For questions 1 - 6, solve each quadratic equation.
1. (x + 5)(x - 2) = 0
2. (3x - 1)(2x + 5) = 0
3. x^2-3x -4 = 0
4.2x^2 -5x - 3 = 0
5. x^2 - 16 = 0
6.9x^2 - 25 = 0

Answers

Answer 1

Answer:

1. -5

2. 1/3 (1 third)

3. -3

4. -1\2 (negative one and a half)

5.-4

6. 1.66666

Step-by-step explanation:

1.  Let's solve your equation step-by-step. ( x + 5 ) ( x − 2 ) = 0 Step 1: Simplify both sides of the equation. x 2 + 3 x − 10 = 0 Step 2: Factor left side of equation. ( x − 2 ) ( x + 5 ) = 0 Step 3: Set factors equal to 0. x − 2 = 0 or x + 5 = 0 x = 2 or x = − 5.        <—— this is for the first explanation

2. Step 1: Simplify both sides of the equation. 6 x 2 + 13 x − 5 = 0 Step 2: Factor left side of equation. ( 3 x − 1 ) ( 2 x + 5 ) = 0 Step 3: Set factors equal to 0. 3 x − 1 = 0 or 2 x + 5 = 0 x = 1 3 or x = − 5 2 Answer: x = 1 3 or x = − 5 2

<———— this is for the second explanation

3.Step 1: Factor left side of equation. ( x + 1 ) ( x − 4 ) = 0 Step 2: Set factors equal to 0. x + 1 = 0 or x − 4 = 0 x = − 1 or x      

<———- this is for the third explanation

4.Step 1: Factor left side of equation. ( 2 x + 1 ) ( x − 3 ) = 0 Step 2: Set factors equal to 0. 2 x + 1 = 0 or x − 3 = 0 x = − 1 2 or x = 3

<—————- this is for the fourth explanation

5. Step 1: Add 16 to both sides. x 2 − 16 + 16 = 0 + 16 x 2 = 16 Step 2: Take square root. x = ± 16 x = 4 or x = − 4

<—————- this is for the fith explanation

6. Step 1: Add 25 to both sides. 9 x 2 − 25 + 25 = 0 + 25 9 x 2 = 25 Step 2: Divide both sides by 9. 9 x 2 9 = 25 9 x 2 = 25 9 Step 3: Take square root. x = ± 25 9 x = 1.666667 , − 1.666667

<—————- this is for the sixth explanation

Hope this helps :)


Related Questions

a 6 pack of pepsi cost 3.59 how much for one soda

Answers

Answer:

.60

Step-by-step explanation:

Answer:

.598 rounds up to .60 a can

Step-by-step explanation:

3.59/6= .598 which rounds up to about .60 a can

Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x? RootIndex x StartRoot 8 EndRoot Superscript x 8 Superscript StartFraction 3 Over x EndFraction 8 Superscript StartFraction x Over 3 EndFraction 8 Superscript 3 x

Answers

Answer:

Option 3: 8 Superscript StartFraction x Over 3 EndFraction

Step-by-step explanation:

RootIndex 3 StartRoot 8 EndRoot Superscript x

∛8ˣ = [tex]8^{x/3}[/tex]

Options:

RootIndex x StartRoot 8 EndRoot Superscript x

[tex](\sqrt[x]{8})^x[/tex]    incorrect

8 Superscript StartFraction 3 Over x EndFraction

[tex]8^{3/x}[/tex]    incorrect

8 Superscript StartFraction x Over 3 EndFraction

[tex]8^{x/3}[/tex]       correct

8 Superscript 3 x

[tex]8^{3x}[/tex]        incorrect

Answer:

C. 8 [tex]\frac{x}{3}[/tex]

Step-by-step explanation:

Just got it right on edge

HEY GUYS HELP I HAVE NO CLUE AND I HAVE TO TURN IT IN AT 25 MINUETS

Answers

Answer:

elevator 1 ends at floor 23. Elevator 2 ends at floor 42.

Step-by-step explanation:

If an angle of a parallelogram is two-third of
its adjacent angle, the smallest angle of the
parallelogram is
(a) 54°
(b) 72°
(c) 81°
(d) 108°

Answers

Answer:

We know that in a parallelogram two opposite angles are equal -

[tex] \\ \implies \sf \: 2x + 2y = 360 {}^{ \circ} \\ \\ \\ \implies \sf \: x + y = 180 {}^{ \circ} \qquad \quad \: (i) \\ [/tex]

Given -

angle x is equal to the two - third of it's adjacent angle y.

