Answer:
(x + 2)(2x - 7)
Step-by-step explanation:
Given
2x² - 3x - 14
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 14 = - 28 and sum = - 3
The factors are - 7 and + 4
Use these factors to split the x- term
2x² + 4x - 7x - 14 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 7(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 7)
Thus
2x² - 3x - 14 = (x + 2)(2x - 7) ← in factored form
i need this asap !
write the equation of a line perpendicular to y=-2x+8 that passes through the point (-4,1)
Answer:
y = 1/2x + 3.
Step-by-step explanation:
y = -2x + 8
Gradient = -2
Gradient of the line passing through point (-4,1)
is given as 1/2. i.e it is perpendicular to y = -2x + 8
Its equation is given as:
y - y1 = m(x - x1)
y - 1 = 1/2(x -(-4))
y - 1 = 1/2(x + 4)
y - 1 = 1/2x + 2
y = 1/2x + 3.
all poets are loners. All loners are taxi drivers. therefore, all poets are taxi drivers
is this valid or invalid?
Answer:valid
Step-by-step explanation:
Gavin has 50 tokens in KG use the weather roller coaster three times every hour. Gibson has 12 tokens And fines two more tokens on the ground each hour. How long until they have the same amount number of tokens
Answer:
They have the same amount of tokens after t = 7.6 hours
Step-by-step explanation:
Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour. So, the number of token he losses after t hours is 3 token per hour × t hours = 3t. Thus, the number of tokens left after t hours is T = 50 - 3t
Since Gibson initially has 12 tokens and finds two tokens on the ground per hour, he gains 2 tokens per hour. So, the number of token he gains after t hours is 2 token per hour × t hours = 2t. Thus, the number of tokens he has after t hours is T' = 12 + 2t
To calculate the time t when they will have the same tokens, T must be equal to T', that is T = T'.
So, 50 - 3t = 12 + 2t
collecting like terms, we have
50 - 12 = 3t + 2t
38 = 5t
dividing both sides by 5, we have
t = 38/5
t = 7.6 hours
So, they have the same amount of tokens after t = 7.6 hours
according to exponent rules, when we multiply like bases, we ______ the exponents
yeah so can u help me
Answer:
5 + (-9) = -4
I hope this helps!
Need Help ASAP
Formula 1 can be written alternatively as formula 2. Use algebra to show your steps how formula 1 can be manipulated to create formula 2.
Formula 1:
[tex]f(n)=\left\\ ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}\,}[/tex]
Formula 2:
[tex]f(n) = 440 (2)^{\frac{n-49}{12} }[/tex]
Answer:
Steps are shown
Step-by-step explanation:
Exponent Rules
We need to recall this fundamental rule for exponents:
[tex]\displaystyle \sqrt[n]{a^m}=a^{m/n}[/tex]
We are given the expression:
[tex]f(n)=\left ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}[/tex]
We'll use algebra and the above rule to manipulate the expression.
First, get rid of the unit Hz and move the coefficient 440 to the left:
[tex]f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}[/tex]
Now we convert the radical into an exponent form:
[tex]\displaystyle \left ({\sqrt[{12}]{2}}\,\right)^{n-49}=(2)^{\frac{n-49}{12}}[/tex]
Substitute:
[tex]f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}=440~(2)^{\frac{n-49}{12}}[/tex]
This is the very same expression in formula 2, as required.
Chinisa is swinging on a swing. Her maximum height above the ground is 7 feet and her minimum height above the ground is 1 foot.
Select all of the equations that could model Chinisa's height above the ground (y) after x seconds of swinging assuming that the x-axis represents the ground.
A.
y = 6 sin(2x) + 4
B.
y = 6 cos(2x) + 4
C.
y = 6 tan(2x) + 4
D.
y = 3 sin(2x) + 4
E.
y = 3 cos(2x) + 4
F.
y = 3 tan(2x) + 4
Maddox is stacking cans to make a display at the grocery store. The bottom row of the stack has 20 cans. Each row has 4 fewer cans than the row below it until there are no cans left.
How many rows of cans are in Maddox’s stack
Answer: 5
Step-by-step explanation:
I need help with this question right now please and thank you!
|10 7/9|,|-9 9/8|, |-10 4/9|, |-10 5/9|, |-10 8/9|
The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail.
What is the length of the kite?
7 ft
10 8/15 ft
5 2/3 ft
4 2/3 ft
Answer:
c i think your answer is c
Step-by-step explanation:
100 POINTS GEOMETRY QUESTION PLEASE ANSWER !!!!!!
Answer:
Step-by-step explanation:
ABC have sides: 5, 7 and 10
5^2 + 7^2 = 25+47 = 72 < 10^2
so triangle ABC is obtuse
JKL has sides: 12, 35 and 37
12^2 + 35^2 = 144 + 1225 = 1369 = 37^2
so triangle JKL is right-angled
PQR has sides 12, 10 and 16
12^2 + 10^2 = 144 + 100 = 244 > 16^2
so triangle PQR is acute
Answer:
Step-by-step explanation:
missing the Q: it asks 2 classify the triangles.
so the ans:
ABC - obtuse
JKL - right-angled
PQR - acute
Jennifer has already written 34 pages, and she expects to write 1 page for every additional
hour spent writing. How many hours will Jennifer have to spend writing this week in order
to have written a total of 48 pages?
