1. solve the following quadratic equation by factoring. Show all work and check your answer.
x^2 + 3x – 4 = 0​

Answers

Answer 1

Answer:

x = -4, x = 1

Step-by-step explanation:

x^2 + 3x - 4 = 0

4 and -1 add to 3 and multiply to -4.

(x+4)(x-1) = 0

Separate these by the Zero Product Property.

x+4 = 0

x-1 = 0

Solve.

x = -4

x = 1


Related Questions

What’s the area of this shape

Answers

Answer:

I believe its 27 hope this helps

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

times the short side by the long side that will give you you area

What is the volume of the cylinder? Use 3.14 for π, and round your answer to the nearest tenth. Enter your answer in the box.

Answers

Answer:

The equation to solve the volume of a cylindar is Pie times the radius squared times the height of the cylindar. The radius is distance from the center of the circle outwards.

Answer:

The answer is 235.5

Step-by-step explanation:

Jayla reads 35% of her book over 7 days. If Jayla reads the same number of pages each night, how many more days will it take her to finish her book?

Answers

Answer: It will take her 13 more days.

Step-by-step explanation:

1. 35/7 = 5

2. So that means every day she reads 5 percent of her book.

3. 100-35=65

4. She has 65% more of her book to read

5. 65/5 = 13

6. It will take 13 more days to complete the book.

An office and apartment building is made up of modules. Each module is a rectangular prism. The building has 150 modules, and is 15 stories high. If all of the modules were divided evenly among the number of stories, how many modules would be on each floor? How many different rectangular prisms could be made from that number? If all of the modules were divided evenly there would be modules on each floor. different rectangular prisms could be made from the number of modules on each floor: × 1 × 1 and 2 × × 1.

Answers

Answer:

Part 1. 10 modules per floor

Part 2. Two different rectangular prism

Step-by-step explanation:

Let

x ----> the number of modules

y ---> the number of stories

we have

x=150\ modules\\y=15\ stories

Divide the number of modules by the number of stories

so

\frac{x}{y}=\frac{150}{15}=10\ \frac{modules}{floor}

Which system of equations can be used to find the roots of the equation 12 x cubed minus 5 x = 2 x squared + x + 6? StartLayout Enlarged left-brace 1st Row y = 12 x cubed minus 5 x 2nd row y = 2 x squared + x + 6 EndLayout StartLayout Enlarged left-brace 1st Row y = 12 x cubed minus 5 x + 6 2nd row y = 2 x squared + x EndLayout StartLayout Enlarged left-brace 1st Row y = 12 x cubed + 2 x squared minus 4 x 2nd row y = 6 EndLayout StartLayout Enlarged left-brace 1st Row y = 12 x cubed + 2 x squared minus 4 x + 6 2nd row y = 0 EndLayout

Answers

Answer:

A

Step-by-step explanation:

12x³-5x=2x²+x+6

y=12x³-5x

y=2x²+x+6

A system of equations is a collection of related equations

The system of equations that can be used to solve [tex]12x^3 - 5x = 2x ^2 + x + 6[/tex] [tex]y = 2x ^2 + x + 6[/tex] and [tex]y= 12x^3 - 5x[/tex]

The equation is given as:

[tex]12x^3 - 5x = 2x ^2 + x + 6[/tex]

Split the above equation into 2, and set both equations to 0

[tex]12x^3 - 5x = 0[/tex]

[tex]2x ^2 + x + 6 = 0[/tex]

Replace the "0" with y, in both equations

[tex]12x^3 - 5x = y[/tex]

[tex]2x ^2 + x + 6 = y[/tex]

Rewrite the equations as:

[tex]y = 2x ^2 + x + 6[/tex]

[tex]y= 12x^3 - 5x[/tex]

Hence, [tex]y = 2x ^2 + x + 6[/tex] and [tex]y= 12x^3 - 5x[/tex] can be used to solve [tex]12x^3 - 5x = 2x ^2 + x + 6[/tex]

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On a coordinate plane, a circle has a center at (0, 0). Point (0, negative 5) lies on the circle. The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle? Identify the radius from the graph. r = __units Determine the distance from the center to (–3, –4) using the distance formula. distance =___ units Compare the radius to the distance. Does the point (–3, –4) also lie on the circle?

