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3 years ago

(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

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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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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.

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makkiz [27]

Answer:

1/2

Step-by-step explanation:

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4 years ago

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