Step-by-step explanation:
To find the factors of -20 (or 20), we ask ourselves: what numbers multiply each other to get -20?
We have:
-20 * 1
-10 * 2
-5 * 4
5* -4
10 * -2
20 * -1
All of these pairs are factors of -20. Choose two that you want to use! Hope this helps!
Answer:
2 and -10 or 4 and -5
Step-by-step explanation:
An integer is any whole number, positive or negative (so not fractions, decimals.... just numbers like -1, -2, 10, etc.).
Hence, there is not only one answer to your question...
It could be 2 and -10, 4 and -5... just not any decimals or fractions!
God bless and stay safe! I hope this helped.
Answer it answer it answer it
Answer:
It sooo D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
In the equation 2y=18, determine which property of equality will be used to isolate the variable. Choose the best answer. A. Multiplication Property of Equality B, Addition Property of Equality C. Division Property of Equality D. Subtraction Property of Equality
Answer:
(C) Division Property of Equality
Step-by-step explanation:
Looking at the equation [tex]2y=18[/tex], we see that if we want to isolate y, we need to divide it by 2 - because we're multiplying it by 2, and 2 times a number divided by 2 is just the number.
The Division Property of Equality states that if we have an equation, [tex]a=b[/tex], then [tex]a\div c = b\div c[/tex].
So, that means [tex]2y\div 2[/tex] will be equal to [tex]18 \div 2[/tex], which is 9.
Hope this helped!
Answer:
C. Division Property of Equality
Step-by-step explanation:
The equation is
2y = 18
The answer is of the form
y = a number
Now, we have 2y. We want y alone. 2y means 2 multiplied by y. Since we want y alone, to undo the multiplication of 2 and y, we need to use division. We need to divide 2y by 2. Then we also need to divide the right side by 2. Since we are using division, the answer is:
C. Division Property of Equality
If $-3\le x+5 \le 8$ and $x$ is an integer, what is the sum of all the possible solutions?
Answer:
-30
Step-by-step explanation:
The integers are the whole numbers and the opposite of the whole numbers.
That is {...,-3,-2,-1,0,1,2,3,...} is the set of integers.
If it is a number you count with or the opposite of a number you count with it or 0, then it is an integer.
So we need to solve the inequality [tex]-3 \le x+5 \le 8[/tex] first, and then just say all the integers included in that compound inequality. Last step is to add since it is asking for the sum of those integers.
Let's do this.
[tex]-3 \le x+5 \le 8[/tex]
Subtract 5 on all sides:
[tex]-3-5 \le x+5-5 \le 8-5[/tex]
Simplify all sides:
[tex]-8 \le x+0 \le 3[/tex]
[tex]-8 \le x \le 3[/tex]
This inequality includes all numbers between -8 and 3, and both include -8 and 3 because of the equal part on both of the inequality parts.
So we have -8,-7,-6,-5,-4,-3,-2,-1,0,1,2, and 3 are the integer solutions of this inequality.
Let's add them. I'm going to put opposites together because I know they will zero out.
So I have this:
-8+-7+-6+-5+-4+-3+-2+-1+0+1+2+3
-8+-7+-6+-5+-4+(-3+3)+(-2+2)+(-1+1)+0
-8+-7+-6+-5+-4+0 +0 +0 +0
-8+-7+-6+-5+-4
-(8+7+6+5+4)
-([8+7]+[6+5]+4)
-([15]+[11]+4)
-(15+11+4)
-([15+11]+4)
-([26]+4)
-(26+4)
-(30)
-30
Solve x+y+z=10 −2x−2y−z=−32 3x−2y+2z=−8 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=
Answer:
(12, 10, -12)
x = 12
y = 10
z = -12
Step-by-step explanation:
Let's start by picking a variable to eliminate from the three equations, since "z" is at the end, let's go with "z".
