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3 years ago

Can someone help me understand how to solve this problem?

Mathematics

1 answer:

son4ous [18]3 years ago

4 0

Answer:

Step-by-step explanation:

Multiply both sides of the equation by 10:

9x²+7x-2=0

Write 7x as a difference:

9x²+ 9x-2x -2 =0

Factor the expression:

9x x (x+1)-2x-2 = 0

9x x (x+1) - 2 (x+1) =0

Then seperate them into possible cases:

(x+1) x (9x-2) = 0

x+1 = 0

9x - 2= 0

The equation has 2 solutions:

x1 = -1

x2 = $\frac{2}{9}$

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Write an inequality A family has less than $200 to spend on groceries. Use x as a variable

diamong [38]

Answer:

$200 > x

Step-by-step explanation:

The family has less than $200 to spend on groceries, so x will be less than that amount, so the "greater than" sign will point to $200 because $200 will be greater than x (see above

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3 years ago

Find the measure of the smaller angle in the figure

Nataliya [291]

You know that the two angles make up a perfectly flat line, which is a 180° angle. So we can create the equation:'

3x + 10 = 12x

Now solve for 'x'. Subtract 3x to both sides:

10 = 9x

Divide 9 to both sides:

x = 10/9

We want to find the smaller angle, so put this value in for 'x' in '3x + 10':

3x + 10

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4 years ago

An invoice quotes a price of $620 subject to discounts of 30%, 15%, and 5%. What is the selling price? (Round off your answer to

Eddi Din [679]

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8 0

3 years ago

77+ 2(3x – 5) = 8 – 3(2x + 1) 78 2 + 3(2 -7) – 0 - 13 I 1).

nika2105 [10]

Answer:

-31/6

Step-by-step explanation:

77+2(3x-5)=8-3(2x+1)

77+6x-10=8-6x-3

77-10+6x=8-3-6x

67+6x=5-6x

67+6x-(-6x)=5

67+6x+6x=5

67+12x=5

12x=5-67

12x=-62

x=-62/12

simplify

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3 years ago

Which of the following is the result of the equation below after completing

ICE Princess25 [194]

Answer:

Step-by-step explanation:

${x}^{2} + 5x + 8 = 4 \\ = > {x}^{2} + 2 \times \frac{5}{2} \times x + \frac{25}{4} + \frac{7}{4} = 4 \\ = > ({x + \frac{5}{2} }^{2} ) + \frac{7}{4} = 4 \\ = > ({x + \frac{5}{2} }^{2} ) = \frac{9}{4}$

6 0

3 years ago