Answer:
(x+7)(x-1)
Step-by-step explanation:
x^2 + 6x -7
so here we need two number that give 7 when multiplied and 6 when subtracted
7 and 1 are the numbers because
7*1=7 and ,
7-1=6 so,
x^2 + (7-1)x -7
x^2 +7x -x -7
take common from first two terms and from third and fourth term
x(x+7)-1(x+7)
take (x+7) as common
(x+7)(x*1 -1*1)
(x+7)(x-1)
write 600 as a product of it's primse factors
Answer:
2*2*2*3*5*5
or
2^3 *3* 5^2
Step-by-step explanation:
600 = 60*10
These are not prime so keep going, breaking 60 and 10 down
= 6*10 * 5*2
6 and 10 are not prime so keep going ( 5 and 2 are prime)
= 3*2 * 5*2 * 5*2
All of the numbers are prime, so we normally write them in order from smallest to largest
2*2*2*3*5*5
We can write with exponents
2^3 *3* 5^2
Which of the following is the product of 7/8 and -4/21? a.- 1/6 b.1/12 c.- 16/21 d.- 147/32
Answer:
A. -1/6
Step-by-step explanation:
7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6The product of 7/8 and -4/21 is a.- 1/6.
What is the product?In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.
Now the given numbers are,
7/8 and -4/21
now taking 7/8 and since 8= 4*2
so, 7/8 = 7/(4*2)
Again taking -4/28 and since 28 = 7*4
so, -4/21 = -4/(7*3)
hence the product of 7/8 and -4/21 is given as,
7/8*(-4/21) = 7/(4*2) x -4/(7*3)
taking alike terms together we get,
7/8*(-4/28) = (7/7)(4/4)(-1/2*3)
⇒ 7/8*(-4/28) = -1/6
Hence the correct option is a.-1/6
Therefore,The product of 7/8 and -4/21 is a.- 1/6.
Learn more about product :
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I need help, Thank you
Answer:
It should be 33 degrees!
Step-by-step explanation:
This can be found out when we realize that all complimentary degrees add up to 90!
Answer:
33 degrees
Step-by-step explanation:
Will mark Brainlest!!
Help Please!
(1). find the domain and range of the following
Answer:
Step-by-step explanation:
You have the domain. It is given as -1≤x≤1
Now all you have to do is figure out the range which is the y value. At first glance I think it might be 3, but that does not look very logical. I'll post this much of it now and be back in under an hour with a more complete answer.
Of course! How silly of me. There is a minimum of y = 1 in the range which comes from x = 0
I've included a graph so you can see how this all works.
So the range = 1 ≤ y ≤ 3
PLEASE HELP !!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST
Answer:
x = 22
y = 6
Step-by-step explanation:
GIVEN :-
AB ⊥ CF∠ABE = (4y + 2)°∠FBE = (3x - 2)°∠FBD = (5x + 6)°TO FIND :-
The value of x & yGENERAL CONCEPT TO BE USED IN THIS QUESTION :-
Complementary angles :- Two angles are said to be complementary if sum of measure of both angles is equal to 90°. Linear Pair :- Two angles are said to be a linear pair if both the angles lie on a straight line & sum of both angles is equal to 180°.SOLUTION :-
In the figure given in the question , ∠FBE & ∠FBD are linear pair.
⇒ (3x - 2)° + (5x + 6)° = 180°
⇒ 8x + 4 = 180
⇒ 8x = 176
⇒ x = 22°
Also , AB⊥CF.
⇒ ∠ABE & ∠FBE are complementary angles.
⇒ (4y + 2)° + (3x - 2)° = 90°
⇒ 4y + (3×22) = 90 [∵ Putting x = 23]
⇒ 4y + 66 = 90
⇒ 4y = 24
⇒ y = 6
Solve 8x + c = k for x.
Answer:
x = (k - c)/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
8x + c = k
Step 2: Solve for x
[Subtraction Property of Equality] Subtract c on both sides: 8x = k - c[Division Property of Equality] Divide 8 on both sides: x = (k - c)/8Answer:
[tex]x = \frac{k -c}{8}[/tex]
Step-by-step explanation:
[tex]8x + c = k\\\\8x + c-c = k -c \ \ \ \ \ \ \ \ \ [\ subtract \ c \ from \ both \ sides \ ]\\\\8x = k - c\\\\\frac{8x}{8} = \frac{k-c}{8} \ \ \ \ \ [ \ divide \ both \ sides\ by\ 8 \ ]\\\\x = \frac{k-c}{8}[/tex]
the polynomial function f(x)=3x5-2x2+7x
Answer:
f(x)=7x+11
Step-by-step explanation:
15-4-7x= 7x+11. Sp y or f(x)= 7x+11
In this diagram, a triangular prism is cut by a plane as shown. What is the shape of the cross section?
