The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (5, 2) and (0, -13). Substitute:
[tex]m=\dfrac{-13-2}{0-5}=\dfrac{-15}{-5}=3[/tex]
Answer: slope = 3Answer:
3
Step-by-step explanation:
We are to find the slope of a line which passes through the two given points: (5, 2) and (0, -13).
We know the formula of the slope (m):
[tex]Slope[/tex][tex](m)[/tex]=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
So putting in the values of the coordinates of the given points in the formula to get:
Slope = [tex]\frac{-13-2}{0-5} =\frac{-15}{-5}[/tex] = 3
Therefore, the slope slope of a line which passes through the two given points: (5, 2) and (0, -13) is 3.
For which value of X is the row in the table of values incorrect? The function is the quadratic function Y=3/4x^2
Answer:
The row with x = 2 and y = 4 is incorrect. The y value should be y = 3 when x = 2.
==============================================================
Explanation:
Fractions can be a bit of a pain, so I'm going to be converting to decimal form to help with the computation; however, I will convert the y value results to mix number form so that it matches what the table shows.
Keep in mind that 3/4 = 0.75 when you use a calculator or long division. So a number like 2.75 means 2 & 3/4 (two and three quarters)
---------------
Let's check the first row. Plug in x = 0 and it leads to...
y = (3/4)*x^2
y = (3/4)*0^2
y = (3/4)*0
y = 0.75*0
y = 0
This shows us that row 1 is correct. When x = 0, y = 0 leading to (x,y) = (0,0).
-------------
Repeat the same basic outline of steps, but now use x = 2
y = (3/4)*x^2
y = (3/4)*2^2
y = (3/4)*4
y = 0.75*4
y = 3
So instead of 4, the proper y value is y = 3 when x = 2. This means row 2 is the answer (the row that has the incorrect values).
-------------
For the sake of completeness, let's see if the third row is correct or not. Plug in x = 3
y = (3/4)*x^2
y = (3/4)*3^2
y = (3/4)*9
y = 0.75*9
y = 6.75
y = 6 & 3/4
We see that x = 3 points to y = 6 & 3/4, so we have the correct values in this row. We can cross this off the list of choices.
-------------
Finally, let's check x = 5
y = (3/4)*x^2
y = (3/4)*5^2
y = (3/4)*25
y = 0.75*25
y = 18.75
y = 18 & 3/4
We get the proper y value. So we can also cross this off the list.
Denise bought a t-shirt at the sale price of $25 the original cost of the T-shirt was $40 what percent represents the discount that Denise received when buying the T-shirt
Answer:
37.50%
Step-by-step explanation:
Use the formula: Old Value minus New Value (in absolute value bars) divided by Old Value times 100
New Value = $25 / Old Value = $40
$40 - $25 = $15
$15 divided by $40 is 0.375
0.375 times 100 (0.375 x 100) is 37.50
Which equation is graphed here
A) y=2x+3
B) y=2x-3
C) y=3x+2
D) y=3x-2
Answer:
C) y=3x+2
Step-by-step explanation:
Looking at the graph, we can see the y intercept is at 2.
All of the answers are in the form y = mx +b
where b is the y intercept
y = mx+2
The only answer that has the y intercept of 2 is y = 3x+2
Determine the slope of the line J(0,0) K(-2,8)
Answer:
slope is -4 or in a fraction, -4/1
Step-by-step explanation:
When you have 2 points, you can find the slope by subtracting them by each other. You must do 8 - 0 which is 8, then -2 - 0 which is -2. Then you get 8/-2. Once simplified, you get -4, and you know if the number is alone, there is always a 1 under it so you get -4/1.
Hello!
Step-by-step explanation:
[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{8-0}{(-2)-0}=\frac{8}{-2}=-4[/tex]
Slope is -4
Final answer is -4
*The answer must have a negative sign.*
I hope this helps you!
Have a nice day! :)
-Charlie
:D
PLEASE HELPPP!!!
WILL GIVE THE BRAINLEST!!!
Answer:
5.) Proportionality is 3/1 or 3 simplified
b x 3 = pb= boxesp= pens in box6.) Proportionality is 1/6
m ÷ 6 = pm = muffinsp= pack(s) of muffinsStep-by-step explanation:
You would take the first column (or in this case row (pens and packs) and place the 2nd row under it in fraction form.
5.) 3/1 = 36.) 1/6 = 1/6That would be your proportion
Then you would (in place of numbers) use letters to symbolize in the equation
5.) p = pens: b= boxes6.) m= muffins; p= packThen create an equation to figure out how to get the correct numbers.
