Answer:
The slope of the equation y-3=-4(x-5) is -4.
Step-by-step explanation:
This equation is written in point-slope form: y-y₁=m(x-x₁), where "m" is the slope or the equations. In the equation y-3=-4(x-5), the -4 stands in the "m", or slope, spot, so the sope of this equation is -4.
Slope of the equation is equals to -4.
What is slope?
" Slope is defined as the ratio of the change in y-coordinates to the x-coordinates. It is also known as inclined plane."
General equation of line
y = m x + c ____(1)
'm' = slope of the line
'c' = y - intercept
According to the question,
Given equation,
[tex]y-3 = -4(x-5)[/tex]
Open the brackets of the equation we get,
[tex]y-3 = -4x+20[/tex]
Add 3 both the sides of the equation we get,
[tex]y = -4x+23[/tex] ______(2)
Compare equation (1) and (2) to get the slope we have,
Slope 'm' = -4
y-intercept = 23
Hence, slope of the equation is equals to -4.
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What’s the value of g(9)?
Answer:
-12
Step-by-step explanation:
Since we want to find g(9), we will use the function g(x):
[tex]g(x)=-2x+6[/tex]
Substitute:
[tex]g(9)=-2(9)+6[/tex]
Multiply:
[tex]g(9)=-18+6[/tex]
Add:
[tex]g(9)=-12[/tex]
So, our answer is -12 :)
a cube measuring 1 cm on each side, what is the volume, if the cube was dropped into 28ml of water. what would the new volume be?
Answer:
29 ml
Step-by-step explanation:
Vcube = 1cm×1cm×1cm = 1 cm³
1 cm³ = 1 ml
If this cube is dropped into a 28ml of water the new reading will be 29 ml.
hope this helped :)
Determine if the sequence shown below is arithmetic or geometric.
1, 8, 15, 22, 29...
Answer:
it is arithmetic
Step-by-step explanation:
moves up by 7
Solve b – 3/16 =5/16
b= __
Answer: 0.5
Step-by-step explanation:
Add 3/16 to both sides to isolate the variable on one side. Then the equation should be x=8/16 which is 0.5.
Which sequence describes the inverse operations used
for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the
division property of equality
O the addition property of equality and then the
multiplication property of equality
O the subtraction property of equality and then the
division property of equality
the subtraction property of equality and then the
multiplication property of equality
Answer:
A) the addition property of equality and then the division property of equality
Step-by-step explanation:
I just did it hope this helps! :)
The addition property of equality and then the division property of equality is the sequence which describes the inverse operations used
for steps 2 and 3 to solve the linear equation
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given Linear equation is -1/2 (6x + 10) = 13
Minus one by two times of six x plus ten equal to thirteen
Step 1: –3x – 5 = 13
By addition property we add +5 on both the sides
Step 2: –3x = 18
By division property we divide both sides by -3
Step 3: x = –6
Hence, the addition property of equality and then the division property of equality is the sequence which describes the inverse operations used
for steps 2 and 3 to solve the linear equation
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Simplify the expression 15k+8(11-k)
Answer:
15k+88-8k
7k+88 is the solution
Answer:
Look below
Step-by-step explanation:
THe screenshot is proof
-3(-7) I need this asap pls help me
[tex]\boxed{21}[/tex]
When you multiply a negative and a negative, it is going to be a positive number. In this case, we're multiplying -3 and -7, which is equal to 21. If you're not sure of the answer for multiplication problems like this, just use a calculator to check your work.
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------
Answer: [tex]\boxed{21}[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~When you multiply two negatives (-, -,), you are gonna get a positive(+)
[Like making a cross out of two lines].
[tex]-3(-7) = +3(+7)[/tex]
Since 3(7) normally equals 21, that would be the answer for this case.simplify 247+13 all the work please
Answer:
247+13=260
Step-by-step explanation:
When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michele come to about the linear function with the smallest slope?
Answer:
The linear function with the smallest slope must be multiple of one of the other two linear functions if all functions are coplanar. Otherwise, they intersect at the given point in space.
Step-by-step explanation:
A system of two linear functions with two variables have an unique solution on a given plane, as there are three linear function, it means that linear function with the smallest slope must be multiple of one of the other two linear functions.
But, if those functions are not all coplanar and have 3 variables, they intersect at the given point.
