Answer:
$1279.25
Step-by-step explanation:
The first $6800 is multiplied by .085 to get the 8.5% they earned. This equals $570. After that, the remaining money is multiplied by .1275 to get the 8.5%+4.25%. This leaves you with $5500x.1275. This equals 701.25. $701.25+$570=$1279.25. Hope this helps :)
What is the value of "c" in the quadratic equation 3x 2 + 5x + 7 = 0?
3
5
7
Answer:
[tex]c=7[/tex]
Step-by-step explanation:
They are just asking you to compare
[tex]ax^2+bx+c=0[/tex] to
[tex]3x^2+5x+7=0[/tex].
What constant values are in the place of [tex]a,b, \text{ and } c[/tex].
[tex]a=3[/tex]
[tex]b=5[/tex]
[tex]c=7[/tex]
Factor completely 2x3 + x2 − 18x − 9.
(x2 − 9)(2x + 1)
(x − 3)(x + 3)(2x − 1)
(x − 3)(x + 3)(2x + 1)
(2x − 3)(2x + 3)(x − 1)
Answer:
Option C: (x − 3)(x + 3)(2x + 1)
Step-by-step explanation:
A gardener is planting two types of trees:Type A is three feet tall and grows at a rate of 15 inches per year.Type Bis four feet tall and grows at a rate of 10 inches per years. Determine exactly How long many years it will take for these trees to be the same height
Answer:
2.4 years
Step-by-step explanation:
you have to first convert the trees' heights into inches. three feet is equivalent to 36 inches and four feet is equivalent to 48 inches. Since three A grows at 15 inches a year it'll become a the expression 15x+36 and the expression for tree B will be 10x+48. You set them up to each other and simplify it.
15x+36=10x+48
-10x -10x
5x+36=48
-36 -36
5x=12
/5 /5
x=2.4
So it'll be 2.4 years
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.) A triangular prism is shown with 2 right triangular sides having legs 3 and 4 and hypotenuse 5. The length of the prism is 3.5 Numerical Answers Expected! Answer for Blank 1:
Answer:
54
Step-by-step explanation:
Answer:
54 square units
Step-by-step explanation:
In order to calculate the surface area of the prism you have to calculate the area of each face of the prism, and you have to remember the different formulas to calculate the areas:
[tex]Rectangle=Length*Width[/tex]
[tex]Triangle=\frac{Base*Height}{2}[/tex]
So you just have to insert the values into the formulas:
[tex]Rectangle1=4*3.5[/tex]
[tex]Rectangle1=14[/tex]
[tex]Rectangle2=5*3.5[/tex]
[tex]Rectangle2=17.5[/tex]
[tex]Rectangle3=3*3.5[/tex]
[tex]Rectangle3=10.5[/tex]
[tex]Triangle1=\frac{4*3}{2}[/tex]
[tex]Triangle1=6[/tex]
[tex]Triangle2=\frac{4*3}{2}[/tex]
[tex]Triangle2=6[/tex]
If you add up all the faces, you get the surface area of the prism:
14+17.5+10.5+6+6=54
A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point. If x is the number of solved puzzles and y is the number of solved riddles, which graph represents this scenario?
Answer:
The graph that representss this scenario is attached.Explanation:
You can create the graph by determining the expression that shows the relationship between the variables and then drawing the graph in a coordinate system.
1. Determine the expression that relates the variables.
a) The name of the variables is given:
x: number of solved puzzlesy: number of solved riddlesb) Point rules:
Each solved puzzle is worth two points: 2x Each solved riddle is worth 1 point: 1y = ySum of points: 2x + yThe video game requires at least 4 points to advance: this means that the number of points must grater than or equal to 4 ⇒ 2x + y ≥ 4 .In conclusion, it has been determined that the expression that rules the system of points is the inequality 2x + y ≥ 4.
2) Building the graph
Solve algebraically for y: y ≥ 4 - 2xYou want to draw the border line of the function, that is y = 4 - 2xYou have a linear function, so you need only two points to draw it. It is generally easier to work with the intercepts.x-intercept (y = 0) ⇒ 2x + 0 = 4 ⇒ 2x = 4 ⇒ x = 2 ⇒ point (2, 0)y-intercept (x = 0) ⇒ 2(0) + y = 4 ⇒ y = 4 ⇒ point (0, 4).In conclusion, you can use the points (2,0) and (0,4) to draw the line that is the border of your graph.
