Answer: 12x^ 3 + 22x^ 2 +26x + 9
Please help is for now
Answer:
[tex]2[/tex]
Step-by-step explanation:
Given:
[tex]-2(1-4x)=3x+8[/tex]
Let's distribute the parenthesis
[tex]-2+8x=3x+8[/tex]
Let's subtract [tex]-3x[/tex] from both sides
[tex]-2+5x=8[/tex]
Let's add [tex]2[/tex] to both sides
[tex]5x=10[/tex]
Now, let's divide both sides by [tex]5[/tex] to get [tex]x[/tex] alone
[tex]x=2[/tex]
Hope this is helpful
Step-by-step explanation:
How to solve your problem
−2(1−4)=3+8
-2(1-4x)=3x+8−2(1−4x)=3x+8
Solve
1)
Rearrange terms
−2(1−4)=3+8
-2({\color{#c92786}{1-4x}})=3x+8−2(1−4x)=3x+8
−2(−4+1)=3+8
-2({\color{#c92786}{-4x+1}})=3x+8−2(−4x+1)=3x+8
2)
Distribute
−2(−4+1)=3+8
{\color{#c92786}{-2(-4x+1)}}=3x+8−2(−4x+1)=3x+8
8−2=3+8
{\color{#c92786}{8x-2}}=3x+88x−2=3x+8
3)
Add
2
22
to both sides of the equation
8−2=3+8
8x-2=3x+88x−2=3x+8
8−2+2=3+8+2
8x-2+{\color{#c92786}{2}}=3x+8+{\color{#c92786}{2}}8x−2+2=3x+8+2
4)
Simplify
Add the numbers
Add the numbers
8=3+10
8x=3x+108x=3x+10
5)
Subtract
3
3x3x
from both sides of the equation
8=3+10
8x=3x+108x=3x+10
8−3=3+10−3
8x{\color{#c92786}{-3x}}=3x+10{\color{#c92786}{-3x}}8x−3x=3x+10−3x
6)
Simplify
Combine like terms
Combine like terms
5=10
5x=105x=10
7)
Divide both sides of the equation by the same term
5=10
5x=105x=10
55=105
\frac{5x}{{\color{#c92786}{5}}}=\frac{10}{{\color{#c92786}{5}}}55x=510
8)
Simplify
Cancel terms that are in both the numerator and denominator
A student records the repair cost for 13 randomly selected TVs. A sample mean of $72.19 and standard deviation of $15.88 are subsequently computed. Determine the 98% confidence interval for the mean repair cost for the TVs. Assume the population is approximately normal.
Answer:
(60.382 ; 83.998)
Step-by-step explanation:
The confidence interval is given as :
Mean ± Margin of error
Mean = 72.19
The margin of error is : Tcritical * s/√n
n = 13 ; s = 15.88
Tcritical at 98%, df = 13-1 = 12 = 2.681
Margin of Error = 2.681 * 15.88/√13 = 11.808
Confidence interval = 72.19 ± 11.808
(60.382 ; 83.998)
is this table proportional or non-proportional?
Answer:
Proportional
Step-by-step explanation:
Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportionality. Plugging in (x,y) pair into this function will yield a constant of proportionally of [tex]k=\frac{3}{2}[/tex] and since this constant is maintained through all the coordinate pairs in the table, the table is proportional.
» Choose ALL the lines of symmetry for the shape.
Answer:
the first one , one below it and the one beside the one below it
Step-by-step explanation:
Answer:
sorry I don't Know
Find the area of the bedroom with the shape shown in the figure, in square feet. A) 67 ft2 B) 106 ft2 C) 506 ft2 D) 548 ft2
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
Firstly , See the attached picture! :) I splitted the provided figure into two rectangles i.e namely small rectangle & big rectangle ![tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
Find out the area of small rectangle having length of 14 ft & width of 12 ft :[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]
Find out the area of big rectangle having length of 20 ft and width of 19 ft :[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]
Now , Add the area of small rectangle & area of big rectangle :[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]
[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]
[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]
[tex] \large{ \boxed{ \tt{⇝ \: OUR\: FINAL\: ANSWER : \boxed{\underline{ \tt{D. \: 548 \: {ft}^{2} }}}}}}[/tex]✺ WORK HARD! So that tommorrow , your parents can be recognized by your name!♡Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore !☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Select the correct answer.
