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Romashka [77]
3 years ago
10

If y = 87.5, what is the value for x? 300x + 300 x plus StartFraction 500 over 7 EndFraction y equals 10,000.Y = 10,000 300x + 3

00 x plus StartFraction 500 Over 7 EndFraction y equals 10,000.(87.5) = 10,000 300x + 6,250 = 10,000
Mathematics
1 answer:
erastova [34]3 years ago
6 0

Answer:

x =12.5

Step-by-step explanation:

Given

300x + \frac{500}{7}y =10000

y = 87.5

Required

Find x

Substitute y = 87.5 in 300x + \frac{500}{7}y =10000

300x + \frac{500}{7}*87.5 =10000

300x + 500*12.5 =10000

300x + 6250=10000

Collect like terms

300x =10000-6250

300x =3750

Divide by 300

x =12.5

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Use the quadratic formula to solve x2 + 2x - 120 = 0. Think about what other method could also be used to solve this equation. a
pshichka [43]

Answer:

x = 10 , -12

Step-by-step explanation:

Solution:-

- The given quadratic equation is to be solved using the quadratic formula. The general form of a quadratic equation is:

                           ax^2 + bx + c =0  

Where, [ a , b and c are constants ]

- The quadratic formula is given as:

                       

                           x = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a}

- The given equation is:

                             x^2 + 2x - 120 = 0

Where, a = 1 , b = 2 , c = -120

- Solve using quadratic formula:

                       x = \frac{-2+/-\sqrt{2^2 - 4*1*(-120)} }{2*1}\\\\x = \frac{-2+/-\sqrt{4 + 480} }{2}\\\\x = \frac{-2+/-(22) }{2}\\\\\\x = 10 , -12    

7 0
3 years ago
ive been stuck on this question for a while :( i was absent for the first half of this lesson so i dont completely know what im
Deffense [45]

Answer:

(0, 9 ) and (- 4, 1 )

Step-by-step explanation:

To determine which ordered pairs lie on the graph substitute the x- coordinate of the point into the right side of the equation and compare the value obtained with the y- coordinate

(- 20, - 49 )

2x + 9 = (2 × - 20) + 9 = - 40 + 9 = - 31 ≠ - 49

(1, 10 )

2x + 9 = (2 × 1) + 9 = 2 + 9 = 11 ≠ 10

(0, 9 )

2x + 9 = (2 × 0) + 9 = 0 + 9 = 9 ← point lies on graph

(- 4, 1 )

2x + 9 = (2 × - 4) + 9 = - 8 + 9 = 1 ← point lies on graph

(- 3, 40 )

2x + 9 = ( 2 × - 3) + 9 = - 6 + 9 = 3 ≠ 40

5 0
3 years ago
Check my answer?
Effectus [21]
D = 2r => 12.6 = 2*r => r=6.3
A = π*r^2 = (3.14) * (6.3)^2 = (3.14)*(39.69) = 124.6266 which is approximately 124.63

Hope this helps!
6 0
3 years ago
Read 2 more answers
What is the general form of the equation of the line shown?
ZanzabumX [31]

Check the picture below.  So let's use those two points on the line.

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-0}{3-0}\implies \cfrac{3}{3}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=1(x-0)\implies y=x \\\\\\ -x+y=0\implies \stackrel{\textit{standard form}}{x-y=0}

bearing in mind that the standard form is also a general form.

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

5 0
4 years ago
Read 2 more answers
Identify the vertex of the function, fx) = 3(x - 1)2 + 5.
madam [21]

Answer:

fx) = 3x+4

Step-by-step explanation:

1. step:

solve the bracket

fx) = 3(x - 1) 2 + 5

fx) = 3x-1+2+5

2. step:

use the BEDMAS form.

fx) = 3x-3+7

fx) = 3x+4

8 0
3 years ago
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