Addtional constrains: x and y cannot be negative, so add the constrains:x ≥ 0 and y ≥ 0
The set of solutions of y ≥ 4 - 2x is the same line y = 4 - 2x and the region over the line, so you have to shade that portion of the graph, but only in the first quadrant (since x and are greater than or equal to zero).The resulting graph is attached.
Answer:
D
Thank me later!! Just did the test on edge
Select all that apply.
Which numbers are not perfect squares?
25
20
18
36
16
14
24
Answer:
14, 18, 20, and 24 are not perfect squares.
The numbers that are not perfect squares are:
1. 20
2. 18
3. 14
4. 24
These numbers do not have integer square roots, which means they are not perfect squares.
A perfect square is a number that can be expressed as the product of an integer multiplied by itself. For example, 25 is a perfect square because [tex]\(5 \times 5 = 25\).[/tex]
Let's examine each number:
1. 25 - This is a perfect square because [tex]\(5 \times 5 = 25\).[/tex]
2. 20 - This is not a perfect square. It cannot be expressed as the product of an integer multiplied by itself.
3. 18 - This is not a perfect square. It cannot be expressed as the product of an integer multiplied by itself.
4. 36 - This is a perfect square because [tex]\(6 \times 6 = 36\).[/tex]
5. 16 - This is a perfect square because [tex]\(4 \times 4 = 16\).[/tex]
6. 14 - This is not a perfect square. It cannot be expressed as the product of an integer multiplied by itself.
7. 24 - This is not a perfect square. It cannot be expressed as the product of an integer multiplied by itself.
Therefore, the numbers that are not perfect squares are 20, 18, 14, and 24. They cannot be represented as the square of an integer. The other numbers, 25, 36, and 16, are perfect squares as they can be expressed as the square of an integer.
The complete question is here.
Which numbers are not perfect squares? 25 20 18 36 16 14 24
Solve F(x) for given domain. Include all of your work in your final work submit your solution
F(x)=x^2+2
F(x^2)=
PLEASE HELP I'AM SCREAMING FOR HELP!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Actually, you have not "given" the domain.
The domain of F(x)=x^2+2 is "the set of all real numbers," because F(x)=x^2+2 is a polynomial.
F(x^2) = (x^2) + 2 = x^4 + 2. Again, this is a polynomial and the domain is "the set of all real numbers."
Double check to ensure that you have copied down this problem correctly.
NEED HELP WITH A MATH QUESTION
Answer:
87.88 ft^2.
Step-by-step explanation:
Area = 1/2 * base * height
= 1/2 * 16.9 * 10.4
= 87.88 ft^2.
Answer:
87.88 ft²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 16. 9 and h = 10.4, so
A = 0.5 × 16.9 × 10.4 = 87.88 ft²
use the substitution method to solve the system of equations choose the correct orderd pair. 3x-y=7 2x-2y=2
Answer:
(3,2)
Step-by-step explanation:
We are given the system:
3x-y=7
2x-2y=2.
We are asked to solve this by substitution. We need to pick an equation and pick a variable from that equation to solve for that variable.
I really like either for this. Some people might go with the first one though. Let's do that. I will solve the first one for y.
3x-y=7
Subtract 3x on both sides:
-y=-3x+7
Divide both sides by -1:
y=3x-7
Now we are ready for substitution. We are going to plug this equation into the second equation giving us:
2x-2y=2 with y=3x-7 gives us:
2x-2(3x-7)=2
Distribute:
2x-6x+14=2
Combine like terms:
-4x+14=2
Subtract 14 on both sides:
-4x =2-14
Simplify:
-4x =-12
Divide both sides by -4:
x =-12/-4
Simplify:
x =3
So using y=3x-7 and x=3, I will find y now.
y=3x-7 if x=3
y=3(3)-7 (I inserted 3 for x since we had x=3)
y=9-7 (Simplified)
y=2 (Simplified)
The answer is (x,y)=(3,2).
What is the solution to the equation 1/4x- 1/8=7/8+1/2x
Answer:
4
Step-by-step explanation:
Start by multiplying both sides by 4.
[tex]\frac{1}{4} x-\frac{1}{8} =\frac{7}{8} +\frac{1}{2} x\\x-\frac{1}{2} =\frac{7}{2}+2x[/tex]
Next, combine like terms.
[tex]x-\frac{1}{2} =\frac{7}{2}+2x\\-\frac{1}{2} =\frac{7}{2} +x\\x=\frac{8}{2} \\x=4[/tex]
Which of the following reveals the minimum value for the equation 2x^2 + 12x − 14 = 0?
