Answer:
(3x - 5) (x + 3)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant:
3 x -15 = -45
Find two factors of -45 that equals 4:
-5 + 9 = 4
Rewrite the polynomial splitting 4 using -5 and 9:
3x2 - 5x + 9x - 15
Add up the first 2 terms, pulling out like factors:
x • (3x-5)
Add up the last 2 terms, pulling out common factors:
3 • (3x-5)
Add everything up:
Answer
(x+3) (3x-5)
You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the terms of year t. (Let t=16 represent 2016)
Complete Question
You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the terms of year t. (Let t=16 represent 2016)
2016 Value Rate
$2150 $250 increase per year
Answer:
The equation is [tex]V(t) = 250 (t) + 4.3[/tex]
Step-by-step explanation:
Generally linear equation is represented mathematically as follows
[tex]y = mx + c[/tex]
Where y is the dependent variable which in this case is dollar value of a product (V(t))
x is the independent variable which in this case is the time in years(t)
m is the slope which in this case is the rate at which the value of the product is expected to change during the next 5 years
So
[tex]V(t) = m t + c[/tex]
When t = 16 years
[tex]2150 = 250 (16) + c[/tex]
=> [tex]c = 4.3[/tex]
So the linear equation is
[tex]V(t) = 250 (t) + 4.3[/tex]
A classroom consists of 14 boys, 10 girls, and 1 teacher. Write the ratio of girls to boys. (Be sure to write your ratio all 3 ways.)
Answer:
10:14
10/14
10 to 14
about 0.71
Step-by-step explanation:
different way to write ratios
?:?
?/?
? to ?
decimal
(not sure which 3 ways so I'll just do all 4)
girl:boy
10:14
10/14
10 to 14
about 0.71
Answer:
Step-by-step explanation:
Given the number Line, what ray does not contain CB?
Answer:
[tex]\large \boxed{\mathrm{C }}[/tex]
Step-by-step explanation:
The ray CF does not contain the ray CB.
The number line, does not contain CB is CF. Therefore, option C is the correct answer.
What is line segment?A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.
In the given number, there are six divisions A, B, C, D, E, F.
Ray CB is in the line segment AD, AE, FA, BE, BF.
The number line, does not contain CB is CF. Therefore, option C is the correct answer.
Learn more about the line segment here:
https://brainly.com/question/25727583.
#SPJ2
Simplify: (6x-4) (9x-2)
Step-by-step explanation:
Hey, there!!
While simplifying the algebraic expression, you must be very careful about the signs.
Here,
(6x-4) (9x-2)
Multiply 2nd expression by 1st expression,
= 6x ( 9x - 2) -4 ( 9x - 2)
[tex] = (54 {x}^{2} - 12x) - (36x - 8)[/tex]
Opening brackets,
[tex] = 54 {x}^{2} - 12x - 36x + 8[/tex]
Simplifying them we get,
[tex] = 54 {x}^{2} - 48x + 8[/tex]
Therefore, the answer is 54x^2 - 48x +8.
Hope it helps..
Solve for x:
9x - 3 - 8x = 7 - x
x= -7
x=-2
x = 4
x = 5
Answer:
x = 5
Step-by-step explanation:
Given
9x - 3 - 8x = 7 - x , that is
x - 3 = 7 - x ( add x to both sides )
2x - 3 = 7 ( add 3 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Answer:
Step-by-step explanation:
Twelve decreased by two times a number is 8. Find the number.
Answer:2
Step-by-step explanation: 12-8=4 4/2=2
Answer:
x = 2
Step-by-step explanation:
We can make an equation that meets the requirements stated.
Decreased signifies subtraction, so 12 will reduce the value after it. A number can be any letter you'd like, but I'll stick to x. Since 2 is multiplying that number, we can make 2 the coefficient. Finally, set it equal to 8.
12 - 2x = 8 Subtract 12 from both sides of the equation.
-2x = -4 Divide by -2 on both sides of the equation.
x = 2
Christopher is designing a rectangular fence to go around his school's chicken coop The length should be 2 ft longer than the width Christopher marks two vertices of the rectangle at Pando in the coordinate plane PO is one of the shorter sides. Each unit in the coordinate plane represents ift Daw rectangle PORS in the coordinate plane to model the fence b. How many feet of long does wed to go around the chicken coop! pls help
Answer:
Christopher needs 24 feet of fencing. Your rectangle should be 5x7 feet.
Step-by-step explanation:
Line PO is 5 feet wide, and we know that the side across from it is 5 feet wide. 5+5=10. The longer sides are supposed to be 2 feet longer than the shorter sides, so they have to be 7 feet long. 7+7=14. 10+14=24.
solve the system of equations. please help asap! i appreciate it!
Answer:
B. (-1, 2) and (4,7)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
q+ad=m solve for d, i need help now please!
Answer:
d =(m-q)/a
Step-by-step explanation:
[tex]q+ad=m\\ad = m-q\\\frac{ad}{a} = \frac{m-q}{a} \\\\d = \frac{m-q}{a}[/tex]
Answer:
d = ( m-q)/a
Step-by-step explanation:
q+ad=m
Subtract q from each side
q-q+ad=m-q
ad = m-q
Divide each side by a
ad/a = ( m-q)/a
d = ( m-q)/a
Which phrase is equivalent to the expression (17×4)−35?
Answer:
-2380
Step-by-step explanation:
you first multiply 17 by 4
next multiply 68 by 35
you get 2380
finally add a negative sign in front of it
4 of the power of 5 times 4 of the power of negative 7 divided by 4 of the power negative 2
Answer:
1
Step-by-step explanation:
[tex] {4}^{5} \times {4}^{ - 7} \div {4}^{ - 2} \\ = \frac{ {4}^{5} \times {4}^{ - 7} }{ {4}^{ - 2} } \\ \\ = \frac{ {4}^{5 + ( - 7)} }{ {4}^{ - 2} } \\ \\ = {4}^{5 + ( - 7) + 2} \\ \\ = {4}^{5 - 7 + 2}\\ \\ = {4}^{7 - 7 } \\ \\ = {4}^{0} \\ \\ = 1 \: \: ( \because \: {a}^{0} = 1)[/tex]
plz i gotta turn it in today
2) B
3) C
it my answer it mybe not true
May someone answer me????
Q1. What is the solution set of 9x-4<13x-7
A. [1,2,3]
B. [1,2,3......]
C. [0,1,2,3...]
D. [0,1,2,3]
Answer:
[tex]\huge\boxed{B. [1,2,3,........]}[/tex]
Step-by-step explanation:
[tex]9x - 4 < 13 x - 7[/tex]
Combining like terms
=> [tex]-4 + 7 < 13x-9x[/tex]
=> [tex]3 < 4x[/tex]
Dividing both sides by 4
=> [tex]x > \frac{3}{4}[/tex]
=> [tex]x > 0.75[/tex]
This means that x can be any number that is greater than 0.75
So, The solution set = [1,2,3,........]
-8(2z - 7c) use z = 5 and c = 2
Answer:
The answer is
-8(2×5-7×2)
=-8(10-14).
= -8(-4)
= 32.
Find lcm of 861,1353 using methods
Answer:
Step-by-step explanation:
3 ∣ 861,1353
______________
41 ∣ 287,451
______________
7 ∣ 7,11
______________
11 ∣ 1,11
______________
1,1
LCM = 3 × 41 × 7 × 11
= 9471.
Hope this helps
plz mark as brainliest!!!!!!
Answer:
861 = 3×7×41
1353 = 3×11×41
LCM = 3×7×11×41
= 9471
Step-by-step explanation:
I NEED HELP WITH THIS FAST!! PLS Which of the following is the midpoint of the line segment with endpoints (-2, – 4) and (6, 8)?
A. (2, 2)
B. (2, 4)
C. (4, 4)
D. (4, 6)
Answer:
A
Step-by-step explanation:
x-3 divided by 4 = 12
Answer:
x = 51
Step-by-step explanation:
(x-3) /4 = 12
Multiply each side by 4
(x-3) /4 *4 = 12*4
x-3 = 48
Add 3 to each side
x-3+3 = 48+3
x = 51
Answer:
[tex]\Huge \boxed{x=51}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x-3}{4} =12[/tex]
Multiplying both sides by 4.
[tex]\displaystyle \frac{x-3}{4} *4=12 *4[/tex]
[tex]x-3=48[/tex]
Adding 3 to both sides.
[tex]x-3+3=48+3[/tex]
[tex]x=51[/tex]
[tex]\rule[225]{225}{2}[/tex]
Which formula defines the sequence f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14.
f(5) = 18?
Answer:
2 + 4(n-1).
Step-by-step explanation:
As x increases from 1, f(x) increases by 4.
Arithmetic sequence.
So the formula is a1 + d(n - 1)
= 2 + 4(n-1).
The function which defines the series will be 2 + 4(n-1).
What is a number series?
A series of numbers is called a number series. We must identify the laws that lead to the production of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.
Given functions are f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14 f(5) = 18. The sequence will be represented by the function:-
As x increases from 1, f(x) increases by 4. Arithmetic sequence.
F = a₁+ d(n - 1)
F = 2 + 4(n-1).
Therefore, the function which defines the series will be 2 + 4(n-1).
To know more about the number series follow
https://brainly.com/question/6561461
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write a letter to your friend and tell him at least three reasons why he should come to your school
Answer:
hi my friend I can't come to the school because of these three reasons is
1)I went to tirupati
2)I got I'll
3)I went to my grand parents house
this is your answer bro
Can someone please help?
Answer:
Even
Step-by-step explanation:
An odd number added by an odd number will equal an even number.
Good luck :)
Answer:
Even
Step-by-step explanation:
All the answers to adding up odd numbers in the bellow examples shows even answers.
Need an answer I need help?
Answer:
You need help or I need help?
Step-by-step explanation:
(I typed with a keyboard)
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
Answer:
10.8 we're attempted.
Step-by-step explanation:
60% of 18 is 10.8
show all work to multiply 3 plus the square root of negative 16 times 6 minus the square root of negative 64
Answer:
[tex]\Huge \boxed{3+16i}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]3+\sqrt{-16} * 6-\sqrt{-64}[/tex]
Using imaginary number rule : [tex]\sqrt{-n} =\sqrt{n} *i[/tex]
Where [tex]n[/tex] is a positive integer.
[tex]3+\sqrt{16} *i* 6-\sqrt{64}*i[/tex]
[tex]3+4i* 6-8i[/tex]
Multiplying.
[tex]3+24i-8i[/tex]
Combining like terms.
[tex]3+16i[/tex]
[tex]\rule[225]{225}{2}[/tex]
Answer:
3 + 16i
Step-by-step explanation:
3 + √-16 * 6 - √-64
= √-16 * 6 = 24i; √-16 * 6; √-16 = 4i
= 4 * 6i multiply the numbers 4 * 6 = 24
= 24 i
√-64 = 8i; √64 apply a radical rule
= √-1 √64
= √64 i; √64 = 8
= 8i
= 3 + 24i - 8i
= 3 + 16i
What is the quotient when the product of 20 and 5 is divided by the sum of 20 and 5?
Answer:
=4
Step-by-step explanation
(20x5) divided by (20+5)
100 divided by 25=4
Answer:
its 4
Step-by-step explanation:
5 four times is 20. Count by fives and once you get to 4 you'll get 20.
3. Find the value for x that makes the following equation true.
3x - 7 = x + 3
A)x = -5
B) x = 2
C) x = 5
D) x = -2
Can someone please help me out ??
Answer:
C
Step-by-step explanation:
So we have the equation:
[tex]3x-7=x+3[/tex]
Subtract x from both sides. The right cancels:
[tex](3x-7)-x=(x+3)-x\\2x-7=3[/tex]
Add 7 to both sides. The left cancels;
[tex](2x-7)+7=(3)+7\\2x=10[/tex]
Divide both sides by 2:
[tex](2x)/2=(10)/2\\x=5[/tex]
So, our answer is C
Answer:
C) x = 5
Step-by-step explanation:
A) 3(-5) - 7 = (-5) + 3
-15 - 7 = (-5) + 3
-23 = (-5) + 3
-23 = -2 (they do not equal the same so no)
B) 3(2) - 7 = (2) + 3
6 - 7 = (2) + 3
-1 = (2) + 3
-1 = 5 (they do not equal the same so no)
C) 3(5) - 7 = (5) + 3
15 - 7 = (5) + 3
8 = (5) + 3
8 = 8 (they equal the same so yes)
D) 3(-2) - 7 = (-2) + 3
-6 - 7 = (-2) + 3
-13 = (-2) + 3
-13 = 1 (they do not equal the same so no)
A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly? Show your work to receive full credit.
Evaluate if x = 1 , y = 3 , and z = 5
|5z - 2y|
Answer:
1
Step-by-step explanation:
Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 15, and 13
Choose the correct
Answer:
15x + 13
Step-by-step explanation:
Product of a number 'x' & 15 : x *15 = 15x
Sum of 15x & 13:
15x + 13
If A = {1, 2, 3, 4} and B = {4, 5, 6}, find A ∪ B.
Answer:
{ 1,2,3,4,5,6}
Step-by-step explanation:
20 points!!! please please help I don't understand how to do this :( please explain it so that I can do problems similar
Answer:
Line n
Step-by-step explanation:
We see on the picture that XM=MY
So M is midpoint of the segment XY
Line n passes through midpoint M, so it is the segment bisector of XY
Correct choice is Line n