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3 years ago

The inequality for the graph and please answer quickly

Mathematics

1 answer:

Marizza181 [45]3 years ago

3 0

Answer:

x ≥ 1

Step-by-step explanation:

The circle is over 1
The circle is closed (filled in), which means it will be either ≤ or ≥.
The arrow is pointing right, so it's ≥.
The number can be represented by x
Put it together: x ≥ 1

I hope this helps!

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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

<u><em>The complete question is</em></u>

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

Gabrielle is 10 years younger than Mikhail. The sum of their ages is 66. What is Mikhail's age?

inysia [295]

Answer:

Mikhail is 38 years old.

Step-by-step explanation:

I found that Gabrielle is 28 and Mikhail is 38.

28 + 38 = 66 38 - 28 = 10

If this answer is correct, please make me Brainliest!

7 0

3 years ago

Type the equation that shows the pattern among this set of ordered pairs.

Ludmilka [50]

Line y=mx+b has point (0,b).
If you've got poind (0,4) - you can write, that b=4.
So this is line y=mx+4
Now slope. You've got point (1,0), so for x=1, y=0. Substitute:
m * 1 + 4 = 0
m+4 = 0
m=-4
So equation of this line is: y=-4x+4

4 0

3 years ago

A rectangle with an area of 81 cm² has a length that is 3 times the width. How long is the width of the rectangle? Round to the

LenaWriter [7]

Answer:

W ≈ 5.2 cm

Step-by-step explanation:

Represent the length and width by L and W respectively.

Then L * W = 81 cm^2, and L = 3W.

Substituting 3W for L in the first equation, we get:

3W * W - 81 = 0, or 3W^2 - 81 = 0.

To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as

W^2 = ------- = 27

Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm

3 0

2 years ago

Read 2 more answers

help me its easy Triangle DOG is an isosceles triangle with DO = OG, and mD = 18. What is mO? A. 18 B. 36 C. 144 D. 162

S_A_V [24]

Angle D and angle G are the base angles, which means they are equal. If D = 18, then G = 18. Since the sum of the angles of a triangle equals 180 degrees, subtract 18 + 18 from 180 to get angle O.
180 - 36 = 144
Angle O = 144

Hope this helps =)

4 0

3 years ago