Answers
Explain
F(x)= 2x^2 -14x+20
When f(x) = 0
Take out the 2
2(x^2-7x+10) = 0
Now divide by 2
X^2 -7x+10 = 0
Splitting = -7x= -5x-2x
X^2-5x -2x+10=0
Take x common from -2 as 2
X(x-5)-2(x-5)= 0
Take (x-5) common
(X-5)(x-2)0
X-5=0 x-2=0
X=5. X=2
Now zero of g(x) is 0 at x=19
Which is at x= 2 f(x ) =0
I hope this help you :D
Related Questions
A principal of $4900 is invested at 4.75% interest, compounded annually. How much will the investment be worth after 7 years?
Use the calculator provided and round your answer to the nearest dollar.
Answers
Answer:
The investment will be worth $8,674 after 7 years.
brainliest?
(CORRECT ANSWER GETS BRAINLIEST) Drag each object to show whether distance is proportional to time in the situation represented.
Answers
Answer:
a horse running around a race track and
a person running down a field to score a touchdown
DONT HAVE ENOUGH INFORMATION
the two graphs are proportional to time and
a dog jumping at a constant speed for 20min and
a truck passing through 4 cities at a constant speed are not proportional to time because they are constant
Step-by-step explanation:
Solve the system of equations using substitution. Write your answer as an ordered triple in the form (x, y, z).
X+ y + z = 2
4x + 5y + z = 12
2x = -4
Answers
Answer:
(x, y, z) = (-2, 4, 0)
Step-by-step explanation:
Solving the last equation first, we have ...
2x = -4
x = -2 . . . . . divide by 2
__
Putting this in the first equation, we can write an expression for z:
-2 +y +z = 2
z = 4 -y . . . . . . . add 2-y
__
Putting this in the second equation, we have ...
4(-2) +5y +(4 -y) = 12
-4 +4y = 12
-1 + y = 3 . . . . . divide by 4
y = 4 . . . . . . . . add 1
__
Substituting this into the equation for z, we have ...
z = 4 - 4 = 0
The solution is (x, y, z) = (-2, 4, 0).
Answer:
X+y+z=2 equation 1
4x + 5y + z = 12 equation 2
2x = -4 equation 3
Step-by-step explanation:
step 1 :
from equation 3 : 2x = -4
x= -4/2 = -2
step 2:
sub value x = -2 in equation 1
y + z = 4 _______ equation 4
step 3:
sub value of x in equation 3
5y + z = 20 _________ equation 4
solve equation 3 and 4
y + z = 4
5y + z = 20 sign change
__(-)_________
-4y = -16
__________
y = 4
substitute x = -2 & y = 4 in equation 1
z = 0
Hence x = -2 , y = 4 & z = 0
The temperature at noon is -4 degrees Celsius. The temperature at 6:00 is -12 degrees Celsius. What is the difference between the noon and the 6:00 pm temperatures?
Answers
Answer:
-8 degrees
Step-by-step explanation:
12-4 is 8 so the difference is -8
-4-(-12)= 8
Which statement could be an interpretation of the graph’s x-intercept or y-intercept?
On a coordinate plane, a line goes through points (0, 4) and (8, 0).
Tabitha took 6 hours to drive to her friend’s house.
Matthew used 12 gallons of gas in all.
Rosa will pay off her loan in the eighth month.
Eight members of Hoi's family were each charged $4 to go to a movie.
Answers
Answer:
1. Consider the x-axis to represent months to pay off the loan, and the y-axis to represent $ owed.
2. the ordered pair (8,0) would show that at 8 months there is no more money owed.
Step-by-step explanation:
The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.