Answer: it’s a triangle
Step-by-step explanation:
Answer:
triangle
Step-by-step explanation:
Which equation can be used to solve for c?
Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.
c = (5)cos(35o)
c = StartFraction 5 Over cosine (35 degrees) EndFraction
c = (5)sin(35o)
c = StartFraction 5 Over sine (35 degrees) EndFraction
Mark this and return
Answer:
5 no i am not preety sure though
Answer:
the answer is B on edge
Step-by-step explanation:
to the other person , .. that's not a fricking answer
Find q. will give brainliest!!
Step-by-step explanation:
q=24 m
cause its congurent
If bob gives away 7 blocks, he will have 12 left. How many blocks did he have originally
Answer:
h
Step-by-step explanation:
19 blocks
Answer:
original blocks =19
Step-by-step explanation:
original blocks -7 =12
Add 7 to each side
original blocks -7+7 =12+7
original blocks =19
Finding the volume of the solid.Use unit cubes to help.
Answer:
the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.
Hope this help
Have a nice day :)
Help I am very bad at math I need answers by tomorrow if you can help please do
Answer:
Step-by-step explanation:
(a - b)(a +b) = a² - b²
1 - Sin² A = Cos² A
[tex]LHS = \frac{1}{1- Sin A} + \frac{1}{1 + Sin A}\\\\= \frac{1*(1 + Sin A)}{(1- Sin A)(1 + Sin A)} + \frac{1*(1- Sin A)}{(1 + Sin A)(1- Sin A)}\\\\= \frac{1 + Sin A+ 1 - Sin A}{1^{2}- Sin^{2} A}\\\\= \frac{2}{1 - Sin^{2} A}\\\\= \frac{2}{Cos^{2} A}\\\\= 2 Sec^{2} A[/tex]
2) Sec² A - Tan² A = 1
[tex]LHS = \frac{1}{Sec A - Tan A}\\\\=\frac{1*(Sec A + Tan A)}{(Sec A - Tan A)(Sec A + Tan A)}\\\\=\frac{Sec A + Tan A}{Sec^{2} A - Tan^{2} A}\\\\=\frac{Sec A + Tan A }{1}\\\\= Sec A + Tan A = RHS\\\\\\[/tex]
3) LHS = Cosec² A + Cot² A
= Cosec² A + Cosec² A - 1
= 2Cosec² A - 1 = RHS
[tex]4) LHS = \frac{Sec A}{Cos A}- \frac{Tan A}{Cot A}\\\\ = Sec A*\frac{1}{Cos A}-Tan A*\frac{1}{Cot A}\\\\ = Sec A * Sec A - Tan A * Tan A\\\\= Sec^{2} A - Tan^{2} A \\\\= 1[/tex]
SOLVE EQUATION BY TAKING SQUARE ROOTS.
-100+81a^2=0
Answer:
a = ±10/9
Step-by-step explanation:
[tex]-100+81a^2=0\\81a^2=100\\a^2=\frac{100}{81}\\\sqrt{a^2}=\sqrt{\frac{100}{81} }\\a=10/9\\a=-10/9[/tex]
GOOD MORNING AND CONGRATULATIONS ON YOU GRADUATING :D
Three friends got the prize money worth 36,000. The first friend would get three times the amount of the third friends portion. The third friend would get twice the amount of the second friends portion. Determine the amount that each friend would receive.
Answer: thats tuff
Step-by-step explanation:
The sum of six times a number and the quotient of that number and two is ten.
6x + x/2
Which algebraic expression best represents this word phrase?
The sum of six times a number and the quotient of that number and two
Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Business Bureau are often banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships. Consider the results for a sample of 200 complaints.
Required:
Construct frequency and relative frequency tables showing complaints by industry.
Answer:
[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]n =200[/tex]
[tex]Bank = 26; Cable = 44; Car = 42; Cell = 60; Collection = 28[/tex]
Required
The frequency relative frequency table
The frequency table is as follows:
[tex]\begin{array}{cc}{Industry} & {Frequency} & {Bank} & {26} & {Cable} & {44} & {Car} & {42} & {Cell} & {60} & {Collection} & {28} & {Total} & {200} \ \end{array}[/tex]
Relative frequency (RF) is calculated using:'
[tex]RF = \frac{Frequency}{Total} * 100\%[/tex]
So, we have:
[tex]Bank = \frac{26}{200} * 100\% = 13\%[/tex]
[tex]Cable = \frac{44}{200} * 100\% = 22\%[/tex]
[tex]Car = \frac{42}{200} * 100\% = 21\%[/tex]
[tex]Cell = \frac{60}{200} * 100\% = 30\%[/tex]
[tex]Collection = \frac{28}{200} * 100\% = 14\%[/tex]
So, we have:
[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]
A right rectangular prism is made with 8 small cubes.
