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qaws [65]
3 years ago
13

What is the sum of the solutions to (x − 6)(x + 0.7) = 0 ?

Mathematics
2 answers:
Nonamiya [84]3 years ago
5 0

Answer:

5.3

Step-by-step explanation:

(x − 6)(x + 0.7) = 0

using the zero product property

x-6=0   x+.7 =0

x-6+6 = 0+6       x+.7 -.7 = 0-.7

x = 6                   x= -.7

sum of the solutions

6+-.7 = 5.3

uysha [10]3 years ago
5 0

Answer:

5.3\\

Step-by-step explanation:

The solutions of the given equations are

(x - 6)(x + 0.7) = 0\\\\\\x - 6 = 0 ; x = 6\\x + 0.7 = 0; x = -0.7\\x = 6, 0.7\\

Difference between the two solutions of the equation is

= 6 - (0.7)\\= 5.3\\

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1/5x + 4 =1/3x-8 <br> Can you show your work too? That would be great
Vikentia [17]

Answer:

90

Step-by-step explanation:

1/5x+4=1/3x-8

add 8 to both sides and subtract 1/5x from both sides

4+8=1/3x-1/5x

12=5/15x-3/15x

12=2/15x

divide both sides by 2/15

12÷2/15=x

when dividing by a fraction, invert and multiply

12*15/2=x

90=x

CHECK:

1/5(90)+4=1/3(90)-8

18+4=30-8

22=22

5 0
3 years ago
1.11(5) - 11(4) =
Natali5045456 [20]

Answer:

1) 11

2) -8

3) 30

15) 80x - 128

16) 138y

Step-by-step explanation:

For these problems, you will need to use either PEMDAS or distributive property.

PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.

Example of PEMDAS:

2) 8(-3 + 2)

Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.

-3 + 2 = -1 so the problem will now look like:

8 (-1)

Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:

8 × -1 = -8

-8

Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.

Example of distributive property:

2) 8(-3 + 2)

Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:

8 × -3 and 8 × 2

The problem should look like:

-24 + 16

Then solve:

-8

Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.

1)

11(5) - 11(4)

55 - 44

11

3)

6(9) - 4(6)

54 - 24

30

15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*

16(5x - 8)

80x - 128

*You can only combine like terms so this is fully simplified*

16)

23y(2 + 4)

46y + 92y

138y

5 0
3 years ago
AHHHH please help answer and I’ll give you points
german

Answer: Yes She is correct

Step-by-step explanation:

4 0
3 years ago
Please help<br><br> Right triangles and trigonometry quiz two on Khan Academy
Sedbober [7]

Answer:

AC = 2.44

Step-by-step explanation:

Reference angle = 26°

Opposite side = AC = ?

Adjacent side = BC = 5

Applying TOA, we have:

Tan 26 = opp/adj

Tan 26 = AC/5

multiply both sides by 5

Tan 26 × 5 = AC

AC = 2.44 (nearest hundredth)

8 0
3 years ago
Steffen graphed two lines in order to find the solution to a given system of equations. What is the solution?
Pavlova-9 [17]

check the picture below.

7 0
3 years ago
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