Find the following for the function f(x)=3x2+2x−3.

Answer:

y=4x+7

Step-by-step explanation:

Let's solve for y.

3y−21=12x

Step 1: Add 21 to both sides.

3y−21+21=12x+21

3y=12x+21

Step 2: Divide both sides by 3.

3y /3 = 12x+21 /3 y=4x+7

brainliest please?

Answer:

C (-1/2, -4 1/2)

Step-by-step explanation:

x = -2/(2·2)

x = -2/4 or -1/2

y = 2(-1/2)² + 2(-1/2) - 4

y = 2(1/4) - 1 - 4

y =  1/2 - 1 - 4 or -1/2 - 4 which equals -4 1/2

Answer:

x = 40

Step-by-step explanation:

1/5 ( x − 5 ) = 7

1/5x - 1 = 7

1/5x = 7 + 1

1/5x = 8

x = 8 * 5

x = 40

Answer:

dvd cost $12 each

book cost $1 each

Step-by-step explanation:

3d + 4b = 40

d + 6b = 18

substitution method:

d = 18-6b

3(18-6b) + 4b = 40

54 - 18b + 4b = 40

-14b = -14

b = $1

d + 6 = 18

d = $12

Answer:

80 in³

Step-by-step explanation:

The volume of a pyramid is :

1/3 * base * height

Height = 10

The base is : the area of the triangle :

Area of triangle = 1/2 * base * height

Base = 6 inches ; height of triangle = 8 inches

Area of triangle = 1/2 * 6 * 8 = 24 inches

Base of pyramid = Area of triangle

Therefore ;

Volume of pyramid = 1/3 * 24 * 10

Volume of pyramid = 8 * 10

Cubic inches of space to fill = 80 in³

Answer:

7x +5

Step-by-step explanation:

Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for the number of hours Mason works each week.

"h hours each day in the week"

There are 7 days, so 7 × x.

"5 hours on the weekend"

5

So, this can be written as 7x + 5.

Hope I helped, have a nice day!

               -Aadi x

Answer:

r=1.37

Step-by-step explanation:

so first we have to change 32/2 to a decimal

to do that you have to divide 32÷3=10.66...7

the formula to find the radius when given the volume is r=([tex]\frac {v}{4*pi}[/tex])^1/3

r=([tex]\frac {10.6666666667}{4*pi}[/tex])^1/3

r= 1.37

then to check your work-

v=4/3π1.37^3

v=10.77

technically 10.77 and 10.6666666667 aren't equal but that's as close as it'll get

good luck :)

i hope this helps

have a nice day !!

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

Answer:

I got you homie! B-)

This person’s favorite meal is twice as likely to be hamburger and French fries as it is to be spaghetti.

Step-by-step explanation:

The other person answered with something unhelpful at all

Answer:

9

Step-by-step explanation:

because 1 is one hour and the first line across is 5 so it it is not 6 miles so it has to be 9 miles she rode

Answer: tell me if i am wrong

yx = k, where k is a real constant.

When y = 30, x = 3.

=> k = (30)(3) = 90.

Hence when y = 6, x = k/y = (90)/(6) = 15.

Step-by-step explanation:

Answer:£2121.8

Step-by-step explanation:

Given

Principal money [tex]P=[/tex]£2000

rate of interest is  [tex]R=3\%[/tex]

time period [tex]T=2\ yr[/tex]

The amount by compound interest is given by

[tex]A=P[1+\frac{R}{100}]^T[/tex]

Putting values

[tex]\Rightarrow A=2000[1+0.03]^2\\\Rightarrow A=2121.8[/tex]

So, after two years it will be £2121.8

Answer:

15/8

Step-by-step explanation:

the mixed answer is 1 7/8

but also the answer is 15/8

Answer:

Area = 48 square units

Step-by-step explanation:

You're welcome :)

Answer:

0.5

Step-by-step explanation:

If there are twenty white marbles in a bag of 40, then the chances of drawing a white marble is 20/40, or 0.5:  one chance in two of drawing white.

Answer:

is it maryann or natalie lol

Step-by-step explanation:

Answer:

Q7: 6a³

Q8: -6n^4

Q9: -7a

Step-by-step explanation:

see attachment below

Assuming the point A has coordinates (2,3) and the center of dilation is the origin.

