Factor (5x − 6)2 − (4x − 3)2.
Answer:
9( x-3) (x-1)
Step-by-step explanation:
(5x − 6)^2 − (4x − 3)^2
This is the difference of squares a^2 - b^2 = ( a-b) (a+b)
(5x − 6)^2 − (4x − 3)^2 where a = 5x-6 and b = 4x-3
( 5x-6 - (4x-3)) ( 5x-6 +(4x-3)
Distribute
( 5x-6 -4x+3) ( 5x-6 +4x-3)
Combine like terms
(x-3) ( 9x-9)
Factor out the 9
9( x-3) (x-1)
Can someone help me please!!
Answer:
y = (-3x/5) +1
Step-by-step explanation:
We know that the line passes through the point (-5 , 4)
AND
the slope is given to be -3/5
let's look at the slope a bit more
we know that the formula for slope of a line is Rise / Run
Which means that the rise of this line is -3 after spanning 5 units to the right
Hence, the line goes down 3 units after moving 5 units to the right
We know that to find the equation of a line through the point-slope equation, we need the slope as well as the y-intercept of the line
since we are already given the slope, we need to find the point where the line intersects the y-axis
Now, back to the given point the line passes through
this point has a x - coordinate of -5 and we know that after moving 5 units to the right, the line moves 3 units downwards
So, if the line moves 5 units to the right from the given point, it will reach the y- axis and we know that it's y-coordinate will decrease by 3
Hence, the y-intercept will be 3 units below the given y -coordinate
y - intercept = (4 - 3) = 1 = y-intercept
Now, using the slope-intercept formula to get the equation:
y = (slope)*x + (y-intercept )
y = (-3/5)x + (1)
y = (-3x/5) + 1
Find the slope of the line that passes through the pair of points (-1,-9) and (-3,10)
Answer:
-9.5
Step-by-step explanation:
The slope (m) is the ratio of the change in y to the change in x:
m = (y2 -y1)/(x2 -x1)
m = (10-(-9))/(-3-(-1)) = 19/-2
m = -9.5
The slope of that line is -9.5.
__
The graph shows the line through those points, written in point-slope form.
PLEASE HELP DUE IN LESS THAN 10 MINUTES. Thank you
Answer:
answer is B all the best for your exam
Step-by-step explanation:
please follow me
What are the measures of each interior and exterior angles of regular quadrilateral MNOP?
Answer:
A regular polygon is a polygon that is equilateral and equiangular.
The only regular quadrilateral is the square.
We know that all the interior angles of a square are 90° each, so we are fine with that.
Now, for the exterior angles.
If we fix our position in the vertex, we can do from one side, to the same side, a full rotation of 360°.
Now, if we only do an external rotation, this means, from one side to other side, we will do a rotation of 360° minus the interior angle:
this is:
360° - 90° = 270°
Below is an image as a guide of this.
Duke Energy reported that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio was $104 per month (Home Energy Report, Duke Energy, March, 2012). A researcher believes that the cost of electricity for a comparable neighborhood in Chicago, Illinois is higher. A sample of homes in this Chicago neighborhood will be taken and the sample mean monthly cost of electricity will be used to test the following null and alternative hypotheses.
Assume the sample data lead to rejection of the null hypothesis.
What would be your conclusion about the cost of electricity in the Chicago neighborhood?
The input in the box below will not be graded, but may be reviewed and considered by your instructor. What is the Type I error in this situation?
The Type 1 error in this situation What are the consequences of making this error?
The input in the box below will not be graded, but may be reviewed and considered by your instructor. What is the Type II error in this situation?
