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artcher [175]
3 years ago
5

How can numbers be expressed, ordered, and compared

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0
Compare or order the digits that are different, Write > or <. or use a number line <span>44 < 72<span>
Say:
</span>"44 is less than 72"</span> <span>Or you can look at the place value.</span> <span>You can express using an exponent, an octet and many more</span>
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Find the x-intercepts of the parabola with vertex (5,-12) and y-interdept (0,63). Write your answer in this form: (x1,y1), (x2,V
VLD [36.1K]

The x-intercepts of the parabola are (3, 0) and (7,0)

<h3>How to determine the x-intercept?</h3>

The given parameters are:

Vertex (h, k) = (5, -12)

Point (x, y) = (0, 63)

The equation of a parabola is:

y = a(x - h)^2 + k

Substitute (h, k) = (5, -12)

y = a(x - 5)^2 - 12

Substitute (x, y) = (0, 63)

63 = a(0 - 5)^2 - 12

Evaluate

63 = 25a - 12

Add 12 to both sides

25a = 75

Divide by 26

a = 3

Substitute a = 3 in y = a(x - 5)^2 - 12

y = 3(x - 5)^2 - 12

Set y to 0 to determine the x-intercepts

0 = 3(x - 5)^2 - 12

Add 12 to both sides

3(x - 5)^2 = 12

Divide by 3

(x - 5)^2 = 4

Take the square root of both sides

x - 5 = \pm 2

Add 5 to both sides

x = 5 \pm 2

Expand

x = (5 - 2, 5 + 2)

Evaluate

x = (3, 7)

Hence, the x-intercepts of the parabola are (3, 0) and (7,0)

Read more about parabola at:

brainly.com/question/21685473

#SPJ1

5 0
2 years ago
Seven less than the quotient of a number, x, and twelve is five times the number
Ber [7]
(x/12) -7 = 5x thats it
8 0
3 years ago
Read 2 more answers
Ashirt button has a diameter of 0.61 cm. Which of these is an approximate measurement of the circumference of the button?
Aleonysh [2.5K]

Answer:

1.92cm

Step-by-step explanation:

Circumference of a circle is computed using the formula:

C=2\pi r

Where:

r = radius

π = 3.14

Since the radius is the distance of the center of the circle from any point of the circle and the diameter is the measure of a straight line that goes across the center of the circle from one side to the other, radius is half of a diameter. So the diameter = 2r.

We can then use the diameter to solve for the circumference by using the formula"

C = \pi d

So we just plug in what we know in the formula:

C = \pi d\\\\C = (3.14)(0.61cm)\\\\C = 1.9154cm\cong1.92cm

3 0
3 years ago
What is the result of adding these twice equations? <br><br> 5x-y=6 <br><br> -2x+y=8
LenKa [72]

Answer: 3x=14

X=14/3

y=52/3

Step-by-step explanation:

5x-y-2x+y=6+8

3x=14

X=14/3

Y=8+2x

Y=8+28/3

Y=52/3

6 0
3 years ago
Which runs faster: a cheetah that can run 60 feet in 6 seconds or a gazelle that can run 100 feet in 10 seconds?
bulgar [2K]

Answer:

They run at the same speed

Step-by-step explanation:

First, you have to find a way seeing how fast both animals run in the same amount of time. You can find out how fast they both run in one second.

60 feet in 6 seconds is how many feet in one second? Well, you can do 60/6 (60 divided by 6) and you will see that in one second, the cheetah can run 10 feet

100 feet in 10 seconds is how many feet in one second? Same thing, you can do 100/10 (100 divided by 10) and you will see that the gazelle can run 10 feet in one second.

Finally, you compare the two answers from the two animals. For the cheetah, we learned that it can run 10 feet in one second, and for the gazelle, we learned that it can run 10 feet in one second. So, we know that they run at the same speed.

Thank you! Please let me know if this was helpful!

5 0
3 years ago
Read 2 more answers
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