Given:
Consider the given function is [tex]f(x)=-(x+1)(x-3)(x+2)[/tex].
To find:
The remaining zero and y-coordinate of y-intercept.
Solution:
We have,
[tex]f(x)=-(x+1)(x-3)(x+2)[/tex]
For zeros, [tex]f(x)=0[/tex].
[tex]-(x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)=0,(x-3)=0,(x+2)=0[/tex]
[tex]x=-1,x=3,x=-2[/tex]
So, three zeros of given function are -1, 3 and -2.
Putting x=0 in the given function, we get
[tex]f(0)=-(0+1)(0-3)(0+2)[/tex]
[tex]f(0)=-(1)(-3)(2)[/tex]
[tex]f(0)=-(-6)[/tex]
[tex]f(0)=6[/tex]
So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).
Therefore, the zeros of the function [tex]f(x)=-(x+1)(x-3)(x+2)[/tex] are –1, 3, and -2 and the y-intercept of the function is located at (0,6).
5x - 2y = -15 and 3x + 8y = 37 elimination please
Answer:
the answer is d i took the quiz
Step-by-step explanation:
A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the calculator provided and round your answer to the nearest dollar
Dan needs Alison to spruce up his classroom. She charges a flat fee of $40 and
$25 per hour that she words. If Alison makes a total of $290, how many hours did
she work? Write and solve an equation to get your answer.
Answer:
I think she works 10 hours and 30 minutes
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 429.0429.0 gram setting. It is believed that the machine is underfilling the bags. A 4040 bag sample had a mean of 425.0425.0 grams. A level of significance of 0.020.02 will be used. Determine the decision rule. Assume the standard deviation is known to be 11.011.0.
Answer:
A 4040 bag sample 25.0425.0 grams. A level of significance of 0.020.02
the decision rule. Assume the standard deviation is known to be 11.011.0.
Step-by-step explanation:
A travel agent calculates the cost of a trip to Paris using this formula C = p(t + 30).
C is the total cost in pounds
p is the number of people
t is the cost of the trip per person
Use this formula to calculate the total cost if p = 2 and t = 245.
Answer:
C=550 pounds
Step-by-step explanation:
Given the formula: C=p(t+30)
and with p=2 and t=245 known.
We can plug our values of p and t into our formula. Once we do this, the only unsolved variable will be C.
C=2(245+30)
Add 245+30 first because they are in parentheses and we must abide by the order of operations.
C=2(275)
Now we just multiply 2(275) because this is all that's left in the formula.
C= 2*275 = 550
We now know that C=550 when p=2 and t=245, but we need to apply units to finalize the answer. We are told that C represents the total cost in "POUNDS", so pounds is our units for variable C.
Our final answer is...
C=550 pounds
Brenda did a survey of the students in her classes about sheathed they liked to get candy bar or a new math pencil as their reward for positive behavior. She asked al 71 students she taught, and 32 said they would like a candy bar, 25 said they wanted a new pencil, and 4 said said they wanted both. If Brenda were to select a student at random from her classes, what is the probability that the student chosen would want:
a) a candy bar or a pencil?
b) neither a candy bar nor a pencil?
What percentage of the students in the survey have a car? A. 22% B. 38% C. 40% D. 60% E. 61
Answer:
D) I hope this helps you out :)
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with each of
the following amounts?
1 lb
3/4 lb
1/4 lb
Answer:
1 lb=2 batches 3/4 lb=1 1/2 batches 1/4 lb= 1/2 a batche
Step-by-step explanation:
1x2=2 b
3/4x2=1 1/2 b
1/4x2=1/2 b
b=batches
what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?
A. 30 calories
B. 202 calories
C. 270 calories
D. 360 calories
Answer: C
Step-by-step explanation:
Solve for the missing monomial F.
-27x3y - (-3x)(F)
Answer:
7
Step-by-step explanation:
Please helppppp.........
Answer:
x = 6.1
Step-by-step explanation:
Reference angle = 29°
Hypotenuse = 7
Adjacent side = x
Applying trigonometric ration, we would have:
Cos 29 = x/7
Multiply both sides by 7
7*cos 29 = x
6.12233795 = x
x = 6.1 (nearest tenth)
I'll give you a Brainly please help me
Answer:
Step-by-step explanation:
A= (7,-9)
B= ( 6,-12)
Find the roots of h(t) = (139kt)^2 − 69t + 80
the smaller root is:
the larger root is:
The answers will consist of algebraic expressions containing the parameter k.
What positive value of k will result in exactly one real root?
K = ?
Answer:
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:
[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)
Roots are determined analytically by the Quadratic Formula:
[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]
[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]
The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].
[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:
[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]
[tex]k \approx \pm 0.028[/tex]
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
Simplify: 5!