What is the solution for x in the equation?
-3x + 7x − 8 = 34 + 9x − 2
A.
B.
C.
D.
Answer:
-8
Step-by-step explanation:
-3x + 7x - 8 = 34 + 9x - 2
-3x + 7x - 9x = 34 - 2 + 8
-5x = 40|: (-5)
x = -8
[tex]{ \bf{ \underbrace{ The\:value\:of\:x\:is\:-8.}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ 4x - 9x = 32 + 8 \\ ⇢ - 5x = 40 \\ ⇢ x = \frac{40}{ - 5} \\ ⇢ x = - 8[/tex]
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ - 3 \times - 8 + 7 \times - 8 - 8 = 34 + 9 \times - 8 - 2 \\ ⇢24 - 56 - 8 = 34 - 72 - 2 \\ ⇢24 - 64 = 34 - 74 \\ ⇢ - 40 = - 40 \\ ⇢L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Select the value(s) that represent
Answer:
±3/5
Step-by-step explanation:
±sqrt(9/25)
We can separate this into
± sqrt(9) / sqrt(25)
Since these are perfect squares
±3/5
Gary went to dinner with his friends. The total bill comes to $135.00 before tax. He wants to leave a 15% tip before tax. He also must pay an 8% tax on the bill. How much does Gary spend in total?
No links or I will report!
Answer:
Gary spends a total of $166.05
Step-by-step explanation:
15% tip: would be 15% of 135, so 0.15 times 135, which would be $20.25 for the tip before tax
8% tax: would be 8% of 135, so 0.08 times 135, which would be $10.8
Then we add $20.25+$10.8+$135= $166.05
Hope I helped, please correct me anywhere you think I may have messed up if I did make mistakes.
How many centimeters are equal to 7 meters? Enter your answer in the box.
Answer:
56 but i could be wrong
Step-by-step explanation:
18
What is the value of x?
3
10
2y + 4
4
6
10 + 2x
8
Answer:
its 4 or B for the value of X
An increase in pay because of how well you do a job is called
A. longevity increase
B. promotional pay
C. performance pay
D. merit pay
Answer:
D. merit pay
An increase in pay because of how well you do a job is called merit pay.
Explanation:
Merit pay refers to performance-related pay which provides bonuses or base pay increases for employees who hit the target or perform their jobs effectively, according to measurable criteria over a predetermined period of time.
Pls helpp pls pls pls
Answer: 16^2 + 12^2
Step-by-step explanation:
20^2 = 400
16 x 16 = 256
12 x 12 = 144
256 + 144 = 400
A teacher kept track of the shirt colors her students were wearing on Wednesday. The results of her observations are shown in the table below.
What is the P(blue shirt | girl)? Write your answer as a decimal.
Answer:
.321428571
Step-by-step explanation:
P(blue shirt | girl)
This means what is the probability of a blue shirt given that we have a girl
There are 56 girls and 18 girls wearing blue shirts
P(blue shirt | girl) = girls in blue shirts / girls
= 18/56
=.321428571
if 125 men can do a piece of work in 120days, how many men would be sufficient to do the same work in 100days?
Answer:
x =150 men
Step-by-step explanation:
Think of the total as workdays
125men* 120days = 15000 workdays
We still need 15000 workdays
100 days * x = 15000workdays
Divide by 100
x = 15000/ 100
x =150 men
Answer:
150 men
Step-by-step explanation:
120 × 125 = 15000
15000 ÷ 100
150
252k is a perfect square. Find any two possible values of k.
