Question 1*
1 point
For questions 1-5, let f(x) = x2 +6x + 7, g(x) = 8x2 – 2, h(x) = 3x + 4, and
k(x) =
x-3
2x+1
1.
Evaluate f(2) - g(2). k(2)
Given expressions;
f(x) = x² + 6x + 7
g(x) = 8x² - 2
h(x) = 3x + 4
k(x) = x - 3
Find f(2) - g(2). k(2)
f(2) = 2² + 6(2) + 7 = 23
g(2) = 8(2)² - 2 = 30
k(2) = 2 - 3 = -1
Now, f(2) - g(2). k(2) = 23 - (30)(-1)
= 53
The solution to the problem is 53
Find the x- and y-intercepts of the graph of the linear equation 3x+6y=24.
Answer:
y=0,4 and x=8,0
The x and y-intercept of the linear equation 3x + 6y = 24 will be (8,0) and (0,4) respectively.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given linear function,
3x+6y=24
At x-intercept, y = 0
3x = 24
x = 8 thus it will be (8,0).
At y-intercept , x = 0
6y = 24
y = 4 thus it will be (0,4)
Hence "The linear equation 3x + 6y = 24 will have x-intercepts of (8, 0) and (0, 4) correspondingly".
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A factory produces 150 plastic conponents per hour how many companents does the factory per minute
Answer:
2.5 per minute
Step-by-step explanation:
:)
Answer:
2.5
Step-by-step explanation:
To find the # of components per minute, you must divide the # of components per hour by 60 since there are 60 minutes in an hour
That leaves us with 2.5 components per minute
Calculators cost $40 each at Tech Central. How many calculators can Mrs.Robinson buy for her class with $1,000 if the tax on each calculator is 0.30? Write an equation.
Answer:
24
Step-by-step explanation:
TRUST
FIRST TO ANSWER GETS BRAINLIEST & POINTS
should be m1 = F*d2/(G*m2)
There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow? Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.
Answer:
Brandon is correct.
Step-by-step explanation:
Initially, there id 4 pints of green paint in the bucket.
As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket is 2 pint each.
Let x pints of yellow paint to be added to the bucket to make the desired shade.
Total amount of the paint in the bucket, after addition of [tex]x[/tex] pints of yellow color become [tex]4 + x[/tex] pint, in which the ampunt of yellow color is [tex]2+x[/tex] pints.
As, the ampunt of yellow color is 80% of the total amount of the mixture, so
[tex](4+x)\times 80\%=2+x[/tex]
[tex]\Rightarrow (4+x)\times \frac{80}{100}=2+x[/tex]
[tex]\Rightarrow 4(4+x)=5(2+x)[/tex]
[tex]\Rightarrow x=6[/tex]
So, 6 pints of yellow paint to be added to the bucket to make the desired shade.
Hence, Brandon is correct.
Answer:
Brandon is correct that the mixture needs 6 more pints of yellow paint.
50%(4 pints) + 100%(x pints) = 80%(4 + x pints)
2 + x = 3.2 + 0.8x
0.2x = 1.2
x = 6
Bianca is correct because adding the 6 pints won't fit in the gallon bucket. Adding 6 pints of yellow to the original 4 pints of green is 10 pints, which will not fit in the 1-gallon bucket. (1 gallon = 8 pints)
Step-by-step explanation:
used this for my test and it was right
Number 8 please!!!!!!
Answer:
the answer is a= -20
can you also please mark me as brainliest?
thanks
25 pts! Who wants brainliest? answer this question
Answer:
The answer is 7root 5
Step-by-step explanation:
Use the function g(x) = 175 + 85x to find
the most number of trees that Jamal can grow
without exceeding $525.
you don't want to exceed 525, so you set the inequality to be
[tex]525\geq 175+85x[/tex]
we can think of the max as just
[tex]525=175+85x[/tex]
solve for x
[tex]85x=350[/tex]
[tex]x=4ish[/tex]
(note: always round down so that you don't exceed the max. ex. you could round to 4.11 instead of 4.12. x=4.12 would give you a value greater than 525)
What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x
A. x = 2
B. x=1/2
C. x = -2
D. x = -1/2
Answer:
1/2
Step-by-step explanation:
SOMEONE HELP
how many serving were in the Container?
...................15?
====================================================
Explanation:
5 & 1/3 is the mixed number with 5 as the whole part and 1/3 as the fractional part
Let's convert to an improper fraction
5 & 1/3 = 5 + 1/3
5 & 1/3 = 5*(3/3) + 1/3
5 & 1/3 = 15/3 + 1/3
5 & 1/3 = (15+1)/3
5 & 1/3 = 16/13
The mixed number 5 & 1/3 is equivalent to the improper fraction 16/3
-------------------
Each serving is 7/8 cup
x of these servings is (7/8)x
x is the number of servings in a full container, so
(7/8)x = 16/3
x = (16/3)*(8/7)
x = (16*8)/(3*7)
x = 128/21
x = 6.0952 approximately
x = 6 when rounding to the nearest whole number
So the container is about 6 servings.
12x - 200 + 5x = 72 solve for x
Answer:
x=16
Step-by-step explanation:
12x - 200 + 5x =72
+5x. +5x
17x + -200 =72
+200 +200
17x =272
/17 /17
x=16
A bacteria colony starts with 5 bacteria at the beginning and triples every hour. How would
you write an explicit equation to model this situation?
A. f(x) = 3.5*
B. f(x) = 3x + 5
C. f(x) = 5x + 3
D. f(x) = 5.3%
Answer:
B. f(x) = 3x + 5
Step-by-step explanation:
Initial amount of bacteria N0 = 5 bacteria's
If the triple every hour,
The increase in bacteria in the colony after x hour will be 3*x =3x
x is the amount of hour.
Total amount of bacteria in the colony after x hour will be N0 + 3x
Let f(x) be the total amount of bacteria in the colony after x hour
f(x) = N0+3x
Since N0 = 5
f(x) = 5+3x
Re-arrange
f(x) = 3x + 5
Hence an explicit formula to model the equation is f(x) = 3x + 5
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Stephen made a mistake and used 7 cups of flour. How many cups of milk should he use to keep the proportions correct?
he should use 3.5 cups of milk.
bc three goes into seven 2 1/3 times.
and 1/3 of 1.5 is 0.5
since 3 goes into 7, 2 times, he uses 3 cups of milk, and sinze 1/3 of 1.5 is 0.5, add them together and you get 3.5
i hope that made sense
can someone plz help me with this math equation!
Answer:
[tex]2x^3-7x^2-10x+4+\frac{1}{x+1}[/tex]
Step-by-step explanation:
Hey this is long division polynomials, my work is a little confusing and I see that you do not need to show step so ill skip it.
If you don't understand I recommand search a video on it
<3
Red
Rachel received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.61 per pound. After buying the coffee, she had $34.34 left on her card. How many pounds of coffee did she buy?
Answer:
6
Step-by-step explanation:
80- 34.34 = 45.66
45.66 ÷ 7.61 = 6
Answer:
6 pounds of coffee
Step-by-step explanation:
80 ÷ (7.61p) = 34.34
80 - 34.34 = 45.66
45.66 ÷ 7.61 = 6
6 pounds of coffee
The length y of a rectangle is four less than three times the width x. The perimeter of the rectangle is 16 cm.
Answer:
y = 1 cm
x = 7 cm
Step-by-step explanation:
x = 3y + 4
perimeter = 2 * ( y + x ) = 16
x + y = 8 by using x = 3y + 4
y + 3y + 4 = 8
4y = 4
y = 1
1 + x = 8
x = 7
y = 1 cm
x = 7 cm
Katie has a cat named
Fluffy. Fluffy eats a whole
bag of cat food in two
weeks. Katie feeds Fluffy
twice a day. The cat food
comes in a 7 cup bag.
How many
cups of food
does Fluffy
each serving?
Please show step by step
Answer:
1/2 a cup or 0.5 cups per serving
Step-by-step explanation:
If you were to divide 7 by 14 you would get 0.5. The reason as to why you would divide 7 by 14 is because if she eats twice a day that would be 7 more times then if she were to be fed once a day. So if you were to feed her twice a day that would be 14 times a week.
Don't think this helped at all but I tried my hardest, sorry if you get your problem wrong. Hope you have a good day :D
Each day, Kyle reads 30 pages of a 450-page book. Write a linear equation to represent the number of pages Kyle has left to read after x.
a. Write the linear equation in slope-intercept form.
b. How many days will it take Kyle to finish the book?
