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Due Wed 10/21/2020 11:30 po
The length of a rectangle is 3 inches more than the width. The area is 28 square inches. Find the dimensions.
inches.
The length of the rectangle is
inches, while the width is
C
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11)
/1)
311)
0111
Answer:
MARK AS BRAINLIST
w = 4
L = 7
Step-by-step explanation:
L = length of rectangle
w = width of rectangle
L = 3 + w
A = 28
A = L*w
=(3+w) * w
28 = 3w + w^2
w^2 + 3w - 28 = 0
w^2 + 7w - 4w - 28 = 0
w ( w + 7 ) - 4 ( w + 7 ) =0
( w - 4 ) ( w + 7 ) = 0
w = 4. and w = -7
take the postive value, w = 4
therefore L= 3+4 = 7
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!
i just need x and y please
Answer:
Step-by-step explanation:
Since you know both triangles are congruent, you can say that the corresponding sides are equal. For example, you can say:
17x+3 = 57
because they are corresponding sides of both triangles. To further solve the equation:
17x = 54 --> x = 54/17 --> 3 3/17
Same thing for Y. lines PX and FD are congruent, so, you can say:
4y-3 = 54
4y=57
y= 14.25
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
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:
Which statement can be concluded using the true statements?
If a quadrilateral has 4 equal sides and 4 equal angles, then it is a square.
If a figure is a square, then each of its angles must measure 90 degrees.
If a quadrilaterál has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.
If a quadrilateral has 4 equal sides and 4 equal angles, then none of its angles measures 90 degrees.
If all four angles in a quadriateral measure 90 degrees, the quadrilateral is a square.
If all four angles in a quadriateral measure 90 degrees, the quadrilateral cannot be a square.
Answer:
A) If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.
Step-by-step explanation:
just did the unit review on edgenutiy 2020
hope this helps :)
Answer:
A) If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.
Hope it helps!! :)
Solve the system of equations by the substitution method.
5x + 10y = 25
2x + 12y = 18
Answer
5x + 10y = 25 x=1 y=2
2x + 12y = 18 x=3 y=1
plz mark brainliest
also plz try to answer this question
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.
PLEASE HELP
Giada earns a salary of $42,670 a year and is paid every two weeks. What is her gross pay per pay period?
Answer:
She would get $1647.2 biweekly.
Step-by-step explanation:
There are 52 weeks in a year.
52 ÷ 2 = 26
Money divided biweekly.
42, 670 ÷ 26 = 1, 641.3
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
Identify the number of decimal places in each factor.
0.47
× 3.2
The number of decimal places in 0.47 is .
The number of decimal places in 3.2 is .
The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have decimal places.
Answer:
Step-by-step explanation:
Identify the number of decimal places in each factor.
0.47
× 3.2
The number of decimal places in 0.47 is
✔ 2
.
The number of decimal places in 3.2 is
✔ 1
.
The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have
✔ 3
decimal places.
Given D(5, 7) and E(3, -3), find the midpoint of DE.
Answer:
[tex](4,2 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your 2 coordinates into the midpoint formula to find midpoint:
[tex](\frac{5+3}{2},\frac{7-3}{2} )[/tex]
[tex](\frac{8}{2},\frac{4}{2} )[/tex]
[tex](4,2 )[/tex]
Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard?
Answer:
It is 60%
Step-by-step explanation:
84.50 x 0.60% = 50.7 (also 50.70)
I hope my answer helps even though I am in middle school :)
The required percent decrease in the price of the skateboard is 40%.
The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Original price = $84.50
sale price = $50.70
Percent decrese = 84.50-50.70/84.50 × 100 = 40%
Thus, the required percent decrease in the price of the skateboard is 40%.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ2
The value of an ambulance depreciated by 17.5% from the purchase price of $35,400 a
year ago. What is its current value?
Answer:
29,205
Step-by-step explanation:
100% - 17.5% = 82.5%
82.5% * 35,400 = answer
make percent a decimal
.825 * 35,400 = 29,205
29,205 is answer
The required current value of the ambulance is given as $29,205.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
The value of an ambulance depreciated by 17.5% from the purchase price of $35,400 a year ago.
Current price = 35400[1 - 0.175]
Current price = $29,205
Thus, the required current value of the ambulance is given as $29,205.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ2
Please help me solve for angle B!!
I believe it is 50 degrees
Explanation:
180-115 = 65 degrees
Since the base angles of of an isosceles triangle are equal,
Angle C =angle A= 65 degrees
65 times 2 = 130
180-130=50
50 degrees=measure of angle B
Hope this helps
Kate has $7 in her lunch account. She spends $3 each day on lunch for 5 days. What
is the balance of her lunch account after the 5th day?
Answer:-7
Step-by-step explanation:
Answer:
$-8
Step-by-step explanation:
Subtract 3 from 7 for the first day. She has $4 left
Subtract 3 from 4 for the second day. She has $1 left
Subtract 3 from 1 for the third day. She has $-2 left
Subtract 3 from -2 for the fourth day. She has $-5 left
Subtract 3 from -5 for the fifth day. She has $-8 left in her lunch account
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)
1. In the multiplication problem shown below, label
each factor and the product.
5•10• 50
Answer:
2,500
Step-by-step explanation:
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.
Which equation represents the graph shown?
Step-by-step explanation:
The graph is a linear equation starting at 0.
form y = mx + b.
starts at 0, so b = 0, so the 2nd and 3rd choices are incorrect.
change in y/change in x is the slope,
and you can see it goes up about 35 in the y direction for every 1 in the x, so the slope is 35.
so it's the first answer.
The linear equation of the graph is y = 35x. So, the option first is correct.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form y = mx + b.
The graph is a linear equation origin at 0.
Since b = 0, the 2nd and 3rd choices are incorrect.
The slope = change in y/change in x
Here, we can see that it goes up about 35 in the y-direction for every 1 unit of in the x, so the slope is 35.
so the first answer is correct which is y = 35x.
Learn about linear equations here:
brainly.com/question/11897796
Youssef typed a 36 word paragraph in 2/3 minutes what is his typing speed in words per minute
To find the quotient Three-fourths divided by one-eighth, multiply Four-thirds by One-eighth. multiply Three-fourths by 8. multiply Four-thirds by 8. multiply Three-fourths by One-eighth.
Answer:
multiply Three-fourths by 8.
Step-by-step explanation:
Answer: B multiply Three-fourths by 8.
Step-by-step explanation:
What is the quotient for 3 and 3/4 divided by 5 and 5/8
Answer:
It's 9 3/8! :)
Step-by-step explanation:
Let f(x)= x^2 -5x+4 and g(x)=2^x-3
Answer:
Plug g(x) into all the x values in your f(x) and the answer is 3 because it makes the denominator 1-1 which makes it 0 and is thus discontinuous
Step-by-step explanation:
Help please I’m gonna fail
Answer:
Step-by-step explanation:
1) 0
2) 19
3) -6
4) -27
5) -35
6) 20
7) -75
8) -8
9) 183
10) 0
please give award!
Write a word phrase for each expression. 2(n+1)
Answer:
A number increased by one multiplied by two.
Two distributed into a number and one.
Step-by-step explanation:
First one is way more likely.
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
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
What is The opposite of -4
14 is no less than 8 times a number x plus 6.
Answer:
14 (insert less than or equal symbol)8x+6
Hope this helps! i hope the symbol is right!