Answer:
C
Step-by-step explanation:
6x^2 + 2x - 8
Multiply the (6) to the -(8) to get x^2 by itself.
x^2 + 2x - 48
Solve -
(x-6)(x+8) = x^2 + 2x - 48
However, you must divide out the (6) you multiplied.
(x-6/6) =
(x-1)
(x+8/6) =
(3x + 4)
Therefore, 2(3x + 4)(x-1) is your answer.
EDIT - At the beginning of the equation it is possible to divide (2) out of the equation, this is where the (2) at the end comes from.
PLZ HElp!! Solve the inequality. –6 < 2x – 4 < 4
Answer:
- 1 < x < 4
Step-by-step explanation:
[tex] - 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}[/tex]
Kevin works for a company that manufactures solar panels. In a large batch of solar panels, about 1 in 200 is defective. Suppose that Kevin selects a random sample of six solar panels from this batch. What is the probability that none of the solar panels are defective?
Answer:
probability that none of the solar panels are defective = 0.97
Step-by-step explanation:
Proportion of solar panels that are defective, p = 1/200 = 0.005
Proportion of solar panels that are not defective, q = 1 - p = 1 - 0.005
q = 0.995
Sample size, n = 6
probability that none of the solar panels are defective, P(X=0)
Note: [tex]P(X=r) = nCr p^{r} q^{n-r}[/tex]
[tex]P(X=0) = 6C0 * 0.005^{0} * 0.995^{6-0}\\P(X=0) = 6C0 * 0.005^{0} * 0.995^{6}\\P(X=0) = 1 * 1 * 0.9704\\P(X=0) = 0.97[/tex]
Answer: 0.983
Step-by-step explanation:
What is the greatest common factor if 9 and 15
Answer:
3
Step-by-step explanation:
It is three because 3×5 is 15 and 3×3 is 9 so the greast common factore is 3.
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
A 2-column table with 6 rows. The first column is labeled number of days with entries 0, 10, 20, 30, 40, 50. The second column is labeled estimated number of bees with entries 10,000; 7,500; 5,600; 4,200; 3,200; 2,400.
Which function best models the data?
y = 9,958(0.972)x
y = 0.972(9,958)x
y = 9,219x– 150
y = –150x + 9,219
Answer:
A
Step-by-step explanation:
y = 9,958(0.972)x
Function which best models the given data is -150x + 9219.
What is the solution of an equation?A solution is an assignment of values to the unknown variables that makes the equality in the equation true.
According to the given question
y represents the number of bees.
and, x represents the number of days.
Since, we have to find the function to represent the given data.
As, we know the given data are the solution of any function, so they must satisfy the function. For this we will take any value of x and y and check whether it satisfy the given function or not.
From the given data,
Let check for the point (0, 1000).
Substitute (0, 1000) in the given function one by one.
For, y = 9,958(0.972)x
At, x = 0
We get y = 0
⇒ ( 0, 1000) is not the solution of the function 9958(0.72)x
For, y = 0.972(9,958)x
At, x = 0
we get y = 0
⇒ (0, 1000) is not the solution for the function 0.972(9958)x
For, y = 9219x - 150
At x = 0
we get y = -150
⇒ (0, 10000) is not the solution of function, 9219x -150
For, y = -150x + 9219
At x = 0
y = 9219 which is nearly equals to 10000 because y is the estimated number of bees.
⇒ (0, 10000) is the solution of the given function y = -150x + 9219 .
Hence, the function which best models the given data is -150x + 9219.
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OK THIS IS THE LASTT ONE!!!
4. What is the distance between (-4,1) and (1, -3)?
Answer:
Well it varies for how many lines you put on the graph, if you use desmos the answer comes out as 40 units; 25 units to the right of (-4,1) and 20 down
Step-by-step explanation:
Need help ASAP. WILL MARK BRAINLIEST.
Let's do it in general first; inner radius r, outer radius R.
Little circumference is 2πr, bigger is 2πR, difference is
d = 2π(R-r)
For us R-r = 2 feet so that's
d = 2 (22/7) (2) = 88/7 ≈ 12.57 feet
Answer: 12.6
How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4
Answer:
D. 4
Step-by-step explanation:
If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.
I hope this helped and have a good rest of your day!
During a science investigation six students divided 15 pounds of potting soil equally write an equation that shows how many pounds is a potting soil each student received between which two whole numbers does your answer lie
Answer: it lies between 2 and 3.
Step-by-step explanation:
You equation should be like this because what you wrote is not an equation.