In a lab a substance was cooled b 6 degrees each hour for 42 hours what was the total change it in temperature
9514 1404 393
Answer:
total cooling was 252 degrees
Step-by-step explanation:
quantity = rate × time
The total temperature change is ...
(-6°/h)(42 h) = -252°
The total change in temperature was a cooling of 252 degrees.
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 378 people entered the park, and the admission fees collected totaled 1,042.00 dollars. How many children and how many adults were admitted?
Answer:
188 children, 190 adults
Step-by-step explanation:
For this equation, let c be the number of children, and a represent the number of adults.
On this day 378 total people were at the park, so
a + c = 378 eq 1
Each adult pays $4, so the admission fee for ALL adults will be $4 multiplied by the number of adults , a, so 4a
Use the same method for the children, and the total all children paid is 1.50c
From all the children and adults, the total was 1042, so merge the 2 cost variables together.
4a + 1.50c = 1042 eq 2
the 2 equations we will use are
a + c = 378
4a + 1.50c = 1042
From equation 1, subtract c from both sides, and
a = 378 - c eq 3
Substitute the value of a in eq 3 into equation 2
4a + 1.50c = 1042
4 (378 - c) + 1.50c = 1042
1512 - 4c +1.50 c = 1042 (collect like terms)
1512 - 1042 = 4c -1.50 c
470 = 2.5 c
c = 470 /2.5
c = 188 children
Substitute the value of c into eq 3 to get the value of a
a = 378 -c
a = 378 - 188
a = 190 adults
A. -12 units
B. -8 units
C. 8 units
D. 12 units
Answer:
D. 12 units
Step-by-step explanation:
l6l+l-6l=12
add the absolute values.
A pound of chocolate costs 7 dollars. Rachel buys p pounds. Write an equation to represent the total cost c that Rachel pays.
Answer:
c = 7p
Step-by-step explanation:
i think
f(x)=−2x
2
+8x−10
\text{Find }f(-4)
Find f(−4)
Answer:
-74
Step-by-step explanation:
f(x) = -2x^2 +8x -10
Let x = -4
f(-4) = -2 ( -4)^2 +8(-4) -10
= -2(16) -32-10
= -32 -32-10
= -74
Question 12 (2 points)
(08.04 MC)
Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as the data. Which of the following box plots shows the data accurately? (2 points)
a
A box plot is drawn with end points at 24 and 49.The box extends from 32 to 48 and a vertical line is drawn inside the box at 38.
b
A box plot is drawn with end points at 24 and 49.The box extends from 26 to 42 and a vertical line is drawn inside the box at 32.
c
A box plot is drawn with end points at 24 and 49.The box extends from 30 to 46 and a vertical line is drawn inside the box at 36.
d
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Answer:
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Step-by-step explanation:
Ordering the data given :
24,28,32,34,40,44,49
We can calculate the 5 number summary required to give the appropriate boxplot that can be produced :
Minimum = 24
Maximum = 49
Median = 1/2(n+1)th term
n = 7
Median = 1/2(8) = 4th term
Median = 34
Lower quartile, Q1 = 1/4(n+1)th term
n = 7
1/4(8) = 2nd term
Q1 = 28
Upper quartile : 3/4(n+1)th term
n = 7
Q3 = 3/4(8) = 6th term
Q3= 44
A wave with a frequency of 60 hertz would generate 60 wave crests every
Please show how you did it so I can learn
Answer:
C
Step-by-step explanation:
We have the equation:
[tex]4x^2+5x=-10[/tex]
Add 10 to both sides to isolate the equation.
[tex]4x^2+5x+10=0[/tex]
This is not factorable*, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = 5, and c = 10.
Substitute:
[tex]\displaystyle x=\frac{-(5)\pm\sqrt{(5)^2-4(4)(10)}}{2(4)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{-5\pm\sqrt{-135}}{8}[/tex]
Since we cannot take the root of a negative, we have no real solutions.
Our answer is C.
*To factor something in the form of:
[tex]ax^2+bx+c=0[/tex]
We want two numbers p and q such that pq = ac and p + q = b.
