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mars1129 [50]
3 years ago
15

Re-write the quadratic function below in Standard Form y = 2(x + 5)² + 3.​

Mathematics
1 answer:
zmey [24]3 years ago
7 0

Answer:

2x^{2} +20x+53

Step-by-step explanation:

2(x^2 + 10x + 25) + 3

2x^2 + 20x + 50 + 3

2x^2 + 20x + 53

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the first second and third bases on a baseball field are square cavas bags that each have an area of 225 square inches. what is
Andre45 [30]

Answer:

length = 15 in

Step-by-step explanation:

length = √225 = 15 in

5 0
3 years ago
-
adelina 88 [10]

Answer:

right 5 units

Step-by-step explanation:

given f(x) then f(x ± a) is a horizontal translation of f(x)

• if + a then a shift of a units left

• if - a then a shift of 5 units right

f(x) → g(x) = (x - 5)² with a = - 5

then f(x) is shifted 5 units right to obtain g(x)

6 0
2 years ago
Please Help. What is the Answer to this one.
Naddika [18.5K]

Step-by-step explanation:

it's answer is c 23

Step-by-step explanation:

Here

The lines are parallel so

3x + 28° + 2x + 37° = 180°<being co-interior angles>

5x + 65° = 180°

5x = 180° - 65°

5x = 115°

Therefore x = 23°

8 0
4 years ago
4x-12=24<br> how would this be solved
jekas [21]

Answer:

x = 9

Step-by-step explanation:

~~~~~~4x-12 = 24\\\\\implies 4(x-3) = 24\\\\\implies x -3 = \dfrac{24}4\\\\\implies x-3 = 6\\\\\implies x = 6+3\\\\\implies x = 9

7 0
2 years ago
A large car insurance company selected samples of single and married male policyholders and recorded the number who made an insu
nalin [4]

Answer:

The null hypothesis is rejected.

There is enough evidence to support the claim that rates are higher for single male policyholders verses married male policyholders (P-value = 0.004).

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that rates are higher for single male policyholders verses married male policyholders.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0

The significance level is 0.05.

The sample 1 (single group), of size n1=450 has a proportion of p1=0.1489.

p_1=X_1/n_1=67/450=0.1489

The sample 2 (married group), of size n2=925 has a proportion of p2=0.1005.

p_2=X_2/n_2=93/925=0.1005

The difference between proportions is (p1-p2)=0.0483.

p_d=p_1-p_2=0.1489-0.1005=0.0483

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{67.005+93}{450+925}=\dfrac{160}{1375}=0.1164

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.1164*0.8836}{450}+\dfrac{0.1164*0.8836}{925}}\\\\\\s_{p1-p2}=\sqrt{0.0002+0.0001}=\sqrt{0.0003}=0.0184

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0483-0}{0.0184}=\dfrac{0.0483}{0.0184}=2.62

This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=P(z>2.62)=0.004

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that rates are higher for single male policyholders verses married male policyholders.

6 0
4 years ago
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