What is the product?
5
-2
-6
2
Answer:
-3
4
Step-by-step explanation:
We do across times down
5*-1 + -2 *-1 = -5+2 = -3
-6 *-1 + 2 * -1 = 6 -2 = 4
Given:ST=3x=3 and TU=2x=9 what is the value of ST
Answer:(x+3)2 4+4=( x+3)2=4
Step-by-step explanation:
what is the DISTANCE
FORMULA?
What is the difference of 67.5 and 23.678
Answer:
43.822
Step-by-step explanation:
67.5
- 23.678
43.822
In Russel Elementary School there are 50 students. At the beginning of the year, each student planted three flowers in the school yard. During the year, eight flowers withered. Which of the following expressions represents the number of flowers that remained in the school yard? A. (3 × 50) – 8 B. (50 + 3) – 8 C. (50 × 8) – 3 D. (50 × 3) ÷ 8
Answer:
option A is correct answer
PLS ANSWER ASAP I WILL MAKE YOU BRAINLIEST ( Number 10.)
Answer:
x=160°
since the sum of angles of the shape measures 540°
by summing up the values, we have
3x=480 divide both sides by 3
x=160°
Answer:
160°I hope i am not too lateStep-by-step explanation:
[tex]Sum\:of\:angles\: = 540\\\\\frac{1}{2}x +\frac{1}{2} x +(x-15)+(x-25)+100=540\\\\=\frac{1}{2}x+\frac{1}{2}x+x-15+x-25+100=540\\\\Group\: like \:terms\\\frac{1}{2}x+\frac{1}{2}x+x+x-15-25+100=540\\\\Add\:similar\:elements \::\frac{1}{2}x+\frac{1}{2}x=2\times\frac{1}{2}x\\2\times\frac{1}{2}x+x+x-15-25+100=540\\\\Simplify\\x+2x-15-25+100=540\\Simplify\\3x +60 = 540\\\\3x = 540-60\\3x = 480\\Divide \:both\:sides\:of\:the\:equation \:by\:3\\\\\frac{3x}{3} = \frac{480}{3}\\ x =160[/tex]
the ratio of adults to children attending a new exhibit at the museum was found to be 8:5 based on this ratio , if 390 people attended one day , how many would be children
Answer:
150 children
Step-by-step explanation:
Ratio of adults to children= 8:5
Let the number of adults be 8 units and
the number of children be 5 units.
Total number of people
= 8 +5
= 13 units
Since there are 390 people,
13 units ----- 390 people
1 unit ----- 390 ÷13= 30 people
Number of children= 5 units
5 units ----- 30 ×5= 150 people
Thus, there are 150 children.
PLEASE HELP I WOULD REALLY APPRECIATE IT...
Find the sum.
{-7b+8c}-{12a+14}+{5a+5b}
Answer:
-2b+8c-7a-14
Step-by-step explanation:
You first combine like terms to simplify.
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(1))?
Answer:
[tex]f(g(1))=11[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]
And we want to find f(g(1)).
So, let's find g(1) first:
[tex]g(x)=-3x+5[/tex]
Substitute 1 for x:
[tex]g(1)=-3(1)+5[/tex]
Simplify:
[tex]g(1)=-3+5[/tex]
Add:
[tex]g(1)=2[/tex]
So:
[tex]f(g(1))=f(2)[/tex]
Now, substitute 2 for x in f(x):
[tex]f(x)=2x+7\\f(2)=2(2)+7[/tex]
Multiply:
[tex]f(2)=4+7[/tex]
Add:
[tex]f(2)=11[/tex]
So:
[tex]f(g(1))=11[/tex]
Find the prime factors of 60 by dividing by prime numbers.
Let's start with the smallest prime number 2
60/2 = 30
Divide that result over 2
30/2 = 15
We can't divide this by 2 because 15/2 = 7.5 isn't a whole number
Let's move onto 3
15/3 = 5
The result is a prime number, so we stop.
The values we divided as denominators were: {2, 2, 3}
We add the result 5 to the set to completely list all of the prime factors of 60
The prime factorization would be
60 = 2*2*3*5which is the same as saying
60 = 2^2*3*5write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.
Answer:
work shown and pictured
A cone and cylinder have the same height and their bases are congruent circles. If the volume of the cylinder is 120 cubic inches, what is the volume of the cone?
