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fgiga [73]
3 years ago
11

What is the value of the following(Please show work)

Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

1) 3( 2) - 1 = 6 - 1 = 5

2) 2(-1) - 3+4(-1) = -2 -7 = -9

3) 4^2-6(4)=9 = 16-24=9, = -8=9

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Trevor is analyzing a circle, y2 + x2 = 49, and a linear function g(x). Will they intersect?
melomori [17]
We have a circumference that is given by the following equation:

x^{2}+y^{2}=49

We can write this equation in its standard form as follows:

 x^{2}+y^{2}=7^{2} \\ where \ the \ radius \ r=7

On the other hand, the linear function is given as the following table:

x \ \ \ \ \ \ \ \ g(x) \\ -1 \ \ -9.2 \\ 0 \ \ \ \ \ -9 \\ 1 \ \ \ \ \ -8.8

To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:

x^{2}+(0.2x-9)^{2}=49 \\ \\ \therefore x^{2}+0.04x^{2}-3.6x+81=49 \\ \\ \therefore 1.04x^{2}-36x+32=0 \\ \\ Solving \ for \ x: \\ x_{1}=33.70 \\ x_{2}=0.91 \\ \\ Solving \ for \ y: \\ y_{1}=0.2(33.70)-9=-2.26 \\ y_{2}=0.2(0.91)-9=-8.18

 Finally the intersects are:

 P_{1}(33.70, -2.26) \ and \ P_{2}(0.91, -8.18)
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7 0
2 years ago
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Two roots of a third degree polynomial function f(x) are –4 and 4. Which statement describes the number and nature of all roots
marta [7]

Answer:

Step-by-step explanation:

A third degree polynomial has a <em>total of three roots</em>, real and imaginary combined.

If it already has 2 real roots, -4 and +4, then it has to have three real roots because imaginary roots come in conjugate pairs, i.e. they come in even numbers.

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2 years ago
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What are the vertical and horizontal asymptote of f(x)=2x/x-1
makvit [3.9K]
F(x)=2x/(x-1)

Denominator cannot be equal 0.
x-1=0
x=1  is vertical asymptote.

To find horizontal asymptote
we need divide the coefficients before x
y=2x/x=2,because when x becomes really big (x---->∞) , value of 1 will not influence the result .
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3 years ago
Elizabeth bought 6 lipsticks for $15. How many lipsticks can be bought for $60
dmitriy555 [2]

Answer:

4 lipsticks

Step-by-step explanation:

15+15=30, 30+30=60

3 0
2 years ago
Simplify the expression:<br><br> –5(6 − 2y) =
Vadim26 [7]
-30+10y
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