Next we'll eliminate z from two of the equations by adding them together so:
(x+y+z=10) + (-2x-2y-z=-32)
you'll get: -x-y=-22
Next we'll eliminate z from the remaining equation in the same way so:
(-2x-2y-z=-32) + (3x-2y+2z=-8)
you'll get: -x-6y=-72
We now have two new equations:
-x-y=-22
-x-6y=-72
From these let's eliminate another variable, let's go with "x" and since both "x" are negative we'll multiply one of the equations by the negative sign of the other equation so we'll end up with one positive x and one negative x, which looks like this:
-x-y=-22
x+6y=72
and when we add these two equations we get:
5y=50
Finally we can solve for y:
y=10
With the known value of y we can use y to plug into the other equations and solve for the x and z variables to get x=12, y=10, z=-12
Which are equivalent to Two and one-third times three-fourteenths? Check all that apply. One-half,Six-thirds times three-fourteenths, Seven-thirds times three-fourteenths, 18/42, 21/42
Answer:
Step-by-step explanation:
[tex]2\frac{1}{3}*\frac{3}{14}=\frac{7}{3}*\frac{3}{14}=\frac{1}{2}\\\\[/tex]
option 1)one- half
1/2
Option 3) Seven-thirds times three fourteenths
[tex]\frac{7}{3}*\frac{3}{14}=\frac{1}{2}\\\\[/tex]
Option 5) 21/42
[tex]\frac{21}{42}=\frac{1}{2}[/tex]
find the area of square of one of its side is (3x+4y)cm.If x=4 and y=1,find its actual area.
Answer:
Step-by-step explanation:
hello :
the area is : (3x+4y)²cm² when :x=4 and y=1, the area is : (3(4)+4(1))²cm² =16²cm2=256cm²
Simplify the expression: 4a - 3(4 - a)
Answer:
7a-12Step-by-step explanation:
[tex]4a-3\left(4-a\right)\\\\\mathrm{Expand}\:-3\left(4-a\right):\quad -12+3a\\\\=4a-12+3a\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\=7a-12[/tex]
Which set of side length is a Pythagorean triple? A. 2,3,13 b. 5,7,12 C. 10, 24, 29 D. 11,60,61
Answer:
B. 5,7,12 is what I got.
How to find the value of :-
[tex] \sqrt{35} [/tex]
[tex] \sqrt{2} [/tex]
please someone help me..!!!!
Answer: see proof below
Step-by-step explanation:
Use the Triple Angle Identity: sin 3A = 3sinA - 4sin³A
[tex]\text{Given:}\quad \sin\bigg(\dfrac{\theta}{3}\bigg)=\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)[/tex]
Proof LHS → RHS
LHS: sin Ф
Let A = Ф/3 sin 3A
Triple Angle Identity: 3sinA - 4sin³A
Substitute Ф/3 = A: 3sin(Ф/3) - 4sin³(Ф/3)
Substitute sin(Ф/3): [tex]3\bigg(\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)\bigg)-4\bigg(\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)\bigg)^3[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{3m}{2}+\dfrac{3}{2m}-4\bigg(\dfrac{1}{8}\bigg(m^3+3m+\dfrac{3}{m}+\dfrac{1}{m^3}\bigg)\bigg)\\\\.\qquad \qquad \qquad =\dfrac{3m}{2}+\dfrac{3}{2m}-\dfrac{m^3}{2}-\dfrac{3m}{2}-\dfrac{3}{2m}-\dfrac{1}{2m^3}\\\\.\qquad \qquad \qquad =-\dfrac{m^3}{2}-\dfrac{1}{2m^3}\\\\\text{Factor:}\qquad \qquad -\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)[/tex]
[tex]\text{LHS = RHS:}\quad -\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)=-\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)\quad \checkmark\\[/tex]
Which expression is equivalent 4/5 - 1/3?
Answer:
7/15
Step-by-step explanation:
Well 4/5 - 1/3 = 12 / 15 - 5 / 15 which is equal to 7/15, but there aren't any expressions in your question.
Answer:
7/15
Step-by-step explanation:
4/5 - 1/3 = 12 / 15 - 5 / 15 = 7/15
Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12
Answer:
A. 6 to the Second Power.
Step-by-step explanation:
Hope it Helped!
-7•(-9)
need help on this one with full work including
Answer:
-7×-9
=63
Step-by-step explanation:
If u multiple - with -, I'll get + sign
Answer:
63
Step-by-step explanation:
-7*(-9)
7*9
63
Best of Luck!
What is the answer to m^7 · m^−3?
Answer:
M^4
Step-by-step explanation:
Here use product law which state- same base power should add
M^7-3
M^4
Which of the following is an equation of the line that passes through the point (–2, 3) and is perpendicular to the graph of the equation y = 3x – 2? A. y = –13x + 73 B. y = –13x + 113 C. y = 3x + 9 D. y = 3x – 3
Answer:
its is a
Step-by-step explanatioits n:
The equation of the line will be y = (1/3)x + ( 11 / 3 ). The correct option is B.