Answers

we know thatthe equation of a circle is(x-h)²+(y-k)²=r²where the center is the point (h,k)r is the radius if the center is the originso(h,k) is (0,0)the radius is the distance from point (0,5) to the origin (0,0)r=√[(-5)²+(0)²]-------> r=√25---------> r=5 unitsthe equation is(x-h)²+(y-k)²=r²------------> (x-0)²+(y-0)²=5²----------> (x)²+(y)²=25Does the point (–3, –4) also lie on the circle?the distance from the center to (–3, –4) isd=√[(-4)²+(-3)²]-------> d=√25--------->d=5 unitsd=rthereforethe point (-3,-4) also lie on the circle

The point (–3, –4) does lie on the circle with a center at (0, 0).

We know that the point (0, 5) lies on the circle, and since the center is at (0, 0), the distance from the center to (0, 5) gives us the radius.

Using the distance formula:

radius = √((0 - 0)² + (5 - 0)²)

= √0+25

=√25

= 5 units

So, the radius of the circle is 5 units.

Next, let's determine the distance from the center (0, 0) to the point (–3, –4) using the distance formula:

distance = √ (0- (-3))²+ (0-4(-4))²

= √ 3² + 4²

= √9 +16

= √25

= 5 units

The distance from the center to (–3, –4) is also 5 units.

Since the distance from the center to (–3, –4) is equal to the radius of the circle, the point (–3, –4) lies on the circle.

Therefore, the point (–3, –4) does lie on the circle with a center at (0, 0).

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Kiyo is designing a rectangular garden with a 2-ft wide path all the way around it. The length of the garden is 3 times as long as the width. Kiyo models the area of his garden and the path with the equation f(x) = (x + 2)(3x + 2). Explain Kiyo’s error

Answers

Answer:

The correct equation that models the area if x(3x) or 3x² where x is the width of the path

Step-by-step explanation:

Area of a rectangle = Length *Width

Width of the rectangular garden W = 2ft

If the length of the garden is 3 times as long as the width, then length = 3 * width i.e W = 3L

Since Area of the path A = L* W

A = (3W)W

A = 3W²

If the width is the same as x then

Area f(x) = (3x)(x)

According to kyle, the area of his path f(x) = (x + 2)(3x + 2) which is wrong because of kyle addition of 2 to each of the value of the length and width respectively which kyle shouldn't have added any value to the dimension to the garden

Mr. Stanley bought a car that was marked down 18%.
Write an expression for the price, p
*Hint: Subtract the percentage from 100 and write it as a decimal*

Answers

Answer:

P=100-0.18

Step-by-step explanation:

Remember, percent means per every 100. So if the car cost $100, Mr. Stanley saves $18 on the car. Also, 18%= 0.18. And just for extra, single digit percents would be expressed with an extra zero in front of it, such as 5%=0.05.

Simplify. (4w + 3) – 2w + 7

Answers

Answer:

2w+10

Step-by-step explanation:

You are shown a liquid that looks the same throughout. You are told it contains more then one element in varying proportions. Is the liquid an element, a compound or a mixture? Give a reason why

Answers

Answer:

The liquid is a compound because it contains more than one substance.

Which three-dimensional figure is made from the net shown?.Help me​

Answers

Answer:

Its very obviously B

Step-by-step explanation:

The second one B, this net has a total of 4 faces one being the base and 3 sides, B is only one that represents that.

I'M SO STUPID
SO PLEASE HELP YA GIRL OUT

Answers

123 is a linear pair with the inside angle so
180-124= 57. Now we have two inside angles and a triangle has to be 180 degrees so
57+42=99 we know that both angles equals 99 so
180-99=80. The third angle is 81 and is a linear pair with x soooo
180-81=99
X is equal to 99. You can also do corresponding angles and have X be 99 because of the inside angle that’s also 99

Answer:

IDK IM SORRY

Step-by-step explanation:

IM DUMB

What’s 3 divided by 6 2/5?

