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
What’s the area of this shape
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.
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?
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.
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
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?
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
Answer:
The correct equation that models the area if x(3x) or 3x² where x is the width of the pathStep-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*
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
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
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
Answer:
Its very obviously B
Step-by-step explanation:
I'M SO STUPID
SO PLEASE HELP YA GIRL OUT
Answer:
IDK IM SORRY
Step-by-step explanation:
IM DUMB
What’s 3 divided by 6 2/5?
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!!
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
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
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
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?
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)
Answer:
100 and 125
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!
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°
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?
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 !!!!!!!!!
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
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
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?
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?
Answer:
8,000
Step-by-step explanation:
What is the surface area of the prism?
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
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
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: