Line a is parallel to line b. Which statement about lines a and b is true

Answer:

B.) 12

Step-by-step explanation:

h(x) = 3^x + 3

h(2) = 3^2 + 3

h(2) = 9 + 3

h(2) = 12

Multiply 14 by 0.3

14 x 0.3 = 4.2

The answer is 4.2

Answer:

4.2 is the answer

Step-by-step explanation:

Remember, in math, 'of ' always mean multiplication!!!

Answer:

i think [after solving] that it is option B and C

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

1st find the scale factor which was 1.5 by doing 13.5/9

2nd do 15 * 1.5 to get x

Answer:

y = 3/4x -2

Step-by-step explanation:

Rise 3, run 4. Slope 3/4. Y intercept at -2.

Step-by-step explanation:

Rs8,100 / (Rs45 per square meter)

= 180 square meters.

The area of the 4 walls of the room is 180 sq.m.

Answer:

y would be 6

Step-by-step explanation:

Because 5 x 3 would be 15

then you would do 2 x 3 would be 6

Answer:

y=2/3

Step-by-step explanation:

first make the equation to interpret the question

x=k/y

find the value of k, which is a constant

when x=5 and y=2

5=k/2

k=10.

hence, find y when x=15

x=k/y

x=10/y

15=10/y

cross multiply

15y=10

divide both sides by 15

y=10/15

y=2/3

Answer: they started at 360 feet

The y-intercept means the height above the canyon floor is 360 feet at

t = 0.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The y-intercept in a graph is the point on the y-axis.

This point is when x = 0.

So,

From the given context it means,

The height above the canyon floor is 360 feet at t = 0.

Thus,

The y-intercept means the height above the canyon floor is 360 feet at

t = 0.

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Answer:

[tex]5(x - 2) = \frac{15x + 6}{3} - 12 \\ 5(x - 2) = \frac{15x + 6 - 36}{3} \\ 5(x - 2) = \frac{15x - 30}{3} \\ 5(x - 2) = \frac{15(x - 2)}{3} \\ 15(x - 2) = 15(x - 2)[/tex]

Answer:

All real numbers

Step-by-step explanation:

Given

5(x - 2) = [tex]\frac{15x+6}{3}[/tex] - 12

Multiply through by 3 to clear the fraction

15(x - 2) = 15x + 6 - 36 ← distribute left side and simplify

15x - 30 = 15x - 30

Since both sides are equal then any real value of x will be a solution.

Thus the solution is All real numbers

3. Graph the given quadratic function in the factored form as shown below.

4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

The given quadratic function in factored form is y = (x - 3)(x + 1).

Graph of the given quadratic function in the factored form as shown below.

Zeros: The zeros of the function occur when y = 0.

So the zeros of the function are x = 3 and x = -1.

Axis of Symmetry:  

The axis of symmetry is x = (3 + (-1)) / 2 = 1.

Vertex:

The vertex is (1, -4).

Y-intercept:

The y-intercept is (0, -3).

Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).

Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.

Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)

Using the given information, the vertex form equation can be written as:

[tex]y = a(x - (-1))^2 + 3[/tex]

To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:

-5 = a(1 - (-1))² + 3

-5 = a(2)² + 3

-5 = 4a + 3

-8 = 4a

a = -2

Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:

y = -2(x + 1)² + 3

Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

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Answer:

step 2

Step-by-step explanation:

he was not supposed to multiply by x

he was supposed to combine like terms

add -2x and 4x and add 6 and 5

Answer:

LCM= 154

Step-by-step explanation:

Answer:

The answer is -0.5 or -1/2

Step-by-step explanation:

You can flip the second fraction over and multiply the two fractions by each other. It would be like this: 2/3 x -3/4, and multiply and you get -6/12 which can be further reduced to -1/2.

Hope this helped! Remember to use the formula Skip, Flip, Multiply in which you skip the first fraction, flip the division sign to multiply and flip the second fraction over!

Answer:

(x−7,y+5)

A p e x n dat

Answer:its 200

Step-by-step explanation:

Answer:

Its 200, that's a funny question though!

Step-by-step explanation:

Have a good day!