Answers

Answer:

Step-by-step explanation:

3/6 = 1/2

Answer:

[tex]=\frac{15}{32}[/tex]

Step-by-step explanation:

[tex]3\div \:6\frac{2}{5}[/tex]

[tex]=3\div \frac{32}{5}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]

[tex]=\frac{3}{1}\div \frac{32}{5}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{3}{1}\times \frac{5}{32}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{3\times \:5}{1\times \:32}[/tex]

[tex]\frac{15}{1\times \:32}[/tex]

[tex]=\frac{15}{32}[/tex]

~Lenvy~

pls help me find the lateral surface area!!

Answers

Answer:

88m^2

Step-by-step explanation:

In order to find the lateral surface area of a cylinder, you must use this formula: 2πrh. In this problem we are given the diameter and height. Divide the diameter by 2 to get the radius and plug the radius and height into the formula. With our equation that we just created, we get the answer 87.96. 87.96 rounded to the nearest tenth is 88.

What is the equation of the line that is parallel to the given
line and has an x-intercept of -3?
O y = 2/3x+3
O y=2/3x+2
O y=-3/2x+3
O y=-3/2x+2

Answers

Answer:

0y=2/3x+2

Step-by-step explanation:

0y=2/3x+2 (multiply the #s)

0 =2/3x+2 (move the expression to the left)

= -2/3x=2(multiply both sides by -3/2)

x=-3 (Solution)

hi,I hope ds helps

plz answer the other 6th grade question

Answers

Answer:

5*14=70

Step-by-step explanation:

Divide 28 by 2 because it is the second on the number line and because Jonah folded 2 shirts in that time. You would get 14. You then get a speed of 1 shirt every 14 seconds. That means if you multiply 5 with 14, you'd get the number of seconds it'd take for Jonah to fold her clothes. Not a nice chore I must say. Pardon my english, and hope this helps :)

Can someone help me please!
You just have to resolve it, the ones that doesn’t have an x

Answers

Answer:

5. =1

6. =[tex]-\frac{1}{3}[/tex]

10. = The last solution

Step-by-step explanation:

Alice bought a 2-foot sub sandwich the sandwich was cut into 10 pieces Beth a 1/5 of a sandwich Camilla 8 3/10 of the sandwich and Alice ate two pieces.how many piecesof the sandwich did the 3 girls eat altogether?​

Answers

Answer:

7

Step-by-step explanation:

if you meant "camilla ate" instead of "camilla 8" then the answer should be 7

Answer:5/10 or 1/2

Step-by-step explanation:Beth ate 2/10 so 2/10+3/10+2/10=5/10 or 1/2

The top 25% of students like between _ and _ photos per day (it’s not 30 and 50)

Answers

Answer:

100 and 125

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Volume is measured by length times height times width

Choose how many degrees is equal to a.


25°


65°


87°


112°

Answers

Answer:

i think its 87 but im not to sure

Step-by-step explanation:

Answer:

87°

Step-by-step explanation:

Hope it helps you in your learning process

a + 25° = 112° (vertical angles)

a = 112° - 25°

a = 87°

The side on a clip board appears to be a right triangle. The leg lengths are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. Is the side of the clip a right triangle?

Answers

Answer:

Yes, it is a right angle triangle

Step-by-step explanation:

Let leg lengths be y and z

Y = 2mm

Z = 2.1mm

Let x represent hypothenus

X = 2.9mm

To find out if it's a right angle triangle, we'll use pythagorean theorem since it's true for all right angle triangles I.e the square of the hypothenus is equal to the square of both sides(opposite and adjacent)

x² = y² + z²

x² = 2² + 2.1²

x² = 4 + 4.41

x² = 8.41

Take the square root of both sides

x = √(8.41)

x = 2.9mm

Therefore since the square of two other sides equal the square of the hypothenus, the side of the clip is a right angle triangle

Pleaser answer CORRECTLY , WILL MARK BRAINLIEST !!!!!!!!!

Answers

Answer:

Step-by-step explanation:

-3a + 6b = a + 4b

-4a + 6b = 4b

-4a = -2b

a = -2b/-4

f(a) = -b/2

This pattern follows the rule divide by 2, then add 8. What are the next two numbers?

