Answer:
[tex]2(3r-2)(r+3)[/tex]
Step-by-step explanation:
Factor [tex]6r^2+14r-12[/tex]
[tex]6r2+14r-12[/tex]
[tex]=2(3r-2)(r+3)[/tex]
Answer:
[tex]2(3r-2)(r+3)[/tex]
Step-by-step explanation:
[tex]6r^2+14r-12[/tex]
Start by factoring out the greatest common factor, [tex]2[/tex]:
[tex]2(3r^2+7r-6)[/tex]
Factor out the trinomial in the parentheses using the "Reverse FOIL" method (Write 2 parentheses and factor out the trinomial into them):
[tex]2(3r-2)(r+3)[/tex]
_
To check:
(Multiply First, Outside, Inner, Last):
[tex]2(3r^2+9r-2r-6)[/tex]
Combine like terms:
[tex]2(3r^2+7r-6)[/tex]
Distribute the [tex]2[/tex]:
[tex]6r^2+14r-12[/tex]
50 POINTS!!!
Write two linear functions, f(x) and g(x). For example, f(x) = 3x – 7 and g(x) = –2x + 5. Then see whether f(x) – (–g(x)) is equivalent to f(x)+ g(x). Hint: To find –g(x), just change the signs of all the terms in g(x). Discuss whether you think your results would apply to every function.
This can be any equation that would work for this, there is no specific answer.
9514 1404 393
Answer:
f(x) = xg(x) = -2x+1f(x) -(-g(x)) = -x+1f(x) +g(x) = -x+1f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or notStep-by-step explanation:
We can define a couple of linear functions as ...
f(x) = x
g(x) = -2x+1
Then the reflected function -g(x) is ...
-g(x) = -(-2x +1) = 2x -1
And the difference from f(x) is ...
f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))
We want to compare that to the sum of the functions:
f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)
The two versions of the function expression have the same value.
These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.
Answer:
f(x) = x
g(x) = -2x+1
f(x) -(-g(x)) = -x+1
f(x) +g(x) = -x+1
f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not
Step-by-step explanation:
We can define a couple of linear functions as ...
f(x) = x
g(x) = -2x+1
Then the reflected function -g(x) is ...
-g(x) = -(-2x +1) = 2x -1
And the difference from f(x) is ...
f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))
We want to compare that to the sum of the functions:
f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)
The two versions of the function expression have the same value.
These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.
Megan scored 80% on a test. She got 20 questions correct. How many questions were on the test?
Answer:
25
Step-by-step explanation:
I'm writing this to get to the 20 character minimum
Answer:
26 Questions
Step-by-step explanation:
Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements: 1. As x increases infinitely, the y-values are continually doubled for each single increase in x. 2. As x decreases infinitely, the y-values are continually halved for each single decrease in x. She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine's statements and her conclusion?
Answer:
"as x increases infinitely, the y-values are continually doubled for each single increase in x".
Step-by-step explanation:
Given the exponential equation f(x) = 2x of which Geraldine is asked to explain the limits on the range, the expression that best explains the accuracy of Geraldine's statements and her conclusion is that "as x increases infinitely, the y-values are continually doubled for each single increase in x".
for example let y = f(x) so thet y = 2x
for every va;ues of x, y will be doubled as shown;
If x = 1
y = 2(1) = 2
If x = 2
y = 2(2) = 4
If x = 3
y = 2(3) = 6
I can be seen that the value of y doubles for all values of x hence making her first statement accurate.
The second statement 'As x decreases infinitely, the y-values are continually halved for each single decrease in x'. is not totally right because the y values may not be halved for some values of x as x increases.
Her conclusion is not also right because there are limits within the set of real numbers on the range of this exponential function. for every value of x, y will always tend to a real value.
Write the equation of the parabola in vertex form.
Vertex: (−4,6); Point: (−2,−2)
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
You bought 12 red apples and 15 green apples to make a pie.
What is the ratio of the number of red apples to the total number of apples?
4 over 9
Answer:
12 over 27 = 4 over 9
Step-by-step explanation:
12 over (12 + 15) = 12 over 27 = 4 over 9
Can someone please help me?
Answer:
4
Step-by-step explanation:
It is 4 because there are 4 pea pods with 3 peas in each pod.
Answer:
2
Step-by-step explanation:
Pls help me ASAP!!!!!
Answer:
2 4/5
Step-by-step explanation:
You first see how many times the bottom number can fit in the top number. The number 5 can go in 14 two times. It can't go in three because then it would be over 14. So you take that "2" and that is your hole number and you are left with 4/5. so 2 4/5
Answer:
It is c, 2 4/5
Step-by-step explanation:
5 goes into 14 2 times with 4/5 left over
Is this equation an example of a literal equation? Why?
Answer:
yes this is...,.,.,.....
prime factorization of 45 expanded form
The prime factorization of 45 would be 5×9, and 9 is 3×3, so 45 would be 5×3^2.
If this was helpful I strongly encourage making me Brainliest!
-1/10 divided by 1/6
[tex]-0.6[/tex]
For more help, Take a look at this chart.
Answer:
-3/5
Step-by-step explanation:
-1/10 divided by 1/6
-1/10 x 6/1
-6/10 the divided by 2
-3/5
Can you please answer this my homework is due ✨
This is it if you can’t solve it it’s fine!
Answer:
is 115
Step-by-step explanation:
i think since 7 checks equal 50, 14 must equal 100. and the other kid already had 15 dollars i think so that makes sense......... i think
Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
If cat and dog start running away from each other how far away from each other will they be after 30 minutes?
