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Blizzard [7]
3 years ago
11

What is (4x+3)(x-7)=90

Mathematics
2 answers:
gregori [183]3 years ago
8 0
(4x+3)(x-7)=90\\
Distribute\\
4x^{2}-28x+3x-21=90\\
4x^{2}-25x-21=90\\
4x^{2}-25x-101=0\\
\\
101\ is\ a\ prime\ number,\ so\ use\ the\ quadratic\ equation.\\
x= \frac{-b+-\sqrt{b^{2}-4ac}}{2a} \\
 \frac{-(-25)+-\sqrt{(-25)^{2}-4*4*(-101)}}{2*4} \\
 \frac{25+-\sqrt{625+1616}}{8} \\
x= \frac{25+-\sqrt{2241}}{8} \\
So\ x= \frac{25+\sqrt{2241}}{8}\ and x= \frac{25-\sqrt{2241}}{8} \\
These\ come\ out\ to\ be\ x=9.0424... \ and\ x=-2.7924...
Ivan3 years ago
6 0
It would be 16 i say
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A rectangular exercise mat has a perimeter of 36 feet . The length mat is twice the width. Write and solve an equation to determ
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ANSWER

72 square feet

EXPLANATION

The perimeter of a rectangle is given by:

P= 2l+2w

It was given that, the perimeter of the rectangular mat, is 36 feet.

36= 2l+2w

Divide through by 2.

18 = l + w...(1)

It was given also that, the length of the mat is twice its width.

This implies that,

l = 2w ...(2)

Put equation (2) into equation (1) to get,

18 = 2w + w

18 = 3w

w = 6 \: ft

This means that the length is 12 ft.

The area of the rectangular mat is

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4 0
3 years ago
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Liono4ka [1.6K]
The answer is 0.40 or 0.4
5 0
3 years ago
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The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou
Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as\sigma^2 = mean = 6.2

hence, standard deviation is given as \sqrt{6.2} = 2.48998

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is

P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)

                 = \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}

                 = 0.002029 + 0.012582+ 0.039006

                 = 0.053617

                = 0.0536

7 0
2 years ago
Brainlist if right no lnks
zloy xaker [14]

Answer:∠1 and ∠5

Step-by-step explanation:

(A) ∠3 and ∠6  forms the interior angles on the same side of the transversal. Thus, this option is incorrect.

(B) ∠1 and ∠4 forms the linear pair on the straight line a, thus this option is incorrect.

(C) ∠1 and ∠5 forms the corresponding angle pair, thus this option is correct.

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2 years ago
Explain why if a runner completes a 6.2â-mi race in 32 âmin, then he must have been running at exactly 11 âmi/hr at least twice
MA_775_DIABLO [31]

Answer:

Accelerating to top speed, deaccelerating to finish line.

Step-by-step explanation:

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3 years ago
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