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Phantasy [73]
3 years ago
14

Given that g(x)=3x²-5x+7 find each of the following

Mathematics
1 answer:
melomori [17]3 years ago
5 0
G(x) = 3x² - 5x + 7

b) g(-2) ==> Substitude -2 into x

g(-2) = 3(-2)² - 5(-2) + 7
g(-2) = 12 + 10 + 7
g(-2) = 29

c) g(4) ==> Substitude 4 into x

g(4) = 3(4)² - 5(4) + 7
g(4) = 48 - 20 + 7
g(4) = 35

d) g(-x) ==> Substitude -x into x

g(-x) = 3(-x)² - 5(-x) + 7
g(-x) = -3x² + 5x + 7

e) g(1 - t) ==> Substitude 1 - t into x

g(1 - t) = 3(1 - t)² - 5(1 - t) + 7
g(1 - t) = 3(1 - 2t + t²) - 5 + 5t + 7
g(1 - t) = 3 - 6t + 3t² - 5 + 5t + 7
g(1 - t) = 3t² - t + 5
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Ariana is driving on a long road trip she currently has 10 gallons of gas in her car each hour that she drives her car uses up 1
Pavel [41]

Answer:

Step-by-step explanation:

Start: 10 gallons

Loss: 1.75 per hour --> -1.75 gallons

After two hours 10+2(-1.75)=10-3.5=6.5 gallons left

After t hours 10+t(-1.75)=10-1.75t gallons left

6 0
3 years ago
A special deck of cards has ten cards. Four are green, three are blue, and three are red. When a card is picked, its color of it
nata0808 [166]

Answer:

P(A) = 3/20

Step-by-step explanation:

P(A)=P(blue)P(head)=(3/10)(1/2)=3/20

as there are 10 cards in total, out of which 3 are blue so the probability to get the blue card is, P(blue) = 3/10. and the probability of getting a head when a coin is tossed is P(head) = 1/2.

So in total

P(A) = P(blue)*p(head) = (3/10)*(1/2) = 3/20 = 0.15

8 0
3 years ago
Violet was carrying around the steps to solve square root of 3x plus 1 = 4. On her way through the Math Factory, Violet dropped
lutik1710 [3]

Answer:

D

Step-by-step explanation:

solve square root of 3x plus 1 = 4:

D is correct and results in 3x + 1 = 16; after this we subtract 1 from both sides and end up with 3x = 15, or x = 5.

7 0
3 years ago
Read 2 more answers
Identify the reflection rule on a coordinate plane that verifies that triangle A(-1,7), B(6,5), C(-2,2) and A'(-1,-7), B'(6,-5),
malfutka [58]

Answer:

Option B is correct.

The reflection rule is followed here is,  (x,y) \rightarrow (x, -y).

Explanation:

Since, the triangle is reflected over the x-axis , then only y- coordinates will get changed but the x coordinates will remain the same.

A(-1,7) \rightarrow A'(-1,-7)

B(6,5) \rightarrow B'(6,-5)

C(-2,2) \rightarrow C'(-2,-2)

Therefore, the only reflection rule on the coordinate plane that verifies the triangle are congruent when reflected over x-axis is, (x,y) \rightarrow (x, -y)


3 0
4 years ago
Pls help 20 points if u answer
yarga [219]
I have absolutely no idea i hate math so much
3 0
3 years ago
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