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Vera_Pavlovna [14]
4 years ago
6

Help me

Mathematics
1 answer:
Aliun [14]4 years ago
6 0

Answer:

2 Real Roots

Step-by-step explanation:

The discriminant (D) is found using the formula b^2+4ac for the equation ax^2+bx+c.

If D>0 there are two real roots, D=0 one real root and D<0 no real roots.

D = b^2+4ac

D =  10^2+4(-4)(-8)

D = 100+32*4

D = 100+128

D =  228

since 228>0

There are 2 real roots

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Polly buys 14 cupcakes for a party. The bakery puts them into boxes that hold 4 cupcakes each.
Temka [501]

Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is \frac{1}{2}

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

so

\frac{14}{4}=3.5\ box

Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

14-3(4)=2\ cupcakes

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

\frac{2}{4}=\frac{1}{2}

Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

The last box has 2 cupcakes

The cupcake capacity of the box is 4

so

4-2=2\ cupcakes

therefore

Are needed 2 cupcakes to fill the last box

8 0
3 years ago
What is 4(5+3) pls what is it
frutty [35]

Answer:

is 32

hope that helps!

8 0
3 years ago
Which number is irrational? explain why?<br> a) -(9) b) 4.0005<br> c)2.17 d) (40)
ahrayia [7]

Answer:

√40 is an irrational number

Step-by-step explanation:

"An irrational number is a real number that cannot be expressed as a ratio of integers, for example, √ 2 is an irrational number."

7 0
3 years ago
Tan 45°. tan² 30° tan 60° <br>slove it​
makvit [3.9K]

Answer:

\frac{\sqrt{3} }{3} or \frac{1}{\sqrt{3} }

Step-by-step explanation:

We can break the problem into three parts,

tan45 = sin(45)/cos(45)=\frac{\frac{\sqrt{2}}{2} }{\frac{\sqrt{2}}{2} } =1

tan^{2}30 =(tan30))^{2}=(sin30/cos30)^2=((1/2)/(\sqrt{3}/2))^2 =(1/\sqrt{3})^2

tan60=sin60/cos60=\frac{\sqrt{3}/2 }{1/2} =\sqrt{3}

Then, tan45*tan^230*tan60=1*(1/sqrt(3))^2*sqrt(3)=1/sqrt(3)=sqrt(3)/3

Therefore, the solution is sqrt(3)/3

4 0
2 years ago
On a number line, where is the sum (-2) + (-3) located?
Ede4ka [16]

Answer: -5

Step-by-step explanation: -2 -3 = -5

4 0
3 years ago
Read 2 more answers
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