What is an equation of a line?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Let m be the slope of the line and c is the y-intercept of the line.
The equation of the line is given as,
y = mx + c
The product of the slopes of the perpendicular lines is equal to -1.
y = 3x – 2
m = 3
Then the slope of the perpendicular line will be -1 / 3. The equation of the line will be written as below:-
y = (-1 / 3)x + c
The line is passing through the point (–2, 3). Then calculate the value of the constant.
3 = (-1 / 3 )2 + c
c = 11 / 3
The equation of the line will be:-
y = (-1/3)x + (11/ 3)
Therefore, the equation of the line will be y = (1/3)x + ( 11 / 3 ). The correct option is B.
To know more about the equation of the line follow
https://brainly.com/question/18831322
#SPJ2
help meeeeee plllllsssss 10pts + brainliest!!!!
Answer:
[tex]\frac{3*(8e-4f-1)}{8}[/tex]
I hope this helps. Sorry for a late response. I used
tiger-algebra.com
PEACE!☘️
Pls halp due today >_<. Thank you
Answer:
5√8, 14.025, 40/3, √170
Step-by-step explanation:
Step 1: Evaluate √170
√170 = 13.0384
Step 2: Evaluate 5√8
5√8 = 14.1421
Step 3: Evaluate 40/3
40/3 = 13.333
Step 4: Align greatest to least
14.1421 > 14.025 > 13.333 > 13.0384
Step 5: Revert
5√8, 14.025, 40/3, √170
PLEASE HELP! I will mark brainliest!
Answer:
D
Step-by-step explanation:
Instead of going through each of the table, let's create one ourselves.
So, we have the piecewise function:
[tex]f(x)=-x+8,\text{ if } x<4\\f(x)=x, \text{ if } x\geq 4[/tex]
So, let's create a table of values starting with 2 and skipping the odd numbers until 12.
2:
For 2, since 2 is less than one, plug it into the first equation. Thus:
[tex]f(2)=-(2)+8=6[/tex]
So, the first value is (2,6).
For 4, since 4 is not less than 4 but rather equal to 4, use the second equation. Thus:
[tex]f(4)=(4)=4[/tex]
The second value is (4,4).
For 6, the same thing. 6 is greater than 4 so use the second equation:
[tex]f(6)=(6)=6[/tex]
So the third value is (6,6).
And this pattern will repeat. Therefore, our table of equations is:
x | y
2 | 6
4 | 4
6 | 6
8 | 8
10 | 10
12 | 12
The choice that represents this is D. D is the correct answer.
help me please I've tried for hourss
Answer:
I = BLv/R
Step-by-step explanation:
V = BLv
V = IR
Since both right sides are equal to V, set the right sides equal to each other.
IR = BLv
I = BLv/R
Nancy bought 8 amusement park tickets for $82. About how much did each ticket cost?
Answer:
10.25
Step-by-step explanation:
Answer:
the answer would be 10.25
Q1. Find y, if √12 - √147 + y√3 = 0
Q2. Without using tables or calculators, find the value of Sin45° - Cos30°
Hints: Sin45° = √2/2 Cos 30° = √3/2.
Answer:
Q1. y = 5 Q2. (√2 - √3)/2
Step-by-step explanation:
Q1
√12 - √147 + y√3 = 0
Taking -√147 and √12 to the right hand side, we have
y√3 = √147 - √12
y√3 = √(3 × 49) - √(3 × 4)
y√3 = √3 × √49 - √3 × √4
y√3 = √3 × 7 - √3 × 2
y√3 = 7√3 - 2√3
y√3 = 5√3
Dividing both sides by √3, we have
y√3/√3 = 5√3/√3
y = 5
Q2
Sin45° - Cos30°
Since Sin45° = √2/2 and Cos 30° = √3/2
Substituting these values into the equation, we have
Sin45° - Cos30° = √2/2 - √3/2
Taking L.C.M of both factors, we have
Sin45° - Cos30° = (√2 - √3)/2
area is calculated by:
Answer:
multiplying the length and the width.
Step-by-step explanation:
To find the area of a rectangle, multiply its height by its width.
