Consider the graph of f(x) below. The graph contains the points (0, 1) and (5, 4).



Write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, power, or logarithmic.

Answer:

.85 or 17/20

Step-by-step explanation:

just use a calculator to solve

9514 1404 393

Answer:

  D.  37.5 square units

Step-by-step explanation:

There are a couple of ways to figure this.

1. The altitude KM is the geometric mean of the segment lengths ML and MJ

  KM = √(ML·MJ)

  ML = KM²/MJ = 36/8 = 4.5

Then LJ = 4.5 +8 = 12.5, and the area of the triangle is ...

  A = (1/2)bh

  A = (1/2)(12.5)(6) = 37.5 . . . square units

__

2. Triangle LKM is similar to triangle KJM. The scale factor is ...

  KM/JM = 6/8 = 3/4

Then the area of triangle LKM is (3/4)² = 9/16 of the area of triangle KJM.

The total area is ...

  Area of LJK = (area of KJM)×(1 + 9/16)

  = (1/2)(8)(6)(25/16) = 75/2 = 37.5 . . . square units

$6.25

Take the total and subtract the amount of money from the pies to get the amount for cupcakes

Answer:

70

Step-by-step explanation:

Answer:

[tex] \purple {\bold {m\angle A =70\degree}} [/tex]

Step-by-step explanation:

ABCD is a trapezoid. AB || DC and AD is transversal...(given)

[tex] AD \cong BC.. (given) [/tex]

Therefore, ABCD is an isosceles trapezoid.

Measures of base angles of isosceles trapezoid are equal.

[tex] \therefore m\angle D =m\angle C[/tex]

[tex] \because m\angle C =110\degree... (given) [/tex]

[tex] \therefore m\angle D =110\degree [/tex]

[tex] m\angle A+ m\angle D =180\degree [/tex]

(interior angles on the same side of transversal)

[tex] m\angle A+ 110\degree =180\degree [/tex]

[tex] m\angle A =180\degree -110\degree [/tex]

[tex] \purple {\bold {m\angle A =70\degree}} [/tex]

Answer:

6x+18

Step-by-step explanation:

Multiply 3 to all the numbers on the parenthesis

Hope this helps!

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

x/15=8/20

Multiply both sides by 10:

x/15*10=8/20*10

Simplify:8/20*10

2x/3=4

Multiply both sides by 3:

3*2x/3=4*3

simplify:

2x=12

Divide both sides by 2:

2x/2=12/2

Simplify:

x=6

Step-by-step explanation:

f(x) = 4x-5

g(x) = 2x

(f + g)(x)=f(x) +g(x)=4x-5+2x=6x-5

Answer:

2/7

Step-by-step explanation:

You do the number it goes up, 1 to 3 in this case, over the number it goes sideways, 3 to -4. My teacher always said rise over run to help us remember.

Answer:

a  -1

b 1

c 3

d 2

no

Step-by-step explanation:

Answer:

LCD = 24

Equivalent Fractions with the LCD

1 1/2 = 36/24

3/8 = 9/24

5/6 = 20/24

3 = 72/24

Solution:

Rewriting input as fractions if necessary:

3/2, 3/8, 5/6, 3/1

For the denominators (2, 8, 6, 1) the least common multiple (LCM) is 24.

LCM(2, 8, 6, 1)

Therefore, the least common denominator (LCD) is 24.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1 1/2 = 3/2 × 12/12 = 36/24

3/8 = 3/8 × 3/3 = 9/24

5/6 = 5/6 × 4/4 = 20/24

3 = 3/1 × 24/24 = 72/24

Answer:

2.25

Step-by-step explanation:

Given the cost model:

C(l) = l3 – l2 + l + 2.5

l = Length fo package

The length of a package that cost $11.00

11 = l³ - l² + l + 2.5

From the table given :

Length of mail which cost $11 will just be slightly greater Than 2 as the cost of 2 length mail cost 8.50

Taking l as 2.20

2.2^3 - 2.2^2 + 2.2 + 2.50 = 10.508

Taking a slightly higher value :

Put l = 2.25

2.25^3 - 2.25^2 + 2.25 + 2.50 = 11.078

Ww can conclude that the length of mail would be 2.25

Answer:

2.75

Step-by-step explanation:

Answer:

254.34 inches²

Step-by-step explanation:

The formula for area of a circle is: pi x r². The radius is half of the diameter (18) which in this case would be 9. Square it to get: 81. Multiply by pi: 81 x 3.14 = 254.34.

Hope it helps!

Answer:

I believe it is around 56.52

Step-by-step explanation:

3.14

x

 18

--------

56.52

Answer:

eight hundred seventy five thousand five hundred eighty four

Step-by-step explanation:

Answer: 11 more i think

Step-by-step explanation:

Answer:

262,000

Step-by-step explanation:

Answer:

[tex] \sqrt{} \frac{1}{49} = \frac{1}{7} [/tex]

Answer:

628 inches²

Step-by-step explanation:

the equation for surface area is SA=2(lw+lh+hw) so..

1. 2×(16×14 + 16×3 + 3×14)

2. 2×(224+48+42)

3. 2×314

4. 628

Hope this helps! :)

Answer:

i don't know how to answer

Step-by-step explanation:

Answer:

Step-by-step explanation: When dealing with fractions in the way they are used in this problem the word "of" (as in "1/32 OF the total sales") means to multiply.

the total sales") means to multiply.

So we can write an equation as:

c

=

r

⋅

s

Where:

c is the commission earned, what we are solving for in this problem.

r  is the commission rate -  1/

32  in this problem

s  is the total sales - $24,000 in this problem.

Substituting and calculating  c  gives:

c

=1/32 x $24,000

c=$24,000/

32

c

=

$

750

Answer:or point  A (-2, 3) is (-8,12).

Step-by-step explanation:

The Black Valley in Kerry, which only saw the arrival of electricity in the 1970s, is to get high-speed satellite-delivered internet this year in a pilot project funded by technology billionaire Elon Musk.Musk, founder of SpaceX and electric carmaker Tesla

Answer:

$47

Step-by-step explanation:

46.875 rounded would be 47.

Answer:

y = –7x – 11

6x – 4y = 10

Step-by-step explanation:

From the question given above, we obtained:

x = –1

y = –4

y = ?x – 11 ....... (1)

6x – ?y = 10b......... (2)

Let the two unknown be a and b. Thus the above equation becomes:

y = ax – 11 ......... (3)

6x – by = 10 .......(4)

Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:

For a:

y = ax – 11

x = –1

y = –4

–4 = a(–1) – 11

–4 = –a – 11

Collect like terms

–4 + 11 = –a

7 = –a

Multiply through by –1

a = –7

For b:

6x – by = 10

x = –1

y = –4

6(–1) – b(–4) = 10

–6 + 4b = 10

Collect like terms

4b = 10 + 6

4b = 16

Divide both side by 4

b = 16 / 4

b = 4

Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.

y = ax – 11

a = –7

y = –7x – 11

6x – by = 10

b = 4

6x – 4y = 10

Therefore, the complete equation are:

y = –7x – 11

6x – 4y = 10

Answer: The sale price of the chair including tax = $221.83

Step-by-step explanation:

Regular price of chair = $435

Discount = 47%

Sales price = 47 % of (Regular price)

= $ 0.47 (435)

= $ 204.45

Tax rate = 8.5% = 0.085

Tax amount = Tax rate × Sales price

= 0.085 × 204.45

= 17.37825≈ $ 17.38

The sale price of the chair including tax = Sales price + Tax amount

= $ ( 204.45+17.38)

= $ 221.83

Hence, the sale price of the chair including tax = $221.83

Answer:

56 feets

Step-by-step explanation:

Length, L = 15

Width, W = 18

Using the relation ; Perimeter, P :

P= 2L + 2W

P = 2(15) + 2(18)

P = 20 + 36

P = 56 feets

Answer:

assuming that there are an equal number of colored marbles in the bag and their total is 20 marbles in the bag:

C) 17/20

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

add all the numbers together and divide by amount of present numbers

Answer:

16

Step-by-step explanation:

20+15+19+16+10= 80

80 divided by 5 is 16

to find the mean you add all of the numbers up and then divide the sum by the number of numbers there are hope this helps have a good rest of your night :) ❤

Answer:

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

Area of a rectangle: Area = Length x Width

Have to look at it in two different rectangles and add up the areas.

• 8 x 4 = 32

• 2 x 4 = 8

• 32 + 8 = 40

• Area of the figure is 40!

Answer:

Yes, I agree

The Petronas Towers are taller than the Sears tower

Step-by-step explanation:

The rule regarding spires and antenna of the Council on tall buildings and Urban Habitat states that "an antenna is just functional - something with a technical purpose stuck on the top of a building after it is finished while spires are considered a continuation of the form of the building.

According to the Council, the Petronas Towers are taller than the Sears Tower because spires are included in a building's architecture while antennae are not.

The architectural height of the Petronas towers is 1,483ft

The architectural height of the Sears (now Willis) tower is 1,450ft