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
Keesha will mow grass for $8 per hour write in standard form
Answer: y = 8x
Step-by-step explanation:
Solve the equations by substitution method: A. 2x-y-3=0 and 3x+4y=65.
Step-by-step explanation:
[tex]\sf 2x-y-3=0\dots \dots (1)[/tex]
[tex]\sf 3x+4y=65 \\ \implies\sf 3x+4y-65=0 \dots\dots(2)[/tex]
from eq (1)[tex]{:}\longrightarrow[/tex][tex]\sf 2x-y-3=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x-3=y [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 \dots\dots(3)[/tex]
Substitute the value in eq(2)[tex]{:}\longrightarrow[/tex][tex]\sf 3x+4y-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x +4 (2x-3)-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x+8x-12-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-77=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x=77 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {77}{11}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7 [/tex]
Substitute the value in eq (3)[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2 (7)-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=14-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=11 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf (x,y)=(7,11)}}}[/tex]
6 divided by 2/3 = tell me thee answer in fraction form
Answer:
There wouldn't be a fraction form because its a whole number which is 9
Marissa bought 4 cans of corn and 8 cans of green beans for a total of $7.00. Bob bought 8 cans of corn and 7 cans of green beans for a total of $8.60. Determine how much each can green beans cost.
Step-by-step explanation:
1 can of corn = c
1 can of green beans = b
Marissa-> 4c+8b=7
Bob-> 8c+7b=8.60
form a simultaneous equation:
4c+8b=7
8c+7b=8.60
find a common coefficient, e.g. make the number of cans of corn that Marissa has, equal to the number of cans of corn that Bob has, so you would multiply the top equation by 2, so both people have 8 cans of corn
8c+16b=14
8c+7b=8.60
now you can cancel out the cans of corn, and subtract the second equation from the first one, so you would get:
16b-7b=9b
14-8.60= 5.4
so, 9b=5.4, and b= 0.6
so 1 can of green beans would cost $0.60
according to exponent rules, when we multiply like bases, we ______ the exponents
You are given the following sequences: Sequence A: 5, 11, 17, 23... Sequence B: 4000, 1000, 250, 62.5... Part A: Determine whether each sequence is arithmetic, geometric (2 pts) Part B: Write an explicit formula for each sequence (6 pts) Part C: Find the 6th term of each sequence (2 pts)
Answer:
I believe the first is arithmetic because it has a difference Of 6 between each number. The second is geometric because each number is divided by 4 to get the next number
Step-by-step explanation:
5, 11, 17, 23, 29, 35. (Difference of 6)
4000, 1000, 250, 62.5, 15.62, 3.90 (divide by 4)
As for the formulas I’m not sure, but I I would guess something like
an=6n-1
an=n/4
I am not sure about the formulas though
on saturday keisha ran 2.175 kilometers. on sunday she ran 1.88 kilometers. how much farther did she run on saturday than on sunday?
Pls help fast I don't know what to do
Answer:
0.295
Step-by-step explanation:
you needed to subtract 2.175-1.88=0.295
What is the equation of the line shown in the coordinate plane below?
Identify if the following relations are functions (yes or no)? Identify the domain and range for each.
{(-6, 5), (-4, 3), (-1, 0), (4, 3)}
Answer:
Step-by-step explanation:
domains:-6,-4,-1,4
Range:5,3,0,3
will you include the image of the line so i can answer the rest of the question?
Evaluate the expression for 1/2(2x+8)+6x and explain your process
Answer:
7x+4
Step-by-step explanation:
1/2(2x+8)
=x+4
x+4+6x
=7x+4
PLS GIVE BRAINLIEST
Answer:
7x+4
Step-by-step explanation:
1/2(2x+8)+6x
divide by 2 or multiply 1/2 it equals the same anyway
x+4+6x
add like terms
7x+4
i need help with the group 1 and group 2, what do i write in the boxes :((
What is the value of ?
Answer:
65
Step-by-step explanation:
I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas?
Answer: Water: The battle between the clean vs the dirty :P
Step-by-step explanation:
Solve 3x2 + 4x = 2. ??
Answer: Answer: The answer should be x = -1. Hope this helps!
Ok now these are my very last points please help
Answer:
wait what grade are you in ?
what is the value of x that satisfies the following equation
1 over 3 ( x - 9) = 2 over 3 (2x + 6)
Answer:
x=-7
Step-by-step explanation:
BRAINLIEST PLS
(5i-3)(9i+1)
Answer must be in standard form
Answer:
-48-22i
Step-by-step explanation:
Fill in the blank so that the relation is NOT A FUNCTION. Type a number only in the blank. The blank represents the x-value of the last ordered pair. {(4.5),(0, -1), (-7,0). (-3,8). ( type your answer .. -1)
If p = 2 and q = 8, the value of p3 + V64 q ls____
Answer:
518
Step-by-step explanation:
P = 2
Q = 8
p3 + 64q
Multiply "p" (which is 2) with 3
Multiply "q" (which is 8) with 8
Add the two numbers you get
And you have you answer
I hope this helps. :)
What is the factored form of the expression 24x + 64y?
