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3 years ago

What are the square roots of 64? A) 0, 8 B) 2, 32 C) 4, 16 D) 8, -8

Mathematics

1 answer:

olga2289 [7]3 years ago

8 0

Answer:

D) 8, -8

Step-by-step explanation:

To find the square root of 64, we need to determine what number times itself equal 64

8*8 = 64

-8*-8 = 64

The answer is 8 and -8

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Consider the function f(x)=15x^2+60x-19 <br> Name the vertex for the function

Assoli18 [71]

The vertex for this function would be (-2,-79)

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Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1? f(x) = (x – 2i)(x – 3i) f(x) =

kykrilka [37]

Answer:

$P(x)=(x-2i)(x-3i)$

Step-by-step explanation:

Build a Polynomial Knowing its Roots

If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:

$P(x)=a(x-x1)(x-x2)...(x-xn)$

Where a is the leading coefficient.

Note the roots appear with their signs changed in the polynomial.

If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:

$P(x)=1(x-2i)(x-3i)$

$\mathbf{P(x)=(x-2i)(x-3i)}$

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When the outliers are removed, how does the mean change? (2 points) dot plot with 1 on 50, 1 on 76, 1 on 78, 2 on 79, 1 on 80, 1

777dan777 [17]

Answer:

Answer: The mean increases by 3

Step-by-step explanation:

The original data set is

{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}

The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.

The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77

If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80

So in summary so far

old mean = M = 77

new mean = N = 80

The difference in values is N-M = 80-77 = 3

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3 years ago

For 30 minutes you do a combination of walking and jogging At the end of your workout your screen displays 2.5 miles you know th

tigry1 [53]

Let the time spent in walking = x minutes

And the time spent in jogging = y minutes

If I walk with the speed = 0.05 miles per minute

Distance covered in walking = Speed × Time

= 0.05x miles

If I jog with the speed = 0.1 miles per minute

Distance covered in jogging = Speed × Time

= 0.1y miles

Since, screen displays the distance covered in walking and jogging = 2.5 miles

Equation for the situation will be,

0.05x + 0.1y = 2.5

5x + 10y = 250

x + 2y = 50 -------(1)

Total time spent in walking and jogging = 30 minutes

Therefore, equation for the situation will be,

x + y = 30 ----- (2)

By subtracting equation (2) from equation (1),

(x + 2y) - (x + y) = 50 - 30

y = 20 minutes

By substituting the value of y in equation (2),

x + 20 = 30

x = 10 minutes

Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.

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