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Contact [7]
3 years ago
11

The table shows some ordered pairs that belong to the quadratic function h.

Mathematics
1 answer:
erastova [34]3 years ago
6 0

Answer:

C. Are all real numbers greater than or equal to -8.

Step-by-step explanation:

Real numbers can be said to be all continuous values of quantity, which can be negative or positive values.

The range of h, h(x), in the table given are all real numbers.

The least of the range of h on the table is -8. All the other range values, namely, -7, 1, 17, and 41 are all greater than -8. None is less than -8.

Therefore, we can conclude that the range values of h "are all real numbers greater than or equal to -8".

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FOLLOW DIRECTIONS PLEASE! WILL MARK BRAINLIEST! MORE QUESTIONS TO COME!
Rom4ik [11]

A) part of it is decreasing, part of it is increasing.  

Going left-to-right, the downhill/negative slope is the decreasing portion (x<-1) and the uphill/positive slope is the increasing portion (x>-1).  

B) The x-intercepts are the points where the graph intersects the x-axis: (2,0) and (-4,0).

C: The y-intercept is the point where the graph intersects the y-axis: (0,-2).

D: There is no absolute maximum.  The graph keeps going up forever.

E: The absolute minimum <u>point</u> is at that bottom, at (-1, -3).  The absolute minimum <u>value</u> is -3, since that's the lowest y-value used.

7 0
3 years ago
Please answer it now in two minutes
oksano4ka [1.4K]

Answer:

3.9

Step-by-step explanation:

Pythagorean theorem:

a^2 + b^2 = c^2

a^2 + 1^2 = 4^2

a^2 + 1 = 16

a^2 = 15

a = sqrt(15)

a = 3.9

Answer a = 3.9 yards

3 0
3 years ago
Read 2 more answers
A statement and portions of the flowchart proof of the statement are shown.
Sedaia [141]

In box 1, the reason that justifies the statement, m∠BAD = m∠BAC + m∠CAD, is: angle addition postulate.

<h3>What is the Angle Addition Postulate?</h3>

The angle addition postulate states that the measure of a larger angle equals the sum of smaller angles that make up the larger angle.

∠BAD comprises of ∠BAC and ∠CAD.

Therefore, based on the angle addition postulate, m∠BAD = m∠BAC + m∠CAD.

The missing reason in box 1 would be: angle addition postulate.

Learn more about angle addition postulate on:

brainly.com/question/24782727

#SPJ5

8 0
2 years ago
Read 2 more answers
Write y = x2 + 24x + 144 as a square of binomial.
irina1246 [14]

Answer:

y=(x+12)^2\\

Step-by-step explanation:

To write a quadratic equation into binomial form we can compare the equation into the completing square form of a quadratic equation like this ,

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

now since,

y=x^2+24x+144

we can equate both the equations from left hand side to right hand side like this,

x^2+24x+144=a(x-h)^2+k\\

now we solve,

x^2+24x+144=a(x-h)^2+k\\x^2+24x+144=a((x)^2-2(x)(h)+(h)^2)+k\\x^2+24x+144=a(x^2-2hx+h^2)+k\\x^2+24x+144=ax^2-2ahx+ah^2+k\\

now we compare the coefficients of x^2:

1 = a\\

now we compare the coefficients of x :

24=-2ah\\24=-2(1)h\\24=-2h\\\frac{24}{-2}=h\\-12=h\\

now we compare the constants , (constants are the letters which are not associated with any variable in this case the variable is x)

144 = ah^2+k\\144=(1)(-12)^2+k\\144=(1)(144)+k\\144=144+k\\144-144=k\\0=k\\

so now the value we got all the values for the completing square form we plug those in , a = 1 , h = -12 , k = 0 ,

y=a(x-h)^2+k\\y=1(x-(-12))^2+0\\y=(x+12)^2\\

this is the square of a binomial, if you want to verify if we expands this formula by the formula of (a + b)^2 we would get the same result. Thus this is the correct answer.

5 0
3 years ago
The Todd family plans to start a small business. Mr. Todd borrows $10,000 from the blank at an annual interest rate 8%for 36 mon
Ede4ka [16]

Answer: They will end up paying $2,400.

Step-by-step explanation:

Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.

This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)

The Todd family will pay $2,400 in interest by the end of the period.

5 0
3 years ago
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