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3 years ago

Solve this equation -4(y-2)=12

Mathematics

2 answers:

love history [14]3 years ago

7 0

Answer: y= -1

Step-by-step explanation:

MakcuM [25]3 years ago

4 0

Answer: y= -1

Step-by-step explanation: multiply -4 with y and -2, you get -4y and 8 =12

Subtract 8 on both sides

-4y=4

Divide 4 both sides

y=-1

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LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=6x+9and MP=9x−6

Alexus [3.1K]

Answer:

see explanation

Step-by-step explanation:

The diagonals of a rectangle are congruent, thus

MP = LN , substitute values

9x - 6 = 6x + 9 ( subtract 6x from both sides )

3x - 6 = 9 ( add 6 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Thus

MP = 9(5) - 6 = 45 - 6 = 39 and LN = 6(5) + 9 = 30 + 9 = 39

6 0

4 years ago

What's a verbal expression

Nastasia [14]

A mathematical statement that is expressed in words

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2 years ago

Factor x3 + 2x2 + x completely. a. (x+1)^2 b. x(x+1)^2 c. x(x+1)^2

enot [183]

Option B

ANSWER:

The factors of $x^{3}+2 x^{2}+x$ is $x(x+1)^{2}$

SOLUTION:

Given, cubic expression is $x^{3}+2 x^{2}+x$

Now, we have to find the factors of above equation.

To factorize the given equation, follow the below steps:

$\mathrm{x}^{3}+2 \mathrm{x}^{2}+\mathrm{x}$

Since x is common in every term of expression, we can take it as common

$x\left(x^{2}+2 x+1\right)$

“2x” can be rewritten as “x + x”, the above equation becomes,

$x\left(x^{2}+x+x+1\right)$

Taking the common terms out of bracket. we get

x(x (x + 1) + 1 (x + 1))

Taking (x + 1) as common., we get

x ((x + 1)(x + 1))

$x(x+1)^{2}$

Hence, the second option b is correct.

7 0

4 years ago

Help! I will give brainilest to correct answer UwU

sattari [20]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Here's the solution :

$1 \dfrac{1}{2}$

$\dfrac{3}{2}$

$1.5$

therefore , correct choice is B

7 0

3 years ago

Read 2 more answers

Bastien, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon of gasoline in highway driving. Th

alexira [117]

Answer:

We conclude that the the manufacturer's advertising campaign is not correct.

P-value of test = 0.067.

Step-by-step explanation:

We are given that an independent testing service road-tested 36 of the automobiles. The sample showed an average of 51.5 miles per gallon. The population standard deviation is 6 miles per gallon.

We have to conduct a test to determine whether or not the manufacturer's advertising campaign is legitimate.

Let $\mu$ = population average gasoline of new small cars in highway driving.

SO, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 50 miles per gallon {means that the manufacturer's advertising campaign is not correct}

Alternate Hypothesis, $H_A$ : $\mu$ > 50 miles per gallon {means that the manufacturer's advertising campaign is correct}

The test statistics that will be used here is One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average gasoline = 51.5 miles per gallon

$\sigma$ = population standard deviation = 6 miles per gallon

n = sample of automobiles = 36

So, test statistics = $\frac{51.5-50}{\frac{6}{\sqrt{36} } }$

= 1.50

Now at 0.05 significance level, the z table gives critical value of 1.6449 for right-tailed test. Since our test statistics is less than the critical values of z as 1.50 < 1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Also, P-value is given by the following formula;

P-value = P(Z > 1.50) = 1 - P(Z $\leq$ 1.50)

= 1 - 0.93319 = 0.067 or 6.7%

Therefore, we conclude that the the manufacturer's advertising campaign is not correct as its new small cars average less than or equal to 50 miles per gallon in highway driving.

3 0

4 years ago