For a square you only need to find the length of one of the sides then multiply this by itself to find the area.
Subtract b (b²+b -7) + 5 from 3b² – 8 and find the value of expression obtained for b = -3. please explain how you got the answer
Answer:
16
Step-by-step explanation:
Subtracting the 2 expressions
3b² - 8 - b(b² + b - 7) ← distribute parenthesis
= 3b² - 8 - (b³ + b² - 7b) ← distribute parenthesis by - 1
= 3b² - 8 - b³ - b² + 7b ← collect like terms
= - b³ + 2b² + 7b - 8 ← substitute b = - 3 into the expression
= - (- 3)³ + 2(- 3)² + 7(- 3) - 8
= - (- 27) + 2(9) - 21 - 8
= 27 + 18 - 21 - 8
= 16
Simplify the expression.
-b + 2 + 9b
Answer:
8b+2
Step-by-step explanation:
Combine Like Terms:
=−b+2+9b
=(−b+9b)+(2)
=8b+2
A bag contains 7 red marbles, 8 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
Answer:
7/51
Step-by-step explanation:
Assuming that the marbles are drawn without replacement, the probability of the first marble being drawn is 7/(7+8+3) which is 7/18.
The probability of the second marble being red is 6/17, as there are 6 red marbles left and 17 marbles in the bag.
We then multiply 7/18 and 6/17, getting 7/51.
{ (-2, 4), (0, 2), (-1, 3), (4, -2) } The set of ordered pairs above: A mapping diagram has 2 boxes. Box 1 is labeled domain with entries negative 3, 4, negative 1, 5. Box 2 is labeled range with entries 3, 7, negative 2. Arrows show which domain value match onto which range value. An arrow goes from negative 3 to 3, 4 to 7, and arrows go from both negative 1 and 5 to negative 2. The mapping diagram above:
Answer:
Function
Step-by-step explanation:
Answer:
A - Both answers are functions
Step-by-step explanation:
Evaluate 6 - 2(-1) +1|-5|= 1
a.9
b.1
c.13
Answer:
c
Step-by-step explanation:
You need to buy canning jar. They cost $15 a box, and you only have $150 to spend. You also have a coupon that will give you a $25 discount on your total. What is the maximum number of boxes you can buy?
Answer:
You can buy a maximum number of 11 boxes
Step-by-step explanation:
The first step is to calculate the number of boxes that you can afford with the $150 without the discount. This can simply be done by dividing $150 by $15
= 10 boxes.
The next step is to calculate the effect of the discount on the total of $150. The $25 discount will increase your average sum to $175. This extra $ 25 can afford you one more box. bringing the total number of boxes to 11.
You can buy a maximum number of 11 boxes
What is the product of (negative 6) (negative 7) (negative 1)?
Answer:
-42
Step-by-step explanation:
negative * negative = positive
positive * negative = negative
negative * positive = negative
(-6)(-7)(-1) =
= 42(-1)
= -42
Answer:
-42
Step-by-step explanation:
negative * negative = positive
positive * negative = negative
negative * positive = negative
(-6)(-7)(-1) =
= 42(-1)
= -42
Please Help! 15 Points. Which of the following can be used to rewrite the expression (3)(2+c)? There are two correct answers. A. Commutative Property of Multiplication B. Associative Property of Addition C. Associative Property of Multiplication D. Commutative Property of Addition
Answers:
A. Commutative Property of Multiplication
D. Commutative Property of Addition
=======================================
Explanation:
The commutative property of multiplication is the idea we can multiply two numbers in any order. The rule is x*y = y*x
An example would be 2*3 = 3*2 since both sides result in 6.
The same applies to 3*(2+c) because it can be written as (2+c)*3. Simply flip the two factors 3 and (2+c).
--------------------
A similar idea is the commutative property of addition. This rule says that we can add two numbers in any order we want.
x+y = y+x
An example would be 7+9 = 9+7 because both sums result in 16
Using this rule, we can rewrite 2+c as c+2
Therefore 3(2+c) is the same as 3(c+2)
--------------------
We can't use any associative properties because we would need to have 3 terms being either added or 3 terms being multiplied, for associative rules to apply.
For instance 1+(2+3) = (1+2)+3 is an example of the associative property of addition. An example of the associative property of multiplication would be 3(7*9) = (3*7)*9