Answer:
(3x+1)(4x-1)
Step-by-step explanation:
you can reorder the terms to make it less confusing to 12x^2+x-1
write x as a different 12x^2+4x-3x-1
factor out 4x 4x(3x+1)-3x-1
factor out the negative sign 4x(3x+1)-(3x+1)
factor out 3x+1
(3x+1)(4x-1)
Harry had $32. He spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each. If Harry had bought five notebooks and five packs of index cards, he would have run short by $18. The following system of equations models this scenario: 3x 4y = 32 5x 5y = 50 Use the system of equations to solve for x and y. (8, 2) (1, 5) (2, 8) (5, 1).
Answer:
x = notebooks
y = indexboks
3x+4y=32 ( here is spent all money so I add 32 here )
5x+5y=50
by elemination method
3x+4y=32×5
5x+5y=50×4 ( here I'm going to eliminate y )
15 x+20y= 160
20x+20y= 200
- - = -
____________
-5x = -40
x = - 40 / -5
x = 8
here - × - = + so iam taking positive 8
now substitute the value of x in any equation
3×8+4y = 32
24 + 4y = 32
4y = 32-24
y = 8 / 4
y = 2
CHECKING
SUBSTITUTE BOTH VALUES IN ANY EQUATION
5×8+5×2 = 50
40 + 10 = 50
50 = 50
I SUBSTITUTE IN 2ND EQUATION
Answer:
(8,2)
Step-by-step explanation:
Given that:
3x + 4y = 32 --------- eq1
5x + 5y = 50 --------- eq2
From taking 5 common from eq2:
x + y = 10
Or it can also be written as:
x = 10 - y ----------eq3
Now put this value of x in eq1
3(10 - y) + 4y = 32
By simplifying:
30 - 3y +4y= 32
30 +y = 32
Subtracting 30 from both sides:
y = 32 - 30
y = 2
Putting value of y in eq 3
x = 10 - 2
x = 8
10^5 =
easy question
[tex] \: \: \: [/tex]
[tex] \pink{100000}[/tex]
step-by-step explanation
[tex] {10}^{5} [/tex]
write the exponentiation as a multiplication[tex]10 \times 10 \times 10 \times 10 \times 10[/tex]
multiply the number[tex] = \pink{100000}[/tex]
hope it helps
Answer:
The solution is 100.000
Step-by-step explanation:
10⁵
= 10×10×10×10×10
= 100×10×10×10
= 1.000×10×10
= 10.000×10
= 100.000
hello please look in the comments
Answer: Alright, I did UnU
Which statement is true about this equation? 3(-y 7) = 3(y 5) 6.
The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;
Statement A; The equation has one solution, y = 0
The given equation is;
3(-y + 7) = 3(y + 5) + 6
Expanding the brackets gives us;
-3y + 21 = 3y + 15 + 6
-3y + 21 = 3y + 21
Using subtraction property of equality, subtract 21 from both sides to give;
-3y = 3y
Using addition property of equality, add 3y to both sides to give;
-3y + 3y = 3y + 3y
6y = 0
Using division property of equality, divide both sides by 6 to get;
y = 0
Read more about factorization at; https://brainly.com/question/11000698
The missing statements are;
A. The equation has one solution, y = 0.
B. The equation has one solution, y = -1.
C. The equation has no solution.
D. The equation has infinitely many solutions.
The mean length of time, per week, that students at a certain school spend on their homework is 24.3 hours, with a standard deviation of 1.2 hours. Assuming the distribution of study
imes is normal, what percent of students spend more than 25 hours per week on homework?
Round
your answer to the nearest hundredth.
Answer:
21.1%
Step-by-step explanation:
(25 - 24.3) / 1.2 = 0.5833 z score = 78.9%
You need the percent that spend more than 25 hrs per week, so 100 - 78.9 = 21.1%
It took Mr. Jefferson 20 minutes to ride the 5-mile path along the lake at a constant speed on his bike. Which equation below could be used to determine the number of miles, x, Mr. Jefferson could ride in 12 minutes at that same constant speed?
Answer:
Part A. 4x
Part B. Mr. Jefferson could ride 3 miles in 12 minutes
Step-by-step explanation:
Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.
Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.
__________________________________________________________
Hope this helps!!!
If I am incorrect, please tell me; I enjoy learning form my mistakes:)
Combine the like terms to create an equivalent expression.
\large 9p+3p
Step-by-step explanation:
there is not much here.
all I can see is
9p + 3p
and that is 12p (as 9+3 = 12)
please help me asapppp
ty :)
Answer:
The slope of this parallel line is 3.
Step-by-step explanation:
Parallel lines have the same slope. The given line y = 3x - 2 has the slope 3. Therefore the desired parallel line also has the slope 3. This is all that is necessary to answer this question.
The slope of this parallel line is 3.
pls help. i don't like math
Answer:
X = 5 3/8 (5 and 3 eighths)
Step-by-step explanation:
4/5x = 5 1/5 - 9/10
4/5x = 43/10
x=43/8
x= 5 3/8
Answer:
Exact Form: x=43/8
Decimal Form: 5.375
Mixed number form: x= 5 and 3/8
Step-by-step explanation: here is the steps
Jenny received a $30.50 gift card for a photo center. She used it to buy prints that cost 20 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
b=−30.50-0.20x
What is the remaining balance on the card if Jenny bought 30 prints?
The remaining balance on the card is $24.50.
