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2 years ago

7

Clarence solved the equation 3x + 15 = 33 and showed the following work. 3x + 15 = 33 3x + 15 - 15 = 33 3x = 33 = x = 11 Which o

f the following is true? x is 11. x should be 6. x should be 16. x should be 99.

2 answers:

Ne4ueva [31]2 years ago

7 0

3x + 15 = 33
3x = 33 - 15
3x = 18
x = 18/3
x = 6 <==

STatiana [176]2 years ago

3 0

Answer:

x should be 6

Step-by-step explanation:

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4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

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1 year ago

Find the x and y intercept of each line y=7x + 5

Zina [86]

Answer:

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2 years ago

The distance from a point on the number line to zero is known as:

Nana76 [90]

b. absolute value

Hope this helps!

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2 years ago

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Name: 1. Label the axes. 2. Graph: A(-3, 0) B(-2, 4) C(1, -1) Draw AABC in blue. 3. Rotate AABC 90° clockwise to create AA'B'C'

nikklg [1K]

Answer:

its B because

Step-by-step explanation:

Simplifying

41n(7x) = 8

Remove parenthesis around (7x)

41n * 7x = 8

Reorder the terms for easier multiplication:

41 * 7n * x = 8

Multiply 41 * 7

287n * x = 8

Multiply n * x

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Solving

287nx = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '287x'.

n = 0.02787456446x-1

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1 year ago

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Arturiano [62]

Answer:

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