Then the image of point A under a dilation of scale factor of 4 is (4∗2,4∗3)=(8,12)(4*2,4*3)=(8,12)(4∗2,4∗3)=(8,12)

Hence A(2,3)→A′(8,12)A(2,3)\to A'(8,12)A(2,3)→A

′

(8,12)

In general the rule for a dilation of scale factor of k is (x,y)→(kx,ky)(x,y)\to(kx,ky)(x,y)→(kx,ky)

please mark me as brainliest

Answer:

99

Step-by-step explanation:

The following figure is a trapezoid with the following dimensions

Height = 9ft

Shorter Base Length = 6ft

Longer Base Length = 16ft

The area of a trapezoid can be found using this formula

[tex]A=\frac{a+b}{2}h[/tex]

where a and b = bases and h = height

Given all the information needed we plug in the values into the formula

[tex]A=\frac{6+16}{2} 9\\6+16=22\\\frac{22}{2} =11\\11*9=99\\A=99ft^2[/tex]

So we can conclude that the area of the trapezoid is 99 ft²

Answer:

Formula of a trapezoid:

Base 1 + Base 2 x H x 1/2

In this case:

Base 1 (6) + Base 2 (16) x Height (9) x 1/2

= 99

Answer: True-  [tex]\dfrac{9}{50}[/tex]

Step-by-step explanation:

Given

There are 50 letter tiles

9 of them is m letter

Favorable outcomes to draw an m letter tile is 9

The total ways to draw a single tile is 50

Probability is the ratio of favorable to the total outcomes

[tex]P=\dfrac{9}{50}[/tex]

So, the given statement is true

Answer:

4.2 inches

Step-by-step explanation:

Basketball rim:

diameter = 18 inches

r = 18/2 = 9 inches

Ball:

Circumference of ball = 30 inches

2πr = 30 inches

[tex]2*3.14*r = 30\\\\r = \frac{30}{2*3.14}\\\\r = 4.8 inches[/tex]

Distance between the ball and the rim in a shot when the ball goes exactly in the center of the rim = radius of the rim - radius of the ball

   = 9 - 4.8

   = 4.2 inches

Answer:

Step-by-step explanation:

Y intercept is at  (0,1) so b=1

slope is go 4 down 1 right so slope is -4

Equation is

-4x+1=y

Since both equations equal y they need to equal each other.

2x - 5 = -3x + 10

Add 3x to both sides:

5x -5 = 10

Add 5 to both sides

5x = 15

Divide both sides by 5

X = 3

Now solve for y by replacing x with 3:

Y = 2(3)-5 = 6-5 = 1

Y = -3(3)+ 10 = -9+ 10 = 1

Check: replace y with 1 and solve for x:

1 = 2x -5

Add 5 to both sides

6 = 2x

Divide both sides by 2

X = 3 ( True)

Answer:

(a) 153.93804

(b) 615.75216

Step-by-step explanation:

(a) A=πr2

14 divided by 2 =7

=π*7 squared =153.93804

(b) A=πr2

28 divided by 2= 14

=π*14 squared=615.75216

Answer:

56

Step-by-step explanation:

x+x+8=104

2x=96

x=48

48+8=56

Answer:

sine

Step-by-step explanation:

Answer:

use the cosine (cos)

Step-by-step explanation:

There are three trig functions:

sin

cos

tan

An easy way to remember which sides go with which function is the saying:

soh - cah - toa

so....breaking down the acronoym

sin refers to opposite over hypotenuse

cos refers to adjacent over hypotenuse

tan refers to opposite over adjacent

Hope this helps!!!! :)

Answer:

therefore the value of k for which the given quadratic equation will have quale and real root

Step-by-step explanation:

k=52 and k=52

Answer:

[tex] l(\widehat {KM}) = 15.07 \: units[/tex]

Step-by-step explanation:

[tex] Central\: angle \:(\theta) = 96\degree [/tex]

Radius (r) = 9 units

[tex]l(\widehat {KM}) = \frac{ \theta}{360 \degree} \times 2\pi r \\ \\ l(\widehat {KM}) = \frac{96 \degree}{360 \degree} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{96 }{360} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{5,425.92}{360}\\ \\ l(\widehat {KM}) = 15.072\\ \\ l(\widehat {KM}) = 15.07 \: units[/tex]

Answer:

Area of Parallelogram = B (base) x H (height)

The height = 35 in.

The base = 38 in.

Area = 35 in. x 38 in.

Area = 1330 in.^2   (1330 inches squared)

Answer: 1330

Step-by-step explanation:

Area = Base · Height

Base = 38

Height = 35

38 · 35 = 1330

Therefore

Area = 1330