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kati45 [8]
3 years ago
13

H(x) = x^2+6 g(x) = 8x-5 show that hg(x)=19 simplifies to 16x^2 - 20x + 3 = 0

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

h(x)=x²+6 and g(x)=8x-5

prove that hg(x)=19

Step-by-step explanation:

step 1: hog(x)=h[g(x)]

step 2: h(8x-5)

step 3: h(8x-5)= (8x-5)²+6

step 4: (8x-5)(8x-5)+6

step 5: 16x² +15x +6

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Avery’s water bottle holds 300 milliliters. Dashawn’s container holds 3/4 as much water how much do both containers hold?
GarryVolchara [31]

Answer: Avery's bottle holds 300 milliliters. If Dashawn's container holds 3/4 as much, then his container can hold 225 milliliters. Added together, both containers can hold 525.

Step-by-step explanation: 3/4 of 300 is 225. 300 + 225 = 525.

7 0
3 years ago
If f(a)=(a•a•a)-(a•a) + a-1 what is the value of f(-3)?
Elena L [17]

Answer:

-40

Step-by-step explanation:

f(a) = a³ - a² + a - 1

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3 0
3 years ago
Mark said he can decompose the fraction 5/6 into three numerator.Is this possible? Explain.
OlgaM077 [116]
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4 0
3 years ago
Alex and his friend Kim made a one-gallon pitcher of lemonade because it was so hot. They drank 5 glasses that each help 2 cups
natulia [17]

we know that

4 cups of lemonade = 1 quart

1 gallon of lemonade = 4 quarts

1 gallon of lemonade = 16 cups

Step 1

<u>  find the amount of lemonade that's left expressed in cups</u>

5 glasses * 2 cups = 10 cups  

16 cups - 10 cups = 6 cups.  

There are 6 cups of lemonade left.  

Step 2

<u>  find the amount of lemonade that's left expressed in  quarts:  </u>

4 cups = 1 quart.  

(6 cups divided by 4 cups will equal the quarts.)  

6/4=1.5

6 cups = 1.5 quarts.  

There are 1.5 quarts of lemonade left.  

Step 3

<u>  find the amount of lemonade that's left expressed in gallons  </u>

4 quarts = 1 gallon.  

(1.5 quarts divided by 4 quarts will equal the gallon)  

1.5/4=0.375

1.5 quarts = 0.375 gallon.  

There is 0.375 gallon left of lemonade.

6 0
3 years ago
What is 0.375 as a fraction
juin [17]

Answer:

3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8

4 0
2 years ago
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