Answer:
B. (3x + 4)(3x + 4)
The equivalent value of the expression is A = ( 3x + 4 ) ( 3x + 4 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 9x² + 24x + 16
On factorizing the equation , we get
A = ( 3x + 4 )²
On simplifying , we get
A = ( 3x + 4 ) ( 3x + 4 )
A = 3x ( 3x + 4 ) + 4 ( 3x + 4 )
A = 9x² + 12x + 12x + 16
On further simplification , we get
A = 9x² + 24x + 16
Hence , the value of the expression is A = 9x² + 24x + 16
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Calculate the average rate of change of f (x) = 3x2 + 2x + 5 on the interval (0, 2).
A. -1
B. 8
C. 38
D. 128
The average rate of change of a continuous function f(x) in an interval (a, b) is
(f(b) - f(a)) / (b - a)
So for
f(x) = 3x ² + 2x + 5
on the interval (0, 2), we have
• f (2) = 3 • 2² + 2 • 2 + 5 = 21
• f (0) = = 3 • 0² + 2 • 0 + 5 = 5
so that the average rate of change is
(f (2) - f (0)) / (2 - 0) = (21 - 5) / 2 = 16 / 2 = 8
and the answer is B.
1.
ALGEBRAICALLY solve each system of equations below. Show all of your work!
a. 7x - y = 98
3x-5y=10
b. x + 3y = 4
x = 6 - 27
Answer:
a. y = 7x-98
y =-3/5x-2
b. y =-1/3x+4/3
x =-21
Step-by-step explanation:
a. 7x - y = 98
98 - 7x
-y = -7x + 98
divide by -
y = 7x - 98
3x - 5y = 10
10 - 3x
-5y = -3x + 10
divide by -5
y = -3/5x - 2
b. x + 3y = 4
4 - x
3y = -1x + 4
divide by 3
y = -1/3x + 4/3
x = 6- 27
x = -21
Mrs. Driggers went to Target to purchase the new movie Frozen for her girls. The original price was $20, but
it is on sale for 10% off.
9. How much will Mrs. Driggers save by purchasing the movie at Target?
a. $0.20
b. $0.02
C. $2.00
10. How much will the movie cost Mrs. Driggers (before tax)?
a. $19.80
b. $18.00
C. $19.98
11. If she purchases the movie in Summerville, Mrs. Driggers will pay 8.5% sales tax. How much sales tax
will she have to pay on the movie?
a. $1.68
b. $15.30
C. $1.53
12. What is the total cost for the movie from Target in Summerville (including tax)?
a. $19.53
b. $33.30
10cn
Answer:
9. C. $2.00
10. B. $18.00
11. C. $1.53
12. A. $19.53
Step-by-step explanation:
10%, or 1/10th of 20 dollars is 2 dollars.
The movie, therefore, will cost 2 dollars less, or 18 dollars before tax.
To find tax, multiply the total (after price reduction) by the percentage tax (as a decimal, 0.085%), which gives you 1.53.
Add the tax and the initial cost together to get the total cost.
A rental company gives two options for the daily cost of a car. One option is to pay $20 a day, and the cost equation that models SSC equals 20 X, where X is the number of days of cars rented. The second option is to pay eight dollars a day plus an initial fee of $80, and the cost equation that models this is C equals a X plus a D. When is the pricing method with the initial feel better value?
Answer:
After 7 months of payment.
Step-by-step explanation:
First option = y = 20(7) + 0
= 140
Second option: y = 8(7) + 80
= 136
Evaluate 6 + x when x=3.
Answer: that equals 9
Step-by-step explanation:
convert 0.16 liters to milliliters
0.16 liters in terms of mililiters is equal to 160 ml
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: 0.16 liters
Now we know 1 liter= 1000 ml
Thus 0.16 liter would be equal to 0.16×1000=160 ml
Hence, 0.16 liters in terms of mililiters is equal to 160 ml
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(04.07A) A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2x + 6 y = 2x + 7 y = 2x + 4 y = 1 over 2x + 10
Answer:
1 over 2x+6y=2x+7y=
Step-by-step explanation:
Answer:
1 over 2x+6y=2x+7y=
Step-by-step explanation:
1 over 2x+6y=2x+7y=
I need help with 3,b
Hello, I need help with D. I am doing algebraic simplification.
Answer:
10x+88
Step-by-step explanation:
8x+80+2x+8
10x+88
Answer:
88+10x
Step-by-step explanation:
8x+80+2x+8= 88+10x
Hope this helps :D
P.s~ Could you give meh brainliest pls? TYSM if u do its ok if u don't :3
On a coordinate plane, 2 triangles are shown. Triangle F D E is a right triangle and has points (1, 0), (1, 3), and (5, 0). Triangle Q R P is a right triangle and has points (negative 1, negative 2), (negative 1, negative 5), and (negative 5, negative 2). Are ΔDEF and ΔRPQ congruent? Yes. ΔDEF can be mapped to ΔRPQ by a reflection across the x-axis followed by a translation 2 units left. Yes. ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down. No. ΔDEF cannot be mapped to ΔRPQ by a rigid transformation or combination of rigid transformations.
