Answer:
2x²-2x-24
Step-by-step explanation:
Something has roots of 4 and -3 we can write
(x-4)(x+3)
We then attach a constant, a that will ensure that it passes through the correct point
a(x-4)(x+3)
now plug in the numbers and solve for a
a(3-4)(3+3)= -12
a(-1)(6)= -12
-6a= -12
a=2
So we have
2(x-4)(x+3)
and now it's just a matter of mulitplying/simplifying things
(x-4)(x+3)= x²-x-12
2(x²-x-12)= 2x²-2x-24
Answer:
y = 2x² - 2x - 24
Step-by-step explanation:
Given a root x = a then the factor is (x - a )
Given roots are x = 4 and x = - 3 , the corresponding factors are
(x - 4) and (x - (- 3)) , that is (x - 4) and (x + 3)
The quadratic is then the product of the factors
y = a(x - 4)(x + 3) ← a is a multiplier
To find a substitute (3, - 12) into the equation
- 12 = a(- 1)(6) = - 6a ( divide both sides by - 6 )
2 = a
y = 2(x - 4)(x + 3) ← expand factors using FOIL
= 2(x² - x - 12) ← distribute
y = 2x² - 2x - 24
Harper’s parents put $75 into her school lunch money account. Each meal she gets from school costs her $3.25. The school sends Harper’s parent’s an email when the balance reaches $19.75. Let m be the number of meals Harper has bought when they get the email. Set up and solve an equation to find the value of m.
solve it please, (√9 + √9) ASAP
Answer:
6
Step-by-step explanation:
(sqrt(9)+sqrt(9))
3+3
6
Answer:
6 is the answer.
Step-by-step explanation:
(√9 + √9) = ?
→ √9 + √9
→ 3 + 3 = 6
6x + 2y = 12
5x + 2y = 8
Answer:
I searched it up and took a screenshot
Step-by-step explanation:
Here they are:
Btw the 1st one is for 6x + 2y = 12 and the second one is for 5x + 2y = 8.
Hope this helps! : )
A jar contains 18 marbles that are all the same size. It contains 7 purple, 3 green, and 8 orange marble. What is the probability of picking a green marble? Type your probability as a fraction in the simplest form.
Answer:
1/6
Step-by-step explanation:
3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.
3/3=1
18/3=6
1/6
The probability of picking a green marble is 1/6.
To find the probability of picking a green marble, we need to consider the total number of marbles and the number of green marbles in the jar. The jar contains a total of 18 marbles, and out of these, there are 3 green marbles.
The probability of an event happening is calculated by dividing the number of favorable outcomes (in this case, the number of green marbles) by the total number of possible outcomes (the total number of marbles in the jar).
So, the probability of picking a green marble can be written as:
P(green marble) = Number of green marbles / Total number of marbles
Substituting the values, we get: P(green marble) = 3 / 18
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing both 3 and 18 by 3, we get: P(green marble) = 1 / 6
Therefore, the probability of picking a green marble from the jar is 1/6. This means that if you randomly pick a marble from the jar, there is a 1 in 6 chance that it will be green.
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Hello I need help../ Why was madame cj walker was proud of her daughter?
I need help
plzzz
Hiiooo ! Could anybody help me?❤️ :D
Answer: Hello Luv.........
The answer is: " 27.5 inches " . The width of the television set is: "27.5 inches"
C. 12 inch's. Sorry if i'm wrong.
Step-by-step explanation:
Please mark me brainest please.
Hope this helps.
Anna ♥
Students got to choose what game they wanted to play in gym class. The ratio of people wanting to play kickball to dodgeball was 7:5. what percent of the students wanted to plau dodgeball? (round to the nearest percent)
Answer:
7%
Step-by-step explanation:
Because the ratio was 7 to 5 which means 7 people wanted to play kickball and 5 percent wanted to play dodgeball
A circle with an area of 8pi square centimeters is dilated so that its image has an area
of 32pi square centimeters. What is the scale factor of the dilation?
A.2
B. 4
C. 8
D. 16
Answer:
scale factor = length of image
corresponding length of object
= 32
8
= 4
The scale factor of the dilation of the given object is 4.
What is scale factor of dilation?The scale factor of dilation of an object is determined by taking the ratio of image length to corresponding object length.
The scale factor of the dilation of the object is calculated as follows;
[tex]S.D = \frac{32\pi \ cm^2}{8\pi \ cm^2} \\\\S.D = 4[/tex]
Thus, the scale factor of the dilation of the given object is 4.
Learn more about scale factor of dilation here: https://brainly.com/question/10253650
You deposit $2500 in a bank account that pays 5% annual interest. Find the balance
after 4 years if the interest is compounded monthly. Round to the nearest cent.
Answer:
Answer key
Step-by-step explanation:
https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/12543/trig%207.1%207.2%207.3%20day%20key.pdf
someone give me the rest of the answers please
Solve the equation 5y – 7x = 7 for y. 7 7 Oy x+ o y = 35x + 35 Оу — als 7 5 o y= 35 – 35x
Answer:
1st option
Step-by-step explanation:
Given
5y - 7x = 7 ( add 7x to both sides )
5y = 7x + 7 ( divide the terms by 5 )
y = [tex]\frac{7}{5}[/tex] x + [tex]\frac{7}{5}[/tex]
Complete the table for the given rule. Rule: y=x-3y=x−3y, equals, x, minus, 3 xxx y 777 111 77
The table will be completed below.
x 7 10 13
y 4 7 10
What is the equation of line?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The equation of the line is given below.
y = x – 3
Then the slope of the line is 1 and the y-intercept of the line is at (0, -3).
Complete the table for the given rule.
At x = 7, then the value of the variable y will be
y = 7 – 3
y = 4
At x = 10, then the value of the variable y will be
y = 10 – 3
y = 7
At x = 13, then the value of the variable y will be
y = 13 – 3
y = 10
Then the table will be
x 7 10 13
y 4 7 10
More about the equation of line link is given below.
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A rectangle with positive are has length represented by the expression 3x^2+5x-8 and width by 2x^2 +6x write an expression in terms of c for the perimeter and area of the rectangle give your answer in standard polynomial form and show your work
Answer:
[tex]c=10x^2+22x-16\\A=6x^4+28x^3+14x^2-48x[/tex]
Step-by-step explanation:
Given
Length is [tex]l=3x^2+5x-8[/tex]
Width is [tex]w=2x^2+6x[/tex]
Perimeter of the rectangle is the sum of the sides
[tex]\Rightarrow c=2(3x^2+5x-8+2x^2+6x)\\\Rightarrow c=2(5x^2+11x-8)\\\Rightarrow c=10x^2+22x-16[/tex]
Area is given by
[tex]\Rightarrow A=(3x^2+5x-8)(2x^2+6x)\\\Rightarrow A=6x^4+18x^3+10x^3+30x^2-16x^2-48x\\\Rightarrow A=6x^4+28x^3+14x^2-48x[/tex]
PLSSSS SOLVE ANYBODY ITS JUST TO SOLVE FOR X, I WILL GIVE THE BRAINLIEST ANSWER JUST PLSSSSS
Answer:
58 :)
Step-by-step explanation:
the two angles make up a right angle with is 90 degrees so 90 minus 32 is 58.
Answer:
SO we can see that x is part of a 90 degree angle
whats also included in the 90 degree angle alongside x is 32 so the equation will look like this
x+32=90
just solve from here
90-32=58 = x
hope that answers your question :)
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
Hiiooo! Can someone help me out❤️
Answer:
Im pretty sure its 6
Step-by-step explanation:
hope this helps :)
Answer:
B.
Step-by-step explanation:
You just take the pythagorean theorem and use the same steps but just plug in the hypotenuse and the one leg you have and solve the problem using the pythagorean theorem.
8, 9, 3, 9, 3, 8, 4,4
1)
Mean
Median
Mode
Range
Step-by-step explanation:
the mean is simply
8+9+3+9+3+8+4+4=48
48/8=6
mean= 6
the median is simply
3,3,4,4,8,8,9,9
4+8=12÷2=6
median=6
the mode is simply(I'm not sure of this answer)
3,4,8,9
the range is
9-3= 6
(PLEASE HELP)
Which of these statements about George’s integer must be true?
Answer:
Answer A is the correct answer.
If PQRS is a parallelogram, what is the value of y?
O A. 44
B. 60
C. 52
O D. 26
O E. 48
O F. Cannot be determined
Answer:
C. 52
Step-by-step explanation:
If this is a parallelogram then sides PS and QR must have the same length. If PS is 13 then 1/4y must equal 13. 1/4 of 52 is 13 meaning y must equal 52.
Answer:
52 is right
Step-by-step explanation:
How many inches are in 2 yards, 3 feet?
Answer:
3 feet = 36 inches
2 yards = 72 inches
Add them together to get:
108
If f(x) = 2x and g(x) = x - 3, what is the value of f(g(5))?
Answer:
g(5)=5-3=2
f(2)=2×2=4
The record high temperature is 124 F the record low temperature for the same state is -8. What is the range integer? (Write and solve equation)
Answer:
132
Step-by-step explanation:
The range is the highest tempreature minus the lowest so
124--8
=124+8
=132
A cylindrical cake with a height of 5 inches has a 30 degree slice removed. If the volume of the removed slice is 40 inches what is the approximate radius of the cake
Answer: [tex]5.52\ in.[/tex]
Step-by-step explanation:
Given
Height of cylindrical cake is [tex]h=5\ in.[/tex]
[tex]30^{\circ}[/tex] slice is removed
Volume of the slice is [tex]V=40\ in.^3[/tex]
Area of slice is
[tex]\Rightarrow \dfrac{30^{\circ}}{360^{\circ}}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{12}[/tex]
Volume of slice will be multiplication of area and height
[tex]\Rightarrow V=A\times h\\\\\Rightarrow 40=\dfrac{\pi r^2}{12}\times 5\\\\\Rightarrow \pi r^2=\dfrac{40\times 12}{5}\\\\\Rightarrow r^2=\dfrac{40\times 12}{3.142\times 5}\\\\\Rightarrow r^2=30.55\\\Rightarrow r=5.52\ in.[/tex]
Hence, the radius of the cake is [tex]5.52\ in.[/tex]
A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil holder is 12 cm, and the volume of the pencil holder is 216cm3
What is the area of the base of the pencil holder in square centimeters?