Answer:
14 more hours
Step-by-step explanation:
Answer:
14 hours
Step-by-step explanation:
48 - 34 is 14, so every page is an hour, so 14 hours
Someone please answer! 8th grade math question.
Answer: there is 3 terms
Step-by-step explanation: each term is separated by a sybol (addition, substation, multiplication, etc).
the length of the Triangle are 5 inches amd 8 inches. which of the following lengths could be the length of the third side of triangle? select all apply
a = 5 inches
B= 13 inches
C = 7 inches
D = 4 inches
Answer:
A, C, DStep-by-step explanation:
Triangle inequality theorem states than the sum of any two sides must be greater than the third sideA = 5 inches
CorrectB = 13 inches
Incorrect as 5 + 8 = 13C = 7 inches
CorrectD = 4 inches
CorrectHow do I solve this equation?
Answer:
X = 4 X = -6
Step-by-step explanation:
X + 1 = 5 X + 1 = -5
X = 5 - 1 X = -5 -1
X = 4 X = -6
Answer:
Step-by-step explanation:
What absolute values of x will fit.
l4+1l=5
l -6+1l=5
Enter the number in standard notation.
7.037 x 10^9 =
Answer:
7,037,000,000
Step-by-step explanation:
Move the decimal to the right 9 times
70.37 1
703.7 2
7,037.0 3
70,370.0 4
703,700.0 5
7,037,000.0 6
70,370,000.0 7
703,700,000.0 8
7,037,000,000 9
HELP ME PLEASE! how do you write 610 as a scientific notation ??
On a piece of paper, graph y< - 3/4 x + 2. Then determine which answer choice matches the graph you drew.
A
B
C
D
This graph represents inequality y < - 3/4 x + 2 which is correct option(A).
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
This graph represents inequality y < - 3/4 x + 2
Learn more about graph
https://brainly.com/question/16608196
#SPJ2
Write the equation of the line with a
slope of -2 and passes through (4, -1).
Answer:
Step-by-step explanation:
y=mx+b
y= -2x + 3[tex]\frac{1}{2}[/tex]
hope this helped :)
Solve
2x- 4 = -3 +3
Answer:
x=2
Step-by-step explanation:
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50. How much popcorn can you buy per dollar? Do not include units (oz) in your answer.
Answer:
4
Step-by-step explanation:
$2.50 → 10 ounces
$1.00 → (10/2.50 x 1.00) ounces = 4 ounces
NEED HELP ASAP!!!
Which function does this graph represent?
A. F(x)= 3 (x+1)^2+2
B. F(x)= -3 (x+1)^2+2
C. F(x)= -3 (x+1)^2+2
D. F(x)= 3 (x-1)^2+2
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies as directly as the square of x, and y = 75/8 when x = 5, find y when x= 2
Answer:y=15/4
Step-by-step explanation:
start with general form y = kx. substitute in the pair of values you know for x and y.
75/8 = k(5) multiply both sides by 1/5 to solve for k, getting
15/8 = k
So your equation is y = (15/8)x substitute 2 for x to find your new y.
y = (15/8)2
y = 15/4
what is the experimental probability of rolling a 3 or 4?
If it's 3 or 4 the probability is:
2/6 or 1/3
We call the outcomes in an event its "favorable outcomes". If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is .
I’m kinda confused of where I out the yes
Answer:
put the yes in the second box, fourth box, and fifth box.
Step-by-step explanation:
trust me, your welcome
12.Simplify (4x + 7)2- (4x – 7)2
Answer:
28
Step-by-step explanation:
are you asking for ^2? The power of 2 is differnet than just 2
also brainliest pls
Thanks guys for the help! heres another question
Answer:
Step-by-step explanation:
Putting values in the equation
1/3 / 1/2 = 0.166
Answer:
lol i already answered this its 2/3
Step-by-step explanation:
im not typing it again u can look at ur other question tho i put it there lol
Bill has a large collection of paperback books. He decided to donate 1/3 of them to his local library. If he had 126 to start with, how many does he have left?
Answer:
42
Step-by-step explanation:
-30<x/-4 answer must be simplified
Answer:
x<120
Step-by-step explanation:
-30<x/-4
In order to simplify this, we must isolate the x value by multiplying both sides by -4
Since we are dealing with inequalities and we are multiplying by a negative number, we have to switch the sign (<,>)
-30(-4)>x
x<120
how to find the y-intercept from a table AND from a graph.
Answer:
When Finding the Y-Intercept from a Graph and Table, you are searching for the point of intersection between the equation and the y-axis. When finding the Y-Intercept from a Graph, you should find where the line from the equation crosses the y-axis. The point where the equation crosses the y-axis is the Y-Intercept.
Step-by-step explanation: