Answer:
36
m
3
n
2
p
−
36
m
2
+
48
m
2
n
5
p
−
48
m
n
3
+
16
n
8
m
p
−
16
n
6
Step-by-step explanation:
O. Solve the equation using the Zero Product Property.
(2x-4)(2x-1) = 0
A. 2, - ;
B. 2, ;
C. -2, 2
D. -2, ;
The solution to the equation is x = 2 , x = 1/2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
( 2x - 4 ) ( 2x - 1 ) = 0
So , the two values of x are
when ( 2x - 4 ) = 0
Adding 4 on both sides , we get
2x = 4
Divide by 2 on both sides , we get
x = 2
And , when ( 2x - 1 ) = 0
Adding 1 on both sides , we get
2x = 1
Divide by 2 on both sides , we get
x = 1/2
Hence , the solution is x = 2 , 1/2
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What are the zeros of the polynomial function F(x) = x2 -5x-6?
O A. x= -1 and x = 6
O B. x= -6 and x = 1
O C. x = 2 and x = 3
O D. x= -3 and x = -2
Answer:
C
Step-by-step explanation:
Remark
The zeros are found either by using the quadratic equation or by factoring and equating the factors to 0. I think factoring is the best and simplest way.
Solution
x^2 - 5x + 6 factors into
(x - 3)(x - 2)
-3 and - 2 must multiply to 6 (they do) -3 * -2 = 6
-3 and -2 must also add to - 5. They do. -3 - 2 = - 5
So the factors are correct.
x - 3 = 0
x - 3 + 3 = 0 + 3
x = 3
x-2 = 0
x -2 + 2 = 0 + 2
x = 2
Answer
x = 2 and x = 3
The answer is C
Please help I need the answer PLEASE!!!
Answer:
245 Sq inches
Step-by-step explanation:
Surface area of the solid
= 7*7 + 4(1/2 * 7*14)
= 49 + 196
= 245 sq in
Use data sets A, B, and C to answer the question that follows.
A {25, 24, 25, 22, 21, 23, 1}
B: {20, 23, 25, 21, 24, 22, 60}
C. 20, 21, 20, 22, 20, 24, 99}
Which answer shows the standard deviations of the data sets in order from greatest to least?
- C, B, A
-В, А, С
- A, B, C
The correct order which shows the standard deviations of the data sets A,B and C in order from greatest to least is C, B, A.
How to find the standard deviation of a data set?Suppose that
[tex]x_i; \: \: i = 1,2, ... ,n[/tex] are n data values for the given data set.
Then we have: Variance as,
[tex]\sigma^2 = \dfrac{\sum_{\forall x_i} (x_i - \overline{x})^2}{n}[/tex]
As standard deviation is the positive root of variance, thus,
[tex]\sigma = \sqrt {\dfrac{\sum_{\forall x_i} (x_i - \overline{x})^2}{n}}[/tex]
If its sample, we divide by n-1 instead of n
Use data sets A, B, and C to answer the question that follows.
A {25, 24, 25, 22, 21, 23, 1}B: {20, 23, 25, 21, 24, 22, 60}C. {20, 21, 20, 22, 20, 24, 99}The mean of the set A is,
[tex]\overline{x}_A=\dfrac{25+24+ 25+ 22+ 21+23+ 1}{7}=20.143[/tex]
Similarly, the mean of set B and C is,
[tex]\overline{x}_B=\dfrac{20+ 23+ 25+ 21+ 24+ 22+ 60}{7}=27.857\\\overline{x}_C=\dfrac{20+21+ 20+ 22+ 20+ 24+ 99}{7}=32.286[/tex]
The standard deviation of the set A is,
[tex]\sigma_A = \sqrt {\dfrac{(25-20.143)^2+(24-20.143)^2......+(1-20.143)^2}{7}}\\\sigma_A = 7.936[/tex]
Similarly, the standard deviation of set B and C is,
[tex]\sigma_B = \sqrt {\dfrac{(20-27.857)^2+(23-27.857)^2......+(60-27.857)^2}{7}}= 13.217\\\sigma_C = \sqrt {\dfrac{(20-32.286)^2+(21-32.286)^2......+(99-32.286)^2}{7}}= 27.27[/tex]
The value of standard deviation of set C is the highest while set A is lowest.
Thus, the correct order which shows the standard deviations of the data sets A,B and C in order from greatest to least is C, B, A.
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Scott wants to fence three sides of a rectangular exercise yard for his dog. The fourth side of the exercise yard will be a side of the house. He has 200 feet of fencing available. Find the dimensions that will enclose the
maximum area.
a
The fence parallel to the house is
the yard is
feet, the fence perpendicular to the house is
feet and the area of
square feet
Answer:
66 2/3 66 2/3 4 444.44 ft^2
Step-by-step explanation:
the largest area will be a square
200/3 = 66 2/3 feet side length
Please Solve |x+3| if x > 5
Answer:
x< -8 or x>2
Step-by-step explanation:
apply the absolute root
If lu| > a, a>0 then u< -a or u>a
it is equal to
x+3<-5 or x+3> 5
x<-8 or x>2
simplify 4 times the square root of 6 divided by the square root of 30 by rationalizing the denominator. show your work.
