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marta [7]
3 years ago
12

Solve each quadratic equation. a) 2(x + 5) (2x - 3) = 0

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

{4x}^{2}  + 14x - 30 \\

Step-by-step explanation:

2(x + 5)(2x - 3)\\ (2x + 10)(2x - 3)\\ 2x(2x - 3) + 10(2x - 3)\\ 4 {x}^{2}  - 6x + 20x - 30\\  {4x}^{2}  + 14x - 30\\

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If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y whenx is 112
sertanlavr [38]

The expression that can be used to find the value of y when x is 112 is

y= 3.6*112

Step-by-step explanation:

We are given that y varies directly with x, and y=18 when x = 5.

We need to find the expression used to find the value of y when x = 112

When y varies with x, it means:

y ∝ x

y= k x

where k is constant of proportionality.

if y= 18 and x = 5, then finding k:

y = k x

18= k*5

k= 18/5

k= 3.6

So, value of k is: 3.6

Finding expression for y when x = 112

y= k x

k= 3.6 and y = 112

y= 3.6*112

So, the expression that can be used to find the value of y when x is 112 is

y= 3.6*112

Keywords: Direct Variation

Learn more about Direct Variation at:

  • brainly.com/question/10708697
  • brainly.com/question/2495851

#learnwithBrainly

3 0
4 years ago
A phone company advertises a new plan in which the customer pays a fixed amount of $25 per month for unlimited calls in the coun
VLD [36.1K]

Answer:

If a customer paid 100$ they used 750 international call minutes.

Step-by-step explanation:

If you are already paying 25 dollars that means you are paying 75 extra for international call minutes. With one minute being $0.10 that means 10 minutes is a dollar. From there you can multiply your dollar for 10 minutes by 75 which now adds 75 dollars which means we used 750 minutes. (This is my first time answering good luck :)

8 0
3 years ago
Read 2 more answers
NO LINKS OR ANSWERING WHAT YOU DON'T KNOW. THIS NOT A TEST OR AN ASSESSMENT. PLEASE HELP ME WITH THESE MATH QUESTIONS FOR AN ASS
liberstina [14]

Answer:

1.

<u>An extraneous solution is a root of a transformed equation that is not a root of the original equation as it was excluded from the domain of the original equation.</u>

It emerges from the process of solving the problem as a equation.

2.I begin like:

The vertical asymptotes will occur at those values of x for which the denominator is equal to zero:

for example:

x² − 4=0

x²= 4

doing square root on both side

x = ±2

Thus, the graph will have vertical asymptotes at x = 2 and x = −2.

To find the horizontal asymptote, the degree of the numerator is one and the degree of the denominator is two.

8 0
3 years ago
Instructions: Fill in the last step of solving the quadratic equation by factoring. 3x2−2x−5=0 Step 1: Rewrite middle term. 3x2−
vredina [299]

Answer:

x = (5/3)

x = -1

Step-by-step explanation:

3x^2 -2x - 5 =0\\\\(3x^2+3x) + (-5x - 5) = 0\\\\(3x-5)(x+1)=0\\\\\left \{ {{3x-5=0} \atop {x+1=0}} \right.\\\\===========\\\\3x - 5 = 0\\\\3x - 5 + 5 = 0 + 5\\\\3x = 5\\\\\frac{3x=5}{3}\\\\x = \frac{5}{3}\\\\===========\\\\x + 1 = 0\\\\x + 1 - 1 = 0 - 1\\\\x = -1 \\\\===========\\\\\boxed{\text{Therefore:}}\\\\\boxed{ x = \frac{5}{3} \text { or } x = -1}

You would just need to solve the two equations from step three for 'x'.

Hope this helps you.

5 0
3 years ago
A _____ is the amount you pay for the purchase of a house that decreases the amount of the loan.
tatyana61 [14]
A) down payment .....
4 0
3 years ago
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