1 box holds 3 pens so:5.) b x 3 = pCheck: 2 boxes x 3 pens per box = 6 pens (check table) Correct!6 muffins in 1 pack so:6.) m ÷ 6 = p12 muffins ÷ 6 muffins in per box = 2 packs (check table) Correct!A water company offers industrial users two different packages. The users can either pay 77 cents per thousand gallons, or pay a fixed amount of $1,232,000 for unlimited water usage for one year. How much water does an industrial user need to use in one year for the fixed amount package to be the less expensive option?
The water used will be greater than 1600000 thousands of gallons for the fixed amount to be less expensive.
How to find amount of water used for it to be less expensive?The users can either pay 77 cents per thousand gallons, or pay a fixed amount of $1,232,000 for unlimited water usage for one year.
Therefore,
77 cents = 0.77 dollars
Hence,
The user can pay 0.77 per thousand gallons.
He can pay a fixed amount of $1,232,000 .
Therefore, the amount of water the company will use for the fixed amount to be less expensive is as follows;
let
x = amount of water use in thousand gallons
Using inequalities,
0.77x ≥ 1,232,000
x ≥ 1,232,000 / 0.77
x ≥ 1600000
Therefore, the water used will be greater than 1600000 thousands of gallons for the fixed amount to be less expensive.
learn more on inequality here: brainly.com/question/16887207
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What is the domain of f(x)=(1/2)^x
Answer:
Domain: all real numbers
Step-by-step explanation:
The domain of a function is the set of values that x can be replaced with.
In this function, x can be replaced by any real number, so the domain of the function is all real numbers.
Here we need to find the domain of the given function.
We will see that the domain is the set of all real numbers.
The first thing we need to do is to define the domain of a function.
For a given function f(x), we define the domain as the set of possible inputs that we can use on the function.
Usually, we start by defining the domain as the set of all real numbers and then remove from the domain the numbers that cause "a problem" with our function.
Where these "problems" are undefined operations, like the logarithm of a negative number or a zero in a denominator.
Particularly, in our function: f(x) = (1/2)^x
We do not have a denominator that can become zero nor a function that has problems with some given values of x (the exponent of a number can be any real number).
Concluding, because there is no problem with any real value, we can see that the domain is the set of all real numbers.
If you want to learn more, you can read:
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Which equation and solution represents each situation? Solutions may be rounded to the nearest tenth. What number is 74% of 58?
42.9
Step-by-step explanation:"74% of 58" translates to ...
... 74/100 × 58 = 42.92
Rounded to the nearest tenth, this is 42.9.
_____
Comment on translation
In this context, "of" means "times." Of course, % means /100, so ...
... 74% = 74/100 = 0.74
PLEASE HELP ME QUICK what is the simplified form of x+9/x+1 + x-2/5?
Answer:
A
Step-by-step explanation:
C and D are both wrong for the same reason. The denominator should be (x +1)*5 which means that either A or B is correct.
C and D have an error seldom seen on Brainly. It means that the denominator has been added rather than multiplied but even the addition is a little strange. Frankly, I don't know what has to be done to get either of them.
So the answer is
numerator: 5*(x + 9) + (x + 1)(x - 2)
denominator: 5*(x + 1)
Simplify the numerator. Remove the brackets.
numerator: 5x + 45 + x^2 - 2x + x - 2 Gather like terms
numerator: x^2 + 5x - 2x + x + 43 Simplify
numerator: x^2 + 4x + 43
Answer
x^2 + 4x + 43
==========
5(x + 1)
Which of the following CANNOT be the length of AC?
now, if you took a look at that link above, let's see.
if we take AB and BC and lie them flat, by opening up the vertex at B, the longest that'd give us is 12+14 = 26, so AC can be at most LESS than 26 units, because if it's 26, then we end up with a flat-line and lose the triangle, so 25 or less is fine for AC.
can it be 30? well, how the dickens are AB + BC going to give 30 or more than 30 really? nope, not quite, it can't be.
1. Two boats A and B depart from a port at the same time, travels to the north at 15 miles per hour, while B travels eastward at 20 mph. How fast boats are separated two hours after they left the port?
Answer:
50 mi
Step-by-step explanation:
Two hours after leaving port,
Boat A has travelled 30 mi north Boat B has travelled 40 mi east.The triangle formed by their tracks and the line joining their current positions is a right-angled triangle.
According to Pythagoras,
a² + b² = c²
30² + 40² = c²
900 + 1600 = c²
2500 = c²
√(2500) = c
c = 50 mi
The boats will be separated by 50 mi two hours after leaving port.
If ABC is congruent to DEC, angle B = 50 degrees and angle E = 5x x=
Answer:
the answer is 10
Step-by-step explanation:
if b is congruent to e
(which it is)
e=50 degrees
50/5=10
x=10
The value of x is 50 degrees.
Explanation:In the given question, if ABC is congruent to DEC and angle B is 50 degrees, we want to find the value of angle E.
Since ABC and DEC are congruent, their corresponding angles are equal.
Therefore, angle E will also be equal to angle B, which is 50 degrees.
So, x = 50 degrees.
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PLEASE HELP, I WILL MOVE TO A DIFFERENT SCHOOL IF I DONT PASS!!!!
Do number 1 all of the letters, a, b, c, d , e , and f.(its just connecting the equations).
for number 2, just do b and c.
if you know how to do 3, (b and c), that would be great.
plz help me out.
find slope for 7x-2y=0.2
[tex]7x - 2y = 0.2[/tex]
Answer:
slope = -7/2
Step-by-step explanation:
To find the slope, we will solve the equation for y.
7x-2y=0.2
Subtract 7x from each side.
7x-7x-2y=-7x+0.2
-2y = -7x+0.2
Then we need to divide each side by -2
-2y/-2 = -7x/-2 + 0.2/-2
y = -7/2 x -0.1
This is in the form y= mx+b where m is the slope and b is the y intercept.
So the slope is -7/2 and the y intercept is -0.1
Leila has scored 33, 28, 24 and points in her three basketball games so far. How many points does she need to score in her next game so that her average (mean) is 27 points per game?
Leila needs to score 23 points in her next game to have an average of 27 points per game.
Explanation:
To find out how many points Leila needs to score in her next game in order to have an average of 27 points per game, we need to use the formula for finding an average. The sum of all the points scored is 33 + 28 + 24 + x (the points in the next game), and we divide this sum by the number of games, which is 4. So, the equation is (33 + 28 + 24 + x) / 4 = 27. To solve for x, we multiply both sides of the equation by 4 to get 33 + 28 + 24 + x = 27 * 4. Simplifying this gives us 85 + x = 108. To isolate x, we subtract 85 from both sides of the equation, which gives us x = 108 - 85. So, Leila needs to score 23 points in her next game to have an average of 27 points per game.
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some one answer ASAP!! in trail mix, there are nuts and dried fruit. In one mix there is 40% dried fruit. In another, there is 60% dried fruit. How many pounds of each mix is needed to make 5 pound mix that is 55% dried fruit?
let x= The amount of 40% fruit mix
let y=the amount of 60% fruit mix
what is the solution to the system
[tex]p\%=\dfrac{p}{100}\\\\40\%=\dfrac{40}{100}=\dfrac{4}{10}=0.4;\ 60\%=\dfrac{60}{100}=\dfrac{6}{10}=0.6;\ 55\%=\dfrac{55}{100}=0.55\\\\\left\{\begin{array}{ccc}x+y=5&\to x=5-y\\0.4x+0.6y=0.55\cdot5\end{array}\right\\\\\text{Use substitution method}\\\\0.4(5-y)+0.6y=2.75\qquad\text{use distributive property}\\\\(0.4)(5)+(0.4)(-y)+0.6y=2.75\\\\2-0.4y+0.6y=2.75\qquad\text{subtract 2 from both sides}\\\\0.2y=0.75\qquad\text{multiply both sides by 5}\\\\\boxed{y=3.75}[/tex]
[tex]\text{Put the value of y to the first equation}\\\\x=5-3.75\\\\\boxed{x=1.25}\\\\Answer:\ x=1.25\ and\ y=3.75.[/tex]
If the sides of a triangle MNP are MN= 4x+9, NP= x+5, MP= 7x-20, find the range of possible values for x. Please show steps!
Answer:
[tex]6<x<8.[/tex]
Step-by-step explanation:
The sides MN, NP and MP of the triangle MNP should satisfy inequalities:
[tex]MN+NP>MP;[/tex][tex]MN+MP>NP;[/tex][tex]NP+MP>MN.[/tex]Then
[tex]\left\{\begin{array}{l}4x+9+x+5>7x-20\\4x+9+7x-20>x+5\\x+5+7x-20>4x+9\end{array}\right..[/tex]
Simplify this system:
[tex]\left\{\begin{array}{l}4x+x-7x>-9-5-20\\4x+7x-x>20-9+5\\x+7x-4x>20-5+9\end{array}\right.\Rightarrow \left\{\begin{array}{l}-2x>-16\\10x>16\\4x>24\end{array}\right.\Rightarrow \left\{\begin{array}{l}x<8\\x>1.6\\x>6\end{array}\right..[/tex]
Thus, the range of possible values for x is [tex]6<x<8.[/tex]
The question, from high school Mathematics related to geometry and algebra, asks to find the possible values for x using the triangle inequality theorem. These inequalities when solved gives the required range for x.
Explanation:The subject of this question is Mathematics, specifically pertaining to geometry and algebra. This question asks to find the range of possible values for x given that the sides of triangle MNP are MN= 4x+9, NP= x+5, MP= 7x-20.
Firstly, we utilize the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. With this theorem, we can set up three inequalities:
4x+9 + x+5 > 7x-20 4x+9 + 7x-20 > x+5 x+5 + 7x-20 > 4x+9
Solving these inequalities will provide the range of possible values for x.
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what’s the best answer
Answer:
A
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles from 180
x = 180° - (90 + 16)° = 180° - 106° = 74° → A
Answer:
74°Step-by-step explanation:
the sum of the interior angles of a triangle is 180°, you have a 90° angle and a 16° angle, take away the know angles from 180°
180 - 90 - 16 =
74°
----------------
check
90 + 16 + 74 = 180°
the answer is good
May someone help it is just some quick math problems
Question 1 Answer: 1cm= 3 feet. I say this because if there is 5 cm on the blueprint, you can do 3 feet for every cm and get 15 feet.
Question 2 Answer: 1 in=1.5 feet. 6÷4= 1.5 therefore the scale factor is 1.5
I can't quite see the other answers if you could zoom in i could answer those as well.
Whats is the mean in -10 + -10 + 6 + 5 + -1 + -1 ???? PLZ HELP
The double number line shows that Jonah needs 28 seconds to fold 2 shirts. Based on the ratio shown in the double number line, how long does Jonah need to fold 5 shirts?
Answer:
70 seconds
Step-by-step explanation:
Answer:
70 seconds
Step-by-step explanation:
Each day a company use 1/5 of a box of paper how many boxes would they have used after four days
Answer:0.8 or 4/5
Step-by-step explanation:1/5 x 4 = 4/5
And to check your work
4/5 / 4 = 1/5
Answer: 4/5
Step-by-step explanation: First you have to set up a multiplacation problem.
1/5 x 4 or 1/5 x 4/1 = 4/5
The sum of three consecutive numbers is 129 what is the smallest of the three numbers
Answer: n=42
Step-by-step explanation: Lets suppose n is a number. Since the numbers are consecutive, they would be:
n
n+1
n+2
If the sum is 129, then an equation would be
n+n+1+n+2=129
3n=126
n=42
So, the smallest number would be 42
Write an expression equivalent to the one below
5(x + 6)-2x + 9
Answer:
5x+30-2x+9
Step-by-step explanation:
first you have to do the ''distributive property'' then you will get 5x+30-2x+9
Question
Write an expression equivalent to the one below
5(x + 6)-2x + 9
Answer:
2x + 10 + 29 + xStep-by-step explanation:
5(x + 6)-2x + 9 =
5x + 30 - 2x + 9 =
3x + 39
----------------------------
2x + 10 + 29 + x =
3x + 39
Help please ASAP!!! I’ll mark brainliest
Emma buys and sells truck parts. She bought two tires for $35.00 each and later sold them for $65.00 each. She bought three rims for $75.00 each and later sold them for $136.00 each. She bought five headlight covers for $4.00 each and later sold them for $15.00 each. What is Emma's total profi?
Answer:
two tires for $35 -------------------------$70 total
three rims for $75--------------------------- $225
five headlights for $ 4.00 ----------------$20
Emma spends ($225+$70+$20) =$315
Now Emma sells them for 2 tires for $65 =130
3 rims for $136 = $408
5 headlights for $15 = $75
total money Emma makes = $613.
the profit is $613- $315= $298
the profit is $298
Why is math important “?
Answer:
Without math, how would we know how to count seconds minutes, etc.?
Math is extremely important for knowing how to do simple things like cooking, you need to know for how much time to put something in the oven or microwave or stove. Those are just the basics. There is a lot more stuff out there that math is used for.
If you want to get a job, you have to know about math. Without math, you will be unable to get a job. Every single job you can get requires math. Even working in a grocery store, you need math. Whether we like it or not, you will have to learn math or you'll end up homeless and without a job.
Plz help me answer A and B
For both questions, you essentially use the equation r = d/t
a. 34/7 = about 4.86 dollars per hour
b. 4/10 = 0.40 dollars per pound.
(14 POINTS!) PLEASE HELP ASAP!! IMAGE PROVIDED!!!
Which table shows a proportional relationship between x and y?
Answer: C
Step-by-step explanation: The equation is y = x/7. For every 7 numbers that x increases, y increases by 1.
you are paid $47.25 for working 7 hours how much are you paid per hour
Answer:
6.75
Step-by-step explanation:
1. You want to divide 47.25 by 7 because then you can see how much money you earned in one hour.
Answer: $6.75
Step-by-step explanation: In order to find per hour, you multiply 47.25 and 7 and get a answer of 6.75