Each cube has an edge length of 1/5 inch.
What is the volume, in cubic inches, of the prism?.
Answer:
C. ⁸/125
Step-by-step explanation:
The volume of the right rectangular prism = 8 × volume of 1 cube
Volume of cube = a³
Where,
a = ⅕ inch
Volume of 1 cube = (⅕)³
= 1/125 cubic inch
✔️Volume of the rectangular prism = 8 × ¹/125
= ⁸/125 cubic inch
The nth term of a sequence is given by the rule 3n -1. What is the 10th term of the sequence?
Answer:
well, just put in 10 instead of n, after all we want the 10th, not the n'th
3*10 -1 = 29
simple as that.
hope it helps you. if you got further questions just put them in a comment:)
The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
H0: Level of math is independent of/dependent on grade level.
H1: Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Solution :
The expected matrix is :
[tex]$E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$[/tex] Honors Regular General
6 th grade 33.0986 46.0070 14.8944
7 th grade 34.8592 48.4542 15.6866
8 th grade 32.0423 44.5387 14.4190
Thus we can say that the level of math is not dependent on the grade level.
Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419
[tex]H_0[/tex] : The level of math is independent of the grade level.
[tex]H_1[/tex] : The level of math is dependent on the grade level.
You're at the aquarium, staring into a large exhibit, when you look to your left and slightly downward and you see a jellyfish. You notice that the jellyfish body looks like a very wide, upside-down parabola. What is a possible equation that models the jellyfish, assuming your eyes are at (0, 0)?
a) -2(x + 3)2 + 4
b) -3(x - 2)2 - 1
c) -25(x + 1)2 - 5 .
d) 3(x-4)2 + 2
e) Answer is not there
Step-by-step explanation:
c is an upside down parabola but it is not wide, it is very then so maybe e?
A total of 765 tickets were sold for the school play. They were either adults or students tickets. There were 65 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer: 350 adult tickets
Step-by-step explanation:
(omg I remember this question!)
a stands for the number of adult tickets soldstudent tickets : a + 65
the equation for the prob:
765 = a + (a + 65)
solve:
combine 'like terms'
1.) 765 = a + a + 65
2.) 765 = 2a + 65
- 65 - 65
700= 2a
divide by 2
700/2 = 2a/2
(700/2 = 350)
(the "2" in 2a is cancelled out by the other 2)
350 = a
Can someone answer these questions for me? (Questions are in the picture)
Can you help me please
Answer:
mid point=(x1 + x2)/2 (y1 + y2)/2
(-5+5)/2 and (-7+4)/2
0 and 1.5
midpoint=(0,1.5)
Possible answers, 35, 30, 90,64
Answer:
30
Step-by-step explanation:
this is a right-angled triangle.
as we can see on the graph and the coordinate units,
AB = 4
BC = 7
=>
AC² = AB² + BC² = 4² + 7² = 16+49 = 65
AC = sqrt(65)
now, in every triangle there are certain ratios equal to each other.
a/sin(A) = b/sin(B) = c/sin(C)
a is here BC
b is here AC
c is here AB
and we know B = 90 degrees
sin(90) = 1
so, we have
sqrt(65)/1 = 4/sin(C)
sqrt(65) = 4/sin(C)
sin(C) = 4/sqrt(65) = 0.496138938...
C = 29.7448813...
the closest answer option is 30.
a line passes through the points (2,6) and (4,9) move an expression and a number
Answer:
General equation of line is y=mx+c where m is the slope
Slope of line parallel to x-axis is m=0
So y=(0)x+c⟹y=c
(−4,6) lies on our required line y=c
⟹6=0(−4)+c
⟹c=6
Equation of the line is y=6
Step-by-step explanation:
a perpendicular bisect or, cd, is drawn through point c in ab.
if the coordinates of point a are (-3,2) and the coordinates of point b are (7,6), the x-intercept of cd is __. Point __ lies in CD
Choose all that correctly give the distance in the coordinate plane between two points.
(-5, 8), (5,8)
d = 10
(3,8), (3, -6)
d = 12
(-2,-9), (-2,4)
d = 13
(8, -7), (1, -7)
d = 9
(-12, -4), (-6, -4)
d = 6
Find the equation of the line with m=6 and b = -7. Write the equation in slope intercept form.
Answer: [tex]y=6x-7[/tex]
Step-by-step explanation:
We use the formula y=mx+b to put it into slope-intercept form
m=6 (slope)
b=-7 (y-intercept)
Therefore, the answer is y=6x-7
- The area of a rectangle can be found by using A
24w + w2, where w represents the
width. What is the width of the rectangle when the area is 3456 in.2 ?
Answer:
26w
Step-by-step explanation: