Answer:
p(10) = 306
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
p(x) = 3(x² - 2) + 12
p(10) is x = 10 for function p(x)
Step 2: Evaluate
Substitute in x [Function p(x)]: p(10) = 3(10² - 2) + 12(Parenthesis) Evaluate exponents: p(10) = 3(100 - 2) + 12(Parenthesis) Subtract: p(10) = 3(98) + 12Multiply: p(10) = 294 + 12Add: p(10) = 306
The product of a number x and four decreased
by twelve.
Which of the following is an expression for the
statement above
a/4x+12
b/4(x+12)
c/4(x-12)
d/4x-12
Step-by-step explanation:
a. increased b. discreased c. increased d. decreased
For any two integers A and B, A minus b is equal to a plus additive inverse of b is equal to a + Dash
Answer:
For any integer number n, the inverse additive of n is also an integer K such that:
n + K = 0
solving this for K, we get that:
K = -n
Then the inverse additive of n is -n.
Now that we know this let's complete this.
We know that for any two integers A and B, a minus b is equal to a plus the additive inverse of b.
To check this:
a minus b is written as:
a - b
And a plus the additive inverse of b is:
a + (-b)
because -b is the additive inverse of b.
Remember the rule sign:
(+)*(-) = -
Then we can rewrite:
a + (-b) = a - b
Then the statement is true.
"For any two integers a and b, a minus b is equal to a plus additive inverse of b is equal to a + (-b)"
Which number best represents the slope of the graphed line?
Calculate the compound interest a saleswoman would have to pay if she borrows
$54 000 for 9 years at 12% per annum compound interest.
Given:
Principal = $54,000
Time = 9 years
Rate of compound interest = 12% per annum.
To find:
The compound interest.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded and t is the number of years.
The interest is compounded annually, so [tex]n=1[/tex].
Substituting [tex]P=54000,\ t=9,\ n=1,\ r=0.12[/tex] in the above formula, we get
[tex]A=54000\left(1+\dfrac{0.12}{1}\right)^{1(9)}[/tex]
[tex]A=54000\left(1.12\right)^{9}[/tex]
[tex]A=149746.252902[/tex]
[tex]A\approx 149746.25[/tex]
The amount after 9 years is $149746.25.
Now, the compound interest is:
[tex]C.I.=A-P[/tex]
Where, C.I. is compound interest, A is amount and P is principal.
[tex]C.I.=149746.25-54000[/tex]
[tex]C.I.=95746.25[/tex]
Therefore, the compound interest is $95746.25.
if a×b=a^b what is the value of 2 ×3
Answer:
8
Hope this answer is right!!
Explanation:
Given, a×b=a^b=2 ×3
=2^3
=8
So, the value of 2 ×3 =8.
PLEASE ANSWER ASAP Mia randomally surveys students in her middle school to learn about their favorite type of novel. Of 40 respondents, 16 liked to read mystery novels. Based on Mia's data, how many of the 350 students in her middle school like to read mystery novels?
Answer:
140
Step-by-step explanation:
40 divided by 16 = 2.5 . 350 divided by 2.5=140 hope this helped
whats the inverse of f(x)=x-3/5
Answer:
inverse: f-(x)=x+3/5
Step-by-step explanation:
Set f(x)=x and x=y
x=y-3/5
isolate y by adding 3/5 to both sides
x+3/5=y
this is the inverse :)
5 6 7 8 9 10
TIME REMAINING
50:04
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
(x – 3)2 + (y – 5)2 = 6
(x – 3)2 + (y – 5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
Answer:
(x-a)(y-b)=r²
(x-(-3))(y-(-5))=r²
(x+3)2(y+5)2=36
Given the following equation x2 + 4x = 21 find the solutions. (Show All Work)
15a) Set the equation equal to 0 by inverse operations.
15b) Place the equation in factored form.
15c) Set each factor equal to 0 and solve for x.
I need help asap will give brainlist if answered and work is showed!
Step-by-step explanation:
15a)
[tex]x^2+4x=21[/tex] Subtract both sides by 21
[tex]x^2+4x-21 =0[/tex]
15b)
7 and -3 multiply to -21 and add to 4
The factors are (x+7)(x-3)
15c)
x+7 =0
x=-7
x-3=0
x=3
Kofi and Kojo were given 380 cedis to share, Kojo had 15 cedis more than Kofi. If Kofi's share is x, find an expression for Kojo's share.Hence find how much each received.
Answer:
kojo = x + 15
kofi = $182.50
kojo = $197.50
Step-by-step explanation:
kofi = x
kojo = x + 15 (since Kojo h as 15 cedis more than Kofi)
380= x + 15 + x
2x + 15 = 380
combine like terms
2x = 380 - 15
2x = 365
x = 182.50
Kojo = 15 + 182.50 = $197.50
Select the correct answer.
Which number is an irrational number?
A. √100
B. 1/8
C. -2.2675
D. ^3√16
The none of no irrational number in the given option.
What is an irrational number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
In another word, irrational numbers are those numbers that can not terminate.
For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.
Among the given option
A) √100 = 10 which is integer.
B) 1/8 were 1 and 8 both integer.
C) -2.2675 here also it is an integer.
D) [tex]0^{12}[/tex] which is 0 so it is also a rational number.
Hence none of the irrational numbers. It might be possible that there is a typing mistake in the question or in option D there is something else.
For more about the irrational number
https://brainly.com/question/4031928
#SPJ2
does this graph show a function pic out of the multiple choice to explain how
Answer:
B
Step-by-step explanation:
The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.
Sum of cubes:
(a + b)(a2 – ab + b2) = a3 + b3
Difference of cubes:
(a – b)(a2 + ab + b2) = a3 – b3
Which products result in a sum or difference of cubes? Check all that apply.
(x – 4)(x2 + 4x – 16)
(x – 1)(x2 – x + 1)
(x – 1)(x2 + x + 1)
(x + 1)( + x – 1)
(x + 4)(x2 – 4x + 16)
(x + 4)(x2 + 4x + 16)
Answer:
C and E
Step-by-step explanation:
Answer:
3 and 5
Step-by-step explanation:
The solution of this problem is in this picture.
A and B are the subsets of a universal set U. If U = {1,2,3,4,5,6,7,8,9,10} A={1,2,3,5,7,9} and B ={1,2,3,6}, show that AUB complement=AΠB complement
Answer:
AUB= {1,2,3,5,6,7,9}
AnB={1,2,3}
2 Points
(25x
0
The equation ya
represents Michelle's regular
130(x-38) +950 %> 38
hourly and overtime wage. Based on this equation, what is Michelle's
overtime hourly pay?
A. $30
B. $38
O C. $950
O D. $25
Answer:
The answer is "35.22".
Step-by-step explanation:
Let the given equation:
[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]
Answer: $25
Step-by-step explanation: took the quiz
Use the explicit formula an = a + (n-1). d to find the 500th term of the
sequence below.
24, 31, 38, 45, 52, ...
Answer:
Step-by-step explanation:
The difference is a2 - a1 = 31 - 24 = 7
n = 500
a500 = a1 + (500 - 1) * 7
a500 = 24 + 499 * 7
a500 = 24 + 3493
a500 = 3517
Please help I’ll give brainllist
Answer:
TRUE
Step-by-step explanation:
TRUEAnswer:
true i think
Step-by-step explanation:
George earned $3,200 for one month of work. He paid $640 in income tax for the month. What percent tax did he pay? (Ignore the percent sign when gridding your answer.
Answer:
He paid $640 out of his total $3,200 for the month.
As a fraction it is (640/3200) which equals (1/5)
We want it as a percentage so we multiply the fraction by 100.
1/5×100=20%
20% is the final answer.
Jasmine used the number line to find the distance between 0 and 5. What was Jasmine’s error? Jasmine should have counted from 5 to 0. Jasmine started with the wrong integer. Jasmine gave a negative answer for distance. Jasmine ended with the wrong integer.
Answer:
The answer is "Option C".
Step-by-step explanation:
In this question, the distance value is -5 that's why option c is correct.
Answer:
C. Jasmine gave a negative answer for distance.
7. A quadrilateral has vertices W(-3,5), X(8,6),
Y(3,-6), and Z(-4,1). The preimage is mapped
onto quadrilateral W'X'Y'Z' through a dilation by
scale factor and then a reflection over the line
y = x. What are the coordinates of W'?
Answer:
W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point A(x, y) is dilated by a scale factor of k, the new point is A'(kx, ky). If a point A(x, y) is reflected over line y = x, the new point is A'(y, x).
Given the vertices W(-3,5), X(8,6), Y(3,-6), and Z(-4,1). If it is dilated by a scale factor of 2/3, the new point is at W*(-6, 10/3), X*(16/3, 4), Y*(2, -4) and Z*(-8/3, 2/3). If it is then reflected over the line y = x, the new point is W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3).
Math help please show work thanks
Problem 3
If we peel off the sticker off the side of a 3D cylinder, then we can form a rectangle (imagine we're able to peel it off completely without any folds or tears).
The length of the rectangular sticker is the distance around the curved circular base. So it's C = pi*d = pi*1.5 = 1.5pi inches across. The height of the rectangle is the same as the height of the cylinder. So the height is 5 inches.
The area of the rectangle is: length*width = (1.5pi)*(5) = 7.5pi
That's the exact area in terms of pi
If you use the approximation pi = 3.14, then we'll get 7.5*3.14 = 23.55 square inches as the final answer
==================================================
Problem 4
The square base has area of 38*38 = 1444 square cm
The side panels are 4 identical triangles. Each triangle has area base*height/2 = 38*55/2 = 1045 square cm. Meaning that all four triangles combine to a lateral surface area of 4*1045 = 4180 sq cm.
The total surface area is: 1444+4180 = 5624 square cm.
When you wrote 55*38*2+38*38 on your paper, you had the right idea because that evaluates to 5624
solve 32*25/80 using the power and exponents law
Answer:
the answer is 10 the power of one or 10
1)Rút gọn:
(√9+4√5)-(√9-4√5)-√5+(√23-8√7)
2)Chứng minh:
x²+x√3+1 luôn luôn dương với mọi x.
Answer:
si sumas 9+4×5 te da la respuesta
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Answer:
True
Step-by-step explanation:
The formula to convert Fahrenheit degrees to Celcius degrees is [tex]C=5/9*(F-32)[/tex]
If f(x) = 5x, what is rx)?
Answer:
18x
Step-by-step explanation:
If f(x) is 5x which can also be expressed 5(x)
Then r(x) is a number then x
f is the fifth digit in the alphabet
So fx is 5x
r is the 18 th letter so
18x
how would 3 over 5
be Classified
Answer:
3/5 is expressed as 60% in terms of Percentage.
Let's convert the fraction 3/5 into percent. Now, 60/100 is expressed as 65% in terms of percentage.
Find an equation in point-slope form for the line having the slope m =1/3 and containing the point (-3,- 6).
Use complete sentences to explain how the coordinate plane is a useful tool for geometric proofs.
Answer:
Step-by-step explanation:
The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument. ... The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .
Answer:
The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument . Coordinate geometry proofs employ the use of formulas such as Slope Formulas, the Midpoint Formula and the Distance Formula, as well as postulates, theorems and definition s. The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas . The facilitate verification is a proof of a geometric hypothesis which utilizes " summed up" indicates on the Cartesian Plane make a contention. The strategy for the most part includes doling out factors to the directions of at least one focuses, and afterward utilizing these factors in the midpoint or separation equations. For instance, the accompanying is an arrange evidence of the Triangle Midsegment Theorem, which expresses that the fragment interfacing the midpoints of two sides of a triangle is parallel to the third side and precisely a large portion of the length.
I don’t understand this equation please help me
Answer:
Evaluated, you get 4x^4
Step-by-step explanation:
Differentiated, you get 16x^3
It all depends on what you're looking for, really
please helpppp its due nowwwww
Answer:
Step-by-step explanation:
instead of (2x - 60 ) there should be (60 - 2x) because since they are parallel lines corresponding sides must be equal . It is contradictory because the size of the corresponding angles is different.
Note : Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