Answer:
When the null hypothesis is rejected
The conclusion is that there is enough evidence to support the claim of the researcher
When a type I error occurs
The consequences is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect
When a type II error occurs
The consequences is that the conclusion that there is enough evidence to support the claim of the researcher is actually correct
Step-by-step explanation:
From the question we are told that
The cost of electricity per month is [tex]\mu = \$104[/tex]
The null hypothesis is [tex]H_o : \mu = \$104[/tex]
The alternative hypothesis is [tex]H_o : \mu > \$104[/tex]
Generally if the null hypothesis is rejected then the conclusion would be that there is enough evidence to support the claim of the researcher
Generally a Type I error is a an error that occurs when the null hypothesis is incorrectly rejected
So in the case of this question the consequence of making this type of error is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect
Generally a Type II error is an error that occurs when the null hypothesis is incorrectly not rejected
So in the case of this question the consequence of making this type of
error is that the conclusion that there is enough evidence to support the claim of the researcher is actually correct
what is cardinality of A={1,4,9}
Answer:
3
Step-by-step explanation:
The cardinality of a set a measure of the number of elements in a set.
A set is a group of objects that have a well defined relationship between them.
In the given set, A={1,4,9}
The set of A has 3 elements which are 1, 4 and 9
So, the cardinality of this set is 3.
Please solve (X+2) 3 = (x-4) 5
Answer:
x= 13
Step-by-step explanation:
(X+2) 3 = (x-4) 5
distribute on both sides: 3x + 6 = 5x - 20
add 20 to both sides: 3x + 26 = 5x
subtract 3x from both sides: 26 = 2x
divide both sides by two: 13 = x
Answer:
x=13
Step-by-step explanation:
I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)
evaluate f(x)=3x-6 when x=2 and x=-4
Answer:
Step-by-step explanation:
Plug in the x
f(2) = 3(-4)-6
2 = -12 - 6
2 = -18
Olivia buys 4 masks that each cost the same amount and a scarecrow. She spent a total of $176.75. If the scarecrow costs $56.75, write an equation she can use to find the cost of each mask. * 10 points 4m + 56.75 = 176.75 5m + 56.75 = 176.75 4m - 56.75 = 176.75 5m - 56.75 = 176.75
4m+56.75=176.75
Solve the equation to find the cost of each mask.
£72 in the ratio 5:4
Answer:
40:32
Step-by-step explanation:
5+4= 9.
72 / 9 = 8
5x8:4x8
aka
40:32
F(x) = -2x^2 + 6x-3, opens (down or up) and has a (maximum or minimum) value
Answer: D
Step-by-step explanation:
(Using the formula in my attachment)
x^2 − 6x + 19
(x - 3)^2 = x^2 - 6x + 9
9 - e = 19
e = -10
(x - 3)^2 - e
(x - 3)^2 - - 10
(x - 3)^2 + 10
when x - 3 = 0, x = 3
Subsitute 3 into the equation
(3 - 3)^2 + 10
0 + 10
Minimum (3,10) in this case f(3) = 10
There are 3 different cheeses at the deli. Yasuko buys Three-fourths of a pound of each. There are also 4 different meats. She buys One-half of a pound of each. How much total meat and cheese did Yasuko buy at the deli?
Answer:
Yasuko buys 2.25 pound of cheeses and 6 pound of meats at the deli
Step-by-step explanation:
3 x 3/4 = 2.25 pound cheese
4 x 1.5 = 6 pound of meat
Answer:
4 1/4
Step-by-step explanation:
I did the test
-5 + 10m + -2m^2 simplify
Answer:
−2m2+10m−5
Step-by-step explanation:
−5+10m−2m2
=−5+10m+−2m2
PLEASE HELP IM BEING TIMED!!!
WILL MARK BRAINLIEST FOR CORRECT!
100 PTS!!!
Which graph shows h(x) = (f(x))(g(x))?
Hi! I'd be happy to help you. However, there is not enough information here for us to help, as there is no way to tell which graph is correct without the equations of f(x) and g(x). They'd look something like:
"f(x) = x-2," or "g(x) = 7x+3."
Are you able to provide the equations of of f(x) and g(x)? I would be more than happy to help.
----------------------------------------------------------------------------------------------------------------
UPDATE: I did not realize that you could solve this problem without the original equations. Please refer to the other user's response for an amazing and detailed explanation of this problem! :)
Answer:
The first graph.
Step-by-step explanation:
We want to find the graph that shows:
[tex]h(x)=f(x)g(x)[/tex]
Notice that g(x) is a line and f(x) is a quadratic.
So, their product must be a cubic.
Also, g(x) and f(x) is the same across all four graphs. The only difference is h(x).
Notice that our quadratic f(x) is curving upwards. Therefore, the leading coefficient of f(x) is positive.
Notice that the line g(x) is sloping downwards. Therefore, the leading coefficient of g(x) is negative.
So, this means that the leading coefficient of our cubic h(x) must be negative since a positive times a negative yields a negative.
Remember that the parent cubic function has a positive leading coefficient and it rises from left to right.
So, if our leading coefficient is negative, the cubic will fall from left to right.
Therefore, we can eliminate the 2nd and 3rd graphs since in those two, h(x) has a positive leading coefficient.
Now, we can just pick a test point and determine whether our graph is the first or the fourth.
Let's let x = -2. So, we have the equation:
[tex]h(x)=f(x)g(x)[/tex]
Substitute all Xs for -2s:
[tex]h(-2)=f(-2)g(-2)[/tex]
Looking at the graphs, we can see that f(-2) is 8. g(-2) is 0.5. Substituting this back, we get:
[tex]h(-2)=8(.5)=4[/tex]
So, h(-2) should be 4.
For the first graph, h(-2) is indeed 4.
For the second graph, h(-2) is 6.
So, the correct graph that represents f(x)g(x) is the first graph.
And we're done!
What is the expanded form of 894?
Answer:
Hope this helps! <3
( Pic Below )
Answer:
800+90+4
Step-by-step explanation:
800+90=890 and 890+4=894
HOPE THIS HELPS
PLEASE HURRY!
Evaluate the following expression.
Your answer must be exact.
Answer:
1Step-by-step explanation:
= [tex](-\frac{\sqrt{3}}{2} - \frac{1}{2}i)^1^2[/tex]
= [tex](-\frac{\sqrt{3}}{2} - \frac{i}{2})^1^2[/tex]
= [tex](\frac{\sqrt{3} -i}{2})^1^2[/tex]
apply the exponential rule:
([tex]-\sqrt{3}-i[/tex])¹²
= --------------
2¹²
note: ([tex]-\sqrt{3}-i[/tex])¹² = 4096
= 4096
4096
= 1
What is the equation of a line passing through the point (4,-1) and parallel to the line whose equation is 2y-x=8
9514 1404 393
Answer:
2y -x = -6
Step-by-step explanation:
You can use the same x- and y-coefficients. You just have to change the constant on the right. Put the point values into the left expression to see the new constant.
2y -x = 2(-1)-(4) = -6
The parallel line is ...
2y -x = -6
Doreen Schmidt is a chemist. She needs to prepare 32 ounces of a 12% hydrochloric acid solutionFind the amount of 16% solution and the amount of 8% solution she should mix to get this solution
1
2
3
4
5
6
10
34:10
Which division problem does the model show?
1
1
1
1
1
3
3-3 -9
9
San
Answer:
3 ÷ 1/3 = 9
Step-by-step explanation:
= 3 ÷ 1/3
= 3/3 (3/1) ÷ 1/3
= 9/3 × 3/1
= 9/1
= 9
Ramona believes that plants exposed to radio waves will become extra tall. She decides to plant two
seeds in 20 separate pots. She placed 10 pots near a radio for 5 days and the other 10 pots in a room
without a radio. Each plant had the same size pot and the same amount of soil and water She
compared the height of the exposed plants to those not exposed. The average height of the plants
exposed to the radio waves was 6.5 cm. The average height of the plants unexposed was 70 cm
Answer:I have this same problem but if you’re asking for the independent and other questions here’s the answer. Independent variable is the radio since that’s the only change happening to the 10 other pots. Dependent variable is the height of the plant since that’s what Ramona wants to see change as the output. Control group is the 5 pots without the radio i’m pretty sure. The constants are the amount of seeds, pots, soil, and water.
Step-by-step explanation:
What additional information is needed to prove the triangles are congruent by ASA?
Answer:
The additional information that needed is m∠ABD = m∠CDB ⇒ C
Step-by-step explanation:
In the given figure
Triangles ADB and CBD are congruent by ASA under these conditions
m∠ADB = m∠CBDDB = BD ⇒ the side joining the congruent anglesm∠ABD = m∠CDBLet us see the given to find the correct answer
∵ ∠ADB and ∠CBD have the same mark
∴ m∠ADB = m∠CBD ⇒ (1) given
∵ Side DB is a common side in the two triangles
∴ DB = BD ⇒ (2) given
∵ ∠ABD and ∠CDB are the angles at the end of BD
∴ m∠ABD must equal m∠CDB ⇒ (3) to prove the congruency using ASA
∴ The additional information that needed is m∠ABD = m∠CDB
Answer:
To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence.
Step-by-step explanation:
Which of the following does NOT show an identity property? Group of answer choices
5 ÷ 1 = 5
2 + 1 = 3
4 × 1 = 4
3 − 0 = 3
Answer:
2+1=3
Step-by-step explanation:
Write the expression as a power of 2, then find its value.
a) 2^4·2
Step-by-step explanation:
((2^2)^2)*2
=(4^2)*2=16*2=32
At an amusement park, 25 riders ride the race cars every 30 minutes and 20 riders ride the spinning swings every 20 minutes. Which ride will have more Riders each hour and how much more?
Answer:
The spinning swings would have 10 more an hour.
Answer:
5
Step-by-step explanation:
35 more
Forty one thousand,two hundred eleven
Answer:
forty one thousand, two hundred eleven written in numeric form is 41,211
Step-by-step explanation:
i'm assuming this is what you were asking; good luck
Young Professional magazine was developed for a target audience of recent college graduates who are in their first 10 years of a business or other professional career. The magazine has been fairly successful and the publisher is interested in expanding the publication's advertising base. As a recent hire into the marketing department at the magazine, you have been asked to help develop a survey asking readers demographic information and questions about their interests. Your survey results will be used to help the magazine choose articles of interest and provide advertisers with a profile of subscribers.The culmination of your work will be a presentation of your findings to management. Therefore, you not only have to present summary data, but must also be able to explain the results in a manner that is accurate and easy to understand.After running your analysis, the software returns the following information about the age of the respondents:Which statement should you use to explain the 95% confidence interval to management?a. We are 95% confident that the interval 29.7215 to 30.5029 includes the population mean age of all respondents.b. We are confident that 95% of our readers have ages between 29.7215 to 30.5029.c. There is a 95% probability that the population mean age of all respondents lies within the interval 29.7215 to 30.5029.d. We are 95% confident that the interval 29.7215 to 30.5029 includes the sample mean age of all respondents.
information about the age of the respondents is missing, so i have attached it.
Answer:
Option A: We are 95% confident that the interval 29.7215 to 30.5029 includes the population mean age of all respondents.
Step-by-step explanation:
From the attached information given, we see that under the 95% Confidence interval column, that the corresponding mean age of all respondents is the interval 29.7215 to 30.5029.
Now, the mean is population mean because it's the mean of all the respondents in the population.
Thus, the correct answer is;
We are 95% confident that the interval 29.7215 to 30.5029 includes the population mean age of all respondents.
Solve: 2x-3 = 5(x + 6) O A. x=33/7 A. X = 7 O B. x=-11 O C. x= -9 O D. x= -3
Answer:
B -11
Step-by-step explanation:
2x-3=5x+30
or,2x-5x=30+3
or,-3x=33
x=-11
A survey found that 12 out of every 15 people like eating at restaurants. If 500 people surveyed like eating at restaurants, how many people took the survey?
if the answers are 600 | 625 | 15 | 500
[URGENT]
Answer:
625
Step-by-step explanation:
625
Of the following statements, which one or ones describe actions helpful to your credit score?
1. Quickly paying off debts
II. Having recent debts
III. Having long-standing lines of credit
a. I only
b. II and III
c. I and HII
d. III only
Answer:
a is the answer
Step-by-step explanation: