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azamat
3 years ago
15

Determine the intercepts of the line

Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

y-intercept:  (0,5); x-intercept:  (5/2, 0)

Step-by-step explanation:

The equation of the line is given:  -4x + 7 = 2y - 3.

To find the x-intercept, set y = 0 and solve for x:

-4x + 7 = 0 - 3.  This becomes -4x = -10, or x = 5/2.  The x-intercept is (5/2, 0).

To find the y-inercept, set x = 0 and solve for y:

0 + 7 = 2y - 3, or 2y = 10, or y = 5.  Then the y-intercept is (0, 5).

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A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in th
Vesna [10]

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope.  Because this is parabolic, we cannot find the exact rate of change as we could if this were a linear function.  But we can use the same idea.  When t = 3, h(t) = 33, so the coordinate point is (3, 33).  When t = 6, h(t) = 0, so the coordinate is (6, 0).  Plug those values into the slope formula:

m=\frac{0-33}{6-3} and

m=\frac{-33}{3} which is -11

From 3 to 6 seconds, the rocket is falling 11 yards per second.

8 0
3 years ago
Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to f
Angelina_Jolie [31]

Answer:

P(z>1.51) =1-P(Z

And i fwe look into the normalstandar dtable we can find the desired probability:

P(z>1.51) =1-P(Z

And then the The area to the right of z = 1.51 is 0.0655

Step-by-step explanation:

For this case we want to find the following probability:

P(z>1.51)

And for this case we can use the normal standard distribution and the complement rule and we have this:

P(z>1.51) =1-P(Z

And i fwe look into the normalstandar dtable we can find the desired probability:

P(z>1.51) =1-P(Z

And then the The area to the right of z = 1.51 is 0.0655

7 0
3 years ago
a rectangular prism has a volume of 300 cm squared if the scale factor of the second rectangular prism is 3.5 what is the volume
velikii [3]
Volume of rectangular prism= 30 cm³
Formula for volume of rectangular prism:
V=whl
Scale factor of second prism= 3.5 
Which is 3 and a half times greater than the 1st one.
So volume of 2nd prism = 3. 5 x 300 
V= 1050 cm³

Answer: Volume of second Rectangular Prism is 1050 cm³
6 0
3 years ago
-8=-(x+4) i need help with this problem!!
kozerog [31]

X=4

You have to distribute the negative sign for everything in the parentheses. After that you add x to the other side then add 8 to the opposite side to move them. Then your answer is 4.

5 0
3 years ago
Can someone help with this please
Roman55 [17]
The scale is that 3 the force is going on a colicky of 350
8 0
3 years ago
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