Answer;
They will be 0.5x miles away from each other
Explanation;
Since the dog runs twice the speed of the cat
Its speed will be 2 * x = 2x mph
Now we want to know how far they will be from each other after 30 minutes
Kindly note that 30 minutes is 1/2 hour
Mathematically;
distance = speed * time
Distance of cat = x * 1/2 = 0.5x miles
Distance of dog = 2x * 0.5 = x miles
The dog is x - 0.5x miles = 0.5x miles away from the cat
They will be 0.5x miles away from each other.
Calculation of the distance:Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
So here the speed of the dog should be 2x
Now we know that
[tex]Distance = speed \times time\\\\[/tex]
Here distance of cat should be x of 30 minutes or half hour = 0.5x miles
And, Distance of dog should be 2x of 0.5 = x miles
So, the difference should be
= x - 0.5
= 0.5x miles
hence, They will be 0.5x miles away from each other.
Learn more about speed here: https://brainly.com/question/1825528
A company ships 26 refrigerators in a truck Each refrigerator weighs 309 pounds. What is the total weight of the refrigerators in the truck?
O 2,472 pounds
7,884 pounds
O 8,034 pounds
O 8,294 pounds
Answer:
8034
Step-by-step explanation:
C'mon!!.... easyyyy
309x26 =8034
What Is The Slope Of the Line
Answer:
2/2.5 or 3/4 I pretty sure that's right
A tortoise makes a journey in two parts it can either walk at 4cm/s or Crawl at 3cm/s if the tortoise walks the first part and crawl the seconds it takes 100 seconds find the length of the two parts of the journey
Answer:
walking 57 seconds Crawling 43 seconds
Step-by-step explanation:
100s
Walking + crawling
4cm/s. +. 3cm/s
= 7cm/s
walking length= 4cm/s/7cm/s x 100s
=57.14 or 57s
crawling =100s- 57s
=43s
I have 4 and 11/12 . how much do i need to add to get 6 and 1/2
Answer:
= 1 7/12
Step-by-step explanation:
6 1/2 - 4 11/12 =
6 6/12 - 4 11/12 =
5 18/12 - 4 11/12 =
=1 7/12
To check if the answer is right or wrong, you can add 1 7/12 to 4 11/12
4 11/12 + 1 7/12 = 5 18/12 = 6 6/12 = 6 1/2
Hope this helps and pls do mark me brainliest if you can:)
What four consecutive integers have a sum of 90?
Answer:
x, x+1, x+2, x+3.
Step-by-step explanation:
I took the test
Answer:
21 + 22 + 23 +24 = 90
Step-by-step explanation:
Let's represent this with x:
x+x1+x+2+x+3 = 90
Group the x's together
4x+6 = 90
subtract 6 on both sides
4x=84
x=84/4
x= 21
An electrician charges an hourly rate of $50, but also charges a fixed fee for making house calls regardless of time spend on the job. One day, the electrician earned a total of $250 for a 2 hour job. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.
Answer:
C=50t+150
Step-by-step explanation:
From the information given, the equation will need to show that the total cost of the electrician services would be equal to 50 that is the hourly rate for the number of hours spent working plus the fixed fee:
Fixed fee=250-(50*2)=250-100=150
According to this, the equation would be:
C=50t+150, where C is the total cost of the electrician's services and t is the number of hours spent working.
Asking for the answer to this algebra problem please! Tysm!
Answer:
b
Step-by-step explanation:
i did the math
HURRY!!!!
The value of a baseball card can be represented by the equation y = 3 x + 39, where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39
Answer:
mark as brainliest plz... it is $39
Step-by-step explanation:
ayeeeeeeeeeeeeeee
If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2
Answer:
x = -2 or x = -1/2
Step-by-step explanation:
We can just set up an equation where the quadratic is equal to -10, and then solve the equation:
[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]
Now, factor:
[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]
Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours
17x = 32
x = 1.882
23x = 23 x 1.882 = 43.286 = 43 balls
Absolute value is DISTANCE. How many units a number is away from zero.
a.) 3
b.)4
C.) -3
d.) -4
I believe it is B) 4
The number line is going by .5 per space and there are 8 spaces in the red line segment. You can then do 8 x .5 and you will get 4.
OMG Help Me !Select all the correct answers. Which tables represent constant functions? Pick 2 and show your work. No guessing.
x y
2 -1
2 0
2 1
x y
2 -3
4 -7
6 -11
x y
2 3
4 3
6 3
x y
1 3
2 12
3 27
x y
1 -1
2 -1
3 -1
Tables 1 and 2 because they move at a constant rate of change and they are linear functions with a slope.
Table 3 is not a function because there is more than one input for each output.
Table 4 is an exponential equation with the equation y = 4x^2
Table 5 is not a function for the same reason as table 3.
Answer:
Yes! The answer is A and B. Or the 1st and 2nd ones.
Step-by-step explanation:
How do you write -4.50 as a mixed number
Answer:
-9/2
Step-by-step explanation:
2 (k + 2) = 8k - 5 - 3k
Answer:
k=3
Step-by-step explanation:
Answer:k=3
Step-by-step explanation:
Triangle ABC is dilated by a scale factor of 4. If A is located at (3,-5), where will A’ Be located?
Answer:
Step-by-step explanation:
Multiply both numbers by 4. That is your new coordinates. (12,-20)
Joey wants to save up enough money to buy a new baseball bat that costs $200. He already has $50. If Joey makes $40 per week, write an inequality that represents the number of weeks (w) until he will have enough money?
Answer:
50+40w=200
Step-by-step explanation:
200-50=150
150 divided by 40=3.75 so 3 1/2 weeks
Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W
Answer:
D.
Step-by-step explanation:
D. 60 + 12w = 95 + 7W