Answer:
Volume of cone = 40 in³
Step-by-step explanation:
Given:
Volume of cylinder = 120 in³
Height of cylinder = Height of cone
Radius of cylinder = Radius of cone
Find:
Volume of cone
Computation:
Volume of cylinder = πr²h = 120 in³
Volume of cone = (1/3)πr²h
So,
Volume of cone = (1/3)(120)
Volume of cone = 40 in³
7 billion expressed in scientific notation
The question is in the photo.
Answer:
Question 2 because the point up is -6 and to the right is 2
Step-by-step explanation:
p2-16p+48=0 Please solve this math problem
Answer:
( p - 4 ) ( p - 12 ) = 0
Step-by-step explanation:
To factor this equation, let's apply the quadratic formula.
p^2 - 16p + 48 = 0
Let a = 1, b = -16, c = 48
[-b +/- sqrt(b^2 - 4(a)(c))] / 2 (a)
[- (-16) +/- sqrt( (-16)^2 - 4(1)(48)) ] / 2 (1)
= [ 16 +/- sqrt( 256 - 192) ] / 2
= [ 16 +/- sqrt(64) ] / 2
= [16 +/- 8] / 2
p = (16 + 8) / 2 ; p = (16 - 8) / 2
p = 24 / 2 ; p = 8 / 2
p = 12 ; p = 4
Hence, this equation factors into the following:
( p - 4 ) ( p - 12 ) = 0
Cheers.
1+x^2-3+2y+7x^2+3+3y
Answer:
8x^2+5y+1
Step-by-step explanation:
1+x^2-3+2y+7x^2+3+3y
Combine like terms
x^2+7x^2+2y+3y+3+1-3
8x^2+5y+1
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
simplify the following expression.
[tex]14 - 24 \div 8 + 3 \times {4}^{2} [/tex]
What is another word for evaluate?
Answer:
another word for evaluate is solve
Answer:
Evaluate --> find a numerical expression or equivalent for (an equation, formula, or function).
Also evaluate means checking ( for a teacher )
how many 2/3 cups can go into 9 cups
Hello there! :D
Today we're gonna learn some math, whoopie!
Alright, so we want to know how many 2/3 cups can go into 9 cups!
Firstly, I want to turn 9 cups into a fraction with the denominator of 3.
Let me do it all fancy for you:
[tex]9=\frac{x}{3}[/tex]
We know we want the denominator to be three, now we just need to do the opposite action (multiplication) to the other side to find what "x" is!
[tex]9*3= \frac{x}{3}*3[/tex]
If you have trouble understanding that step, let me know!
[tex]x=27[/tex]
Enter that into the fraction and we have:
[tex]\frac{27}{3}[/tex]
Notice that 27 is not an even number!
Now, we can the numerator of 27/3s and divide it by the numerator of 2/3s.
[tex]27/2=13.5[/tex]
This is not a whole answer, but the question is asking how many 2/3 cups can go into nine cups. Half of a 2/3 cup does not equal a 2/3 cup, so the answer would be 13 cups.
I hope this helps you can you have a wonderful day,
Kai xx
The number of 2/3 cups that can go into 9 cups is [tex]13\frac{1}{2}[/tex]
Total number of cups = 9
The number of 2/3 cups we can get from 9 cups = x
To get the number of 2/3 cups in 9 cups, we will divide 9 by 2/3
Number of 2/3 cups in 9 cups = 9 ÷ 2/3
Number of cups in 9 cups = 9 x 3/2
x = 27/2
x = 13.5
The number of 2/3 cups that can go into 9 cups is [tex]13\frac{1}{2}[/tex]
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solve the product of : 0.017 and 10
(( TYPE the STEPS you used to set up the problem and type your steps to solve. )) THANK YOU!!
The product of any two numbers is the result of multiplying them
You can use pencil and paper to get the job done, or use a calculator.
A shortcut is to simply move the decimal over 1 spot to the right.
This is because multiplying 0.017 and 10 is the same as 0.017*10^1, where the exponent of positive 1 means "move decimal point 1 spot to the right". This only works if you multiply by powers of 10.
Answer: 0.17if |x|=6 then x=-6 true or false
Answer:
false because it could be 6
Step-by-step explanation: