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4 years ago

What is a simpler form of the expression? -3(-4y+3)+7y please explain, i don’t understand it.

Mathematics

2 answers:

ANTONII [103]4 years ago

8 0

<h2>Answer:</h2>

Hey, it's really very easy to simplify .

I will write step by step.

<h3>Given:</h3>

= -3 (-4y + 3) +7y

<h3>Now, let's Distribute:</h3>

= (-3) (-4y) + (-3) (3) + 7y

= 12y + -9 + 7y

<h3>Now, Combine Like Terms:</h3>

= 12y + -9 + 7y

= (12y + 7y) + (-9)

<u>Therefore, 19y + -9 is the answer.</u>

Pavlova-9 [17]4 years ago

5 0

Answer:

19y - 9

Step-by-step explanation:

We can use the acronym PEMDAS. First, we need to calculate -3(-4y+3) by distributing. This is -3 * (-4y) + (-3) * 3 = 12y - 9 so the expression becomes 12y - 9 + 7y. Next, we need to combine like terms. 12y and +7y are like terms since they both have y so combining them gives us 12y + 7y = 19y. -9 stays by itself since there are no other constants so the final answer is 19y - 9.

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I need help with two algebra problems please!

postnew [5]

Fisrst one is just add the functions

(f+g)(x)=f(x)+g(x)=
8x^2+16x+6+x^3-3x^2-9=
(f+g)(x)=x^3+5x^2+16x-3

multiply
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f(x)g(x)=(x^3-4x+2)(x^2+2)
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8 0

3 years ago

The circle graph represents the number of teenagers at a high school who play video games. If 1,938 students go to the school, a

rewona [7]

Answer:

there are 1,679 students that don't play video games

Step-by-step explanation:

because 1938 - 259 =1,679

4 0

3 years ago

Three numbers whose sum is 57

DIA [1.3K]

50+5+2 or is there a certain type of number are you looking for?

3 0

4 years ago

The height of an object above the ground in feet can be modeled as a function of time, t, in seconds using the equation: h(t)= -

11111nata11111 [884]

Answer:

(a) t = 7 sec approximately; (b) t = 6 sec

Step-by-step explanation:

(a) Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:

16(t-3)^2 = 288

After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.

Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds

(b) Solve h(t)= -16(t-3)^2 + 288 = 150:

-16(t-3)^2 = - 162

or (t - 3)^2 = 10.125, or

t - 3 = ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)

7 0

4 years ago

Assume that the one-way commute time of an UoU student from his house to school is a normally distributed random variable which

Marizza181 [45]

Answer:

$n=(\frac{1.960(10)}{5})^2 =15.36 \approx 16$

So the answer for this case would be n=16 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=10$ represent the sample standard deviation

n represent the sample size

ME=5 represent the margin of error

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (3) we got:

$n=(\frac{1.960(10)}{5})^2 =15.36 \approx 16$

So the answer for this case would be n=16 rounded up to the nearest integer

3 0

3 years ago