Answers
Answer:
8 inches
Step-by-step explanation:
For this the length is 11 inches, and when u subtract 3 from that you get 8. 11×2 is 22, 8×2 is 16
22+16=38
Answer:
8 inches
Step-by-step explanation:
P = 2w + 2l
l = w + 3
38 = 2w + 2(w + 3)
38 = 2w + 2w + 6
38 - 6 = 4w
4w = 32
w = 32 : 4
w = 8 inches
Please help will mark brainly
Answers
Answer:
$3.50
Step-by-step explanation:
23.6÷4=5.90 5.90-2.40=3.50
Answer:
$3.50
Step-by-step explanation:
cost of beads - $2.40
cost of pendant - x
2.40(4) + 4x = $23.60
9.60 + 4x = $23.60
4x = $14
x = $3.50
Each pendant costs $3.50.
Hope this helps.
24 ÷ [ 33- (1+2)^2] = ?
21 + 3 (2-2^2) = ?
[(14+[tex]\sqrt 4[/tex])÷2^3] - 14 = ?
20 + [18÷(4+1)] - (3^2 + 2) = ?
please simplify the expressions using the proper order of operations.
Answers
Answer:
Below in bold.
Step-by-step explanation:
24 ÷ [ 33- (1+2)^2]
= 24 / ( 33 - 3^2)
= 24 / 24 = 1.
21 + 3 (2-2^2)
= 21 + 3(2 - 4)
= 21 + 3 * -2
= 21 - 6
= 15.
[(14+√4)÷2^3] - 14
= [ (14 + 2) / 8] - 14
= 16/8 - 14
= 2 - 14
= -12.
20 + [18÷(4+1)] - (3^2 + 2)
= 20 + [18÷ 5] - (9 + 2)
= 20 + 3.6 - 11
= 23.6 - 11
= 12.6.
ASAP!! can someone help solve any of these? whoever answers the most gets brainliest, i underlined the questions
Answers
Answer:
can u please type out the photo is too dark to see the questions
Step-by-step explanation:
10 Points! Help is aprreciated!! :)
Answers
Answer:
A
Step-by-step explanation:
Since the the value is greater than 1, f(x),g(x), and h(x) are exponential functions.
Which of the following best describes the relationship between (x-3) and the
polynomial x3 + 4x2 + 2?
Answers
Answer:
c. (x-3) is not a factor.
Step-by-step explanation:
Select the decimal that is greater than 1/3 and smaller than 1/2. A 0.299 B 0.300 c. 0.415 d 0.501
Answers
Answer:
C, 0.415
Step-by-step explanation:
Convert the fractions to decimals:
1/3 = 0.3333333...
1/2 = 0.5
So the decimal must be greater than 0.3333333... and smaller than 0.5,
from the options,
only 0.415 matches with the requirements.
Answer:
c.415
Step-by-step explanation:
1/3 = 0.333333...
1=2 = 0.5
Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2
Hope ths helps....
Pls mark my ans as brainliest :)
PLS PLS PLS
I want to rank up....
Dat y pls mark my ans as brainliiest :)
WILL MARK BRAINLIEST! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box
Answers
Answer:
d.which is number of candle's in a box
Answer:
number of candies in a box
Step-by-step explanation:
Practice: Assignment, Help is appreciated! I will mark brainliest for correct answers! :)
Answers
Answer:
19:36.83 or 37 20:4.5
Step-by-step explanation:
Answer:
For #19, it would probably be around 37
For #20, it would be 4.5.
Step-by-step explanation:
For #19, the mean is 36.83333.... so a reasonable prediction would be about 37 ˚C.
For #20, the list would be in this order:
3.2, 3.9, 4.5, 4.6, 5.5, 6.5, 8.7, 9.1
So, the 3rd value is 4.5.
10. The easily accessible part of an emergency fund is
O cash
O credit cards
O savings
O CDs
Answers
Answer:Si está tratando de ahorrar dinero a través de un presupuesto pero todavía acarrea una deuda grande, comience por la deuda. ¿No está convencido? Sume cuánto gasta por mes en la manutención de la deuda y rápidamente se dará cuenta. Una vez que esté libre de pagar intereses sobre su deuda, ese dinero puede ahorrarse fácilmente. Una línea de crédito personal es solo una opción para consolidar la deuda, para poder cancelarla mejor.