15/6= p where P is the number of pounds each student received.
p=2.5
Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers
Answer: 29
Step-by-step explanation:
3x2= 6
4x2=8
3x5=15
6+8+15= 29
hoped I helped you a bit! Good luck! :)
hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3
Answer:
They do have the same solution
Step-by-step explanation:
In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).
100 Points. Easy and fun question.
1. Describe your scenario/issue/problem - short paragraph 3-5 sentences
2. Show how adding or subtracting (or both) fractions resolves the scenario/issue/problem. This is where you show the math and all the steps (Don't forget to reduce your final answer).
3. Include a model, diagram, number line or some other visual representation of your fraction problem.
An easy example would be a cooking or baking scenario, but see if you can come up with something else.
Answer: You and Sarah went to the gas station to get sodas. Sarah got a Dr. Pepper and it cost $2.50. You got a Sprite and it cost $3.00. You notice Sarah is short on change and want to help her. You have a $10 Bill and are going to pay for it. How much change will you get back?
Step-by-step explanation:
The zeros of the function : f(x)=x² - 2x +3 are *
Answer:
There are no solutions.
Step-by-step explanation:
When you use the quadratic formula, you’ll find a square root of a negative integer, and that’s not a real number.
Para eleição do grêmio estudantil existem 5 cargos. Presidente, vice presidente, diretor, vice diretor e tesoureiro. A chapa ganhadora tem 5 pessoas: Alessandra, Bárbara, Carla, Denise e Elvira. De quantas maneiras diferentes as cinco pode ocupar os cargos do grêmio estudantil? *
Answer:
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Step-by-step explanation:
We want to arrange n people in n positions.
Since the number of objects(in this case, the people) is the same as the number of positions(in this case, the roles), we use the arrangments formula.
Arrangments formula:
The total number of possible arrangents of n elements is:
[tex]A_{n} = n![/tex]
In this question:
5 students, so
[tex]A_{5} = 5! = 120[/tex]
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
What is the volume of the cylinder? Use 3.14 for pi.
A. 715.92 cm3
B. 489.84 cm3
C. 3183.96 cm3
D. 1469.52 cm3
Answer:
V = 1469.52 cm^3
Step-by-step explanation:
cylinder volume = base area * height
= ( pi * R^2) * h
= pi * 6^2 * 13 = 1469.52 cm^3 (ANS)
1. Which situation is best described by a negative integer?
A. a deposit of $25
B. a fine of $12
C. a gain of 12 yards
D. a bonus of 10 points
Answer:
A
Step-by-step explanation:
I may be wrong but when you deposit something you take it away.
please help i will mark brainly !
Answer:
1 hour and 20 minutes
Step-by-step explanation:
Answer:
Total time taken by Natalie to reach the airport is 1 hour and 20 minutes
Question 5
5 pts
Elijah spent $5.25 for lunch every day for 5 school days. He spent $6.75 on Saturday.
How much did he spend in all?
Answer:
$35
Step-by-step explanation:
$5.25 x 5 days=$26.25
then $26.25 + 6.75= $33
A farmer is comparing the number of eggs laid by two hens. The first hen laid 7 eggs per week for x weeks. The second hen laid 8 eggs per week for y weeks. The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen. Write an inequality showing this relationship
Answer:
7x ≥ 8y
Step-by-step explanation:
The first hen laid 7 eggs per week for x weeks. 7x
The second hen laid 8 eggs per week for y weeks. 8y
The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.
7x ≥ 8y
The inequality representing the total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen is 7x ≥ 8y.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, A farmer is comparing the number of eggs laid by two hens.
The first hen laid 7 eggs per week for x weeks which is equal to 7x.
The second hen laid 8 eggs per week for y weeks which is 8y.
Also given that the total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.
Therefore the inequality that represents this situation is,
7x ≥ 8y.
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Please help please please now I nee help
Answer:
AC =3.76
Step-by-step explanation:
sin theta = opposite / hypotenuse
sin 70 = ? / 4
Multiply each side by 4
4 sin 70 = ?
3.758770783 = ?
Rounding to nearest hundredth
3.76 = ?
AC =3.76
Answer:
3.76 units
Step-by-step explanation:
We want to use trigonometry to solve this - specifically, the trigonometric function sine, which is opposite divided by hypotenuse.
Here, the opposite side is AC, which is what we want to find, while the hypotenuse is AB, which is 4. The angle itself is angle ABC, which is 70 degrees. Now, write:
sin(70) = opposite / hypotenuse = AC / 4
Multiply both sides by 4:
AC = 4 * sin(70) ≈ 3.76 units
When two times a number is subtracted from the square of the number, the result is 35. Determine the number(s) algebraically.