Answer:
4*[tex]\sqrt{5}[/tex]/5
Step-by-step explanation:
(4*[tex]\sqrt{6}[/tex])/[tex]\sqrt{30}[/tex]
This is my interpretation, although the question could also be interpreted as 4 * ([tex]\sqrt{6}/\sqrt{30}[/tex])
Multiply the nominator and denominator by sqrt 30
4* sqrt 6 * sqrt 30/ 30
4 * sqrt 6 * sqrt 6 * sqrt 5/30
24*sqrt 5 / 30
4*sqrt5/5
2 in 4x = 2 in 8 What is the true solution to
Answer:
2In4x= 2In8 ln(16x^2) = ln64 Multiply e by both sides.
Step-by-step explanation:
Which of the following are square roots of
256
A-16
B. 2561/2
C. 2561/2
D. 8
E. 16
F. 128
Answer:
16
Step-by-step explanation:
16^2 = 256
E. the square root of 256 is 16
A shape that has 4 sides and 4 angles.
Answer:
its called a Quadrilateral
Step-by-step explanation:
Answer:
Quadrilateral, parallelogram
BRAINLIEST please if this helped!A cubical dice is thrown two times, find the probability that the outcomes is 5 in first throw and odd number in second throw.
All the numbers present in cubical dice = 6
( 1 , 2 , 3 , 4 , 5 ,6 ) Total Outcomes = 6Probability = Favorable outcomes / Total number of outcomes
Probability that 5 will come in first throw :-Favorable Outcomes = 1
Favorable Outcomes = 1 Probability = 1/6
Probability that an odd number will come in second throw :-Favorable Outcomes = 3
Probability = 3/6 ; 1/2
NEED HELP ASAP!!!!!!
Answer:
Vertex: (-2,-8)
Axis of Symmetry: x = -2
x intercept(s): x = 2,-6
Min/Max Value: Min; y= -8
y-intercept: -6
Step-by-step explanation:
In a survey, 125 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 1.
Answer: probably 4 cards each person
Step-by-step explanation:
50 points
Please show work !!!
(08.06)The dot plot shows how many swimmers are in each line at a waterpark:
Dot plot titled Swimmers in Line and labeled Number of Swimmers shows a number line from 1 to 10. There is 1 dot over 1, no dots over 2, 3, 4, 5 and 6, 2 dots over 7, 4 dots over 8, 6 dots over 9, and 5 dots over 10.
Answer:
The answer is
A. Median, because the data are skewed and there is an outlier
Step-by-step explanation:
Answer:
The answer is median, because the data is skewed and there is an outlier.
Step-by-step explanation:
How many solutions are there to the equation below?
x = -5
O A. 2
O B. 1
O c. o
D. 25
We will see that the equation has only one solution, so the correct option is B.
How many solutions an equation has?
For an equation of the form:
p(x) = C
Where p(x) is an expression that depends on x, and C is a constant.
The solutions are all the values of x that make the equality true.
For our case, we have:
x = -5
Notice that there is only one value of x that makes the equality true, if we replace x by -5 we get:
-5 = -5
So that is the only solution for the equation, then we conclude that the equation has only one solution, and the correct option is B.
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*100 points* pls help on this edulastic, brainly community. Answer the questions in the pic.
Answer:
4. 48, 24, 12
21. A, B, B, C
Step-by-step explanation:
There are two different questions here. One where you get to make up an exponential function and write a table of values. The other is a statistics problem in which you compare 5-number summaries.
__
Exponential FunctionFor the function f(x) = a·b^x, the value of f(0) is 'a'. The given table shows a=96. The only requirement for choosing 'b' is that it not be 1. We can choose b=1/2, and our table will be ...
y = 96·(1/2)^x
[tex]\begin{array}{c|cccc}x&0&1&2&3\\y&96&\boxed{48}&\boxed{24}&\boxed{12}\end{array}[/tex]
For each increase of x by 1 unit, the value of y is cut in half.
__
StatisticsThe attachment shows you how to find the answers to the questions.
The median is the bar in the middle of the box. The values for the different teams are ...
A: 78B: 86C: 82Team A has the lowest median; Team B has the highest median.
The interquartile range (IQR) is the length of the box. For the different teams, the values are ...
A: 88-74 = 14B: 90-78 = 12C: 86-70 = 16Team B has the smallest IQR; Team C has the largest.
karen has 3 1/3 hours to run errands spends 1 2/3 hour at grocery store and rest at library how muh time did she spend at library
Answer:
1 and 2/3 hours (One hour and 40 minutes.)
Step-by-step explanation:
Karen has 3 and 1/3 hours.
She spends 1 and 2/3 hours at the store.
3 and 1/3 - 1 and 2/3 = 1 and 2/3 or 5/3 is the time she had left after being at the grocery store.
Because the rest of the time was spent at the library, that is your answer.
Use the scenario and elimination by multiplication to answer the question.
