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Novay_Z [31]
3 years ago
13

At the calendar shop, wall calendars cost $10 and desk calendars cost $6. Kira spent $60 to buy 8 calendars. How many of each ty

pe of calendar did Kira buy?
Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0

Answer: 3 desk calender's and 3 wall calendars

Step-by-step explanation: 6 x 5 = 30 and 3 x 10 = 30

30 + 30 = 60

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f(x) = 3x2 - 2x g(x) = x + 4 When finding f(x) · g(x), what could the first step look like? A) 3x2 + 12x2 - 2x2 - 8x B) 3x2 + 7x
Anna71 [15]

(3x^2 - 2x)(x + 4)

<em><u>First step would be: distributive property.</u></em>

3x^3 + 12x^2 - 2x^2 - 8x

<em><u>Combine like terms.</u></em>

3x^3 + 10x^2 - 8x is the simplified form of the functions multiplied.

Your answer is D.


3 0
3 years ago
the shorter leg of a right triangle is 8 inches shorter ybsn the longer leg. the hypotenuse is 8 inches longer thsn the longer l
Artyom0805 [142]

Answer:

Short leg = 24inches

Long leg = 32inches

Hypotenuse = 40inches

Step-by-step explanation:

Given:

  • shorter leg is 8inches shorter than the longer leg
  • hypotenuse is 8inches longer than the longer leg
  • longer leg = x inches

<u>Pythagorean Theorem:</u>

a²+b²=c² → (x-8)²+ x² = (x+8)²

Solving for both sides:

x² - 16x+ 64 + x² = x²+ 16x + 64

<u>More Painful Solving:</u>

x² - 32x = 0

x(x-32) = 0

 

x=0 or 32

Can't use the 0 so we trash it!

x=32

add 8 to get the hypotenuse and subtract 8 to get the short leg

8 0
3 years ago
The table represents the function f (x) = 3x-1
Reika [66]

Answer:

a=-16, b=11, c=23

Step-by-step explanation:

The function that represents the table is

f(x) = 3x - 1

We substitute x=-5 to find the value of a.

a = f( - 5) = 3( - 5) - 1

We evaluate to obtain:

a =  - 15 - 1 =  - 16

To find the value of b, we substitute x=4,

We get:

b = f(4) = 3 \times 4 - 1 \\ b = 12 - 1 \\ b = 11

To find c, we plug in x=8,

c = f(8) = 3(8) - 1 \\ c = 24 - 1

c = 23

4 0
4 years ago
Which equation does NOT represent a function?
solong [7]
C. Y=12

There’s no x variable
5 0
3 years ago
Solve for x. use the completing the square method.<br><br>x^2+8x=5
jok3333 [9.3K]
x^2+8x=5

x^2+8x + ( \frac{8}{2} )^2 =5 +  (\frac{8}{2} )^2

x^2+8x + (4)^2 =5 +  (4)^2

(x+ 4)^2 =21

x+ 4 = \pm \sqrt{21}

x = \sqrt{21} - 4 \ or \ x=  -\sqrt{21} - 4

x = 0.58 \ or \ x= -8.58

6 0
3 years ago
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