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nexus9112 [7]
2 years ago
5

1. Solve by factoring. 2x2 − x = 3

Mathematics
1 answer:
Nina [5.8K]2 years ago
4 0

Answer:

2x^2-x = 3 \\2x^2-x-3 = 0\\(x+1)(2x-3)=0

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Select the expression that equals 9-(-15) a.9+(15) b. -9+15 c. 9+(-15) d. -9+-15
madreJ [45]

Answer:

Step-by-step explanation: PURPLE

4 0
3 years ago
Which is the best estimate of the correlation coefficient for the scatter plot?
leva [86]

The best estimate for this correlation would be B) 0.9.

We can see that the number is constantly going up, which would throw out the D answer.

We can also see that for every time the x goes up 1, the y goes up a little less than one. We can see that in the ordered pairs that exist on the graph such as (3, 2), (8, 6) and (2.1, 1.9).

Since the y values are just lower than the x, the correlation would be just under one. Therefore, 0.9 is an accurate estimation.

7 0
3 years ago
Read 2 more answers
I need help on this please
ziro4ka [17]

Answer:

See answers below

Step-by-step explanation:

From the given functions, the equivalent function for when x = 0 is -(x-1)²

h(x) = -(x-1)²

h(0) = -(0-1)²

h(0)= -(-1)²

h(0) = -1

when x = 2, the equivalent function is -1/2x - 1

h(x) =  -1/2x - 1

h(2) =  -1/2(2) - 1

h(2) = -1-1

h(2) = -2

when x = 5, the equivalent function is -1/2x - 1

h(x) =  -1/2x - 1

h(5) =  -1/2(5) - 1

h(5) = -5/2-1

h(5) = -7/2

3 0
3 years ago
) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick
Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= \pi (r+\triangle r)^2- \pi r^2

=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]

=\pi [2r\triangle r+(\triangle r)^2]

Since (Δr)² is very small, So it is ignorable.

∴A=2\pi r\triangle r

The density \delta (r)= \frac{40}{1+r^2}

We know,

Mass= Area× density

        =(2r \pi \triangle r)(\frac{40}{1+r^2}})

Total mass M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i

Therefore

\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr

                      =40\pi[ln(1+r^2)]_0^5

                      =40\pi [ln(1+5^2)-ln(1+0^2)]

                     =40\pi ln(26)

                     = 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0
2 years ago
Given the perimeter of a rectangle is 96 meter and the length is twice the width, find the dimensions. Solve algebraically.
barxatty [35]
96 + 96
2(96x2) is the answer
7 0
3 years ago
Read 2 more answers
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