144, 80, 48, ________, ________

A. 24, 12
B. 32, 24
C. 42, 36
D. 56, 64

Answers

Answer:

32, 24

Step-by-step explanation:

48 divided by 2 is 24 plus 8 is 32 then divide by 2 get 16 plus 8 is 24

Answer:

B. 24 and 32

Step-by-step explanation:

when you divide 48 by 2, get 24.

Then you must add 8 to 24 to get the next number, which will be 32.

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2,4)?

Y=-5/2x-1

y=-5/2x+5

y=2/5x-1

Y=2/5x+5

Answers

Answer:

y=-5/2x-1

Step-by-step explanation:

change the equation to slope intercept form

y=-5/2x+6

graph the point (-2, 4)

use the slope of the equation to find the y intercept

y intercept = -1

write equation of the parallel line using the same slope of the first line

-5/2x

and the y intercept of the new parallel line -1

y=-5/2x-1

Faith makes greeting cards with colored paper. She plans to make 15 of the cards out of red paper. She has 25 sheets of colored paper in all. If she uses all the colored paper she has, how many sheets are a color other than red?

Answers

Answer:

5

Step-by-step explanation:

because..............

Using fraction, the sheets are a color other than red is 5.

What is fraction?

Fraction is a "number are expressed as quotient, where numerator is divided by denominator".

According to the question,

Faith has 25 sheets of colored paper. She plans to make 15 of the cards out red paper.

[tex]\frac{15}{25}[/tex] =  [tex]\frac{3}{5}[/tex]

5 - 3 =2

Fraction 5 parts of sheets is equal to 25, 3 parts of sheet is equal to 15.

5 = 25

2 =  x

5 × 5 = 25

2 × 5  = 10

Hence, using fraction the number of sheets are a color other than red is 5.

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square 20cmx20xm
What is the volume of your box?

What different volumes can you make by
varying the size of the squares you cut out?
What is the maximum possible volume of this
type of box that can be made from a 20cm by
20cm square of paper?​

Answers

Answer:

8,000

Step-by-step explanation:

What is the surface area of the prism?

Answers

Answer:

Surface Area of a Prism. The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases.

Step-by-step explanation:

Marvin is painting three squares shaped like the one below if it takes him exactly 4 cans of paint to paint square 3 five cans of paint to paint square to how many cans of paint should he need to paint square one

Answers

Complete question:

Marvin is painting three squares shaped like the one below if it takes him exactly 4 cans of paint to paint square 3, five cans of paint to paint square 2 to how many cans of paint should he need to paint square one

Picture of squares is attached.

Answer:

9 cans of paint.

To paint square 1, he needs 9 cans of paint.

Step-by-step explanation:

Given that to paint square 3, four cans of paint are needed.

Therefore, let's take area of the square 3 as 4.

i.e a² = 4

Solving further, we have :

[tex] a = \sqrt{4} [/tex]

a = 2

We can say, each side of square 3 = 2 units

To paint square 2, five cans of paint are needed. Let's take the area of 2 to be 5.

i.e b² = 5

Solving further, we have :

[tex] b = \sqrt{5} [/tex]

We can say, each side of square 2 = [tex] \sqrt{5} [/tex] units

Using Pythagoras theorem, we have that the area of the square of a hypotenuse in a 90° angle is equal to the sum of the areas of the other two squares.

Therefore,

[tex] h^2 = 2^2 + \sqrt{5}^2 [/tex]

h² = 4 + 5

[tex] h = \sqrt{9} [/tex]

h = 3 units.

We now know one side of the square 1 is 3 units.

Area of square 1 = 3²

Area = 9.

Therefore to paint square 1, he needs 9 cans of paint.

Tabitha was shooting free throws in gym class. She completed 7 of the shots, which was a fourth of 5 more than Joan completed. What is the number of free throws, n, that Joan completed? A. 23 B. 16 C. 26 D. 33

Answers

Answer:

Hello There I think the correct answer is 16

Because you need to multiply to order to get the answer.

6=x+5/3

18/3=x=5/3

18=X+5

X=13

Answer:

B

Step-by-step explanation:

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