Answer:

1) The expected value of the "winnings" is $(-0.97[tex]\overline 2[/tex])

2) The variance for the "winnings" is $0.57966

3) The standard deviation for the "winnings" is$0.761354

4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]

Step-by-step explanation:

1) The probability of having a sum of 2 = 1/6×1/6 = 1/36

The probability of having a sum of 3 = 1/6×1/6 = 1/36

The probability of having a sum of 4 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 5 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 6 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 7 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 8 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 9 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 10 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 11 = 1/6×1/6  = 1/36

The probability of having a sum of 12 = 1/6×1/6  = 1/36

The values are;

For 2, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]

For 3, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]

For 4, we have 1/18 × (20 - 5) = 0.8[tex]\overline 3[/tex]

For 5, we have 1/18 ×  (10 - 5) = 0.2[tex]\overline 7[/tex]

For 6, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 7, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 8, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 9, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]

For 10, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]

For 11, we have 1/36 × (-20 - 5) = -0.69[tex]\overline 4[/tex]

For 12, we have 1/36 × (-25 - 5) = -0.69[tex]\overline 4[/tex]

The expected value of the winnings is given as follows;

0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + -1.3[tex]\overline 8[/tex] -1.3 - 0.69[tex]\overline 4[/tex] - 0.69[tex]\overline 4[/tex] = -0.97[tex]\overline 2[/tex]

Therefore, the expected value = $-0.97[tex]\overline 2[/tex], which is one is expected to lose $0.97[tex]\overline 2[/tex]

2) Using Microsoft Excel, we have;

The variance for the "winnings", σ² = $0.57966

3) The standard deviation for the "winnings" = √σ² = √(0.57966) ≈ $0.761354

4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]

Answer:

180

Step-by-step explanation:

The 12 th square number is

12² = 12 × 12 = 144

The 6 th square number is

6² = 6 × 6 = 36

Thus

sum = 144 + 36 = 180

Answer:

x<3

Step-by-step explanation:

4x -1 < 11

Add 1 to each side

4x -1+1 < 11+1

4x<12

Divide each side by 4

4x/4 <12/4

x<3

Answer:

[tex]f^{-1}[/tex](x) = x - 3

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = x + 3 (subtract 3 from both sides )

y - 3 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = x - 3

Step-by-step explanation:

*Assuming you meant polynomial function of degree 3*

The given zeros are 2, -1, and 3. To get the zeros in the first place, we have a deconstructed polynomial that looks like this:

(x-2)(x+1)(x-3)

Now, we can foil these out. **Quick note: if the degree of your polynomial is greater than 3, simply put a square root on one of the terms: (x-2)^2

After foiling you should get: x^3-4x^2+x+6

Answer:

f(-12) = -174

Step-by-step explanation:

f(x) = 14x − 6

f(-12) = 14(-12) - 6

f(-12) = -168 - 6

f(-12) = -174

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[tex]x = 15 \sqrt{2} [/tex]

[tex]y = 15 \sqrt{2} [/tex]

Answer:

x = y = 15[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] ( multiply both sides by 30 )

30 × sin45° = x , then

x = 30 × [tex]\frac{\sqrt{2} }{2}[/tex] = 15[tex]\sqrt{2}[/tex]

The triangle is a right isosceles triangle thus the legs are congruent, then

x = y = 15[tex]\sqrt{2}[/tex]

Answer:

yeet

Step-by-step explanation:

yeet yeet yeet yeet yeet yeet yeet yeet yeet eet yett yeet yeet yeet yeet yeet yeet yeet yeet yeety

Answer:

Step-by-step explanation:

16.) B. y = 3x + 2

17.) y = -2

(show in graph below) - -

                                        |

                                       V

Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: In the diagram above, ∠ a and ∠ d makes a pair of alternate exterior angles and ∠ b and ∠c makes another pair of alternate exterior angles.

Answer:

A: 24

Step-by-step explanation:

The length of Brown's pin is 6, while the width is 2. If Johnson has two more meter in length, that's 8, and 1 more than the the width, that's 3. 8 x 3 is 24.  

Answer:

-18x

Step-by-step explanation:

-8 -10 = -18