Answers
Answer:
B. [tex] 4x^2 + \frac{3}{2}x - 7 [/tex]
Step-by-step explanation:
[tex] f(x) = \frac{x}{2} - 3 [/tex]
[tex] g(x) = 4x^2 + x - 4 [/tex]
(f + g)(x) = f(x) - g(x)
= [tex] \frac{x}{2} - 3 + 4x^2 + x - 4 [/tex]
Add like terms
[tex] = 4x^2 + \frac{x}{2} + x - 3 - 4 [/tex]
[tex] = 4x^2 + \frac{3x}{2} - 7 [/tex]
[tex] = 4x^2 + \frac{3}{2}x - 7 [/tex]
Related Questions
Anne invested $1000 in an account with a 3% annual interest rate. She made no deposits or
withdrawals on the account for 2 years. If interest was compounded annually, which equation
represents the balance in the account after the 2 years?
Answers
474 ( ) 548 42. - 8 how do I arrive at this answer.
Answers
9514 1404 393
Answer:
(64x^28)/(5y^22)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
__
First, eliminate the outside exponent on the left factor. Then use the above rules to combine factors with the same base.
[tex]\displaystyle\left(\frac{4x^4}{5y^6}\right)^5\cdot\left(\frac{5^4y^8}{4^2x^{-8}}\right)=\frac{(4^5x^{20})(5^4y^8)}{(5^5y^{30})(4^2x^{-8})}=4^{5-2}5^{4-5}x^{20-(-8)}y^{8-30}\\\\=4^35^{-1}x^{28}y^{-22}=\boxed{\frac{64x^{28}}{5y^{22}}}[/tex]
please solve fast please
Answers
Answer:
3/6 =1/25/6pls give me brainliest plzzzzz
Triangle ABC is the pre-image and triangle DFE is the image.
What is the scale factor of the dilation?
Please helppp!!!!!
Answers
Answer:
Scale factor = ½
Step-by-step explanation:
The original image is the preimage = ∆ACB
The new image is the image = ∆DFE
The scale of factor of dilation = image/preimage = DF/AC
DF = 6 cm (given)
AC = 12 cm (given)
Plug in the values into the equation to find the scale factor of dilation:
Scale factor = 6/12
Scale factor = ½
Find the area for me pls
Answers
this figure can be divided into three parts one is rectangle other one is semicircle and the third one is one fourth of the circle .so let's find the area of each figure one by one. For the rectangle 12×8 =96
for semicircle that is on the top it has the radius 6 which is a half of 12
so area of the semicircle is
[tex] \frac{1}{2} \pi \: r {}^{2} \\ \frac{1}{2} \times 3.14 \times 6 {}^{2} \\ 3.14 \times 18 \\ 56.52[/tex]
no that's fine. 80 of the 1/4 of the other Circle
[tex] \frac{1}{4} \pi {}^{2} \\ \frac{1}{4} 3.14 \times 8 {}^{2} \\ 3.14 \times 16 \\ 50.24[/tex]
add all these areas
96+56.52+50.24 =202.76
The amount of increase from the cost to the selling price is called the?
Answers
Answer:
profit
hope it is helpful to you
Step-by-step explanation:
Markup is the percentage amount by which the cost of a product is increased to arrive at the selling price.
HELP!!!! NUMBER 2
2. Find the distance between these two points.
First Point
Second Point
Distance
(5, - 2)
(8,6)
(5,6)
(-3,6)
(-3,6)
(5,-2)
Answers
Answer:
1. 8
2 . 11
[tex]3 . \sqrt{128} \ or \ 8 \sqrt2[/tex]
Step-by-step explanation:
[tex]Distance = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2 }[/tex]
1 . ( 5 , - 2 ) and ( 5 , 6 )
[tex]Distance = \sqrt{(5 -5)^2 + ( 6-(-2))^2} = \sqrt{ 0 + 8^2 } = \sqrt{64} = 8[/tex]
2 . ( 8 , 6 ) and ( - 3 , 6 )
[tex]Distance = \sqrt{( -3 -8)^2 + ( 6 - 6)^2 } = \sqrt{ (-11)^2 + 0 } = \sqrt { 121 } = 11[/tex]
3. ( 5 , - 2 ) and ( -3 , 6 )
[tex]Distance = \sqrt{(-3 - 5)^2 + ( 6 --2)^2} = \sqrt{(-8)^2 + ( 8)^2} = \sqrt{ 64 + 64 } = \sqrt{128}[/tex]
[tex][ \ \sqrt{128} = \sqrt{ 2 \times 64} = \sqrt{ 2 \times 8^2 } = 8 \sqrt{2} \ ][/tex]
What number must be added to both the numerator and denominator of the fraction 2/5 to get 7/8?
