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3 years ago

Math need help pls! will give points/brainly

Mathematics

1 answer:

earnstyle [38]3 years ago

5 0

2. 4(x+3) =3x+17

distribute

4x+12 = 3x+17

subtract 3x from each side

x + 12 = 17

subtract 12 from each side

x =5

6. -10 +5x=5(x-3)+5

distribute

-10+5x = 5x-15+5

combine like terms

-10+5x =5x -10

subtract 5x from each side

-10 = -10

infinite solutions

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Which value of x makes the inequality 2(8 – x) < 4 true? A. x = –16 B. x = –9 C. x = 4 D. x = 10

myrzilka [38]

Answer:

Step-by-step explanation:

If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B

lets try plugging in 4 as x to test answer C:

2(8-4)

2(4)= 8

8 is greater than 4, therefore C is wrong.

Lets try 10 as X (answer D):

2(8-10)

2(-2)

-4

We know that -4 is less than 4, therefore it makes the inequality true! :)

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2 years ago

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In a national survey of 1987 adults, 1570 responded that lack of respect and courtesy in American society is a serious problem,

Alik [6]

<h2>Answer with explanation:</h2>

As per given , we have

$H_0: p\leq\dfrac{3}{4}\\\\H_a: p>\dfrac{3}{4}$

Since , alternative hypothesis is right tailed, so the test is a right tailed test.

n= 1987

Proportion of adults believe that rudeness is a worsening problem : $p=\dfrac{1257}{1987}\approx 0.6326$

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$z=\dfrac{ 0.6326-0.75}{\sqrt{\dfrac{0.75(1-0.75)}{1987}}}=-12.09$

(since , the normal curve takes values of z from -7 to 7, so we use critical value to draw conclusion.)

The critical value for a significance level of 0.005= 1.645

Since , absolute test statistic value (12.09) is greater than the critical value (1.645), it means there is statistical significance and so we reject the null hypothesis.

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3 years ago

Consider the following planes. 3x − 2y + z = 1, 2x + y − 3z = 3

prisoha [69]

Solve for any of the variables; for instance, $z$ :

$z=1-3x+2y$

$z=-\dfrac{3-2x-y}3$

Then

$1-3x+2y=-\dfrac{3-2x-y}3\implies11x-5y=6\implies\begin{cases}y=\frac{11x-6}5\\z=1-3x+\frac{22x-12}5\end{cases}$

Let $x=t$ ; then the intersection is given by the vector-valued function

$\vec r(t)=\left(t,\dfrac{11t-6}5,1-3t+\dfrac{22t-12}5\right)$

$\vec r(t)=\left(t,\dfrac{11t-6}5,\dfrac{7t-7}5\right)$

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2 years ago

Can someone please solve this ASAP?

olga2289 [7]

The ladder and the wall form a right triangle.
The length is the hypotenuse = 15.
The base = 2*(15/5) = 2*3 = 6

Use pythagorean theorem to find other side of triangle:
$a^2 + b^2 = c^2 \\ \\ a^2 + 6^2 = 15^2 \\ \\ a^2 + 36 = 225 \\ \\ a^2 = 189 \\ \\ a = \sqrt{189} = 3 \sqrt{21}$

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2 years ago

Prove that 3(x+1)(x+7)-(2x+5)² is never positive

scZoUnD [109]

Step-by-step explanation:

3(x + 1)(x + 7) − (2x + 5)²

3(x² + 8x + 7) − (4x² + 20x + 25)

3x² + 24x + 21 − 4x² − 20x − 25

-x² + 4x − 4

-(x² − 4x + 4)

-(x − 2)²

A squared number is never negative (provided x is a real number), so -(x − 2)² is never positive.

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2 years ago

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