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3 years ago

Which statement correctly compares the two functions?

Mathematics

1 answer:

Papessa [141]3 years ago

7 0

Answer: Choice A.

They have the same y-intercept and the same end behavior as x approaches infinity.

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Explanation:

The graph shows that the y intercept is (0,2) as this is the location where the green curve crosses the vertical y axis.

The table also shows that (0,2) is on the g(x) curve. So the two functions have the same y intercept.

They don't have the same x intercept however, since the green curve's x intercept is at (-2,0) while the table shows (-1,0).

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As x approaches infinity, the y values go to infinity as well for the green curve. In other words, the graph goes up forever as we move to the right.

The table represents the same idea just in numeric form, rather than visual curve form. As x gets larger, so does y.

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Solve.<br> 9x + 6y = -3<br> y = -8

klio [65]

Answer:

Step-by-step explanation:

9x+6y=-3

9x+6(-8)=-3

9x-48=-3

9x=45

x=5

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3 years ago

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11x-3=x-13 (solve for x)

omeli [17]

11x - 3 = x - 13
-x -x
10x - 3 = -13
+13 +13
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3 years ago

Alexis has $3.25 in nickels and dimes. The number of dimes is 5 less than twice the number of nickels. Find the number of nickel

jek_recluse [69]

Answer:

15 nickels were there with Alexis

Step-by-step explanation:

Let there be x nickels

given that

The number of dimes is 5 less than twice the number of nickels.

no of dimes in terms of x = 2*number of nickels - 5 = 2x - 5

we know that

value of 1 nickel = 5 cents

then

value of x nickel = 5*x cents = 5x cents

we know that

value of 1 dime = 10 cents

then

value of 2x-5 dime = 10(2x - 5) cents = 20x - 50 cents

Total value of x nickel and 2x -5 dimes = 5x + 20x - 50 = 25x - 50

given that

Alexia has total of $3.25 in nickel and dimes thus 25x - 50 must be equal to $3.25

$1 = 100 cents

$3.25 = 3.25 * 100 cents = 325 cents

Thus,

25x - 50 = 325

25x = 325 + 50 = 375

x = 375/25 = 15

Thus, no of nickels = x = 15 answer

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3 years ago

The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w

Marat540 [252]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 252$

The number that tested positive is $k_1 = 18$

The second sample size is $n_2 = 476$

The number that tested positive is $k_2 = 20$

The level of significance is $\alpha = 0.01$

Generally the first sample proportion is mathematically represented as

$\^ p _1 = \frac{k_1 }{ n_1 }$

=> $\^ p _1 = \frac{18 }{ 252 }$

=> $\^ p _1 = 0.071$

Generally the second sample proportion is mathematically represented as

$\^ p _2 = \frac{k_2 }{ n_2 }$

=> $\^ p _2 = \frac{20 }{ 476}$

=> $\^ p _2 = 0.042$

The null hypothesis is $H_o : p_1 - p_2 = 0$

The alternative hypothesis is $H_a : p_1 - p_2 \ne 0$

Generally the test statistics is mathematically represented

$z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }$

=> $z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }$

=> $z = 1.56$

From the z table the area under the normal curve to the right corresponding to 1.56 is

$P(Z > 1.56 ) =0.05938$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 1.56 )$

=> $p-value = 2 * 0.05938$

=> $p-value = 0.1188$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

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3 years ago

Apple juice and cranberry juice have been mixed in the ratio 4:5. If the price of apple juice is 45 cents per pint and the price

Lunna [17]

Answer:

0.24

Step-by-step explanation:

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3 years ago