[tex] \\ \implies \sf \: x = \frac{2}{3} y \\ \\ \\ \implies \sf \frac{x}{2} = \frac{y}{3} = k \\ \\ \\ \qquad \sf \small \underline{ x = 2k \: \: \& \: \: y = 3k} \\ [/tex]

Now, by using equation (1) :

[tex] \\ \implies \sf \: 2k + 3k = 180 \\ \\ \\ \implies \sf \: 5k = 180 \\ \\ \\ \implies \sf \: k = \frac{180}{5} \\ \\ \\ \large{ \boxed{ \sf{k = {36}^{ \circ} }}} \\ [/tex]

Now, by putting the value of k in x and y.

x = 2k = 2 × 36 = 72° y = 3k = 3 × 36 = 108°

Therefore, the right option and smallest angle is b) 72°.

Simplify (9 ^ 2)/(9 ^ 7)

Answers

Simplify 9^2/9^7 into
1/9^5 <——that could be the simple answer. If to fully simplify it solve 9^5 which would give you
1/59049

9. Whats is the equivalent fraction for 0.625

Answers

Answer:

5/8

Step-by-step explanation:

You need to convert to a simplified fraction by placing the numbers to the right of the decimal over 1000. Then reduce the fraction.

The answer would be 5/8

What is the difference between the absolute value of -8 and the absolute value of 6?
O 2
O 8
O 14
0.16

Answers

Answer:

2

Step-by-step explanation:

Since the absolute value of -8 is 8, and the absolute value os 6 is 6, we can

do 8-6=2.

first year of high school heh need a little help​

Answers

Answer:

(12 + 3x)x

Step-by-step explanation:

(12 + 3)x = 12x + 3x = 15x

(12 + 3x)x = 12x + 3x²

15x

12x + 3x = 15x

They all equal 15x except for (12 + 3x)x

which one of them is it?

Answers

Answer:

[tex]\boxed{\tt A. \angle8 \ and \angle 7}[/tex]

Step-by-step explanation:

Supplementary angles are angles that add to 180 degrees.

Let's examine the answer choices.

A. ∠8 and ∠7

⇒ These angles are on a straight line together, so they are supplementary.

B. ∠5 and ∠1

⇒ These angles have no relation to each other. They are on different lines that are not parallel.

C. ∠7 and ∠4

⇒These angles also have no relation to each other.

D. ∠2 and ∠4

⇒ These angles are vertical, but not supplementary.

The correct answer is A. ∠8 and ∠7

3m+2n=7 solve for M

It’s late night my brain is stemming. Help

Answers

Answer:

M= 7/3 hope that helps ya out

A farmer applies different fertilizer to his wheat crops to see which will make his plants grow the highest.
What is the independent variable?

Answers

Answer:

highest )hope this helps :)

Step-by-step explanation:

Answer:

The crop

Step-by-step explanation:

As the type of fertilizer changes it can not be the independent variable. Since nothing else (except the farmer) is referenced we can deduct that the crop is the independent variable.

Please Help Thank You So Much This is inequalities Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of: b). y − x d). y / x I kinda need this today.

Answers

Answer:

1) C  2) (-2,0) 3) 4)  5) c )S={(0,3)} 6) (0,2) 7)  8) Missing graph 9) Vertical line (check below) 10) B 11)

Step-by-step explanation:

1) Solving by the Addition/Elimination Method. Firstly, let's reduce one variable by making some algebraic adjustments and then adding it up:

2) Solving by Substitution Method. Where y=x+2 is plugged in the 2nd equation.

3) Solving it, again, by the Substitution Method due to the I equation form:

4) By the Addition Method

5) To use the graph method to solve the system of Linear equations is possible by graphing each equation on the Cartesian Plane.

Check the graph below, this system has only one solution.

c)S={(0,3)}

6) Solving y=-1/3x+2 y=x+2

(Check the graph below)

A) A) (0, 2)

7) Solving by Substitution Method:

8) Missing graph

9)

Check the graph below its answer

10) Solving by the Addition Method

11) Sorry, missing graph for the question.

12) Sorry, missing graph for the question.

13) D Check the graph below

14) Sorry, missing graph for the question.

Answer:

b= 3

d= 10/7

Step-by-step explanation:

Basically what you do is 12/6 and 10/7 for d, because it is the greatest and least on both sides. You do the same for b so it would be 10-7=3 and 12-6=6

Does someone know how to do this?
p(x)= -12x -36; -3

Answers

Answer:

p(- 3) = 0

Step-by-step explanation:

Substitute x = - 3 into p(x) , that is

p(- 3) = - 12(- 3) - 36 = 36 - 36 = 0

Which real-world scenario can be described using the algebraic expression c/4?

Answers

Answer:

Baking c cookies and dividing them evenly among 4 friends.

Step-by-step explanation:


Find the slope of the line between the points (1, 4) and (-1,6)

Answers

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 1, 6)

m = [tex]\frac{6-4}{-1-1}[/tex] = [tex]\frac{2}{-2}[/tex] = - 1

Tell whether the lines are parallel perpendicular or neither Y=4x+5 Y=-1/4x+4

Answers

Perpendicular. They have negative reciprocal slopes of each other :)

Express this |-3x-4|

Answers

this is an arithmetic expression. The answer is 12

Use the associative property to create equivalent expressions to a + b + (c + d). Which statements are true? Check all that apply. The associative property allows us to change the grouping of terms that are added together. When changing the grouping, the order of the terms stays the same; only the parentheses change position. The expression a + (b + c) + d is an equivalent expression. The expression ab(cd) is an equivalent expression. The expression (a+ b) + c + d is an equivalent expression. The expression a + b(c + d) is an equivalent expression.

