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3 years ago

What are the solutions of the quadratic equation p^2+3p-28=40

Mathematics

2 answers:

vivado [14]3 years ago

3 0

Answer:

the answer is =-3± $\sqrt{281}$ /2

Step-by-step explanation:

fgiga [73]3 years ago

3 0

Answer:

$\bold{p_1\approx6.88\ ,\qquad p_2\approx-9.88}$

Step-by-step explanation:

$p^2+3p-28=40\\\\p^2+3p-68=0\\\\a=1\,,\ b=3\,,\ c=-68\\\\\\p=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-68)}}{2\cdot1}=\dfrac{-3\pm\sqrt{281}}{2}\\\\p_1\approx6.88\ ,\qquad p_2\approx-9.88$

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attashe74 [19]

Answer:

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3 0

3 years ago

Write each equation in standard form. identify A,B,C.

aleksley [76]

Write in y=ax²+bx+c form
solve for y

given
$\frac{x+5}{3}=-2y+4$
solve for y

easy
minus 4 both sides
$\frac{x+5}{3}-4=-2y$
times -1/2 to both sides
$\frac{x+5}{-6}+2=y$
$y=\frac{x+5}{-6}+2$
$y=\frac{-x}{6}-\frac{6}{5}+2$
2=10/5
$y=\frac{-1}{6}x-\frac{6}{5}+\frac{10}{5}$
$y=\frac{-1}{6}x+\frac{4}{5}$
y=ax²+bx+c
$y=0x^2+\frac{-1}{6}x+\frac{4}{5}$

a=0
b= $\frac{-1}{6}$
c= $\frac{4}{5}$

3 0

3 years ago

Evaluate the expression, if possible: √ 64

astraxan [27]

The square root of a number is the smallest (positive) number possible that when multiplied by it self equals the number in the square root.

The square root of 64 is 8 ( 8 x 8 = 64).

The answer is B.

7 0

4 years ago

Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose tha

san4es73 [151]

Answer:

0.2364

Step-by-step explanation:

We will take

Lyme = L

HGE = H

P(L) = 16% = 0.16

P(H) = 10% = 0.10

P(L ∩ H) = 0.10 x p(L U H)

Using the addition theorem

P(L U H) = p(L) + P(H) - P(L ∩ H)

P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)

P(L U H) = 0.26 - 0.10p(L u H)

We collect like terms

P(L U H) + 0.10P(L U H) = 0.26

This can be rewritten as:

P(L U H)[1 +0.1] = 0.26

Then we have,

1.1p(L U H) = 0.26

We divide through by 1.1

P(L U H) = 0.26/1.1

= 0.2364

Therefore

P(L ∩ H) = 0.10 x 0.2364

The probability of tick also carrying lyme disease

P(L|H) = p(L ∩ H)/P(H)

= 0.1x0.2364/0.1

= 0.2364

3 0

3 years ago

B) Matumba's can shoot 60% from the free throw line. If he shot 30 times, how many free

Pani-rosa [81]

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3 years ago