Answer:
Yes
ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down
Step-by-step explanation:
The coordinates of the vertices of the triangles are;
F(1, 0), D(1, 3), and E(5, 0), and Q(-1, -2), R(-1, -5), and P(-5, -2),
Length of FD = √((3 - 0)² + (1 - 1)²) = 3
Length of DE = √((5 - 1)² + (0 - 3)²) = 5
Length of FE = √((5 - 1)² + (0 - 0)²) = 4
For triangle QRP, we have;
Length of QR = √((-5 - (-2))² + (-1 - (-1))²) = 3
Length of RP = √((-5 - (-1))² + (-2 - (-4))²) = 5
Length of PQ = √((-5 - (-1))² + (-2 - (-2))²) = 4
For a reflection across the x-axis, we have;
For a rotation of 180° about the origin, we have;
For a coordinate of the preimage before reflection of (x, y), the coordinates of the image after reflection is (-x, -y)
When followed by a translation 2 units down, we have the coordinates of the image will be (-x, -y-2)
Therefore;
For the points F(1, 0), D(1, 3), and E(5, 0) on triangle FDE, we have;
Rotation 180° about the origin gives;
F(1, 0) → Rotation by 180° → F'(-1, 0)
D(1, 3) → Rotation by 180° → D'(-1, -3)
E(5, 0) → Rotation by 180° → E'(-5, 0)
For a translation 2 unites of the coordinates of the vertices of the above triangle ΔF'D'E',
F'(-1, 0) → Translation 2 units down → F''(-1, -2)
D'(-1, -3) → Translation 2 units down → D''(-1, -5)
E'(-5, 0) → Translation 2 units down → E''(-5, -2)
The coordinates of the vertices of triangle ΔF''D''E'' are equivalent to the coordinates of the ΔQRP
Therefore, ΔDEF, and ΔRPQ are congruent, because ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down.
Answer:
Yes
ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down
Step-by-step explanation:
HURRYYYY
Which relation is a function?
Answer:
graphs that pass the vertical line test and is a function
bottom one on the left has only one y output and doesn't pass through xy twice
Step-by-step explanation:
ILL MARK U BRAINLIEST!!
Answer:
American Revolution!!!
Step-by-step explanation:
Key words- COLONISTS- INDEPENDANCE BRITAN
Answer:
american revolution
Step-by-step explanation:
its the first time that the britian fought the americans
the equation of th a line given by y = mx + b is also called
Answer:
slope intercept form
Step-by-step explanation:
Slope intercept form
Given a rectangle with width equal to (2x+1) units, length equal to (2x−1) units, and area equal to 35 square units, find the width of the rectangle.
Answer:
The width of the rectangle is 7 units
Step-by-step explanation:
Here, we want to find the width of the rectangle
Mathematically, the area of the triangle is length * width
(2x + 1)(2x-1) = 35
4x^2 - 1 = 35
4x^2 = 36
x^2 = 9
x = 3
Substituting 3 in 2x + 1
we have 2(3) + 1 = 6 + 1 = 7 units
Hot dogs come packed 10 in a package. Hot dog buns come packed 8 in a package. If we want one hot dog for each bun for a picnic, what is the least amount of each we need to buy? help plz
Answer:
we need to buy 8 packs of hot dogs and 10 packs of hot dog buns
Step-by-step explanation:
A map uses the scale 4 inches = 24 miles. If two cities are 60 miles apart in real life, how far apart are they on the map?
Answer:
10 inches i believe.
if 5=x, solve the following equation: 2 x
Answer:
10
Step-by-step explanation:
2x
2(5)
= 10
Given f(x)=x^3+kx-2, an x−1 is a factor of f(x), then what is the value of k?
Answer:
The value of k is 1
Step-by-step explanation:
If x-1 is a factor, if we equate x - 1 to 0 and substitute the value of x
Then, we should have 0 as the f(x) value
so;
x-1= 0
x = 1
Substitute this
0 = 1^3 + k(1) - 2
0 = 1 + k-2
0 = k-1
k = 1
JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake? Express your answer to the hundredths place?
Answer: $9.20
Step-by-step explanation: To get the answer, you add both the cost and multiply it by .15. Then you add the product to the number you got adding the cost of the food.
Answer:
$1.20
Step-by-step explanation:
He has to leave 100% of the cost which is $5.50 + 2.50 or $8.00.
He wants to leave 115% of the $8 he has to leave.
So you set it up like
x/8 = 115/100
Then you solve for x
8(115) = 920
920/100 =9.2
So he will leave $9.20.
It then asks for just how much the tip is that he will leave so
9.2 - 8 = 1.2
So the tip is $1.20.
