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4 years ago

NEED HELP ASAP!! Graph the solution on the number line. 3(x + 3) - 2 <4 or 1 - XS-1

Mathematics

1 answer:

slava [35]4 years ago

7 0

Here is the answer for the 1st one. I have a picture of the second one but I’m not sure if I can post the picture of it

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confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin

yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

The complete question is

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

A(60,900),B(15,450)

Remember that

$m_A_B=m_B_A$

step 1

Find $m_A_B$

substitute in the formula

$m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10$

step 2

Find $m_B_A$

substitute in the formula

$m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10$

therefore

Ernest's calculation was correct, because $m_A_B=m_B_A$

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

$m=\frac{800-300}{50-0}$

$m=\frac{500}{50}$

$m=10$

therefore

Ernest's calculation was correct

8 0

3 years ago

If f(x) = x2, which of the following describes the graph of f(x - 1)?

Mrrafil [7]

The graph of f(x - 1) is a horizontal shift of f(x) = x^2 one unit to the right.

7 0

3 years ago

Read 2 more answers

Please help me simplify the expression and please show work!!! <3

gizmo_the_mogwai [7]

Step-by-step explanation:

$\frac{x + 4}{3 {x}^{2} - 12x - 96} = \frac{x + 4}{3( {x}^{2} - 4x - 32) } = \frac{x + 4}{3(x - 8)(x + 4)}$

$= \frac{1}{3(x - 8)} = \frac{1}{3x - 24}$

8 0

3 years ago

Which is a zero of the quadratic function f(x) = 16x?? + 32x - 9?

STALIN [3.7K]

Answer:

f(x) = 16x2 + 32x - 9

To find the "zeros", set f(x) = 0:

0 = 16x2 + 32x - 9

The equation is solvable by factoring or by using the quadratic formula. The factors (use the "ac" method) are:

0 = (4x-1)(4x+9)

x = 1/4 = 0.25 and x = -9/4 = -2.25

Step-by-step explanation:

6 0

3 years ago

Pls Help Me Pls show your work pls and thank you

Rashid [163]

Answer:

DWest I think

Step-by-step explanation:

Someone else asked this and this is what they think and it seems right

6 0

2 years ago