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alukav5142 [94]
2 years ago
7

Jen thought of a rule, and made an in-out table for it. On the coordinate plane, Jen recorded her rule as points, but then she a

ccidentally erased her in-out table almost completely (see below what remains of that table).

Mathematics
1 answer:
Kryger [21]2 years ago
8 0

Answer:

y = (1/2)x + 3

Step-by-step explanation:

The points are separated by 1 vertical unit for each 2 horizontal units, so the slope of the line through them is ...

slope = vertical change / horizontal change = 1/2

There is a point on the y-axis at y=3 where x=0, so we know the y-intercept of the line is 3. Then, in slope-intercept form, the equation of the line can be written ...

y = slope · x + y-intercept

y = (1/2)x + 3

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What are the roots of the quadratic function f(b)=b^2-75
Ivahew [28]
Set f(b) = b^2 - 75 = to 0 and solve for b:

b^2 = 75
b^2 = 25(3)
b = plus or minus sqrt(25[3]) = plus or minus sqrt(25)*sqrt(3) = plus or minus 5 sqrt(3).
5 0
2 years ago
How many cups of sorbet are used in 8 cups of punch?
tekilochka [14]
Given that 8 cups equals 100% of this punch, we need to figure out how many coups does 15% of sorbet make. This is how we do this:
8 (cups) : 100% (the entire amount of punch) = x (the number of sorbet cups) : 15% (the amount of sorbet used)
So:
x : 15 = 8 : 100
100x = 15 * 8
100x = 120
x = 1.2
The answer is 1.2 cups of sorbet were used in this punch. 
4 0
2 years ago
The number 31 is increased to 44. What is the percentage by which the number was increased, to the nearest tenth of a percent?
Sophie [7]

Answer:

41.9 %

Step-by-step explanation:

when you look at the to numbers you will see that the two has a 41.9 % difference.

3 0
2 years ago
Which of the following tables shows the correct steps to transform x2 + 8x + 15 = 0 into the form (x − p)2 = q? [p and q are int
Andre45 [30]

The correct steps are:

start with

x^2+8x+15=0

Add 1 to both sides:

x^2+8x+16=1

The left hand side is a perfect square:

(x+4)^2=1

6 0
2 years ago
Read 2 more answers
Automobile mechanics conduct diagnostic tests on 150 new cars of a particular make and model to determine the extent to which th
Aleks04 [339]

Answer:

99% Confidence interval: (0.185,0.375)                                                  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 150

Number of cars that have faulty catalytic converters, x = 42

\hat{p} = \dfrac{x}{n} = \dfrac{42}{150} = 0.28

99% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58

Putting the values, we get:

0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)

The​ 99% confidence interval for the true proportion of new cars with faulty catalytic converters is​ (0.185,0.375)

8 0
2 years ago
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