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2 years ago

The graph of the function y=x2 + 5x + 6 has a A) Downward B) Upward

Mathematics

2 answers:

hjlf2 years ago

8 0

Answer:

Step-by-step explanation:

Given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 )

• If a > 0 then the graph opens upwards

• If a < 0 then the graph opens downwards

y = x² + 5x + 6 ← is in standard form

with a = 1 > 0

The graph therefore opens upward

Zielflug [23.3K]2 years ago

5 0

on differentiating,

$\frac{dy}{dx} = 2x + 5$

on 2nd differentiating,

$\frac{ {d}^{2}y }{ {dx}^{2} } = 2$

since it's positive it's minimum and that means it points upwards.

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Each sister bought a gift for their mom. Maggie spent 3 times as much as Karen. Karen spent half as much as Jasmine. Altogether,

snow_tiger [21]

Answer:

Maggie spent =30

Karen spent = 10

Jasmine spent =20

Step-by-step explanation:

In this we use algebra to solve.we give the sisters unknowns, to help us solve the equation.

we dont know how much jasmine used so we give her the unknown x.you can use any letter but ill us x.

karen used half as much as karen so we give her 1/2x because it was half of jasmine.maggie used 3 times that of karen so w give her 3(1/2x).

maggie =3(1/2x)

Karen =1/2x

jasmine =x

3(1/2x) + 1/2x + x = 60

3/2x + 1/2x + x = 60

2x + x = 60

3x=60

x=20

where we have x =we replace with 20

e.g karen 1/2x => 1/2 x 20 =10

if you need any clarifications please do tell me in the comment section.i would like to help more if you need help.thx

Hope this helps and if it does mark as branliest anwer thx

6 0

3 years ago

4 3/4 divided by 1 1/6

ozzi

Answer:

$2\frac{13}{22}$

Step-by-step explanation:

$=\frac{19}{4}\div \frac{11}{6}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{19}{4}\times \frac{6}{11}$

$=\frac{19}{2}\times \frac{3}{11}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{19\times \:3}{2\times \:11}$

$\mathrm{Multiply\:the\:numbers:}\:19\times \:3=57$

$=\frac{57}{2\times \:11}$

$\mathrm{Multiply\:the\:numbers:}\:2\times \:11=22$

$=\frac{57}{22}$

$=2\frac{13}{22}$

5 0

2 years ago

George bought 7.5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did Geo

Ilya [14]

In order to get the answer to this problem, first we have to find out how many pounds does one case of pancake mix have. We know that one box has 1.3 pounds of pancake mix. We also know that one case has 12 boxes. So first, we multiply 1.3 to 12. The answer we will get is 15.6. One case of pancake mix has a total of 15.6 pounds of pancake mix. Now we also know there are 7.5 cases that George bought. So in order to get the total pounds George bought, we multiply 15.6 to 7.5. So all in all, George bought 117 pounds of Pancake Mix.

8 0

3 years ago

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Please help! Find the surface area!

lesya692 [45]

both the surface areas of the green and blue figures?

3 0

3 years ago

I dont know how to find the answer

sleet_krkn [62]

Answer:

a rotation followed by a translation

Step-by-step explanation:

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2 years ago