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lakkis [162]
3 years ago
13

Given g(x)= -2x+2 and f(x)= 3x^2+4, find (g+f)(-3)

Mathematics
1 answer:
aliina [53]3 years ago
3 0

Answer:

39

Step-by-step explanation:

g(x)= -2x+2 and f(x)= 3x^2+4

(g+f)(-3)

g(-3) = -2(-3) +2 = 6+2 =8

f(-3) = 3 (-3)^2 +4 = 3(9)+4 = 27+4 = 31

(g+f)(-3) = g(-3) + f(-3) = 8+31 = 39

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Ben bowled 133 and 206 in his first two games. What must he bowl in his third game to have an average of at least 170?
qaws [65]

Answer:

171

Step-by-step explanation:

(133+206+x)/3 = 170

133+206+x = 510

339 + x = 510

x = 171

(133+206+171)/3 =

7 0
3 years ago
Read 2 more answers
The line plot below shows the heights of flowers in a garden. How much taller is the tallest flower than the shortest flower?​
Marat540 [252]

Answer:

1 3/4 inches

Step-by-step explanation:

<u><em>Given:</em></u>

<em>The line plot below shows the heights of flowers in a garden. </em>

<u><em>To Find:</em></u>

<em>How much taller is the tallest flower than the shortest flower?​</em>

<u><em>Solve:</em></u>

<em>Knowing that each dot represent it's heights.</em>

<em>Let's makes a table:</em>

<em>6 1/2 ⇒ О О</em>

<em>6 3/4 ⇒ О</em>

<em>7 ⇒ ОООО</em>

<em>7 1/4 ⇒ ОООООО</em>

<em>7 1/2 ⇒ ОООО</em>

<em>7 3/4 ⇒ ОО</em>

<em>8 ⇒ none</em>

<em>8 1/4 ⇒ О</em>

<em>8 1/2 ⇒ none</em>

<em>It's also given that the tallest flower and the shortest flower.</em>

<em>Which is:</em>

<em>Smallest → 6 1/2</em>

<em>Tallest → 8 1/4</em>

<em>Now all we have to do is subtract tallest flower from the shortest flower.</em>

<em>8 1/4 - 6 1/2</em>

<em>Break off 1 from 8 : 8 1/4 = 7 5/4</em>

<em>Now we have:</em>

<em>7 5/4 - 6 1/2</em>

<em>Subtract whole number: 7 - 6 = 1</em>

<em>Combine fraction:</em>

<em>5/4 - 1/2 = 3/4</em>

<em>1 + 3/4 </em>

<em>= 1 3/4 inches</em>

<em>Hence, the answer is [B] 1 3/4</em>

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

6 0
1 year ago
A chef is going to use a mixture two different brands of Italian dressing the first spring and days 5% vinegar the second brain
Temka [501]

I guess the chef is making the mixture for the sheriff... Let <em>x</em> be the amount of dressing with 5% vinegar that is required, and <em>y</em> the amount of 15% vinegar dressing (both amounts in mL).

The sheriff wants 390 mL of the mixed dressing, so that

<em>x</em> + <em>y</em> = 390

<em>x</em> mL of the 5% dressing contains 0.05<em>x</em> mL of vinegar, while <em>y</em> mL of the 15% dressing contains 0.15<em>y</em> mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means

0.05<em>x</em> + 0.15<em>y</em> = 35.1

Solve for <em>x</em> and <em>y</em> :

<em>y</em> = 390 - <em>x</em>

0.05<em>x</em> + 0.15 (390 - <em>x</em>) = 35.1

0.05<em>x</em> + 58.5 - 0.15<em>x</em> = 35.1

23.4 = 0.10<em>x</em>

<em>x</em> = 234

<em>y</em> = 156

7 0
2 years ago
What value does stage theories of development have
siniylev [52]
If human development really does proceed continuously, what value does stage theories of development have?

Answer:

Even if human development is continuous, there is some value in stage theories of development. A stage theory of development allows experts to examine the developmental progress of individuals and establish a basis for developmental changes. This can help identify developmental issues earlier. Stage theories can also help researchers who are examining physical development examine discrete changes in the brain that allow certain developmental milestones to be reached. Finally, stage theories can give one a sense of where an individual is developmentally, and can prepare the person for changes that may occur during their lifetime.
4 0
2 years ago
A carpenter can make at most 20 tables and at most 30 chairs per day. Each
baherus [9]

Answer:Its B

Step-by-step explanation:

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