solve for x in parts below:​

[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]

Use the following property above to find the value. Substitute f(x) and g(x) in.

[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]

Evaluate/Combine like terms.

[tex] \large{2x + {x}^{2} - 5}[/tex]

This step is optional but it's the best to arrange the degree.

[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]

Answer

Let me know if you have any doubts!

Answer:

320 square feet.

Step-by-step explanation:

For the moment, let's put the square back in place. That would make the length 16 + 8 = 24 and the width 16.

L = 24

W = 16

Area = L * W

Area = 24 * 16

Area = 384

Now the next step is to take out the square. It is 8 * 8 = 64

The area of the figure = 384 - 64 = 320 square feet, and that's the answer.

Answer:

320 in^2

Step-by-step explanation:

we need to find the area of this figure

Firstly divide above picture in two parts

1st figure = (16*16)in.

2nd figure = (8*8)in.

Area of 1st figure = 16*16 = 256 in^2

Area of 2nd figure = 8*8 = 64 in^2

Area of whole figure = ( 256 + 64 )in^2

= 320 in^2

Answer: 0.973

Step-by-step explanation:

The probability mass function of geometric distribution is

[tex]f(x)=(1-p)^{x-1}p,\ \ \ x=1,2,3,...[/tex], p= probability of success on a trial.

As per given, we have

p=0.7

The probability that we'll have at most 3 orders [tex]P(X\leq3)=P(x=1)+P(x=2)+P(x=3)[/tex]

[tex]=(1-0.7)^{1-1}(0.7)+(1-0.7)^{2-1}(0.7)+(1-0.7)^{3-1}(0.7)\\\\=0.7+0.21+0.063\\\\=0.973[/tex]

hence, the required probability = 0.973

The probability that we'll have at most 3 orders will be "0.973".

According to the question,

→ [tex]x \sim Geometric (p)[/tex]

here,

p = 0.7

then,

→ [tex]P(X=x) = (1-p)^{x-1}\times p[/tex]

By putting the given values, we get

                   [tex]= (1-0.7)^{x-1}\times 0.7[/tex]

hence,

The probability that we'll have at most 3 orders will be:

→ [tex]P(X \leq 3)=P(X=1)+P(X=2)+P(X=3)[/tex]

                   [tex]=0.7+0.21+0.063[/tex]

                   [tex]=0.973[/tex]

Thus the above response is correct.

Learn more about probability here:

https://brainly.com/question/6981569

Answer:

24 and 32

Step-by-step explanation:

Let their present ages be x and y

Therefore, x

[tex] \frac{x}{y} = \frac{3}{4} [/tex]

we have 4x = 3y

4x - 3y = 0......................(I)

After four years,

[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]

we have, 9(x + 4) = 7(y + 4)

9x + 36 = 7y + 28

9x - 7y = -8 ........................(ii)

Solving (I) and (ii) simultaneously

4x - 3y = 0

9x - 7y = -8

multiply eqn I by 9 and equation (ii) by 4 and subtract result

36x - 27y = 0...............(iii)

36x - 28y = -32...........(iv)

subtracting (iv) from (iii) we have,

y = 32

substituting y back in equation (I)

4x - 3y = 0

4x -3(32) = 0

4x - 96 = 0

4x = 96

x = 24

Their ages are 24 and 32

9514 1404 393

Answer:

  your 3rd step should be x = -3

Step-by-step explanation:

When you combine the equations in step 2, you get ...

  5x = -15

Dividing by 5 gives the solution for x:

  x = -3

This is what your Step 3 should show. This is the value that is consistent with the remaining steps.

Answer:9514 1404 393

Step-by-step explanation:

Answer:

you need to zoom in i cant see plz :)

Step-by-step explanation:

Answer:The answer is 4.06

Step-by-step explanation:

Okay I am 98% sure my math could be wrong since I don’t know what the possible answers to the question are but this is what I got.

Answer:

its 238,535km²

Step-by-step explanation:

i hope it helps alot

What is the area of Ghana?

ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

E. p - 7 + 7 = 22 + 7

Step-by-step explanation:

p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)

p = 22 + 7

p - 7 = 22//

Answer:

60

[tex]2^{2} * 3 * 5[/tex]

Step-by-step explanation:

Answer: Graph B

=====================================================

Explanation:

Point A appears to be at (2.5, -1)

If we shift 6 units to the left, then we subtract 6 from the x coordinate. So the new x coordinate is now 2.5-6 = -3.5

If we shift 4 units up, then we add 4 to the y coordinate to go from -1 to -1+4 = 3

Overall, the point A(2.5, -1) moves to A'(-3.5, 3)

Graph B is the answer because of this. The other points B and C will follow the same pattern as point A does.

See the graph in the attached image.

Answer:

4096 different cakes can be made if flavors can be repeated.

Step-by-step explanation:

Since at Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice cream alternating with layers of cake, if there are 8 flavors of ice cream, and we count different cakes based on the order of ice cream Layers from top to bottom, to determine how many different cakes can be made if flavors can be repeated, the following calculation must be performed:

8 x 8 x 8 x 8 = X

64 x 64 = X

4.096 = X

Therefore, 4096 different cakes can be made if flavors can be repeated.

Answer:

Option(A)

Step-by-step explanation:

y=4x+2

When you replace the value of x in the equation you get the value of y

Answer:

the answer is A since if we lay it out we will get y

-6=-2*4+2

2=0*4+2

6=1*4+2

[tex]924 - (383 + 356 + 2 + 5 )[/tex]

Answer:

Step-by-step explanation:

total no. of people in the theatre = 924

men=383

women=356

boy children =2

doing workout 5

total=746

no. of girls= 924-746=178

Therefore, the number of girls are in the theatre are 178.

Answer:

both apply

Step-by-step explanation:

i guessed just do it

Answer:

=−2r3+4r2

Step-by-step explanation:

r2−2r3+3r2

=r2+−2r3+3r2

=r2+−2r3+3r2

=(−2r3)+(r2+3r2)

=−2r3+4r2

Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + q) / (8 + q) = 0.60

Solve for q :

3.2 + q = 0.60 (8 + q)

3.2 + q = 4.8 + 0.6q

0.4q = 1.6

q = 4

Answer:

[tex]Pr =\frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space

First, list out all outcomes whose sum is divisible by 5

[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]

So, we have:

[tex]n(A) = 3[/tex]

Next, list out all outcomes that has an outcome of 5 in both rolls

[tex]B = \{(5,5)\}[/tex]

[tex]n(B) =1[/tex]

The required conditional probability is:

[tex]Pr =\frac{n(B)}{n(A)}[/tex]

[tex]Pr =\frac{1}{3}[/tex]

Answer:

Maybe Plants products...

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

Answer:

the answer is B: 7.7 inches

Step-by-step explanation:

did the test go 100%

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5)  are the coordinates of the center of the circle.

r=6  is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

Answer:

14 (B)

Step-by-step explanation:

Area = L * h

L = 7 in^2

h = 2

Area = 7 * 2

Area = 14 in^2

Answer:

14

Step-by-step explanation:

Did lesson

Step-by-step explanation:

the answer is in the above image

pls give me BRAINLIEST