A. 5
B. 20
C. 120
D. 240
Answer:
it would be 5
Step-by-step explanation:
I don't have an explanation I just know it is 5
HELPPPP PLEASEE. IT IS DUE IN 20 MIN. THANK YOU SO MUCH! :)
Answer:
A.) 65x + 35X + 50 = 250
65x = cost of concrete per cubic yard, x is yd³
35X = cost of pouring/finishing concrete per cubic yard, X is yd³
50 = delivery cost
250 = the money you have
B.) 400 + 15n = 505
15n = amount of money you deposite per week, n is # of week
400 = some money in account after n week passed
505 = initial money in bank
C.) 1.1X - 10 = 55
55 = total cost of clothes
1.1X = tax rate where X is the undiscounted clothe cost
10 = discount
I miiiiighhhhtttt need more helpppp
When using the substitution method to solve the system of equations,
what is the result of the first step?
y = 2x + 4
2x + 3y = 8
Answer:
B
Step-by-step explanation:
This is due to the fact that the first equation is saying it is equal to y so you replace the y variable with the equation
Answer:
since y=2x+4 just substitute y with 2x+4
2x + 3(2x+4) = 8
so the answer is B
Which of the following is an arithmetic sequence?
A ){1,3,6,10,15,…}
B) {−6,1,8,15,22,…}
C) {64,32,16,8,4,…}
D) {1,2,4,8,16,…}
A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the rectangle
Answer:
The area is 15 feet
Step-by-step explanation:
So you are going to need two different equations-
l = w(3)
2l + 2w = 40
Insert the first equation into the second-
2(3w) + 2w = 40
Simplify this equation-
6w + 2w = 40
8w = 40
Divide both sides by 5
w = 5
Solve first equation
l = 5(3)
l = 15
Then find the area-
5 x 15 = 75
Pls find this asap I am already late for this pls
Answer:
Step-by-step explanation:
I'm not sure about number 3, but I have the answer for number. The answer is 1:32.
3: 69
3/69
Then we reduce the fraction to the lowest term
3/69 = 1/32
1:32
Just divide 96/3 and you can see that one bus can hold 32 students
Question 3: If you're expected to pay a 20% down payment on a $300,000 house, how much money are you paying upfront?
Answer:
I'm pretty sure the answer is 250,000 dollars.
Step-by-step explanation:
I' sorry if it isn't right I tried my best.
There are 3 boys for every 4 girls in the library. If there is 91 people in the library
a) How many boys are there in the library?
b) How many girls are there in the library?
Answer:
8
Step-by-step explanation:
Answer:
52 girls and 39 boys (multiply each by 13)
Step-by-step explanation:
4 x 13 = 52
3 x 13 = 39
= 91
Only answer if you're sure its correct!
Answer:
im sure its D.)
Step-by-step explanation:
Do this worksheets if someone do I will make him or her brainly if correct.
Answer:
[tex]1) \frac{37.5}{100} [/tex]
[tex]2) \frac{9}{40} \times 100 = 22.5 \% [/tex]
[tex]3) \frac{7}{10} \times 100 = 70\%[/tex]
[tex]4) \frac{7}{8} \times 100 = 87.5\%[/tex]
[tex]5) \frac{12}{25} \times 100 = 48\%[/tex]
8x = 88
I can’t figure this out 10 points if you answer
Answer:
divide 88 by the number of x
88/8= 11
X = 11
Answer:
x=11
Step-by-step explanation:
8x=88
You use inverse operation which means you would divide 8 on both sides to isolate x on one side resulting in x=11
need help asap please!!
Answer:
EF = 7
Step-by-step explanation:
the two triangles shown are congruent triangles
we know this because they share the line FD
and DE and DG are both 5
so the length two sides are definitely congruent, this means that the third side will also be congruent
the third side would be FG and EF
FG is 7 so then EF is 7
Answer:
EF is 7
Step-by-step explanation:
Key skills needed: Triangle Congruence
1) We need to find out The length of EF
2) To find this, let's use Congruence of Two Triangles
The triangles that we can prove congruent are Δ DFG and Δ DFE
3) Both share the side DF, so we have one side
Both have a right angle, < FDG is a right angle, and < FDE would also be right angle (you can prove this as ---> < FDE is supplementary to a right angle, and therefore it would also be a right angle)
Both share a congruent set of sides (GD and DE both are 5)
4) With the 3 things above we can say --> Δ DFG ≅ Δ DFE with SAS (side-angle-side)
5) This means that corresponding parts would be congruent.
FG ≅ EF. This means EF would be the same length as FG. Since FG is 7, then EF would be 7.
Hope you understood and have a nice day!! :D
What is 1+1-1+1-1-1+1 i need to know
Hello guys, my questions keep on being taken down so this is just a tester question,
Answer:
1
Step-by-step explanation:
which ratio is equivalent to 4:5
10/15
4/10
16/20
15/8
Answer:
16/20
Step-by-step explanation:
16/20 = (4*4)/(4*5) = 4/4*4/5 = 4/5
Noel rides his bike in 270 minutes. What is the average speed in mph
PLZZ HELP ASAP
Answer:
how is that college math
Step-by-step explanation:
what is 3/4 of a full rotation ?????????????????????????????????????????????????????????
Answer:
270 degrees.
Step-by-step explanation:
A full rotation is equal to 360 degrees. 3/4 * 360 = 270.