At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla? Let the cost of a quesadilla be x and the cost of the taco be y.
A. The quesadillas cost $3.11 each, and the tacos cost $1.69 each.
B. The quesadillas cost $1.57 each, and the tacos cost $3.45 each.
C. The quesadillas cost $3.39 each, and the tacos cost $1.69 each.
D. The quesadillas cost $3.39 each, and the tacos cost $1.57 each.
is 24L greater than 240ml
Answer:
yes
Step-by-step explanation:
24L (litres) = 24000 ml
1L = 1000 ml
hope this helps!
Answer:
Yes
Step-by-step explanation:
We know that,
1 Litre = 1000 milliliters
Then,
24 L
= 24 * 1000
= 24000 mL
Also,
24000 mL > 240 mL
So,
Yes, 24L IS greater than 240ml.
[tex]\rule{150pt}{2pt}[/tex]
The following inequalities are equivalent
except ...
a) x<4
b) X-1<3
c) x + 1<4
d) x - 2<2
Answer:
c )
Step-by-step explanation:
To find equivalent inequalities, we are looking to isolate x on the left side.
a) x < 4 ✅
b) x -1 < 3 add 1 to both sides x -1 +1 < 3 +1 result x < 4 ✅
c) x + 1 < 4 subtract 1 from both sides x + 1 -1 < 4 -1 result x < 3 ❌
d) x - 2 < 2 add 2 to both sides x - 2 +2 < 2+2 result x < 4 ✅
A deposit of $2,960 is placed into a scholarship fund at the beginning of every six months for 13 years. The fund earns 7% annual interest, compounded biannually, and paid at the end of the six months. How much is in the account right after the last deposit? Select the correct answer below:
Answer:
where are the awnsers??
The value of the initial deposit is $2,960, so a1=2960. A total of 26 six-month deposits are made in the 13 years, so n=26. To find r, divide the annual interest rate by 2 to find the biannual interest rate and add 1 to represent the new biannual deposit.
r=1+0.072=1.035
Substitute a1=2960, n=26, and r=1.035 into the formula for the sum of the first n terms of a geometric series and simplify to find the value of the annuity.
S26=2960(1−1.03526)1−1.035≈122286.78
Therefore, the account has $122,286.78 after the last deposit is made.
-15=8z + 7 slove for z
Answer:
-11/4
Step-by-step explanation:
Answer:
- 2.75 is the answer
Step-by-step explanation:
-8z = 7 + 15
- Z = 22 / 8
- Z = -2.75
Which number is rational?
Answer:
[tex]\sqrt{16}[/tex]
Step-by-step explanation:
16 has a perfect square, 4.
Answer:
the square root of 16
Step-by-step explanation:
16 is a perfect square so
the square root of 16 is 4
4*4 = 16
Compare using >,<,or=.
2/3 and 9/12
Please help on math.
Answer:
3
Step-by-step explanation:
First set up your data in order
0,0,0,0,1,1,1,2,2,2,2,3,3
Second subtract the lowest to the highest which is 3-0=3
Hope this helps!
-14 < 3 + 1 < 13 answer inequality
Answer: -14 < 1 < 3< 13
Step-by-step explanation:
This is the order from the lowest to greatest
You are helping some friends assemble a kite. They want to add a ribbon around the outside of the kite using the lengths indicated in the diagram. The lengths given in the diagram are in inches.
How many inches of ribbon do you need to go the entire way around the kite?
Answer in a complete sentence. Provide supporting work in your solution.
And
11y-22=7y-64y=16y=4So
7y-6=7(4)-6=28-6=225x=5(6)=30Perimeter:-
2(30)+2(22)2(30+22)2(52)104inAnswer:
104 inches
Step-by-step explanation:
A kite has two pairs of consecutive, congruent sides.
Therefore, BC = AB and AD = DC
We can use this to determine the values of x and y, and then the perimeter of the kite.
If BC = AB
⇒ 5x = 3x + 12
Subtract 3x from both sides:
⇒ 2x = 12
Divide both sides by 2
⇒ x = 6
If AD = DC
⇒ 11y - 22 = 7y - 6
Subtract 7y from both sides:
⇒ 4y - 22 = -6
Add 22 to both sides:
⇒ 4y = 16
Divide both sides by 4:
⇒ y = 4
As BC = AB and AD = DC
⇒ perimeter = 2 (BC + AD)
= 2 (5x + 11y - 22)
Substituting found values of x and y:
⇒ perimeter = 2 (5(6) + 11(4) - 22)
= 2 (30 + 44 - 22)
= 2 (52)
= 104 inches
Draw and write to solve. Explain
your reasoning.
1. Jean has 10 fish. She gets
4 more fish. How many fish
does she have now?
Answer:
14
Step-by-step explanation:
she has 10
she gets 4 more
10+4=14
1/10 (as a fraction) of the animal pictures on Amelia’s smartphone are of cats. Write and solve an equation to find what fraction of all her pictures have cats in them.
1/10 that mean that there are 10 animal pics and 1 cat pic. your equation could be 10-9=1 showing only one 1 cat image.