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kompoz [17]
3 years ago
5

What are the solutions to x^2 + 8x + 7 = 0

Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0
So to solve this you need to reverse factor this problem

x^2 + 8x + 7 = 0

The common formula is this for factoring ax^2 + bx + c

Now you have to think what multplties to "c" and adds up to "b".

So in this case it's 7 x 1 = 7 and 7 + 1 = 8

So you set it up like this

(x + 7)(x + 1) = 0

So now you can check the factors by multiplying them together and see if it gets your original equation which is does.

So finally to get the answers you need to set each parenthesis to 0 and solve for x.

x + 7 = 0

x + 1 = 0

and we get x = -1 and - 7

You can also plug these two answers back into your original equation to see if it equals 0.

If you have any questions please feel free to comment

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#3 The sales tax on a $20 shirt was 9%.
saveliy_v [14]

Answer:

Step-by-step explanation:

sales tax on the shirt= 20(0.09)=1.8 dollars

total cost with sales tax =20+20(0.09)=21.8$

3 0
3 years ago
The scale factor for a model is 5cm= m model: 9.5cm actual : 30.5m
MaRussiya [10]

We are given dimensions of model and actual figure.

model: 9.5cm actual : 30.5m.

We need to find the length of actual shape for the scale factor 5cm.

Let us assume actual length be x m.

Let us set a proportion now.

<h3>5 : x = 9.5 : 30.5</h3>

Let us convert proportion into fractions.

\frac{5}{x}=\frac{9.5}{30.5}

On cross multiplying, we get

9.5x = 5× 30.5

9.5x = 152.5.

On dividing both sides by 9.5, we get

\frac{9.5x}{9.5}=\frac{152.5}{9.5}

x=16.05.

<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>

6 0
3 years ago
Astrid is looking for a job at a call center. Call center A offers her 15 dollars per hour and call center B offers her 25 cents
KIM [24]

Call center A and B offers equal wages.

<h3>what is Equation?</h3>

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The formula for wages = P/t

First, P= 15 dollars

           = 1500 cents

time= 1 hour= 60 minutes

then, the unit rate is

=1500/60

= 25 cents/ min

Second, P= 25 cents

       

time= 1 minutes

then, the unit rate is

=25/1

= 25 cents/ min

Hence, Call center A and B offers equal wages.

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

6 0
1 year ago
This week, Sarah spent a total of 120 minutes studying. This total was 20 more
MrMuchimi

Answer:

She spent 25 minutes studying last week

Step-by-step explanation:

L = last week

120 = 4L + 20

Subtract 20 from either side

100 = 4L

Divde either side by 4

25 = L

4 0
3 years ago
HELP ASAP! 30 POINTS!
inn [45]

Answer:

2400=2w*w

The length is equal to 2 times the width and you have to multiply the length by the width to get the area.

8 0
2 years ago
Read 2 more answers
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