a) 13
b) 15
c) 17
d) 19
Answers
Adding 19 to both 2 & 5 in 2/5 will equal 21/24. 21/24 can then be simplified to 7/8.
what is 5.73 as a mixed number
Answers
Answer:
[tex]5 \ \frac{73}{100} [/tex]
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are
2 numbers to the right of the decimal point, place the decimal number over 10^2 (100). Next, add the whole number to the left of the decimal.
Answer:
5 73/100
Step-by-step explanation:
5.73 = 573
100
= 573
100
as a fraction
To convert the decimal 5.73 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
5.73 = 5.73
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
5.73
1
= (5.73 × 100)
(1 × 100)
= 573
100
.
(This fraction is alread reduced,
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 573
100
is also equal to 5 73/100
when expressed as a mixed number.
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width.4x+y^2=12, x=yThen find the area S of the region.
Answers
Answer:
The Area of the Enclosed Region Is 64/3.
Step-by-step explanation:
As Given in Question
We have, Curve 4x+[tex]Y^{2}[/tex]=12
& X=Y
Solution.
4Y+[tex]Y^{2}[/tex]=12 (X=Y)
[tex]Y^{2}[/tex]+4Y-12=0
[tex]Y^{2}[/tex]+6Y-2Y-12=0
Y(Y+6)-2(Y+6)=0
(Y-2)*(Y+6)=0
Y=2 & -6 (X=Y)
Now at (2,2) & (-6,-6) both curves intersect each other.
The Area Of Enclosed Region is [tex]\int\limits^2_{-6} [(3-Y^{2}/4 )-Y] \, dy[/tex]
by Solving This Equation we get Area of Region = 64/3 .
this equation Solution & Curve Diagram please see In Attachment .
Kay leaves a $6 dollar tip for a $60 dollar bill what percentage is the tip
Answers
Answer: uhh 10%??
Step-by-step explanation:
I'm not rlly good at percentage-
there is 300ml of oil in the small bottle there is six times as much in the big bottle how much oil is in the big bottle?
Answers
Answer:
1800 ml of oil
Step-by-step explanation:
300*6
(Right angle Trigonometry) Please help me solve and explain!
Answers
Answer:
31.3
Step-by-step explanation:
Reference angle given = 56.1°
Hypotenuse = 56.1
Adjacent side = x = ?
We would apply CAH, which is:
Cos 56.1° = Adj/Hyp
Cos 56.1° = x/56.1
56.1 × Cos 56.1° = x
31.2895006 = x
x = 31.3 (approximated to the nearest tenth)
Area of a trapezoid
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
6 cm
0
10 cm
8 cm
12 cm
Answers
Answer:
h
Step-by-step explanation:
h
What is the exponential regression equation that fits these data? x у 1 4 2 9 3 27 4 90 5 250 6 580 O A. y = 39.16x2 - 169.38x+ 158.9 O B. y = 1.31(2.804) O C. y = 2.80(1.31") O D. y = 104.74x - 206.6
Answers
Answer:
1.31(2.80)^x
Step-by-step explanation:
Given the data :
x : 1 2 3 4 5 6
y : 4 9 27 90 250 580
Using technology, the exponential regression data obtained by fitting the data is :
y = 1.31(2.80)^x
Where, y = predicted value
1.31 = Initial value
2.80 = growth fractor
x = period
Answer:
1.31(2.80)^x
trust me i just did the cst
Step-by-step explanation:
Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+ - =-4
a-25+2c=6
1
0
0
2
1
0
-2.
0
0
1
0
1
0
0
1
0
1
0
- 2
0
0
1
0
2
1
1
2.
-4
Answers
Answer:
The one that's include a rows 2 1 1 2
Answer:
A
Step-by-step explanation:
they wanted the reduced echelon form.