Answer:
8(3x+8y)
Step-by-step explanation:
Answer:
24x + 64y
Step-by-step explanation:
y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.
Answer:
9
Step-by-step explanation:
formula for inverse proportion is y = [tex]\frac{k}{x}[/tex]
k is the constant of probability
to find k,
y is 12, x is 6
12 = [tex]\frac{k}{6}[/tex]
so x = 12 × 6
∴ k is 72
so y = [tex]\frac{72}{8}[/tex]
∴ y is 9
I need help plz answer this
Answer: A. (5)(5x+2y)
Step-by-step explanation:
The sum of four times a number and negative three is twelve. What is the number?
2 1/4
3 3/4
-2 1/4
6
Answer:
Dgfyb
Step-by-step explanation:
-6 5 4 3 2 1
1 2 3 4 5 6
1
1-2
-3
Water Slide
Restrooms
-5
Answer:
I am sorry what are you showing
The volume of a solid cube is 1700m3.
Work out the surface area.
Give your answer rounded to 1 DP.
Answer:
849.7m2
Step-by-step explanation:
L= length
SA = surface area
volume = L x L x L
1700= L x L x L
find cube root
=11.93m
round off to 1 dp
=11.9m
SA= 6( L x L)
= 6( 11.9 x 11.9)
=6(141.61)
=849.66m2
round off to 1 dp
=849.7m2
Mofor spent half of his weekly allowance on
clothes. To earn more money his parents let
him clean the oven for $8. What is his
weekly allowance if he ended with $15?
Please explain how you got the answer.
A.
B.
C.
D.
Help me please!!
It's B!!! ik cuz i ggogled it lol
Answer:
I think the answer is B. $92
Step-by-step explanation:
$80 time (115 on calculator will give you 9200
The difference between two same side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.
Answer:
107.5° and 72.5°
Step-by-step explanation:
x + y = 180 same side interior angles of two parallel lines add up to 180
x - y = 35
___________
2x = 215 add above two equations
x = 107.5° divide by 2 to isolate x
Substitution to find y:
x + y = 180
107.5 + y = 180
y = 72.5°
The measure of these two angles is 107.5° and 72.5°.
Given that,
The difference between two same-side interior angles of two parallel lines is 35 degrees.We need to find the measure of the two angles. Here we assume the two angles be x and y.Based on the above information, the calculation is as follows:
x + y = 180
And,
x - y = 35
So, after solving it, it comes
2x = 215
x = 107.5°
So, y = 180 - 107.50 = 72.5
Therefore we can conclude that the measure of these two angles is 107.5° and 72.5°.
Learn more: brainly.com/question/13549064
Therefore we can conclude that
What is -19 equal to
Answer:
-19
Step-by-step explanation:
How would I create a graph for this equation? The equation is c=4.95+3.99b
Answer:
C is your y intercept 3.99b is your slope
Step-by-step explanation:
A plastic ball with a volume of 19.7
cm3 has a mass of 15.8 g. Would this
ball sink or float in a container of
gasoline (density of gasoline is 0.66-
0.69 g/cm3).
Answer:
as the density of the plastic ball is greater than the density of the gasoline it sinks
Step-by-step explanation:
D = 15.8 / 19.7
D = 0.80 g / c ^ 3
0.8> (0.66-0.69)
The density of the plastic ball is greater than the density of gasoline, the ball would sink in a container of gasoline.
Given that a plastic ball with a volume of 19.7 cm³ has a mass of 15.8 g.
We need to check if the ball sink or float in a container of gasoline if the density of gasoline is 0.69 g/cm³.
To determine whether the plastic ball would sink or float in a container of gasoline, we need to compare the density of the ball with the density of gasoline.
Density is defined as the mass of an object divided by its volume. In this case, the density of the plastic ball can be calculated as:
Density of ball = Mass of ball / Volume of ball
Given that the mass of the ball is 15.8 g and the volume is 19.7 cm³, we can calculate the density of the ball:
Density of ball = 15.8 g / 19.7 cm³
Density of ball ≈ 0.8 g/cm³
Now, we can compare the density of the ball with the density of gasoline, which is stated to be between 0.66 g/cm³ and 0.69 g/cm³.
Since the density of the ball (0.8 g/cm³) is greater than the density range of gasoline (0.66-0.69 g/cm³), the ball would sink in a container of gasoline.
Learn more about Density click;
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