabola is equal to

[tex]x=a(y-k)^{2}+h[/tex]

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open to the right

If a<0 ----> the parabola open to the left

Verify each case

case a) we have

[tex]x^{2}=3y[/tex]

so

[tex]y=(1/3)x^{2}[/tex]

[tex]a=(1/3)[/tex]

so

[tex]a>0[/tex]

therefore

The parabola open up

case b) we have

[tex]x^{2}=-10y[/tex]

so

[tex]y=-(1/10)x^{2}[/tex]

[tex]a=-(1/10)[/tex]

[tex]a<0[/tex]

therefore

The parabola open down

case c) we have

[tex]y^{2}=-2x[/tex]

so

[tex]x=-(1/2)y^{2}[/tex]

[tex]a=-(1/2)[/tex]

[tex]a<0[/tex]

therefore

The parabola open to the left

case d) we have

[tex]y^{2}=6x[/tex]

so

[tex]x=(1/6)y^{2}[/tex]

[tex]a=(1/6)[/tex]

[tex]a>0[/tex]

therefore

The parabola open to the right

Answer:

The answer is 4.

Step-by-step explanation:

8/3 ÷ 2/3 = 8/3 x 3/2 = 4

4

Change this to multiplication by flipping the second fraction to [tex]\frac{3}{2}[/tex].

Multiply the numerators.  [tex]8*3=24[/tex]

Multiply the denominators. [tex]3*2=6[/tex]

Simplify.  Divide 24 by 6. [tex]\frac{24}{6} = 4[/tex]

Answer:

I believe the answer is C. 36

Step-by-step explanation:

Because a perfect square is everything that equals the same number

Ex: all of the sides of a square is 6, you can't do that with any of the other numbers.

Hope my answer has helped you!

Answer:

Step-by-step explanation:

let : f(x) = (x²-x+1)/x+1

limf(x) = lim(x²/x) = limx = - -∞   and limf(x) =+ ∞

x → - -∞                                               x → +∞

lim/f(x)/ = ∞       .......  x = 1 is the line asymptote

limf(x)/x = 1

 x → + -∞

lim (f(x) -x ) = -1 .....so y =x -1  is the second line asymptote

x → + -∞

x → 1  

The function for the reflection across the y-axis can be written as: f(x,y)=(−x,y)

To reflect a point across the y-axis, we multiply its x-coordinate by -1. This means that if a point has coordinates (x,y), its reflection across the y-axis will have coordinates (−x,y).

We can use this to define a function for the reflection across the y-axis. Let f(x,y) be the function that reflects a point across the y-axis. Then, for any point (x,y), we have:

f(x,y)=(−x,y)

In other words, f(x,y) takes a point (x,y) and returns its reflection across the y-axis.

We can also write this function in terms of components. Let x and y be the coordinates of a point. Then, the reflection of this point across the y-axis has coordinates (−x,y). Therefore, the function for the reflection across the y-axis can be written as:

f(x,y)=(−x,y)

This function takes the coordinates of a point as input and returns the coordinates of its reflection across the y-axis as output.

Answer:

C) 33%

Step-by-step explanation:

To solve for the percentage of success, we first need to find out how many numbers we are working with. In this case, there are 9 numbers (0,1,2,3,4,5,6,7,8).

Since there are 3 "successful" numbers, (0,1,2), we can write the probability as a fraction

3/9 (represents number of successes over number of possible outcomes)

This simplifies to be 33%

Answer:

C

Step-by-step explanation:

Since you include zero as a number, then it would be 9 numbers in all. 3 if the nine numbers are success, so it would be 3/9. 3/9 as a percent would be around 33 percent.

Answer:

Part a) [tex]22.95+0.43x \leq 25[/tex]

Part b) The maximum number of candy bars that you can purchase is 4

Part c) The change would be [tex]\$0.33[/tex]

Step-by-step explanation:

Part a) Write an equation representing your shopping experience and use x for the number of candy bars

Let

x -----> the number of candy bars

we know that

The inequality that represent this problem is equal to

[tex]2(3.50)+2(2.75)+10.45+0.43x \leq 25[/tex]

[tex]22.95+0.43x \leq 25[/tex]

Part b) Solve the equation to determine how many candy bars can you purchase?

[tex]22.95+0.43x \leq 25[/tex]

Solve for x

Subtract 22.95 both sides

[tex]0.43x \leq 25-22.95[/tex]

[tex]0.43x \leq 2.05[/tex]

Divide by 0.43 both sides

[tex]x \leq 2.05/0.43[/tex]

[tex]x \leq 4.8[/tex]

The maximum number of candy bars that you can purchase is 4

Part c) How much change would you have left?

If you purchase 4 candy bars

then

[tex]22.95+0.43(4)=\$24.67[/tex]

therefore

[tex]\$25-\$24.67=\$0.33[/tex]

The equation representing the shopping experience is 3.50*2 + 2.75*2 + 10.45 + 0.43x = 25. The maximum number of candy bars you can purchase is 4. You would have $1.05 in change left.

a. The equation representing your shopping experience can be written as: 3.50*2 + 2.75*2 + 10.45 + 0.43x = 25, where x represents the number of candy bars.

b. To determine how many candy bars you can purchase, we need to solve the equation for x. First, combine like terms: 7 + 5.50 + 10.45 + 0.43x = 25. Subtracting 22.95 from both sides gives 0.43x = 2.05. Dividing both sides by 0.43 gives x ≈ 4.77. Since you can't purchase a fraction of a candy bar, the maximum number of candy bars you can buy is 4.

c. To find out how much change you would have left, subtract the total cost of items from your budget. The cost of items is 3.50*2 + 2.75*2 + 10.45 = 23.95. Subtracting this from your budget of $25 gives 25 - 23.95 = $1.05 in change.

Answer:

60.3

Step-by-step explanation:

opposite = 14

adjacent = 8

Tan(B) = opposite / adjacent

Tan(B) = 14 / 8

Tan(B) = 1.75

B = tan-1(1.75)

B = 60.3

Answer:

-2

Step-by-step explanation:

given 2 points on a line (x1, yx) and (x2,y2)

the formula for slope, m  = (y2-y1) / (x2-x1)

in this case,

x1 = 4, y1 = 3, x2 = 2, y2 = 7

Hence,

m  = (7-3) / (2-4) = 4 / -2 = -2

The slope of the line that contains the points (4, 3) and (2, 7) is -2.

To estimate the slope of the line that has the points (4,3) and (2,7)

Slope formula = y₂ - y₁ / x₂ - x₁

From the question, the points given are; (4,3) and (2,7)

So,  x₁ = 4, y₁ = 3, x₂ = 2 and y₂ = 7

Slope of the line = 7 - 3 /  2- 4

   = -2

The slope of the line is -2.

therefore, the correct answer is option D. -2.

To learn more about slope equation

https://brainly.com/question/10400643

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Answer:

64,800 cars

Step-by-step explanation:

45 cars times 60 = 2700 cars per hour

2700 times 24 hours = 64,800 cars per day

64,800

Basically i put into the calculator 45 times 60 then that times 24 and thats how i got 64,800.

4 goes exactly 22.25 times. That means that it goes in 22 FULL times

Hope this helped!

~Just a girl in love with Shawn Mendes