The equation that reveals the minimum value for the equation is 2(x + 3)² = 32
Which reveals the minimum value for the equation
From the question, we have the following parameters that can be used in our computation:
2x² + 12x − 14 = 0
Rewrite as
2x² + 12x = 14
So, we have
2(x² + 6x) = 14
Take the coefficient of x
k = 6
Divide by 2
k/2 = 3
Square both sides
(k/2)² = 9
So, we have
2(x² + 6x + 9) = 14 + 2 * 9
2(x² + 6x + 9) = 32
Express as squares
2(x + 3)² = 32
Hence, the equation that reveals the minimum value for the equation is 2(x + 3)² = 32
Question
Which of the following reveals the minimum value for the equation 2x^2 + 12x - 14 = 0?
2(x + 6)^2 = 26
2(x + 6)^2 = 20
2(x + 3)^2 = 32
Sketch the graph of y= (x - 2)2 - 16, then select the graph that corresponds
to your sketch.
-20
O A. Graph A
O B. Graph B
O C. Graph c
O D. Graph D
If there was an illustration, I would be happy to assist you.
Which expression represents the prime factorization of 96?
A. 2 x 2 x 3 x 8
B. 2 x 2 x 2 x 12
C. 2 x 2 x 2 x 2 x 2 x 3
D. 2 x 2 x 2 x 2 x 2 x 3 x 3
It is not A. because 8 is not a prime number.
It is not B. because 12 is not a prime number.
C. 2 x 2 x 2 x 2 x 2 x 3 = 4*4*6= 96
D. 2 x 2 x 2 x 2 x 2 x 3 x 3= 4*4*6*3=16*18= 288
Answer is C. -2 x 2 x 2 x 2 x 2 x 3 : 96 ( not D. = 298 , 298 is greater than 96)
The prime factorization of the number 96 is 2 x 2 x 2 x 2 x 2 x 3. The correct option is C.
What is prime factorization?A number can be expressed as a product of its prime factors through the process of prime factorization. Prime factorization is the process of factorizing the bigger numbers in a way that all the numbers are prime.
Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is any natural number greater than one that is not prime.
The given number is 96. The factorization of the number 96 will be done as below:-
96 = 2 x 2 x 2 x 2 x 2 x 3
Therefore, the prime factorization of the number 96 is 2 x 2 x 2 x 2 x 2 x 3. The correct option is C.
To know more about prime factorization follow
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Ivan's gas tank is 1/5 full. After he buys 7 gallons of gas, it is 7/10 full. How many gallons can Ivan's tank hold?
Answer: 14 gallons of gas.
Step-by-step explanation: For the fractions, find a common denominator, which would be 10. To get 1/5 to have a denominator of 10, multiply each number by 2. You would get 2/10. 7 gallons fills his tank from 2/10 to 7/10. Subtract the two fractions.
7/10 - 2/10 = 5/10.
7 gallons filled his tank half way. We are trying to find the amount to fill his tank all the way. So multiply 7 by 2.
7 x 2 = 14
14 gallons of gas will fill his tank all the way.
I hope this helps!
Ivan's gas tank can hold 17.5 gallons when full after being 1/5 full and then adding 7 gallons.
The total capacity of Ivan's gas tank:
From 1/5 to 7/10 full means it increased by 4/10 or 2/5 of its capacity.Since 7 gallons represent 2/5, to find the total capacity, we divide 7 by 2/5 or multiply by 5/2.Therefore, the total capacity of Ivan's gas tank is 17.5 gallons.The fraction four-fifths is equivalent to what percent?
The answer is:
The fraction is equivalent to 80%.
Why?To solve the problem, we need to remember that if we want to convert from numbers to percentual values, we need to multiply the given number by 100.
So, if we have the fraction four-fifths which is:
[tex]\frac{4}{5}=0.8[/tex]
If we need to convert it to percent, we need to multiply it by 100:
[tex]0.8*100=80(percent)[/tex]
Hence, we have that the fraction is equivalent to 80%.
Have a nice day!
Answer:
80%
Step-by-step explanation:
We know 4/5 is the same as 4 divided by 5 then using long division for 4 divided by 5 gives us 0.8 converting our number to a percent
0.8 x 100 = 80%
7hr= how many minutes
Answer:
420 minutes
Step-by-step explanation:
1 hour = 60 minutes
7 * 1 hour = 7 * 60 minutes
7 hours = 420 minutes
We know that 1 hour = 60 minutes
To find how many minutes is in seven hours, we can multiply 60 by 7 and we will get a product of 420.