Since ac = 4(10) = 40. We need to find two whole numbers that multiply to 40 and add to 5.
No such numbers exist, so the equation is not factorable.
Answer:
c) No Real Solution
Step-by-step explanation:
I'ma try my best to explain it!
We have: 4x^2+5x=−10
Step 1: Subtract -10 from both sides.
4x^2+5x−(−10)=−10−(−10) (you don't put the -10 next to it but you put it in the bottom)
Then we get 4x^2+5x+10=0 from the subtraction above
For this equation: a=4, b=5, c=10
4x^2+5x+10=0
Then we use quadratic formula with a=4, b=5, c=10
The answer is the picture below: means no solution
Hope this helps and is correct!
- 1 7/8 + 2 1/4
Plz help im confused
[tex]0.375[/tex] ✅
Step-by-step explanation:
[tex] - 1 \frac{7}{8} + 2 \frac{1}{4} \\ = - \frac{15}{8} + \frac{9}{4} \\ = - \frac{15}{8} + \frac{9 \times 2}{4 \times 2} \\ = \frac{ - 15 + 18}{8} \\ = \frac{3}{8} \\ = 0.375[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Determine the time 2 hours and 7 minutes after 22:57
Answer:
01:04
Step-by-step explanation:
add 7 minutes to 22:57 to get 23:04. then add 2 hours to get to 01:04.
To rent an instrument from the school it costs a $50 insurance fee and then $350 per day of use. If Sally rents her instrument for 25 days before she buys her own, how much did she have to pay to rent one?
Answer:
$2,500
Step-by-step explanation:
$350 per day for 25 days
350*25=2450
Add the 50 for insurance and that makes it 2500
If its wrong im sorry
Answer:
8800 is the amount before she buys her own instrument
Step-by-step explanation:
350 x 25 = 8750
8750 + 50 = 8800
Find the area of each figure. (Or as much as u can)
9514 1404 393
Answer:
7. 91 m²
8. 56 in²
9. 105 in²
10. 135 m²
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
where b is the base length, and h is the height perpendicular to the base.
The formula for the area of a trapezoid is ...
A= 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them. Note that this formula is virtually identical to the triangle formula, with the triangle 'b' being replaced by (b1+b2).
__
Fill in the numbers and do the arithmetic. The result is shown in the attachment. (We have used the triangle formula for all, with b1+b2 being used for 'b' to find the area of the trapezoids.)
7. A = 1/2(14 m)(13 m) = 91 m²
8. 56 in²
9. A = 1/2(14 +16 in)(7 in) = 105 in²
10. 135 m²
Slope of a line joining —-
Answer:
?????????
Step-by-step explanation:
di ko po alam yan god bless po
SOMEBODY HELP ME ASAP
Answer:
B. 3x = 90
Step-by-step explanation:
m<QPS + m<RPS = m<QPR
Let m<RPS = x
Then m<QPS = 2x
2x + x = 90
3x = 90
Answer: B. 3x = 90
Find the distance between the two points. Round to the nearest tenth if necessary. (0, 7), (–12, –2)
Answer:
Distance = 15 units
Step-by-step explanation:
[tex]Let \ (x_1 , y_ 1 ) = ( 0 , 7 ) \ , \ (x _ 2 , y _ 2 ) \ = ( -12 , -2 ) \\\\Dsitance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1 )^2} \\\\[/tex]
[tex]= \sqrt{(-12 - 0)^2 + ( -2 - 7)^2} \\\\=\sqrt{12^2 + 9^2 }\\\\=\sqrt{144 + 8 1} \\\\= \sqrt {225 } \\\\= 15[/tex]
Answer:
( 12 , - 10 )
Step-by-step explanation:
Difference between the x points : 0 - ( - 12 ) = 12
Difference between the y points : - 12 - ( - 2 ) = -10
There fore the difference ( 12 , - 10 )
Hopefully this is what you mean
Have a nice day !