Answer:
y=-30x+450
if she reads 30 pages every day it will take 15 days
Given m angle7=38^ and m angle10=102^ find the measure of each missing angle
please show work to help me
[tex]\angle 1 = 78\\\angle 2 = 102\\\angle 3 = 78\\\angle 4 = 102\\\angle 5 = 38\\\angle 6 = 142\\\angle 7 = 38\\\angle 8 = 142\\\angle 9 = 78\\\angle 10 = 102\\\angle 11 = 78\\\angle 12 = 102\\\angle 13 = 38\\\angle 14 = 142\\\angle 15 = 38\\\angle 16 = 142[/tex]
The measure of the angles will be ∠1 = 78°, ∠2 = 102°, ∠3 = 78°, ∠4 = 102°, ∠5 = 38°, ∠6 = 142°, ∠7 = 38°, ∠8 = 142°, ∠9 = 78°, ∠10 = 102°, ∠11 = 78°, ∠12 = 102°, ∠13 = 38°, ∠14 = 142°, ∠15 = 38°, and ∠16 = 142°
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The type of angles is given below.
Two angles are said to be supplementary angles if their sum is 180 degrees.If two lines are parallel then the third line. The corresponding angles are equal angles.When two lines intersect, then their opposite angles are equal.The measure of angle 7 is 38°. Angles 7 and 8 are supplementary angles.
∠7 + ∠8 = 180°
38° + ∠8 = 180°
∠8 = 142°
The measure of angle 10 is 102°. Angles 9 and 10 are supplementary angles.
∠9 + ∠10 = 180°
102° + ∠9 = 180°
∠9 = 78°
Then the measure of the remaining angles will be
∠1 = 78°
∠2 = 102°
∠3 = 78°
∠4 = 102°
∠5 = 38°
∠6 = 142°
∠7 = 38°
∠8 = 142°
∠9 = 78°
∠10 = 102°
∠11 = 78°
∠12 = 102°
∠13 = 38°
∠14 = 142°
∠15 = 38°
∠16 = 142°
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1. The following statement is false. Highlight the two words that should be
interchanged to make it a true statement.
In a function, every output value corresponds to exactly one input
value.
Answer:
highlight input and output.
Step-by-step explanation:
sorry if this doesn't work. i'm not 100% sure but its worth a try.
A hawk is sitting on the branch of a tree Question Image ft above the ground. It flies 28.3 ft higher in the air, drops down by 8.2 ft, and then a short time later flies down another Question Image ft onto the branch of another tree. Write an expression that represents the change in the bird’s height. Which of the two branches is higher above the ground?
Please help me asap!
Will mark as Brainliest for first correct answer.
Answer:
if you add 28.3 and 8.2 you will get 36.5
Step-by-step explanation:
Which of the following equations is equivalent to S= 2n?
Answer:
the second option h = S/pi²
Step-by-step explanation:
If V = 5, Y = -3, and Z = - 2 what is the answer to x-5z divided by y
The answer is x+10 divided by -3.
is this proportional or non proportional ???
Step-by-step explanation:
Non-proportional relationships affect these representations because the y-intercept in the graph will no longer be zero, the ratios in the table will not be proportional, and the equation will be affected because the number will be added or subtracted which is represented by b.
Proportional relationships are relationships between two variables where their ratios are equal. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
That constant is know as the "constant of proportionality".
PLEASE HELP ME Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions.
(c) 3x + 4x - 8 = 24 + 6x
(d) 15 – 3x = -2x + 10 + 5 - x
(e) 6x + 14 + 2 = 3x – 20 + 3x +10
Answer:
Step-by-step explanation:
c: x=32
d: all real numbers are solution
e: there are no solutions
Frank wants to go to the movies with his friends. Tickets at the movie theater are $5.00 for the first person and $6.50 for each additional person. Tom does not like movie 1. Bill and Sue don't like movie 2. Everyone has seen movie 3 already. Which movie should Frank and his friends see that would make everyone happy? If he spends $25.00 at the theater, how many people did he bring with?
The sum of one nickel and one dime is what fraction of a U.S. dollar?
3/20
15/20
15/10
3/100
Answer:
3/20
Step-by-step explanation:
15 cents is 15/100. Just simplify the fraction :3
Answer:
I guess 3/20 not sure
I am really sorry If I got the answer wrong
-3y > 9 or 2y – 6 > 2
Pls solve with steps and explain
Answer:
this is no answer
The solution of the given inequalities is y>-3 and y>4 respectively.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given inequalities are -3y > 9 and 2y - 6 > 2.
-3y > 9
y > -9 / 3
y > -3
The second inequality will be calculated as,
2y - 6 > 2
2y > 2 + 6
2y > 8
y > 4
Therefore, the solution of the given inequalities is y>-3 and y>4 respectively.
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how do you solve a function notation