On Edge. btw
Hi, could someone help me solve this. so the question says to find the area of the shaded part (in black) , in terms of pie (π). the length of the square is 12 cm. the radius of the circle is 6cm. i came with the answer of (144-36π)/4. is this ok? below is the picture of the question.
Answers
Answer:
yes but can be simplified
Step-by-step explanation:
area of shaded part = ( area of square - area of circle ) / 4
= [tex]\frac{12^2-\pi (6)^2}{4}[/tex]
= [tex]\frac{144-36\pi }{4}[/tex]
= [tex]\frac{144}{4}[/tex] - [tex]\frac{36\pi }{4}[/tex]
= 36 - 9π
Chung has 6 trucks and 5 cars in his toy box. Brian has 4 trucks and 5 cars in his toy box.
Which is the correct comparison of their ratios of trucks to cars?
StartFraction 6 Over 4 EndFraction less-than StartFraction 5 Over 5 EndFraction
StartFraction 6 Over 4 EndFraction greater-than StartFraction 5 Over 5 EndFraction
StartFraction 6 Over 5 EndFraction less-than StartFraction 4 Over 5 EndFraction
StartFraction 6 Over 5 EndFraction greater-than StartFraction 4 Over 5 EndFraction
Answers
Given:
Chung has 6 trucks and 5 cars in his toy box.
Brian has 4 trucks and 5 cars in his toy box.
To find:
The correct comparison of their ratios of trucks to cars.
Solution:
The ratio of trucks to cars is defined as:
[tex]\text{Ratio}=\dfrac{\text{Number of trucks}}{\text{Number of cars}}[/tex]
Chung has 6 trucks and 5 cars in his toy box. So, the ratio of trucks to cars is:
[tex]\text{Ratio}=\dfrac{6}{5}[/tex]
Brian has 4 trucks and 5 cars in his toy box.
[tex]\text{Ratio}=\dfrac{4}{5}[/tex]
We know that,
[tex]6>4[/tex]
[tex]\dfrac{6}{5}>\dfrac{4}{5}[/tex]
Therefore, the correct option is D.
Answer:
what the guy above me said
Step-by-step explanation:
so yeah he is right points
smallest to biggest pls
Answers
Step-by-step explanation:
45.399,45.454,45.545,45.933
the sum of two consecutive numbers is 2x+3. What are the numbers
Answers
Answer: 2 and 3
Step-by-step explanation:
its numbers
what does $42,690e(0.03)×(20) equal
Answers
Answer:
77,786.251
Step-by-step explanation:
Answer:
77,786.251 is the answer that equals $42,690e(0.03)×(20)
Step-by-step explanation:
hey mate hope this help you...!
What is the midpoint of the line segment connecting the points (-4, 5) and (4,7)?
Answers
Answer:
(0,6)
Step-by-step explanation:
Answer:
(0,6)
Step-by-step explanation:
We need to find the midpoint of the line segment having end points (-4,5) and (4,7). So, here we can use the Midpoint Formula :-
Points :- (-4,5) and (4,7).
Using Midpoint Formula ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)[/tex]
Substitute the respective values ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{-4+4}{2},\dfrac{7+5}{2}\bigg)[/tex]
Simplify the numbers ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{0}{2},\dfrac{12}{2}\bigg)[/tex]
This equals to ,
[tex]\rm\implies \boxed{\blue{\rm Midpoint =\bigg( 0,6\bigg)}}[/tex]
Hence the midpoint is (0,6) .
Write in standard form 4.91E-2
Answers
Answer:
4.91e-2 in decimal form is 0.0491
what is 15/16 -1/16? 3/4 or 13/16 or 7/8 or 1?
Answers
Answer:
7/16
Step-by-step explanation:
(15/16 - 1/16)
(15 - 1)/16 = 14/16 = 7/8
•°• = 7/8
Use the distributive property to write the next step in simplifying th
numerical expression
7(2 + 7)
A. 7• 2+7•7
B. 7• 2+7
C. (7+2) • (7 + 7)
D. 7+2 • 7+ 7
Answers
Answer:
A)
Step-by-step explanation:
find the area of the following figures:
Answers
Answer:
Area = 156 square cm
Step-by-step explanation:
ASAP there are three marbles in a bag. One is red and two are black. What is the probability of picking a black marble first, putting it back in the bag and then picking a black marble? Use the following probability to find the answer.
Answers
Answer:
[tex] \frac{4}{9} [/tex]
Step-by-step explanation:
[tex]p = \frac{favorable \: outcomes}{total \: outcomes} = \frac{4}{9} [/tex]
=============================================================
Explanation:
The probability you get a black marble on the first selection is 2/3 since we have 2 black marbles out of 2+1 = 3 total.
We put the marble back and then we have 2/3 as the probability of selecting another black marble on the second try. Nothing has changed because we put the marble back. That means the events are independent.
So we get (2/3)*(2/3) = 4/9 as the probability of selecting 2 black marbles in a row (with replacement).
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of accidents provided the following data. Sunday= 64, Monday=53, Tuesday=55, Wednesday=49, Thursday=55, Friday=68, Saturday=76. Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. What is the -value? Compute the value of the test statistic (to 3 decimals).
Answers
Answer:
Hence,
a)
Test statistic [tex]X^{2}[/tex] = 9.269.
p value = 0.148
b)
Sunday= 15.23%, Monday= 12.62%, Tuesday= 13.10%, Wednesday=11.67%,
Thursday= 13.10%, Friday= 16.19%, Saturday= 18.09%.
Step-by-step explanation:
a)
relative observed Expected Chi square
Category frequency(p) [tex]O_{i}[/tex] Ei=total*p [tex](O-E)^{2}[/tex] [tex]R^{2}_{i} =(O_{i} -E_{i} )^{2} /E_{i}[/tex]
1 0.142857143 64.0 60.00 16.00 0.267
2 0.142857143 53.0 60.00 49.00 0.817
3 0.142857143 55.0 60.00 25.00 0.417
4 0.142857143 49.0 60.00 121.00 2.017
5 0.142857143 55.0 60.00 25.00 0.417
6 0.142857143 68.0 60.00 64.00 1.067
7 0.142857143 76.0 60.00 256.00 4.267
Total 1.000 420 420 556 9.269
Test statistic [tex]X^{2}[/tex] = 9.269.
p value = 0.148 from excel: chidist(9.269,6)
b)
Percentage %= Frequency of traffic occur on category x 100 / Total number of frequency given.
Category Percentage%
Sunday 15.23%
Monday 12.62%
Tuesday 13.10%
Wednesday 11.67%
Thursday 13.10%
Friday 16.19%
Saturday 18.09%
Which angles are supplementary to 24? Select all that apply.
Answers
Answer:
<2, <3, <6, <7
Step-by-step explanation:
Supplementary to <4 means that, <4 and that angle equals 180. So we will move angle by angle.
<1 = Is not supplementary because both are virtually opposite angle and virtually opposite angles are equal.
<2 = Is supplementary angle because it is a vertical linear pair with <4.
<3 = Is supplementary angle because it is horizontal linear pair with <4
<5 = Is not supplementary angle because they are alternate interior angles and alternate angles are equal.
<6 = Is supplementary because angles on the same side and same interior/exterior are supplementary. (By interior/exterior, I meant that they have to be either interior or exterior. No both)You can also use the reason that 6 and 2 are corresponding angles, and corresponding angles are equal. So, if 2 is supplementary to 4, then 6 is also supplementary to 4. I think the latter is better than the first.
<7 = Is supplementary because it is vertically opposite to 6 and 6 is supplementary, so 7 is also supplementary.
<8 = Not supplementary. Because 4 and 8 are corresponding angles and corresponding angles are not equal. And also 8 is equal to 5. And 5 is not supplementary to 4. That means 8 is also not.
Ugh... I really hope u understand, and don't think that I am blabbering.
Thank You
Please mark me as the brainliest
Given f(x) = x2 + 24 - 12, find f(3)
Answers
Answer:
f(3) = 12
Step-by-step explanation:
f(3) = (3 x 2) + 24 - 12
= 6 + 24 - 12
f(3) = 12
If this helps you, please give brainliest!
Answer:
Step-by-step explanation:
f(x) = [tex]x^{2}[/tex] + 24 - 12
substitute 3 inplace of x
f(3) = [tex]3^{2}[/tex] + 24 - 12
=9 + 24 - 12
21
If the question is f(x) = x2 + 24 - 12 {x*2 + 24 - 12}
now substitute 3 in place of x
f(3) = 3*2 + 24 - 12
=6 + 24 - 12
18
