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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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4x - 7 (2 - x) = 3x + 2
juin [17]

Answer:

x=2

Step-by-step explanation:

4x−7(2−x)=3x+2

4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)

4x+−14+7x=3x+2

(4x+7x)+(−14)=3x+2(Combine Like Terms)

11x+−14=3x+2

11x−14=3x+2

Step 2: Subtract 3x from both sides.

11x−14−3x=3x+2−3x

8x−14=2

Step 3: Add 14 to both sides.

8x−14+14=2+14

8x=16

Step 4: Divide both sides by 8.

x=2

3 0
3 years ago
Black walnut trees contain chemicals that inhibit the growth of other plants. In a simple experiment to test whether this is tru
solong [7]

Answer:

<em>Height of tomato plant is the </em><u><em>dependent variable</em></u>

<em>Presence of walnut leaves in the soil is the </em><u><em>independent variable</em></u>

<em>Tomato plants grown without walnut leaves is the </em><u><em>control</em></u>

<u><em></em></u>

Step-by-step explanation:

<em>An independent variable is the variable in an experiment that can be altered to test for a certain result. It is independent, or does not change with change in other factors in the experiment.</em> In this case, the presence or absence, or quantity of walnut available in the soil is the independent variable in the experiment.

<em>A dependent variable varies, and depends on the independent variable. It is what is measured in the experiment.</em> In this case, the height of the tomato plants is the dependent variable that depends on the presence, absence or quantity of walnut in the soil.

<em>A control in an experiment, is a replicate experiment, that is manipulated in order to be able to test a single variable at a time.</em> Controls are variables are held constant so as to minimize their effect on the system under study. In this case, some of the tomato plants are planted without walnut in the soil, to test the effect of the absence of the walnut in the soil.

5 0
3 years ago
Mike is picking out 4 books to read out of collection of 12. How many ways can the books be picked?
AURORKA [14]
3 sets or it you could divide which would still give you 3
6 0
3 years ago
Read 2 more answers
It was 55 degrees fahrenheit outside until the temperature increased 20 degrees fahrenheit. Which number is the addictive invers
ValentinkaMS [17]
Try using this
https://www.almanac.com/content/temperature-conversion
3 0
3 years ago
What is the mean of the values in the dot plot?<br><br><br><br> Enter your answer in the box.
marissa [1.9K]

Answer:

the mean is 46.

Step-by-step explanation:

The total is 460 and divided by the amount of numbers(10) is 46.

4 0
2 years ago
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