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podryga [215]
3 years ago
14

Joyce is trying to solve the equation y = x2 − 8x + 7 using the quadratic formula. She has made an error in one of the steps bel

ow. Find the step where Joyce went wrong.
Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0

Answer:

x = 1 , 7

Step-by-step explanation:

Solution:-

- The given equation is as follows:

                          y = x^2 - 8x + 7

- We can solve the above equation by either making factors or by using Quadratic formula.

Factor Approach:

- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".

- So the only factor of "7" are:

                        7 x 1 = 7

                       -7 x -1 = 7

- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":

                       x^2 -x -7x + 7 = 0

- Take common multiples out of pair of two terms:

                        x*(x-1) -7*(x-1) = 0

                        (x-7)*(x-1) = 0

- So we equate each term in bracket with "0" and evaluate the values of x:

                        (x-7) = 0  , x = 7

                        (x-1) = 0   , x = 1

- So the solution to the quadratic equation is:

                        x = 1 , 7

               

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A recipe calls for 212 cups of flour to make 2 dozen cookies. How many cups of flour would be required to bake 15 dozen cookies.
NikAS [45]

Answer:

18 3/4 cups are required to bake 15 dozen of cookies.

Step-by-step explanation:

x = 75/4

x = 18 3/4 cups

18 3/4 cups are required to bake 15 dozen of cookies.

4 0
3 years ago
Find the values of p and q such that<br> 2x² - 4x + 3 = 2(x- p) +9
kari74 [83]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Jenna and Becca were both selling cookies door to door. Jenna sold 8 boxes of cookies for every 3 boxes of cookies Becca sold. C
LenaWriter [7]
Answer:
Jenna sold 280 boxes, Becca sold 105 boxes.

Step-by-step explanation:
For every 3 boxes B sold, J sold 8 boxes and ended with a total of 385 boxes sold.
3b+8j=385
From how the question is asked, we can assume that each round of sales would equal 11 total sales. (3b+8j=11)
Knowing the sales take place in intervals of 11, we can solve the problem by doing 385/11.
385/11=35
Finally, with 35 rounds of sales happening and knowing Jenna sells 8 while Becca sells 3 at each one, all that's left to do is multiply.
8x35=280
3x35=105
To be sure we can check our answer by adding them together, 280+105=385.
4 0
1 year ago
Solve T=C(5+ AB) for B.
Vaselesa [24]

Answer:

b =  \frac{t - 5}{a}

Step-by-step explanation:

t = c(5 + ab)

Simplify:

t = 5c + abc

Move 5c to the other side:

t - 5c = abc

Divide bother sides with AC:

\frac{t - 5c}{ac}  =  \frac{abc}{ac}

Simplify:

\frac{t - 5}{a}  = b

If this answer helped you, give this answer a heart, rate it and if you could then please mark it brainliest. Thanks!

8 0
1 year ago
Solve: 3^x-1=g^x-2<br><br> 2<br> 1<br> -3<br> -5
Leno4ka [110]
I think it would be 2
7 0
3 years ago
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