Step-by-step explanation:
Answer: A. Cash
Cash is the most liquid, meaning that it can be accessed quickly and (nearly) everyone accepts it as payment. Though there are some vendors who only accept credit cards.
CD stands for Certificate of Deposit. This is like a savings account but with a higher interest rate. The catch is that the money must be locked into the account for a certain length of time. You cannot withdraw the money unless you want to incur a penalty.
which equation is correct?
arccsc(x)=1/cos(x)
Answers
Answer:
arccsc(x)=1/cos(x)
Step-by-step explanation:
Answer:
the answer to your question is D
Step-by-step explanation:
In 2005 , 12.1 out of every 50 employees at a company were woman if there are 49,239 total company employees estimate the number of women
Answers
Answer:
11915.8 when rounded up to the nearest tenth
Step-by-step explanation:
When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman
Hope this helps :D
Answer:
11915.8 when rounded up to the nearest tenth
Step-by-step explanation:
Suppose a poll of 700 voters says that 45% of the voters will vote for Candidate A for president. Compute the 99% confidence interval
Answers
Answer: (0.4016, 0.4984).
Step-by-step explanation:
Let p be the proportion of voters will vote for Candidate A for president.
Formula for confidence interval for proportion:
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
, here [tex]\hat{p}[/tex]= sample proportion
n= sample size.
z* =two-tailed critical z- value.
As per given, we have
n= 700
[tex]\hat{p}[/tex] = 0.45
Critical two-tailed z-value for 99% confidence interval = 2.576
Then, the required 99% confidence interval for p would be:
[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]
Hence, the required confidence interval (0.4016, 0.4984).
The senior class at High School A and High School B is planning seperate trips to the local museum. The senior class at High School A rented and filled 13 vans and 1 bus with 184 students. High School B rented and filled 10 vans and 10 buses with 520 students. Every van and every bus had the same number of students in it. How many students can a van carry? How many students can a bus carry?
Based on my answer, each van can carry students and each bus can carry students
Answers
Answer:
Number of students van can carry = 11
Number of students bus can carry = 41
Step-by-step explanation:
Given the following :
HIGH SCHOOL A:
Number of students = 184
Number of vans(v) = 13
Number of buses(b) = 1
Mathematically,
13v + 1b = 184 - - - - (1)
HIGH SCHOOL B:
Number of students = 520
Number of vans(v) = 10
Number of buses(b) = 10
Mathematically,
10v + 10b = 520 - - - - (2)
Multiply (1) by 10 and (2) by 1
130v + 10b = 1840 - - - (3)
10v + 10b = 520 - - - (4)
Subtract (4) from (3)
120v = 1320
v = 11
Substitute v = 11 into (1)
13(11) + 1b = 184
143 + b = 184
b = 184 - 143
b = 41
Number of students van can carry = 11
Number of students bus can carry = 41
Plz help me plzzzzzz 64=8c
Answers
Answer:
c=8
Step-by-step explanation:
do find c, we do 64/8=8. We can check our work by doing 8*8 which is in fact 64
please help on this question I will mark you as brainlist
Answers
Answer:
7, 10, 15, 22, .... 106
3, 12, 27, 48, .... 300
Step-by-step explanation:
Plug n as 1, 2, 3, 4, and 10 to find the terms.
(a)
1² + 6
1 + 6 = 7
2² + 6
4 + 6 = 10
3² + 6
9 + 6 = 15
4² + 6
16 + 6 = 22
10² + 6
100 + 6 = 106
(b)
3(1)²
3(1) = 3
3(2)²
3(4) = 12
3(3)²
3(9) = 27
3(4)²
3(16) = 48
3(10)²
3(100) = 300
Answer:
a) n²+6
U1 = 1²+6 = 1+6=7
U2= 2²+6 = 4+6 = 10
U3= 3³+6= 9+6= 15
U4= 4²+6= 16+6 = 22
U10= 10²+6 = 100+6= 106
So= 7, 10, 15, 22,... 106
b) 3n²
U1= 3(1)²= 3(1)= 3
U2= 3(2)²= 3(4) = 12
U3= 3(3)²= 3(9)= 27
U4= 3(4)²= 3(16)= 48
U10= 3(10)²= 3(100)= 300
So= 3, 12, 27, 48,..., 300
PLS HELP : D Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence?
Answers
Hey there!
Let's look for some patterns here.
In the first triangle, we see that there are six dots in total.
In the second triangle, there are nine dots in total.
And, for the third one, we see that there are 12 dots in total.
So, we see that it is counting up by threes because there is one more added to each side.
This is an arithmetic sequence, which means that there is a pattern of adding or subtracting from a base over and over again. There is a specific formula for calculating a certain term in a sequence and you can find proofs of it out there on the internet, but here is the formula.
To find a certain number in a sequence (in our case, 200), you
STEP 1: Take that certain number and subtract 1
200-1=199
STEP 2: You multiply this by the common difference, which is what you add or subtract to make the series. Since we keep on adding 3, our common difference is 3.
199×3=597
STEP 3: You add the first term in the series. In our case, this is the number of dots on the first triangle, which is six.
597+6=603
Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.
Now you can find a certain term in an arithmetic sequence! Have a wonderful day! :D
A line passes through the point (2,-5) and is perpendicular to the line with the
equation y= 1/5x+ 5. What's the equation of the line?
OA) y = -1/5X + 1
B) y = -5x + 5
OC) y = 5x - 2
D) y=1/5x+4
Answers
slope = -5, y intercept = 5
===========================================
Explanation:
The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.
Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.
---------------
If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b
y = mx+b
-5 = -5(2)+b
-5 = -10+b
-5+10 = -10+b+10 ... adding 10 to both sides
5 = b
b = 5 is the y intercept
So we have y = mx+b update to y = -5x+5 as the perpendicular line.
Answer:
[tex]y = - 5x + 5[/tex]
Step-by-step explanation:
[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]
.
[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]
[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]
[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]
The volume of a soup can with height of 6 cm and diameter of 4.4 cm = ____________ cm3. Use 3.14 for pi.
Answers
Answer:
about 91.2 cm³
Step-by-step explanation:
Radius (r) = diameter / 2 = 4.4 / 2 = 2.2
Volume of cylinder = πr²h, we know π = 3.14, r = 2.2 and h = 6
V = 3.14 * 2.2² * 6 = 91.2
Answer:
91.2
Step-by-step explanation:
To find the volume you need to use the formula [tex]\pi r^2h[/tex]
When you substitute all of the numbers the answer will be 91.1856
HELP PLZZ!! Joe performed an experiment with a spinner. He spun the spinner and recorded the results in the frequency table. The spinner and the frequency table are given below. Find the experimental probability of the spinner landing on yellow or orange.
Answers
Answer:
7/13
Step-by-step explanation:
add all outcomes: 8 + 6 + 5 + 7 = 26
landing yellow or orange: 8 + 6 = 14
14/26 simplified 7/13
The Experimental probability of the spinner landing on yellow or orange is 7/13.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Yellow= 8
Orange = 6
Red= 5
Blue = 7
Total = 8+6+5+7= 26
So, the Experimental probability of the spinner landing on yellow or orange.
= 8/26 + 6/16
= 14/16
= 7/13
Learn more about Probability here:
https://brainly.com/question/30034780
#SPJ6
SOMEONE PLEASE HELP A GIRL OUT BRAINLIEST! The diameters of Breaburn apples are normally distributed with a mean of 8.2cm and a standard deviation of 2.8cm. If you had a shipment of 2000 apples, how many apples would have a diameter: a) smaller than 5.9cm? b) larger than 10.2cm?
Answers
Answer:
a. 0.2061*2000 apples = 412.20 or about 412 apples.
b. 0.2389*2000 apples = 477.8 or about 478 apples.
Step-by-step explanation:
We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).
The parameters for this normal distribution are (without using units):
The mean, [tex] \\ \mu = 8.2[/tex].
The standard deviation, [tex] \\ \sigma=2.8[/tex]
We need to use z-scores, given by:
[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]
For a diameter smaller than 5.9cm, we have:
[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]
The value for z:
[tex] \\ z = -0.82142 \approx -0.82[/tex]
Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).
Then, P(z<-0.82) = 0.2061
How many apples would have a diameter: a) smaller than 5.9cm?
The answer is 0.2061*2000 apples = 412.20 or about 412 apples.
How many apples would have a diameter: b) larger than 10.2cm?
We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.
[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]
[tex] \\ z = 0.71428 \approx 0.71[/tex]
Then, P(z<0.71) = 0.7611
But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):
P(z>0.71) = 1 - P(z<0.71)
P(z>0.71) = 1 - 0.7611
P(z>0.71) = 0.2389
The answer is 0.2389*2000 apples = 477.8 or about 478 apples.
Emily has driven 600 miles so far on her way to the beach. If her total trip will be 850 miles‚ about what percentage of the drive does she have left to complete? a) 15% b) 29% c) 40% d) 73%
Answers
Answer:
B) 29%
Step-by-step explanation:
First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.
Answer:
B. 29%
Step-by-step explanation:
Percentages can be found by dividing the part by the whole, then multiplying by 100.
(part/whole) * 100
We have to find the percentage of the drive she has left.
Therefore, the part is the miles she has left and the whole is the total trip.
(miles left/total trip) * 100
First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.
total - miles driven
She has 850 total miles and has driven 600 miles.
850-600
250
She has 250 miles left.
Now we know the miles she has left.
(miles left/total trip) * 100
miles left = 250
total trip= 850
(250/850) * 100
Solve inside the parentheses first. Divide 250 by 800.
(0.29411765)*100
Multiply
29.411765
Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.
29
Therefore, she has about 29% of her trip left.
The table represents the multiplication of two binomials. A geometric model with 2 columns and 2 rows. The first column is labeled negative 2 x with entries A, C. The second column is labeled 3 with entries B, D. The first row is labeled 4 x with entries A, B. The second row is labeled 1 with entries C, D. Which letters from the table represent like terms? A and B B and C A and D B and D
Answers
Answer:
B and C
Step-by-step explanation:
Like terms are terms with the same constellation of variables. The like terms in this product are (12x) and (-2x). The cells containing those are designated B and C.
Answer:
B and C
Step-by-step explanation:
The ratio of the measures of the angles of a triangle is 3:2:1. Given that the shortest side of the triangle is 12 meters long, what is the number of meters in the longest side of the triangle?
Answers
Answer:
36 i think
Step-by-step explanation:
Answer:
14?
Step-by-step explanation:
What is the area of this figure?
13 mi
5 mi
8 mi
6 mi
3 mi
7 mi
square miles
Answers
Answer:
86 square miles
Step-by-step explanation:
To answer this question you have to separate the shape into smaller ones. In this case, you can separate the shape into one larger rectangle on top and one smaller rectangle on bottom.
Area of large rectangle on top:
13 miles x 5 miles = 65 square miles
Area of smaller rectangle on bottom:
3 miles x 7 miles = 21 square miles
65 + 21 = 86 square miles
Answer:
The answer is 86 square miles
Step-by-step explanation:
First of all you can seperate this shape into shapes that you already know how to solve. Then the rest is easy...You can see how I solved it in more detail by looking at the image below. I hoped it was helpful!