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FinnZ [79.3K]
3 years ago
5

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

You might be interested in
Ruby and her friends are going into a restaurant. How much would it cost to buy 3
Gnoma [55]

Answer:

Step-by-step explanation:

3x2.25=6.75

4x4=16

16+6.75=22.75

8 0
3 years ago
The sum of two consecutive integers is 81. Determine the lesser of the two numbers.
SCORPION-xisa [38]

Given that,

the two numbers are consecutive

The two numbers are

x and x + 1

Sum of the numbers = 81

x + (x + 1) = 81

x + x + 1 = 81

2x = 81 - 1

2x = 80

x = 80/2

x = 40

Therefore, <em>the two numbers are</em> x = 40 and x + 1 = 41

5 0
3 years ago
the diameter of a piston for an automobile is 3 11/16in with tolerence of 1/64in. find the upper and lower limits of the pistons
padilas [110]

Upper Tolerance

Remark

The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.

Solution

<u>Upper Limit</u>

\dfrac{11}{16} +  \dfrac{1}{64}

Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4

\dfrac{11*4}{16*4} +  \dfrac{1}{64}

\dfrac{11*4}{16*4} +  \dfrac{1}{64} Which results in

\dfrac{44}{64} +  \dfrac{1}{64}

With a final result for the fractions of 45/64

So the upper tolerance = 3 45/64

<u>Lower Tolerance</u>

Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.

\dfrac{11}{16} - \dfrac{1}{64}

Your answer should be 3 and 43/64


4 0
3 years ago
Using the midpoint method, calculate the price elasticity of demand of Good Z using the following information: When the price of
exis [7]

Answer: (B) The price elasticity of demand for good Z = 0.86

Step-by-step explanation:

The formula for determining elasticity of demand by using the midpoint method is

(Q2 - Q1)/[(Q2 + Q1)/2] / (P2 - P1)/[(P2 + P1)/2]

Where

P1 is the initial price of the item.

P2 is the final price of the item.

Q1 is the initial quantity demanded for the item.

Q2 is the final quantity demanded for the item.

From the information given,

P1 = 10

P2 = 15

Q1 = 85

Q2 = 60

The price elasticity of demand for good Z = (60 - 85)/[(60 + 85)/2] / (15 - 10)/[(15 + 10)/2]

= (-25/72.5) / (5/12.5) = -25/72.5 × 12.5/5

= - 312.5/362.5 = - 0.86

6 0
3 years ago
How many times larger is 4 x 1016 than 5 x 108?
arlik [135]
So first you would need to multiply each numbers....
4 x 1016 = 4064
5 x 108 = 540
Then all you would have to do is subtract 4064 from 540.
Your answer is 3524. 
<span>4 x 1016 (4064) is 3,524 times larger than 5 x 108 (540).

PLEASE MARK AS BRAINLIEST!</span>
4 0
3 years ago
Read 2 more answers
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