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3 years ago

Find rhe equation of the graphed line.

Mathematics

1 answer:

Dimas [21]3 years ago

3 0

Answer:

c. y = x - 6

Step-by-step explanation:

This question wants you to find the equation in slope-intercept form, each is y=mx+b, where m is the slope and b is the y-intercept. The first thing to do is find the y-intercept, to do this find the value of y when x equals zero. The way to do this is to look the value of y on the y-axis. In this case, the y-intercept is -6. Then, find the slope; since you are given the graph you can count out the slope. To do this find out how much the y and x values change. On this graph, y increases 1 when x increases 1, so the slope is 1/1 or one 1. So the equation is y=1x-6, which simplifies to y=x-6.

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A low calorie dinner has 480 calories in an 9 ounce serving. What is the unit rate in simplest form? 9/48 160/3 48/9 3/160

LenaWriter [7]

Answer:Hi, the correct answer is $\frac{160}{3}$ .

Step-by-step explanation:

As you are being asked for rate and the importat value is the number of calories consumed. We need to simplify the fraction $\frac{480 calories}{9 ounce}$ . Then we simplify.

Note that 480 is divisible by 3 and 9 as well. 480/3 = 160 and 9/3 = 3. Therefore, 480/9 = 160/3.

8 0

3 years ago

Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts

Evgesh-ka [11]

Amount of walnuts= $\frac{3}{4} kg$

Amount of almonds= $\frac{1}{2} kg$

Amount of pecans= $\frac{1}{4} kg$

Total amount= $\frac{3}{4}+\frac{1}{2}+\frac{1}{4}$

LCM is 4 so sum is = $\frac{3+2+1}{4}=\frac{6}{4}$ = $\frac{3}{2}$

As given, Carmela divides the mixed nuts into 3/10 kilogram bags so number of bags will be:

$\frac{\frac{3}{2}}{\frac{3}{10}}$

= $\frac{3}{2}\times\frac{10}{3}$ = 5

Hence, answer is 5 bags.

5 0

4 years ago

Write (n+4)(n+3)(n+2) as a permutation

kenny6666 [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

He unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0).

Advocard [28]

We know that

if the dilated circle passes through the point (4, 0)
so
the new radius is the distance from the origin to point (4,0)
d=√[(4-0)²+0²]-----> d=√16------> d=4 units

the new radius is 4 units
original radius is 1 units

[new radius]=[scale]*[original radius]
scale=new radius/original radius-----> scale=4/1-----> 4

the answer is
the scale factor of dilation is 4

5 0

4 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the ar

Studentka2010 [4]

Answer:

Alternative Hypothesis:H₁: μ ≠ 0.41

Step-by-step explanation:

Step(i):-

Given that the newscast reaches 41% of the viewing audience in the area

The mean of the Population = 0.41

Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station

Given that the mean of the sample = 0.36

Step(ii):-

Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.

Given data

Null hypothesis: H₀ : μ = 0.41

Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis

Alternative Hypothesis:H₁: μ ≠ 0.41

7 0

3 years ago