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Anton [14]
2 years ago
6

Given f(x) and g(x) f(x) + k, use the graph to determine the value of k.

Mathematics
1 answer:
WARRIOR [948]2 years ago
7 0

Answer:

k =4

k is the amplitude of f(x)

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Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.
german

Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

time= \frac{k}{rate}

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

2.5= \frac{k}{4} so k = 10

3.75= \frac{k}{6} so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

2= \frac{k}{3} so k = 6

3= \frac{k}{4.5} so k = 13.5

K values are not same

(c) 4 mph for 2.5 hours and 5 mph for 2 hours

2.5= \frac{k}{4} so k = 10

2= \frac{k}{5} so k =10

K values are  same .

Answer is option C


3 0
3 years ago
A linear function has an x-intercept of 12 and a slope of 3/8. How does this
Alekssandra [29.7K]

Answer:

O It has the same slope and a different y-intercept.

Step-by-step explanation:

y = mx + b

m = 3/8

b = 12

y = (3/8)x + 12

---

Data in the table:  slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).

 Change in x and y between two points.  I'll choose (-2/3,-3/4) and (1/3,-3/8).

Change in y:  (-3/8 - (-3/4)) = (-3/8 - (-6/8))  =  3/8

Change in x:  (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1

Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8

The slope of the equation is the same as the data in the table.

Now let's determine if the y-intercept is also the same (12).  The equation for the data table is y = (2/3)x + b, and we want to find b.  Enter any of the data points for x and y and then solve for b.  I'll use (-2/3, -3/4)

y = (3/8)x + b

Use (-2/3, -3/4)

-3/4 =- (3/8)(-2/3) + b

-3/4 = (-6/24) + b

b = -(3/4) + (6/24)

b = -(9/12) + (3/12)

b = -(6/12)

b = -(1/2)

The equation of the line formed by the data table is y = (3/8)x -(1/2)

Therefore, It has the same slope and a different y-intercept.

5 0
2 years ago
A survey finds that 55 people out of 170 favor increasing property taxes to help pay for a new library. If this data is used to
Aloiza [94]

Answer: B. 0.036

Step-by-step explanation:

Formula for standard error :

SE=\sqrt{\dfrac{p(1-p)}{n}}

, where p = Population proportion and n= sample size.

Let p be the population proportion of the people who favor new taxes.

As per given , we have

n= 170

p=\dfrac{55}{170}\approx0.324

Substitute these values in the formula, we get

SE=\sqrt{\dfrac{0.324(1-0.324)}{170}}\\\\=\sqrt{0.00129}\\\\=0.0359165699921\approx0.036

Hence, the standard error of the estimate is 0.036.

∴ The correct answer is OPTION B. 0.036

8 0
3 years ago
Whats the slope of the coordinates (-3, 1 ) and (2, -2)?
Varvara68 [4.7K]
The slope of these coordinates is - 3/5
4 0
3 years ago
Read 2 more answers
. Suppose that at UVA, 76% of all undergraduates are in the College, 10% are in Engineering, 7% are in Commerce, 3% are in Nursi
xxMikexx [17]

Answer: 34.2%

Step-by-step explanation:

76% of undergrads in The College

45% of those are male (since 55% female)

.76 x .45 = 34.2% of all undergrads are males in The College

4 0
3 years ago
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