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Vedmedyk [2.9K]
3 years ago
5

If a graph of y = -6x + 5 were changed to a graph of y = -4x + 5, how would the

Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

Step-by-step explanation:

in y = mx + b form, the slope is in the m position

y = -6x + 5......slope here is -6

y = -4x + 5....slope here is -4

so the slope changed from -6 to -4

** the slope with the highest absolute value is steepest.....lol...is steepest even a word

so the slope of the new graph would become less steep <==

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Estimate the solution of the system of equations. Write the answer as an ordered pair.
Lapatulllka [165]
When you graph a system of equations, the solution is always at the point at which the two lines intersect. So you have to find that point and then find which number it is on the x-axis and y-axis. Then you should write it in this form (X,Y)
So the lines basically cross at (1,2.5)

I’m not really sure if this is the correct answer but I hope it helps!!

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6 0
3 years ago
Financial planners recommend that families save about 5% of their take-home pay. Ed and Sherrie save $90 each pay period from th
Ratling [72]

Answer:

Ed and Sheerie save 7.5%.

Step-by-step explanation:

This question can be solved using a rule of three.

Ed and Sherrie save $90 each pay period from their combined paychecks, which total $1200. What percent do Ed and Sherrie save?

How much of $1200 is $90? $1200 is 100% = 1, $90 = x. So

$1200 - 1

$90 - x

1200x = 90

x = \frac{90}{1200}

x = 0.075

Ed and Sheerie save 7.5%.

7 0
3 years ago
What percentage of babies born in the United States are classified as having a low birthweight (&lt;2500g)? explain how you got
lawyer [7]

Answer:

2.28% of babies born in the United States having a low birth weight.

Step-by-step explanation:

<u>The complete question is</u>: In the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g. What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

We are given that in the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g.

Let X = <u><em>birth weights of newborn babies</em></u>

The z-score probability distribution for the normal distribution is given by;

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 3,500 g

            \sigma = standard deviation = 500 g

So, X ~ N(\mu=3500, \sigma^{2} = 500)

Now, the percent of babies born in the United States having a low birth weight is given by = P(X < 2500 mg)

         

   P(X < 2500 mg) = P( \frac{X-\mu}{\sigma} < \frac{2500-3500}{500} ) = P(Z < -2) = 1 - P(Z \leq 2)

                                                                 = 1 - 0.97725 = 0.02275 or 2.28%

The above probability is calculated by looking at the value of x = 2 in the z table which has an area of 0.97725.

4 0
3 years ago
Hi can someone help me with the last two sets of shapes? Thank you so much! -Jenn
SOVA2 [1]
You are correct there's at least one obtuse angle
8 0
3 years ago
Please help!!!!!WILL MARK BRAINLIEST.<br>what is the lateral area of the cone​?
Ratling [72]

Answer:

Therefore Lateral Area of Cone is 189.97 yd².

Step-by-step explanation:

Given:

Slant height = 12.1 yd

Diameter = 10 yd

∴ Radius = half of Diameter = 10 ÷ 2 = 5 yd

To Find:

Lateral Area of Cone = ?

Solution:

We know that,

\textrm{Lateral Area of Cone} = \pi\times Radius\times \textrm{Slant height}

Substituting the given values we get

\textrm{Lateral Area of Cone}=3.14\times 5\times 12.1\\\\\textrm{Lateral Area of Cone}=189.97\ yd^{2}

Therefore Lateral Area of Cone is 189.97 yd².

4 0
3 years ago
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