V = Bh
Answer:
d 18
Step-by-step explanation:
Amelia volunteers at her town's animal shelter. Every day, she puts out 10 ounces of food for each of the 8 dogs. If dog food comes in 25-pound bags, how many days will one bag of dog food last?
Answer:
5 days
Step-by-step explanation:
dogs, combined, eat 80 ounches of food daily
there are 16 ounces in one pound so there are 25x16, or 400 ounces, in a 25-pound bag
400/80 = 5
25-pound bag would last 5 days
One bag of dog food volunteered by Amelia, Which have quantity of 25 pounds will last for 5 days.
What is ratio?
Ratio is mathematical term, which we use for comparing two or more terms. basically it indicates that how much big or small is number in compared to another.
Given that,
Every day, Amelia puts out 10 ounces of food for each of the 8 dogs.
Dog food comes in 25-pound bags.
And it is know that,
1 pound = 16 ounce;
so by that way it can state that,
Dog food for 25-pound bag will be equal to;
25*16
400 ounce.
Everyday requirement of dog food is 8*10 = 80 ounce/day
Number of days food will last= Available quantity/Everyday requirement
Number of days food will last= 400/80
Number of days food will last= 5 days
Hence, One bag of food will be enough for 5 days.
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graph all vertical and horizontal asymptotes of the rational function.
Answer:
Below in bold.
Step-by-step explanation:
When x = 4 the denominator = 0 so the vertical asymptote is x = 4.
When x approaches negative and positive infinity f(x) approaches zero so the horizotal asymptote is y = 0 ( the x-axis).
A cup with a hole in it loses 2 ounces of water in the first minute and then loses 2 ounces of water in the second minute.
True
False
Answer:
Lose 2oz of water in 1st minute and loses 2oz of water in 2nd minute. this is false because this will not equal 0, it will equal -4oz because it is losing a total of 4oz in 2 minutes. So the answer is FALSE
Please evaluate the expression below. Select the answer with BOTH correct answers (the product in standard form and the product in Scientific Notation). (8.08×106)×(7.5×10−2) A) 60,600;6.06×10^5 B) 60,600;60.6×10^4 C) 606,000;6.06×10^5 D) 606,000;60.6×10^4
Answer:
Standard form = 606000
Scientific notation = 6.06*10^5
Step-by-step explanation:
Given the expression
(8.08×106)×(7.5×10−2)
This can also be expressed as;
(8.08*7.5) * (10^6*10^-2)
= 60.6*10^4
= 606000
express in scientific form;
606000
= 60.6*10^4
= 6.06*10^1*10^4
= 6.06 * 10^5
Plsssss helppppppp how do u do thissssss
I WILL GIVE 43 POINTSSS
Hello! answer: 276
I dont know for sure though cause the model looks different from what I've seen before so answer at your own risk but I'm pretty sure this is right Hope that helps!
Ok so what I did was base × height for the rectangles because thats the formula for those those I got 70 for both the left and right the left isn't showing but I'm assuming its there its 70 for both because 14 × 5 = 70 then for the bottom is 112 because 14 × 8 = 112 then the two triangles are 12 each because 8 × 3 = 24 then divide by 2 because thats what you do for triangles then I just add all these numbers up so... 70 + 70 + 112 + 12 + 12 = 276
Suppose the total cost, C, of renting a car is
$25 per day plus an initial fee of $100. Which
equation best describes this relationship if
d represents the number of days the car is
rented?
F C = 100d - 25
G C = 100d + 25
HC=25d - 100
J C= 25d + 100
Answer:
the last one
Step-by-step explanation:
the 100 dollars is an initial fee so it won't be multiplied at all. the 25 is daily so you would multiply that by each day which is d. you would add the 100 dollars because it wants to know the total price in the end. I hope this helps and I am truly sorry if it is not right.
Answer:
25 and 100
Step-by-step explanation:
What expression is equivalent to -4x-36
A. 4(x-9)
B.2(2x-18)
C.-2(2x- 18)
D.-4(x+9)
Answer:
[tex] - 4(x + 9) \\ - 4 \div - 4 = 1 \\ - 36 + - 4 = 9[/tex]