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KiRa [710]
2 years ago
14

Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadratic formula bel

ow?
Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Mathematics
2 answers:
neonofarm [45]2 years ago
8 0

Answer:

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^2+bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^2-4ac} }{2a}

in this problem we have

4x^2 + 2x - 1=0

so

a=4

b=2

c=-1

substitute in the formula

x=\frac{-2(+/-)\sqrt{2^2-4(4)(-1)} }{2(4)}

therefore

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

Svet_ta [14]2 years ago
5 0

Answer:

Its a

Step-by-step explanation:

No need to read all that lol

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What number would you add to both sides of x2 + 7x = 4 to complete the square?
tamaranim1 [39]

Answer: (7/2)^2

Step-by-step explanation:

5 0
3 years ago
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Eli wanted to order candy online. Company A is offering 2 1/2 pounds of chocolate for $32.00. How much is Company A charging per
Komok [63]

Answer:

Therefore, Company B is offering the lowest price/lb at $12.73/lb.

So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb

Step-by-step explanation:

To determine price per lb, divide dollar amount by lbs.

- Company A sells 2 1/2lbs (2.5lbs) for $32.50

- Company B sells 2 3/4lbs (2.75lbs) for $35.00

And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb

8 0
3 years ago
Find the midpoint of the line segment joining the points r(1,4) s(-3,7)
skad [1K]
Formula for mid point.
(x1/2+x2/2 , y1/2+ y2/2)

Mid point=
(1/2+ (-3)/2 , 4/2+ 7/2)
(-2/2 , 11/2)
(-1, 5.5)
5 0
3 years ago
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Lainey is sliding down a water slide that is 420 feet long at a rate of 42 feet per second. How long will it take Lainey to trav
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Answer:

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Step-by-step explanation:

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It took Lainey 10 seconds.

3 0
3 years ago
Given a term and the common difference, find the explicit formula.<br> 8. a(19) = 135<br> d = 15
Rasek [7]

The explicit formula is a(n) = 15(n – 10)

<u>Solution:</u>

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)  

\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}

Now, we know that, an explicit formula is an expression for finding the nth term,  

So, in our problem, expression for finding nth term is a + (n – 1)d  

\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}

Hence, the explicit formula is a(n) = 15(n – 10).

7 0
3 years ago
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