Answers

Answer:

a.The associative property allows us to change the grouping of terms that are added together.

b.When changing the grouping, the order of the terms stays the same; only the parentheses change position.

c.The expression a + (b + c) + d is an equivalent expression.

e.The expression (a+ b) + c + d is an equivalent expression.

Step-by-step explanation:

The correct statements are statement first, statement second, statement third, and statement fifth are correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

As we know,

The associative property allows us to change the grouping of terms that are added together.

= a + (b + c)

= (a + b) + c

The correct statements are:

The associative property allows us to change the grouping of terms that are added together.When changing the grouping, the order of the terms stays the same; only the parentheses change position.The expression a + (b + c) + d is an equivalent expression.The expression (a+ b) + c + d is an equivalent expression.

Thus, the correct statements are statements first, second, third, and fifth are correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

¿Cuál de las siguientes fracciones algebraicas se puede reducir?

A.

8−x9−16x2

B.

5−x25−x2

C.

x2+4x−5x2−4

D.

3x2x2+8

Answers

Do you know how to translate that in English

25 PTS: This is pretty simple, I tried to ask my maths teacger for help but she was very vague and i am still stuck.

Answers

Answer:

Both RSA and AST measure 27.1

Step-by-step explanation:

Since SA, "bisected" (split in half by equal parts) angle RST, the RSA and AST is equal

therefore 54.2 / 2 =27.1

Bisect- means the segment halved/split the angle into 2 equal parts

is -10/3 greater than or less than negative square root of 9​

Answers

Answer:

Greater :D

hope this helped (i may not be right)

Step-by-step explanation:

Can someone create an addition integers word problem. I’ll mark you brainliest.

Answers

Answer:

A football team loses 5 yards on one play and then loses 8 yards on

the next play.  How many yards did they lose on the two plays?

How do we represent a loss of 5 yards?

How do we represent a loss of 8 yards?

Step-by-step explanation:

Answer:

Step-by-step explanation:

When Steve woke up. His temperature was 102º F. Two hours later it

was 3º lower. What was his temperature then?

ummmm whats (40 + 215 -77) x 9÷ 3 - 20 = ?

Answers

If you do PEMDAS correctly you’ll get the answer 514

Round 8015.80930968 to the nearest ten.

Answers

rounded to the tenths place is 8015.8

Answer:

8015.81

Step-by-step explanation:

because 9 is greater than 5, the 0 is increased by 1 and the rest of the numbers on the right had to be removed

5.) Solve the equation below
X/19=4

Answers

Answer:

76

Step-by-step explanation:

multiply 19 and 4 to get 76. If you plug in 76 as x you can check to see if it's true

Balloon A is released 5 feet above the ground. Balloon B is released at ground level. Both balloons rise at a constant rate. Which situation can you represent using an equation of the form y = kx? Explain.

Answers

Answer:

The situation of balloon B

Step-by-step explanation:

Balloon A is released 5 feet above the ground and our ground level be 0 feet. Let k be the rate at which it rises and t the time it takes to rise. Its height y, above the ground after time x is y = kt + 5

For Balloon B since it is released at ground level at which ground level is taken as 0 feet, let t be the time it takes to rise above the ground and k the rate at which it rises above the ground. Its height y above the ground after tie x is y = kt

Since the expression for Balloon B is y = kt and the expression for Balloon A is y = kt + 5, only the situation of Balloon B can be expressed in the form y = kx.

This is because the rate of rise of Balloon B follows a direct proportionality while the rate of rise of Balloon follow a joint proportionality since it starts from a point other than ground level.

If g(x) = x² + 2, find g(3)

options
9
8
11
6
Please help. FLVS.​

Answers

Answer:

g(3) = 11

Step-by-step explanation:

g(x) = x² + 2

To find g(3) , substitute the value of x that's 3 into g(x) , that is for every x in g (x) replace it with 3

That's

g(3) = 3² + 2

= 9 + 2

We have the final answer as

g(3) = 11

Hope this helps you

Can you help please
Expand each expression and combine like terms if possible
2/3 (x+ 18 - 2x)​

Answers

Answer:

This is the expression expanded

Step-by-step explanation:

The answer is -2/3x + 12.

First, you collect like terms. This would make the expression 2/3 * (-x + 18)

Then, remove the brackets, making the expression and the final answer -2/3x + 12

2x-5<5x-3x Please Help Me!!!

Answers

Step-by-step explanation:

Check the above photos

which of these comparisons is correct?

A. -2 < -5
B. 0 > 2
C. 4 > -4
D. -6 < -5

Answers

the comparison that is correct is c.
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