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ladessa [460]
2 years ago
11

Write an exponential function in the form y=ab^x that goes through points (0, 17) and (2,153).

Mathematics
1 answer:
garik1379 [7]2 years ago
4 0

Answer:

y = 17*(3)ˣ

Step-by-step explanation:

y=abˣ

(0,17) : 17 = a*b⁰ = a

(2,153) : 153 = a*b² = 17*b²

b² = 153/17 = 9

b = ± 3  ... (0,17) and (2,153) in first quadrant   b = 3

function: y = 17*(3)ˣ

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An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change.
Nitella [24]

The cost per unit of the auto shop function is the slope of the function

87 represents the slope and the cost per tire purchased

The function is given as:

\mathbf{C(t) = 87t + 32}

A linear function is represented as:

\mathbf{C(t) = mt + b}

Where:

m represents the slope or the unit rate.

So, by comparison:

\mathbf{m = 87}

This means that 87 represents the slope and the cost per tire purchased

Read more about slopes at:

brainly.com/question/18576224

6 0
2 years ago
News article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports c
OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

p=X/n=258/311=0.83

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

p=X/n=294/363=0.81

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0

4) The pooled estimate of a proportion is the average of both proportions:

\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82

5) The standard error can be calculated as:

s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03

6) The z-statistic can be calculated as:

z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

2P(Z>|z|)=0.50286

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

There is not enough evidence to say that both proportions are different.

A. Do not reject H0

8 0
3 years ago
Seven times a number is the same as 12 more than 3 times the number
Brums [2.3K]

Answer:

x=3

Step-by-step explanation:

7x=12+3x

4x=12

x=3

5 0
2 years ago
20). Tasha is planning an expansion of a square flower garden in a city park. If each side of the original is increased by 7m, t
Vikki [24]
144=(x+7)^2  take the square root of both sides...

12=x+7  subtract 7 from both sides...

x=5

So the original was a 5m square.

...

255=WL and you are told that W=L+2 so the equation becomes:

255=(L+2)L

255=L^2+2L

L^2+2L-255=0

L^2+17L-15L-255=0

L(L+17)-15(L+17)=0

(L-15)(L+17)=0  Since L>0...

L=15yd, and since W=L+2, W=17yd so

length=15, width=17yd
8 0
3 years ago
Can anyone please answer question 1 please it’s for my homework!! Xx
astraxan [27]
1/4 of her original money is 1.25 + 1.60 = 2.85

She started with 2.85 * 4 = 11.40 pounds.
6 0
3 years ago
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