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3 years ago

Find the zeros of the function below. -7x=x^2+12

Mathematics

1 answer:

Paul [167]3 years ago

5 0

Answer:

Step-by-step explanation:

-7x = x² + 12

Set equation to zero:

x² + 7x + 12 = 0

Quadratic formula:

x = [-7±√(7²-4·1·12)]/[2·1]

= [-7±√1]/2

= -3,-4

The zeros are -3 and -4

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The goat population on a farm is decreasing at a rate of 7.25% each year. If there were 75 goats originally, how many goats will

Natasha2012 [34]

Answer:

Step-by-step explanation:

x/75=7.25/100

Cross Multiply

100x = 543.75

Simplify

x=5.4375

Multiply By The Number Of Years

5.4375 x 4 = 21.75

Subtract From The Original Number

75-21.75 = 53.25

<h2>Round it down (You cant have a quarter o a sheep. It would be dead)</h2><h2>53</h2>

3 0

3 years ago

1.Simplify 5 to the 5th over 5 to the 8th.

timurjin [86]

Q1. The answer is <span>1 over 5 to the 3rd power.

</span>5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is $\frac{ 5^{5} }{ 5^{8} }$
To simplify, we will use two rules:
$\frac{ x^{a}}{ x^{b} } = x^{a-b} \\ x^{-a} = \frac{1}{ x^{a}}$
Therefore:
$\frac{ 5^{5} }{ 5^{8} } = 5^{5-8} =5^{-3}= \frac{1}{5^{3}}$
$\frac{1}{5^{3}}$ is the same as 1 over 5 to the 3rd power.

Q2. The answer is <span>(53)−4.

The exponents are multiplied when are expressed in the form:
</span> $(x^{a}) ^{b}= x^{a*b}$
So, $(5^{3} )^{-4}=5^{3*(-4)}=5^{-12}$

Other choices are incorrect:
<span>one third to the 4th times one third to the 7th is </span> $( \frac{1}{3} )^{4} *( \frac{1}{3} )^{7}=( \frac{1}{3} )^{4+7}$
3 to the 7th over 3 to the 15th is $\frac{ 3^{7} }{3^{15}} =3^{7-15}$
<span>45 ⋅ 42 is </span> $4^{5}* 4^{2} = 4^{5+2}$

3 0

3 years ago

Read 2 more answers

Standard form <br> 0.000085

Tasya [4]

Answer -

i think its $8.5*10^{-5}$

6 0

3 years ago

Find an equation of the line passing through the pair of points (2,3) and (5,9). Write the equation in the form Ax + By = C.

8090 [49]

Answer:

- 2x + y = - 1 , so the B is correct.

Step-by-step explanation:

+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2

+ So the equation is y = 2x + b.

+ Then we replace x= 2 and y= 3 into y = 2x + b for finding like:

3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.

+ The equation of this line is y = 2x - 1 or in the form:

2x - y - 1 = 0 (or -2x + y = -1)

Have a good day!

7 0

4 years ago

Sat question: a circle in the xy-plane has a diameter with endpoints (-1,-3) and (7,3). if the point (0,b) lies on the circle an

labwork [276]

1) use the distance formula to find that the radius (r) of the circle = 5

2) use the midpoint formula to find that the center of the circle (h,k) = (3, 0)

3) Now use the formula of a circle and input the (h,k) and r to create:

(x - 3)² + (y - 0)² = 5² → (x - 3)² + y² = 25

4) input the "x" value given in the question (x = 0) and solve for "y":

(0 - 3)² + y² = 25 → 9 + y² = 25 → y² = 16 → y = +/- 4

Since the question states that "b" must be positive, you can disregard the -4.

Answer: b = 4

4 0

3 years ago

Read 2 more answers