-19=-17+k/5 please show work
Answer:
Step-by-step explanation:
-19=-17+k/5
add 17 to both sides
-2=k/5
multiply by 5 on both sides to get k alone
k=-10
Answer:
okay so if - 19 is equal to 17 + k divided by 5, first you figure out what you have to do to 17 to get -19. in this case, all you do is subtract 17 from 17 to get 0, then subtract 19 from 0 to get -19. then you add 17 and 19 to see how much you subtracted from 17 to get -19, so you subtracted 36 from 17. now you add the - sign to the 36 so that means instead of subtracting a positive number you're adding a negative number (it has the same effect) so you now need to know what, when divided by 5, equals -36. so just multiply -36 by five to get -180. so k = 170
Step-by-step explanation:
-19 = 17 + -180/5
-180/5 is -36
-19 = 17 + -36
17 + -36 = -19
-19 = -19
(sorry this is a lot of info but its harder to explain if i cant say a lot)
3. Victoria counts this week's food donations at a pet shelter. There are 16 full cases of canned food. There are 4 cases of canned food that are missing 5 cans. Victoria records a total of 220 cans of food. Use c to represent the number of cans in a full case. What expression could represent the number of cans in each case that is missing cans?
Answer:
We know that C is the total number of cans in a complete case.
Victoria counts:
16 full cases, so in those we have: 16*C cans.
4 cases with 5 missing cans, so in those we have:
Then if each case has C cans, the cases that are missing 5 cans have:
C - 5 cans.
Then in those four cases we have a total of: 4*(C - 5) cans.
And Victoria knows that there are 220 cans, then we have that:
16*C + 4*(C - 5) = 220
16*C + 4*C - 20 = 220
16*C + 4*C = 220 + 20 = 240
20*C = 240
C = 240/20 = 12
Then each case has 12 cans.
Then the number of cans in the cases with missing cans is:
12 cans - 5 cans = 7 cans.
Answer:
16c + 4(c-5) = 220
Step-by-step explanation:
If the inequality is greater than/greater than or equal to the shaded region is above the line.
True or False
Answer:
true but could you help me https://brainly.com/question/19430139
Step-by-step explanation:
Need help with this please
Answer:
55 degrees.
Step-by-step explanation:
ok so first off we know altogether the angles of a triangle have to equal 180 degrees total we have one thats 80 so the other two together must be 100 given that information we can make the equation 7x+6+3+6x=100 we simplify to get 13x+9=100 after moving it around you get 13x=91 solve the equation by dividing both sides by 13 to get x=7, but we are not done we have to solve for angle A by inputting the X so we get angle A=55 degrees
====================================================
Work Shown:
A+B+C = 180 ..... angles of a triangle add to 180
(7x+6) + (80) + (3+6x) = 180
13x + 89 = 180
13x = 180-89 .... subtract 89 from both sides
13x = 91
x = 91/13 .... divide both sides by 13
x = 7
Use this x value to find the missing angle measures.
angle A = 7x+6 = 7*7+6 = 55
angle C = 3+6x = 3+6*7 = 45
Note that,
A+B+C = 55+80+45 = 180
which helps confirm our answer.
Write a congruence statement for the pair of triangles. Name the postulate or theorem that justifies your statement.
Answer:
The answer choice that you have chosen is correct
Step-by-step explanation:
f(x) = -7x2 + 9x - 15 and g(x) = -12x2 – 15x + 7
g(x) -f(x)
please explain i dont understand.
Answer:
[tex] {5x}^{2} + 6x = - 8[/tex]
Step-by-step explanation:
This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.
[tex] { - 12x}^{2} - 15x + 7 - ({ - 7)x}^{2} + 9x - 15[/tex]
Now we can solve for the equation.
[tex] { - 5x}^{2} - 6x - 8 = 0 \\ {5x}^{2} + 6x = - 8[/tex]
The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold. $836 = $11t What is the unit rate in the equation above?
Answer:
76
Step-by-step explanation:
We were given The equation below which shows how much money was raised with t tickets sold. $836 = $11t
Mathematically, unit rate is How much of something per 1 unit of something else
$836 = $11t
Then we can get the value for "t" as
t= 836/11
t= 76
Hence, Unit rate is 76
SOMEONE HELP ME PLEASE EASY
Answer: 2,2 is not a solution
Step-by-step explanation:
Write the equation of the line with slope 2/3 passing through (6,5) in slope-intercept form.
Answer:
2 = (2/3)*(6)+b
2 = 4+b
b= -2
so slope intercept form is y = (2/3)x -2
To find the point slope form, simply plug in m and the point given.
y-2 = (2/3)*(x-6)
Step-by-step explanation:
slope for (1 -2) (3 3)
Answer:
[tex] \frac{5}{2} [/tex]
Step-by-step explanation:
The formula for slope is (y₂-y₁)/(x₂-x₁)
Which means the (y) from the Second ordered pair subtract (y) from the 1st ordered pair, then divide by (x) from the second ordered pair, minus the (x) from the first.
So (3-(-2))/(3-1)
5/2
Our slope is 5/2
Answer:
5/2
Step-by-step explanation:
Did this assignment and made a 100
Hope this helps
WILL GIVE BRAINLIEST PLEASE ANSWER
Answer:
7 Units
Step-by-step explanation:
