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4 years ago

Which of these is the algebraic expression for "4 times the sum of 2 and y?" (1 point) 4 ⋅ 2 + y 4(2 + y) 2 + 4 ⋅ y 2(4 + y)

Mathematics

2 answers:

Tom [10]4 years ago

5 0

The correct choice is the second one which is 4(2 + y)

svetlana [45]4 years ago

5 0

Answer:

4(2 + y)

Step-by-step explanation:

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(7a – 6) + 3.- 8a – (-2a +5).

mixer [17]

Answer:

a - 8

Explanation:

7a−6+3−8a−(−2a+5)

Distribute the Negative Sign:

=7a−6+3−8a+−1(−2a+5)

=7a+−6+3+−8a+−1(−2a)+(−1)(5)

=7a+−6+3+−8a+2a+−5

Combine Like Terms:

=7a+−6+3+−8a+2a+−5

=(7a+−8a+2a)+(−6+3+−5)

=a + −8

Answer:

= a − 8

7 0

3 years ago

What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squa

n200080 [17]

The completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

$p^4 - 16$

Let the factor form of the polynomial is f(p). Thus,

$f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2$

Using the formula of difference of squares, we get,

$f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)$

Thus, the completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Learn more about polynomial here;

brainly.com/question/24380382

3 0

2 years ago

Make x the subject of the formula: T = 2x + 2y

Nuetrik [128]

Answer:

x=(T-2y)/2

Step-by-step explanation:

7 0

3 years ago

In the spring of 2017, the Consumer Reports National Research Center conducted a survey of 1,007 adults to learn about their maj

musickatia [10]

Answer:

a) 0.567

b) (0.5414,0.5926)

c) (0.5364,0.5976)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1007

Number of respondent that they will be able to afford health insurance in the future, x = 571

a) point estimate of the population proportion

$\hat{p} = \displaystyle\frac{x}{n} = \frac{571}{1007} = 0.567$

b) 90% Confidence Interval.

$\hat{p} + z_{\text{critical}}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64$

Putting values, we get,

$0.567 \pm 1.64\times \sqrt{\dfrac{0.567(1-0.567)}{1007}}\\\\0.567 \pm 0.0256=(0.5414,0.5926)$

c) 95% Confidence Interval.

$\hat{p} + z_{\text{critical}}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

Putting values, we get,

$0.567 \pm 1.96\times \sqrt{\dfrac{0.567(1-0.567)}{1007}}\\\\0.567 \pm 0.0306=(0.5364,0.5976)$

5 0

4 years ago

Simplify the expression -2(6-5g)

boyakko [2]

Answer:

10g-12

Step-by-step explanation:

4 0

3 years ago