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wlad13 [49]
2 years ago
15

Help please and thank you.

Mathematics
1 answer:
fiasKO [112]2 years ago
7 0

Answer:

b

Step-by-step explanation:

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Write the equation of the function whose graph is shown. y = (x + )2 +
Deffense [45]
Quadratic form is given in the form
y= ax^{2}+bx+c, where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

12= a(8)^{2}+b(8)+c
12=64a+8b+c ... Equation 1

3=a(5)^{2}+b(5)+c
3=25a+5b+c ... Equation 2

Equation 1 - Equation 2 gives
39a+3b=9, we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of x is given by x=- \frac{b}{2a}
Substitute x=5
5=- \frac{b}{2a}
10a=-b
b=-10a ... Equation 4

Substitute Equation 4 into Equation 3
39a+3b=9
39a+3(-10a)=9
39a-30a=9
9a=9
a=1

Now we need to work out the value of b and c

Substitute a=1 back into equation 4
-10a=b
-10(1)=b
b=-10

Substitute a=1 and b=-10 into either equation 1 or equation 2

64a+8b+c=12
64(1)+8(-10)+c=12
64-80+c=12
c=12+80-64
c=28

Hence the equation of the quadratic curve is
y= x^{2} 10x+28


8 0
3 years ago
Read 2 more answers
Consider the expression 8ab+3b+16-4a.
dmitriy555 [2]

Answer:

8 a b - 4 a + 3 b + 16. Simplify: 8 a b - 4 a + 3 b + 16 Answer: 8 a b - 4 a + 3 b + 16

Coefficient is any of the factors with the sign of the term. ... The given algebraic expression has three terms, namely, 4a 4b2c – 3a3b2c and 3/2 ab3c2

Step-by-step explanation:

3 0
2 years ago
HELPPPPPPP!!!!!!!!!!!!!
Sonbull [250]
14.23 is your answer!!!!!!!
4 0
3 years ago
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Deb deposited $70 in a savings account earning 10% interest, compounded annually.
bija089 [108]

Answer:

Deb will have $93.17 in 3 years

Step-by-step explanation:

FV = P(1 + r)^n

FV = 70(1+0.1)^3

FV = 70(1.331)

FV = 93.17

7 0
2 years ago
A container holds 9 red markers, 13 blue markers, and 17 green markers. You will randomly select two markers without replacement
IRISSAK [1]

Answer:

a.

                         R-------8/38--------RR

R------9/39--------B-------13/38-------RB

                          G------17/38--------RG

                          R-------9/38--------BR

B--------13/39------B-------12/38-------BB

                           G-------17/38-------BG

                             R-----9/38--------GR

G---------17/39-------B------13/38-------GB

                              G------16/38-------GG

b).

  • 9 ways
  • ways you can select 1 blue are; RB,BR,BG,GB

RB=9/39 × 13/38=3/38

BR= 13/39 × 9/38 =3/38

BG= 13/39 × 17/38=17/114

GB= 17/39 × 13/38=17/114

=3/38 +3/38+17/114+ 17/114 =26/57

  • Probability of selecting 2 red markers= RR = 9/39 × 8/38 =12/247

  • Probability of selecting a green marker and then a red marker= GR= 17/39×9/38 =51/494

8 0
3 years ago
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