The balance on the card after buying the prints is the value of the gift card less the total cost of the prints
Balance = value of the gift card - total cost of the prints
Total cost of the prints = cost per print x number of prints bought
0.20 x 30 = $6
Balance = $30.50 - $6 = $24.50
To learn more about the total purchase price of an item, please check: . https://brainly.com/question/25717996
What is the length of side AB of the triangle? (1 point)
a 3
b 5
c Square root of 6
d Square root of 13
Find the slope of the line (-3,-2),(1,-2)
Answer:
0
Step-by-step explanation:
The y-axis is the same so the slope has to be zero, since the line is not going vetrically anytime on the graph
Which diagram is not a function please a need explanation
Answer:3
Step-by-step explanation:
It is because the letters in diagram A cannot go to 2 seperate numbers in diagram B
The product of double the number four
!!!Translate the following sentence into a variable expression!!!
Someone please help i forgot how to do math aaaaaaaaaa
Answer: Refer to Step-by-step explanation
Step-by-step explanation:
To find the MAD
Step 1 Find the mean of the data.
Step 2 Find the distance between each data value and the mean.
Step 3 Add the distances together from Step 2
Step 4 Divide the sum in Step 3 by the total number of values in the data.
1) MAD = 21.36
2) Mean = 56
MAD = 3.75
3) Mean = 57
MAD = 16.67
Find the value of x so that the function has the given value. g(x)=8x-11;(x)=5
Answer:
29
Step-by-step explanation:
Find the inverse function. f(x) = (x + 1
Answer:
( x + 1 ) ^ 3
Step-by-step explanation:
f(x) = 3√x - 1
replace x with y
x = 3√y - 1
solve for y,
x = 3√y - 1
x^3 + 3x^2 + 3x + 1 = (x+1)^3
HOPE THIS HELPS :)
round 8.6 to the nearest whole number
Answer:
the answer is 9
Step-by-step explanation:
Lena buys candy that costs $7 per pound. She will buy less than 12 pounds of candy. What are the possible amounts she will spend on candy
Answer:
Lena can buy candy in infinite no of ways with the possible amounts:-
1 pound of candy = $7
1.1 pound of candy = $7.7
2 pounds of candy = $14
3 pounds of candy = $21
4 pounds of candy = $28
5 pounds of candy = $35
6 pounds of candy = $42
7 pounds of candy = $49
8 pounds of candy = $56
9 pounds of candy = $63
10 pounds of candy = $70
11 pounds of candy = $77
11.9 pounds of candy = $83.3
Convert ratio to fraction simplified. 25:45
15×15×2+10-1=?
HELP!!! answering is worth 69 (hehe nice) points, will mark brainiest if you can make me laugh in the while of answering the question :)
Answer:
459
Step-by-step explanation:
15×15×2+10-1
15×15= 225 × 2 +10 - 1
225 × 2= 450 + 10 -1
450 + 10 = 460 - 1
460 - 1 = 459
A little true story:
A five your old boy (little boy blue( was out with is siblings when he fell over a bridge and passed away. Now at the very same river he passed all you have to do is go up there turn off your lights and put baby powder all over you car and sit and wait. Soon enough you will see a little blue light and than little hand prints on your car.
Help Please 100 pts for the answer! Need answer ASAP
Answer:
-25/1 or -25
Step-by-step explanation:
Answer:
-25/1 or -25
Step-by-step explanation:
there hope this will help a lot
Which expression is equivalent to 9x – 2x2 + 4x – x?
Answer:
-2x^2+12x
Step-by-step explanation:
PLS HELP MEE :((
Write an equation representing the area Felicia covered, y, in terms of the number of tiles she used, x.
y =
Answer:
Check the picture below
Step-by-step explanation:
Find the zeros of ƒ(x) = x3 + 6x2 + 8x.
A) x = 0, –2, –4
B) x = 0, 2, 4
C) x = 2, 4
D) x = –2, –4
Answer:
Option A: [tex]x=0[/tex], [tex]x=-2[/tex], and [tex]x=-4[/tex]
Step-by-step explanation:
[tex]f(x)=x^3+6x^2+8x[/tex]
[tex]0=x^3+6x^2+8x[/tex]
[tex]0=x(x^2+6x+8)[/tex]
[tex]0=x(x+2)(x+4)[/tex]
[tex]x=0[/tex], [tex]x=-2[/tex], and [tex]x=-4[/tex]
[tex]x^3+6x^2+8x = 0\\\\\implies x^3+2x^2 +4x^2+8x =0\\\\\implies x^2(x+2) +4x (x+2) =0\\\\\implies (x+2)(x^2 +4x) = 0\\\\\implies x (x+2) (x+4)=0\\\\\text{Hence,} \\\\x = 0 ,-2,-4[/tex]
Billy is ordering 7 identical sandwiches and a drink. The drink costs $2.5 and the entire order costs $140.5. Write an equation you can use to find the price of a sandwich.
Answer: $17.92/sandwich
Step-by-step explanation:
Let S be the price of a sandwich ($/sandwich).
7S is the total cost of the sandwiches. Add a drink for $2.50 to find the total cost, which we are told comes to $140.50
7S + $2.50 = $140.50
7S = $138
S = $19.7143
It is odd that this includes a fraction of a single penny (0.43 cents). Something is incorrect in the data given, since this should equal a whole number. For now, I'll round up to $19.72. The additional 7*($0.0043) = 4 cents will be treated as a tip.
15 x squared + 31 x = negative 10 a. x = two-fifths, five-thirds c. x = negative two-fifths, negative five-thirds b. x = five-halves, three-fifths d. x = negative five-halves, negative five-thirds
Answer:
A
Step-by-step explanation:
espero que mi respuesta ayude
hope my answer helps
What is another word for change in y
When finding the slope of real-world situations, it is often referred to as rate of change. change in y Rate of change = change in x change in height change in time The average rate of change or a rider between 0 and 5 seconds is —24 ft/s. magnitude relation. Another synonym is "velocity".
Hope this helps
Solve the quadratic equation given.
6x2 - 24 = 0
[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
76 % of 150 calculate this