The answer is -5 or 7.
For this you have to come up with a equation and solve/simplify from there.
Please help, thank you.
Answer:
Step-by-step explanation:
I just need some help with my pre-alg :)
Answer:
C
Step-by-step explanation:
Look at the attachment
Mrs. Burdell's storage container is 3 feet long, 2 feet wide, and 8 feet tall. Can she fit 44 boxes that each has a volume of 1 cubic foot in her container? Explain your answer.
Answer:
Yes, she can fit 44 boxes if each has a volume of 1 cubic foot in her containerStep-by-step explanation:
If Mrs. Burdell's storage container is 3 feet long, 2 feet wide, and 8 feet tall, then the volume of the strorage container is expressed as shown;
Volume = Length *Breadth * Height
Volume of the container = 3*2*8 = 48ft³
If she each boxes she is to fit into the storage container has a volume of 1ft³, the total number of boxes she can fit into the container is expressed as:
Number of container = volume of the storage container/volume of a container
= 48ft³/1ft³
= 48 boxes
Since she can fit 48 boxes successfully in her storage tank, then she can fit 44 boxes as well into the storage tank since the total number of boxes the tank can take is greater tan the proposed amount of boxes in question.
So, yes she fit 44 boxes if each has a volume of 1 cubic foot in her container
Rewrite (2 + 6)5 using the Distributive Property.
Answer:
5 * 2 + 6 * 5
Step-by-step explanation:
Distributive Property.
Use your ruler to draw a rectangle that measures
by 4 1/2 by 2 3/4 inches, and find its area.
Answer:
Area of rectangle, [tex]A=\dfrac{99}{8}\ \text{inch}^2[/tex]
Step-by-step explanation:
We have,
A rectangle that measures [tex]4\dfrac{1}{2}\times 2\dfrac{3}{4}[/tex].
It is required to find the area of the rectangle
The product of length and breadth of a rectangle is called its area. It can be calculated as :
[tex]A=4\dfrac{1}{2}\times 2\dfrac{3}{4}\\\\A=\dfrac{9}{2}\times \dfrac{11}{4}\\\\A=\dfrac{99}{8}\ \text{inch}^2[/tex]
So, the area of the rectangle is [tex]\dfrac{99}{8}\ \text{inch}^2[/tex].
A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.
The boxes below are two similar solids. Find the value of the missing dimensions and support your answer. YOU MUST SELECT 2 ANSWERS
A) b=9
B) b=18
C) h=9
D) h=18
Answer:
b is 9 and h is 18
Step-by-step explanation:
because its times 1.5 for each one so like 5 times 1.5 is 7.5 so we can see that it is times by 1.5
Answer:
A) b = 9
D) h = 18
Step-by-step explanation:
b/6 = 7.5/5 = h/12
b/6 = 1.5
b = 9
1.5 = h/12
h = 18
A cylinder and a cone are shown below. A cylinder with height 12 inches and volume 2,512 inches cubed. A cone with height 12 inches and volume 1,256 inches cubed. Which explains whether the bases of the cylinder and the cone have the same area? The bases have the same area because the heights are the same. The bases have the same area because the volume of the cone is One-half the volume of the cylinder. The bases do not have the same area because the volumes are not the same. The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Answer:
It should be d, The bases do not have the same area because the volumes are not the same.
Step-by-step explanation:
did it on the unit review test
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
How to find the volume of a cone?The volume of a cone is given by the formula:
A = πr²h/3
How to find the volume of a cylinder?The volume of a cylinder is given by the formula:
A = πr²h
It is given that the height of both the cylinder and the cone is the same.
This means that the only way variable that influences the volume is the radius of the base.
The volume of the cylinder is three times the volume of the cone when the radius and height are equal.
But the volume of the cylinder is two times the volume of the cone in the given question.
This means that they have different radii which means that the bases are different.
Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.
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If y varies inversely as x and y = 8 when x = 9, find x when y = 12.
Answer:
x = 6
Step-by-step explanation:
An inverse variation is
xy = k where k is the constant of variation
8*9 = k
72 = k
xy = k
Let y = 12
x*12 = 72
Divide each side by 12
12x/12 =72/12
x = 6
Which of the following is a statistical question?
A.
What are the weights of the students in Kaycee's reading class?
B.
What is Kaycee's weight?
C.
How many students are in Kaycee's reading class?
D.
How many students know how much they weigh?
Answer:A
Step-by-step explanation:
