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Studentka2010 [4]
3 years ago
13

-x3+3x2+5x+1 Evaluate when x=-12 Can someone help me I don’t understand this :(

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

2102

Step-by-step explanation:

Evaluate   -x³+3x²+5x+1   when x = -12

simply substitue x = -12 into the equation

-x³+3x²+5x+1   when x = -12

= - (-12)³ + 3(-12)² + 5(-12)+1

= -(-1728) + 3(144) - 60 + 1

= 1728 + 432 - 60 +1

= 2102

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Rectangle A is a scale drawing of Rectangle B and has 25% of its area. If rectangle A has side lengths of 4 cm and 5 cm , what a
SpyIntel [72]

Answer:

8 cm and 10 cm

Step-by-step explanation:

Hello, <em> </em>I can help you with this.

Step 1

According to the question there are two rectangles A and B,

Rectangle A is a scale drawing of Rectangle B and has 25% of its area

in other words

Area_{A}=0.25*Area_{B} (Equation\ 1)\\

Step 2

Let

Rectangle A

length (1)= 4 cm

length (2)= 5 cm

Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}

put this value into equation 1

Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\  Area_{B}=80\ cm^{2}

Now, we know the area of rectangle B, to know its length we need to formule other equation

Step 3

Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\

the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then

\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)}  \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)

Step three

using Eq 1 and Eq 2 find the lengths

put the value of length(1B) into equation (2)

length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm

Now, put the value of length(2B) into equation 3 to know length (1B)

length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm

I really hope this helps you, have a great day.

6 0
3 years ago
Point B is on the graph of the function f(x) = -3x^2. If the x-coordinate of point B is 2, which ordered pair gives the location
Oksana_A [137]
<span>f(x) = -3x^2</span>
insert x=2
y=-3*2^2
y=-3*4
y=-12
so your pair is (2,-12)
6 0
2 years ago
What is 3.45 written as a percentage?
DiKsa [7]

Answer:

345%

Step-by-step explanation:

4 0
2 years ago
How would you write: two times a number plus one is greater than five and less than seven.?
lesya [120]
This would be written like this: 5>2n+1<7. Hope this helps.

5 0
3 years ago
Pls help I will give brainliest ​
Radda [10]

its B. 50°

Triangle Have 180°

  • 180 - 90 = 90
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Half of triangle Have 90°

  • 90° - 40° = 50°

5 0
2 years ago
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