if f(x)=x/2-2 and g(x)=2x^2-2+x-3, find (f+g)(x)

Answer:

Step-by-step explanation:

Since we are given the value of y, we can replace it with 5x + 7.

We now have: 3x + 5x + 7 = -9

We can now simplify by adding 3x and 5x to get 8x.

8x + 7 = -9

We can subtract 7

8x = -16

And now, we divide by 8

x = -2

We can check to make sure we are correct

3(-2) + 5 (-2) + 7 = -9

-6 + -10 + 7 = -9

-9 = -9 ✅

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

When two parallel lines are intersected by a transversal, alternate external angles are created.

Given that, m∠A = m∠C = 90° and AB║DC.

In triangles ΔABD and ΔCDB,

m∠A = m∠C = 90°

m∠ABD = m∠BDC (Alternate interior angles)

BD = DB (Common side)

Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

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Answer:

Option D

Step-by-step explanation:

The answer is option D or "two yards." You can find the answer by knowing that a yard equals to three feet in length and because Andrew is six feet you can add three and three together giving you a total amount of two yards.

[tex]1y=3ft[/tex]

[tex]3+3=6[/tex]

[tex]1+1=2[/tex]

[tex]=2y[/tex]

Hope this helps.

Answer:

About 820 feet

8.21 exact

Step-by-step explanation:

Multiply length by 3.281

250m * 3.281 = 820.21ft

Answer:

a. 70 miles per hour

b. 840 miles

Step-by-step explanation:

280/4 = 70 miles per hour

70*12 = 840 miles

Answer:

a) 70 miles per hour

b)840 miles

Step-by-step explanation:

a) to find the speed, do distance/time

b) if you do 70 miles an hour, and you want to know 12 hours, just times 70x 12

Answer:

81

Step-by-step explanation:

I just added the 52 and 29 together.

The graph in the question is missing.

Answer:

y  = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]

Step-by-step explanation:

The function is cubic

It has roots as -4, -4 , 6

this means the value of x = -4, -4 , 6 which makes the entire equation zero

so we have solutions as

x+4 = 0

x+4 = 0

x- 6 = 0

on forming a cubic equation using these

(x+4)(x+4)(x-6)

the equation passes through (2,36)

put x = 2

(2+4)(2+4)(2-6) = (6)*(6)*(-4)

which exceeds 36 so we product the equation with -1/4 to get 36

Final equation

y = [tex]\frac{-1}{4} (x+4)(x+4)(x-6)[/tex]

  y  = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]

Answer:

15-20%

Step-by-step explanation:

can u make me brainiest thanks

the cost of a donut is $2 and the equation that represents the given scenario will be:

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75.

Let " d" be the cost of a cup of coffee

and "c" be the cost of the donut

Since Each friend ordered a coffee and a donut

And there are 3 friends

Thus,

3(d + 2c) = 21.75

3d + 6c = 21.75

Also given,  a cup of coffee costs $3.25

d = 3.25

Substituting the values in equation 1

9. 75 + 6c = 21.75

6c = 12

c = 2

therefore, the cost of a donut is $2.

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Answer:

Step-by-step explanation:

Step one:

given

let the original price of the be x

discount = 30%

30 of x is $60

Step two:

Mathematically

30/100*x=60

0.3x=60

divide both sides by 0.3

x=60/0.3

x=200

Hence the original price of the dress is $200

Answer:

its a -20%changeor a general 20%change

Answer:

8099

Step-by-step explanation:

Answer:

im about to solvee

Step-by-step explanation:

Answer:

Step-by-step explanation:

4a(3a-5+4a^2)

Answer:

[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]

Step-by-step explanation:

Given

as

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

so

[tex]a^2=6[/tex]

[tex]a=\sqrt{b},\:a=-\sqrt{b}[/tex]

Therefore,

[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]

Answer:

lal

Step-by-step explanation:

ap3x

Answer:

counting by 6's

so it would be 69 next if your talking about the left side

or 39 if your talking abt the right side

Hope this helps!

Answer:

You did! well done

Step-by-step explanation:

Answer: Some natural barriers are the Himalayas isolating the Indian subcontinent from the rest of Asia, the Grand Canyon, the Dead sea, and the Mississippi river.

Answer:

With?

Step-by-step explanation:

Answer:

you didn't give what you need help with

Answer:

X= 24

la neta no se

Answer:

x = 8.3

Step-by-step explanation:

Triangles always equal to 180 degrees when taking about angles.

The equation would be:

30+(11x+5)+(-5+7x)= 180

add like variables:

30+5-5 = 30

11x+7x = 18x

put them into an equation:

18x +30= 180

cancel out:

18x+30=180

-30 -30

18x = 150

Divide:

18x = 150

÷ 18 ÷18

x = 8.3

This is an estimate as the answer in the calculator would be very long.

x(3y + 2z)

Step-by-step explanation:

Answer:

50 ft

Step-by-step explanation:

The concept to apply here is that of laws of sine of an angle where;

Sine of an angle theta = opposite length / hypotenuse

Sin 30° = height of building / length of the web

Sin 30° = h / 100

h = 100 sin 30° = 100 * 0.5 = 50 ft

Answer:

a = 1, b = - 3

Step-by-step explanation:

Expand the factors on the left side, then compare the coefficients of like terms on both sides.

left side

(ax + 4)(2x + b) ← expand using FOIL

= 2ax² + abx +8x + 4b

= 2ax² + x(ab + 8) + 4b

Compare coefficients of like terms with those on right side.

coefficients of x² terms

2a = 2 ( divide both sides by 2 )

a = 1

comparing constant terms

4b = - 12 ( divide both sides by 4 )

b = - 3

Answer:

Answer

Step-by-step explanation:

300-28= g x 7

Answer

0.27

Step-by-step explanation:

3 divided by 11

= 0.27

this is it I believe

Answer:

b= 2[tex]\sqrt{66}[/tex] or 16.248

Step-by-step explanation:

5^2 +b^2= 17^2

25 + b^2 = 289

-25              -25

b^2=264

b= 2[tex]\sqrt{66}[/tex] or 16.248

Answer:

The plumber worked for 6.5 hours.

Step-by-step explanation:

$111 - $20 = 91

91 / 14 = 6.5

Answer:

6.5 hours

Step-by-step explanation:

111 - 20 = 91, 91 divided by 14 = 6.5, he worked 6.5 hours. Hope this helps!