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miskamm [114]
3 years ago
11

Ann believes that y= 3x (x -7) is a quadratic function. Jordan says that she is wrong because the degree (highest exponent) is n

ot 2. Who is correct? Explain why.
Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

Ann us correct. It's a quadratic function.

Step-by-step explanation:

Given equation is,

y = 3x(x - 7)

By converting this equation into the standard quadratic equation,

y = 3x² - 21x

Highest exponent of the polynomial equation is 2 (Exponent of highest degree variable x²). This decides that the given function is a quadratic function.

Therefore, Ann is correct. It's a quadratic function.

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Help !! Please I can’t find the answer
SVETLANKA909090 [29]

Answer:

\large\boxed{r^2=(x+5)^2+(y-4)^2}

Step-by-step explanation:

The equation of a circle:

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

<em>(h, k)</em><em> - center</em>

<em>r</em><em> - radius</em>

<em />

We have diameter endpoints.

Half the length of the diameter is the length of the radius.

The center of the diameter is the center of the circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the given points (-8, 2) and (-2, 6):

d=\sqrt{(6-2)^2+(-2-(-8))^2}=\sqrt{4^2+6^2}=\sqrt{16+36}=\sqrt{52}

The radius:

r=\dfrac{d}{2}\to r=\dfrac{\sqrt{52}}{2}

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

Substitute:

x=\dfrac{-8+(-2)}{2}=\dfrac{-10}{2}=-5\\\\y=\dfrac{2+6}{2}=\dfrac{8}{2}=4

(-5,\ 4)\to h=-5,\ k=4

Finally:

(x-(-5))^2+(y-4)^2=\left(\dfrac{\sqrt{52}}{2}\right)^2\\\\(x+5)^2+(y-4)^2=\dfrac{52}{4}\\\\(x+5)^2+(y-4)^2=13

5 0
3 years ago
Solve for x PLEASE HELP
AveGali [126]

Answer:

x= 5

Step-by-step explanation:

11^3 • 11^2 = 11^5

hope this helped :)

4 0
2 years ago
Read 2 more answers
Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much
Vilka [71]

Answer:

Step-by-step explanation:

Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?

3 0
3 years ago
Does the following infinite series have a sum or not and does it converge or diverge?
iren [92.7K]

Answer:

Step-by-step explanation:

Please present these numbers as a list:  7, -21, 63, -189, ....

Otherwise it appears that you are adding them up, which is not the case.

We can tell that this is a geometric series because each new number is -3 times the previous number:  -3(7) = -21, -3(-21) = 63, and so on.  Let r = -3 and a = first number = 7.

                                                                                                       a

The sum of an infinite geometric series exists if and only if |r} < 1.  Here, |-3|, or 3, so in this case the sum of the series does not exist.  That is, the series diverges.

3 0
2 years ago
Julie wants to make handmade Valentine's she buys 1/2 yard of red ribbon and 3/4 yard of pink if each Valentine's 1/8 yards how
GuDViN [60]

Answer:

She can make 4 Red Cards and 6 Pink Cards


Step-by-step explanation:


<u>You need to find a common denominator</u>

So if you have 1/2 a yard of red ribbon and you need 1/8 yards of ribbon to make a card - You would do 1/2 times 4 (1x4=4 || 4x2=) = 4/8

And the same for the Red Ribbon

3/4 - (3x2=6 || 4x2=8) = 6/8

6 0
3 years ago
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