1 hour = 60 minutes
2 hours = 120 minutes
3 hours = 180 minutes
4 hours = 240 minutes
5 hours = 300 minutes
6 hours = 360 minutes
7 hours = 420 minutes
What is the solution of this equation
4x-6=10x-3
Answer:
x=[tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
4x-6=10x-3 (add 6 to both sides)
4x=10x+3 (subtract 10x from both sides)
-6x=3 (divide both sides by -6)
x=[tex]\frac{-1}{2}[/tex]
Answer: X = -1/2
Step-by-step explanation: Your goal is to isolate x. First, subtract 4x from each side.
-6 = 6x - 3
Add 3 on both sides.
-3 = 6x
Divide by 6 on each side.
X = -1/2
sollve for x (x-5)=4x-5
Answer:
x=0
Step-by-step explanation:
(x-5)=4x-5
Subtract x from each side
x-5-x=4x-x-5
-5 = 3x-5
Add 5 to each side
-5+5 = 3x-5+5
0 = 3x
Divide by 3
0/3 = 3x/3
0 =x
x=0
perform the indicated operation 1 1/3 × 3 3/4
Answer:
5.
Step-by-step explanation:
1 1/3 * 3 3/4
= 4/3 * 15/4
= 60/12
= 5.
First we simplify,
[tex]1\dfrac{1}{3}\cdot3\dfrac{3}{4}[/tex]
to
[tex]\dfrac{4}{3}\cdot\dfrac{15}{4}[/tex]
Then we continue simplifying,
[tex]
\dfrac{4\cdot15}{4\cdot3}=\dfrac{15}{3}=\boxed{5}
[/tex]
Hope this helps.
r3t40
Help on 10 and 11 and give me the answers for the blank ones
Answer:
10) Exact Answer: 36
Estimate: 36
11) Exact Answer: 2001
Estimate: 1900
Step-by-step explanation:
10a) To find the exact answer, simply divide the given numbers.
10b) To find the estimated answer, use compatible numbers. We know that any "hundred" number is easily divisible by 5. Therefore, 900/5 = 36.
It is possible for the estimate to be the same as the exact answer.
10a) To find the exact answer, simply divide the given numbers.
10b) To find the estimated answer, use compatible numbers. There is no pattern we can look for, so round to the nearest whole number.
We know that if we rounded .38 to 0 or 1, the answer would not be nearly as close as if we rounded .38 to .4.
Therefore, 760/.4 = 1900
Please mark as Brainliest, hope this helps!
7. Which two equations are equivalent?
A. y = (x + 3)2 and y = x2 + 6
B. y = (x – 5)2 and y = x2 – 25
c. y = (x – 3)2 and y = x2 - 6x + 9
D. y = (x + 5)2 and y = x2 + 25x + 10
Answer:
C. [tex]y=(x-3)^2[/tex] and [tex]y=x^2-6x+9[/tex]
Step-by-step explanation:
before answering the problem let us remind the formula for square of sum and differences
[tex](a+b)^2=a^2+2 \times a \times b + b^2[/tex]
[tex](a-b)^2=a^2-2 \times a \times b + b^2[/tex]
We are going to use the above two formulas to solve each part and come to an answer
A. [tex]y = (x + 3)^2[/tex]
[tex](x + 3)^2=x^2+2 \times x \times 3 + 3^2[/tex]
[tex](x + 3)^2=x^2+6x+9[/tex]
Hence this option is not correct pair
B. [tex]y = (x-5)^2[/tex]
[tex](x - 5)^2=x^2-2 \times x \times 5 + 5^2[/tex]
[tex](x -5)^2=x^2-10x+25[/tex]
Hence this option is also not correct pair
C. [tex]y = (x -3)^2[/tex]
[tex](x - 3)^2=x^2-2 \times x \times 3 + 3^2[/tex]
[tex](x -3)^2=x^2-6x+9[/tex]
Hence this option is correct as it have equivalent pair
D. [tex]y = (x + 5)^2[/tex]
[tex](x + 5)^2=x^2+2 \times x \times 5 + 5^2[/tex]
[tex](x + 5)^2=x^2+10x+25[/tex]
Hence this option is also not correct pair
a cars fuel efficiency is no less the 45 mpg use F to find the cars fuel efficiency. how do i turn this into an inequality math problem
Answer:
F ≥ 45
Step-by-step explanation:
"No less than" means "greater than or equal to", so you can write the expression as ...
F ≥ 45 . . . . . miles per gallon
What is the solution to the system of equations below when graphed?
y=3x+1
y=4x-1
A. (3,4)
B. (1,-1)
C. (6,8)
D. (2,7)
Answer:
A
Step-by-step explanation:
Lets say x=1
y: 3(1)+1=4
x: 4(1)-1=3
Final answer:
The correct option is (D) (2,7). To solve the system of equations, set them equal to each other and solve for x, which is 2, and then substitute x back into either equation to find y, which is 7. Hence, the intersection point is (2, 7).
Explanation:
To find the solution to a system of equations when graphed, you look for the point where the two lines intersect. The given equations are y=3x+1 and y=4x-1.
Since both equations equal y, you can set them equal to each other to find the point of intersection:
3x + 1 = 4x - 1.
To solve for x, subtract 3x from both sides:
1 = x - 1.
Then, add 1 to both sides to isolate x:
x = 2.
To find the corresponding y value, substitute x into one of the original equations, let's use the first one:
y = 3(2) + 1,
which simplifies to y = 6 + 1 = 7.
Therefore, the solution to the system of equations and the point of intersection is (2, 7).
Multiply.
(x + 7)(3x - 2)
( please answer with
A.
B.
C.
D.
Answer:
A. 3x^2+19x-14
Step-by-step explanation:
Applying the distributive property the given expression is equal to 3x²+19x-14 (Letter A).
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±acCommutative: a . b = b. aAssociative: a(b+c)= c(a+b)Identity: b.1=bZero= b*0=0For evaluating the given question, you should apply the distributive property.
The question gives the expression (x+7)(3x-2). Thus, from the distributive property, you have:
3x²-2x+21x-14
3x²+19x-14
From the given options of the question, 3x²+19x-14 is shown in option A.
Read more about the distributive property here:
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What is the area of a rectangle with a length of 27 and a height of 56?
Answer:
A=1512
Step-by-step explanation:
The area of a rectangle with a length of 27 and a height of 56 is 1512.
Formula: A=wl
A=wl=56·27=1512
Answer: 1,512 units^2
Step-by-step explanation: To find the area of a rectangle, multiply the length by the width. 27 x 56 =1512. Since you are finding the area, the answer would be squared.
Given that a function, g, has a domain of -20 sxs 5 and a range of -5 s g(x) s 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be
true for g.
A g(-4)=-11
B. g(-13) = 20
C. g(7)=-1
D. g(0) = 2
Answer:
s(x) = f(x) + g(x) = (5x + 2) + (7x + 4) = 12x + 6
p(x) = 6*g(x) = 6(7x + 4) = 42x + 24
Step-by-step explanation:
-3 3/8 x -2/3 divided by(-1 3/4)
[tex]\bf \stackrel{mixed}{-3\frac{3}{8}}\implies -\cfrac{3\cdot 8+3}{8}\implies \stackrel{improper}{-\cfrac{27}{8}}~\hfill \stackrel{mixed}{-1\frac{3}{4}}\implies -\cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{-\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{from left to right}}{-\cfrac{\stackrel{9}{~~\begin{matrix} 27 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{4}{~~\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\times -\cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\div -\cfrac{7}{4}}\implies \cfrac{9}{4}\div -\cfrac{7}{4}[/tex]
[tex]\bf \cfrac{9}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\times-\cfrac{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{7}\implies -\cfrac{9}{7}[/tex]
Raina brought a table for 627 the price was 35%less than the original price
Answer:
964.62
Step-by-step explanation:
Let x = the original price
35% less than means we pay 65% of the original price
627 = 65% x
Changing to decimal form
627 = .65x
Divide each side by .65
627/.65 = .65x/.65
964.6153846 =x
Rounding to the near cent
964.62
Only a few minutes please help!!
A) 20
B) 50
C) 90
D) 120
Answer:
C 90
Step-by-step explanation:
Answer: OPTION B.
Step-by-step explanation:
You can observe in the figure provided that the angle 3 and the angle that measures 70° , share the same vertex, therefore, you can conclude that they are Vertical angles and they are congruent. Then:
[tex]m\angle 3=70\°[/tex]
You can notice that the angle 1 and the angle that measures 70° are Complementary angles (They add up to 90°), then you can find the measure of the angle 1:
[tex]m\angle 1+70\°=90\°\\\\m\angle 1=90\°-70\°\\\\m\angle 1=20\°[/tex]
Then:
[tex]m\angle 3-m\angle 1=70\°-20\°\\\\m\angle 3-m\angle 1=50\°[/tex]
1. does a linear function have to have an x value of 0?
2. what is a constant rate?
3. does a linear function need to be all positive, or can it have some negative values?
Answer:
yes
Step-by-step explanation:
let me explain more in depth. 1: yes, it's the point where the function crosses the x axis. 2: the absence of acceleration. 3: I think it can be negative