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mylen [45]
3 years ago
13

Which of the following are characteristics of the graph of the quadratic parent function

Mathematics
2 answers:
Stolb23 [73]3 years ago
8 0

Answer:

D. It is U-shaped

Step-by-step explanation:

The standard form of a quadratic function is y=a*x^{2} +b*x+c . The   graph of quadratic function opens in the direction of the positive y-axis or negative y-axis, it depends on the coefficient of x^{2} in the function.  The  shape of the graph of quadratic function is U shaped, because the greatest power  of the x in the function is 2.

Hence The shape of quadratic function is U-shaped. It is the characteristics of the quadratic parent function.

Bogdan [553]3 years ago
4 0
It would be A. because it intercepts the x-axis and y-axis at (0, 0) and D. because it looks like a u
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Find the sum of the sequence.<br> 39 +40 +41 +42 + ... + 138
Elis [28]

Answer:

Sol1 you can use "first(first+last)/2" is 138(138+1)/2 - 38(38+1)/2 = 8850

Sol2 or you can look this 39+40+41+....+100+(100+1)+(100+2)+....+(100+38) = 1+2+3+.....+99+100+100(38) = 5050+3800 =8850

6 0
3 years ago
Given: ∠ABC is a right angle and ∠DEF is a right angle. Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF. What a
Veseljchak [2.6K]

A. definition of right angle

B. substitution property

C. definition of congruent angles

8 0
4 years ago
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|a|=6 solve please I need help
gregori [183]

a can either b 6 or -6.

a = \pm 6

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3 years ago
Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p
IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

,

• hamburgers: $5.29 (,y,)

He needs 11 packages. Let's write it:

• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}

First, let's isolate x in equation A:

\begin{gathered} x+y=11 \\ x=11-y \end{gathered}

Now, we will replace where's x by 11-y in equation B:

\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\  \\ y=4 \end{gathered}

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

5 0
1 year ago
Which of the following is equivalent to a real number?
Aleksandr-060686 [28]

Answer:

C) -144^¹/₃

Step-by-step explanation:

Having a number to the power of a fraction is the equivalent of rooting by its reciprocal. So, the sixth root, fourth root, cube root, and square root. Only odd roots can have negative answers (∛x, x can be negative; √y, y can not be negative unless we talk about imaginary numbers).

Since we are looking for a real number, C, showing a cube root of a negative number, must be the answer.

4 0
4 years ago
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