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Tatiana [17]
3 years ago
13

(a+4)² - 3² Factored out

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer:

a =  - 7

a =  - 1

Step-by-step explanation:

(a+4) {}^{2}  - 3 {}^{2}  \\ a {}^{2}  + 8a + 16 - 9 \\ a {}^{2}  + 8a + 7 \\ a {}^{2}  + a + 7a + 7 \\ a(a + 1) + 7(a + 1) \\ (a + 7)(a + 1) \\ a + 7 = 0 \:  \:  \:  \: or \:  \:  \:  \: a + 1 = 0 \\ a =  - 7 \:  \:  \:  \: \:  \:  \:  \:  or \:  \:  \: a =  - 1

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Someone please solve this. no where is an answer to this
serg [7]

Answer:

a=-8/5

Step-by-step explanation:

  (-1/2a-5)=3a+1

To find the opposite of  1/2 a−5, find the opposite of each term.

-1/2a-(-5)= -3a+1

The opposite of −5 is 5.

-1/2a+5=-3a+1

add 3a to both sides

-1/2a+5+3a=1

Combine-1/2and 3a to get 5/2a

5/2a+5=1

Subtract 5 from both side

5/2a=1-5

Subtract 5 from 1 to get −4.

5/2a=-4

Multiply both sides by 2/5 =0.4, the reciprocal of  5/2=2.5.

a=-4x(2/5)

express -4x(2/5)=1.6 as single  fraction.

a= -4x2/5

Multiply −4 and 2 to get −8.

a=-8/5

Fraction −8/5 ≈−1.6 can be rewritten as −8/5 =−1.6 by extracting the negative sign.

a=-8/5

8 0
3 years ago
Find the slope of the line between (-7, -2) and (9, 4)
Rzqust [24]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv
deff fn [24]

Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by x_{1} and and mixer by x_{2}.

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

Each blender produced nets the firm=  $7

Each mixer produced nets the firm=  $6

Using this all data linear system of equation will be:

x_{1} + 2x_{2} =24  ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\

profit function:

z= 7x_{1} +6x_{2} --- (3)

from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\

Coordinate points obtained from (1) are (0,12) and (24,0)

from (2)\\x_{1}=0 \implies x_{2}=10\\x_{2}=0 \implies x_{1}=15\\

Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z =  87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

4 0
3 years ago
If f(x) = -x + 5 and g(x) = x^2, what is (g° (-1)?
ipn [44]

Answer:

(g\circ f)(-1)=36

Step-by-step explanation:

We are given the two functions:

f(x)=-x+5\text{ and } g(x)=x^2

And we want to find:

(g\circ f)(-1)

This is equivalent to:

=g(f(-1))

So, evaluating f(-1) first, we acquire:

f(-1)=-(-1)+5=6

Then by substitution:

=g(6)

So:

=(6)^2=36

Therefore:

(g\circ f)(-1)=36

Your answer is indeed correct.

7 0
3 years ago
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Heather flipped a coin five times, and each time it came up heads. Heather flips the coin one more time. Which is the theoretica
makkiz [27]

Answer:

1/2

Step-by-step explanation:

4 0
4 years ago
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