Answer:
[tex]y = -2x[/tex]
Step-by-step explanation:
Given
x || 0 || 1 || -2
y || 0 || -2 || 4
Required
Determine the function rule
First, we have to determine the slope of the function using;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where x and y represent any two corresponding values of x and y
When x = 0; y = 0 [tex](x_1,y_1)[/tex]
When x = 1; y = -2 [tex](x_2,y_2)[/tex]
Substitute these values in [tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{0 - (-2)}{0 - 1}[/tex]
[tex]m = \frac{0 +2}{0 - 1}[/tex]
[tex]m = \frac{2}{- 1}[/tex]
[tex]m = -2[/tex]
Next, is to determine the function rule; using slope intercept form as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
Take any corresponding values of x and y as x1 and x2
When x = -2; y = 4
[tex]y - y_1 = m(x - x_1)[/tex] becomes
[tex]y - 4 = -2(x - (-2))[/tex]
[tex]y - 4 = -2(x + 2)[/tex]
Open the bracket
[tex]y - 4 = -2x -4[/tex]
Add 4 to both sides
[tex]y - 4 + 4 = -2x - 4 + 4[/tex]
[tex]y = -2x[/tex]
Hence, the function rule is [tex]y = -2x[/tex]
Answer:
y = -2 x - 1
Step-by-step explanation:
PLEASE HELP URGENTLY
Answer:
0.8/1 = 0.8
hope this helps you
To make a specific hair dye, a hair stylist uses a ratio of 118 oz of red tone, 34 oz of gray tone, and 58 oz of brown tone. If the stylist needs to make 20 oz of dye, how much of each dye color is needed?
Answer:
The answer is, the hair stylist needs 5.9 oz of the red tone, 1.7 oz of gray tone, and 2.9 oz of brown tone
Step-by-step explanation:
It says if the stylist needs to make 20 oz of dye,how much of each dye is needed? So you need to divide 20 by 118,34,and 58.
Step 1:Highlight important words that can help answer the question
Highlight:How much,each,ratio,is needed
Step 2:Collect data(numbers) from the algebraic equation
Example:118 oz, 34 oz, 58 oz, 20 oz
Step 3:Divide 20 by each ratio of dye
118/20
34/20
58/20
Step 4:Get the quotient of each dividend
118/20=5.9
34/20=1.7
58/20=2.9
Step 5:Check your work to make sure it's correct. Note:If you check your work but it's not right try again.
20 x 5.9=118
20 x 1.7=34
20 x 2.9=58
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 34 and 12
Answer:
[tex]22 < X < 46[/tex]
Step-by-step explanation:
Given
Two sides of a triangle; 34 and 12
Required
Determine the range of the third side
Represent the third side with X
To determine the range of the third side; two of the following conditions must be satisfied'
[tex]34 + X > 12[/tex]
[tex]34 + 12 > X[/tex]
[tex]12 + X > 34[/tex]
Solving 34 + X > 12
Subtract 34 from both sides
[tex]34 - 34 + X> 12 - 34[/tex]
[tex]X > -22[/tex]
Solving 34 + 12 > X
[tex]34 + 12 > X[/tex]
[tex]46 > X[/tex]
Solving 12+ X > 34
Subtract 12 from both sides
[tex]12 - 12 + X > 34 -12[/tex]
[tex]X > 22[/tex]
Write out the results
[tex]X > -22[/tex]
[tex]46 > X[/tex]
[tex]X > 22[/tex]
The first inequality will be discarded because it accommodates negative digits;
So, we're left with
[tex]46 > X[/tex] and [tex]X > 22[/tex]
This can be rewritten as
[tex]X < 46[/tex] and [tex]22 < X[/tex]
Combine both inequalities;
[tex]22 < X < 46[/tex]
Hence, the range of the third length is [tex]22 < X < 46[/tex]
anyone knows this? thanks
Answer:
B. 15:1
Step-by-step explanation:
30/2=15/1
45/3=15/1
60/4=15/1
75/5=15/1
Hope this helps ;) ❤❤❤
The correct answer is B
Which equation, when solved, results in a different value of x than the other three?
Answer:
-7/8(-8/7)x-3/4=20(-8/7)
Step-by-step explanation:
-7/8(-8/7)x-3/4=20(-8/7)
x-3/4=-21 1/7
x=-21 4/28-21/28
x= 20 3/28
The other three are actually the same problem, and they all equal -23.7
Answer:
-7/8(-8/7)x-3/4=20(-8/7)
Step-by-step explanation:
Proof Below
Got it right on test
Which of the following equations would not be a line when graphed? Explain how you can tell by just looking at the equations.
Answer:
Step-by-step explanation:
In my opinion, I beleive it's y=9 becasue the rest of the equations have x in them. bth, this is me just by looking at the equation.
helpppp me plz i need help i need help
Answer: [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
- A coin has 2 sides. Which means the probability of the coin landing on one side will be [tex]\frac{1}{2}[/tex].
- Since there are three coins, we multiply [tex]\frac{1}{2}[/tex] three times ( [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{2}[/tex]) to get the answer of [tex]\frac{1}{8}[/tex]
What additional information must be known to prove the triangles similar by SSS? options: A) ∠F ≅ ∠Q B) No additional information is needed. C) The lengths of and D) ∠F ≅ ∠D
Answer:
Option A) [tex]\angle F\\[/tex] congruent with [tex]\angle Q[/tex]
Step-by-step explanation:
There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.
The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivative. 20 POINTS
Work Shown:
s(t) = -9 - 3t
s ' (t) = -3 ... apply the derivative
The position function is linear, so the derivative is constant. The slope of any straight line is the same regardless of where you are on it, so that's why the velocity is a single fixed number. Put another way, the slope of the line is exactly the velocity (since slope = rise/run = change in distance over change in time). It doesn't matter what the value of t is, the velocity will be -3
Answer:
Step-by-step explanation:
i am doing the SAME THING
is 5.39 rational or irrational
Answer:
rational
Step-by-step explanation:
rational because it doesn't repeat
irrational: 5.399999
Rational: 5.39
:)
Which expression can you simplify by combining like terms? 12b2+4ab−3ba−6 17a2−6b2a+4ba−9 5b2−5a2+8a−b 14a2+6ab−3b−3a
Answer:
12b^2+4ab−3ba−6
Step-by-step explanation:
12b2+4ab−3ba−6
The two middle terms are like terms, the order in which you multiply does not matter ab =ba
12 b^2 +4ab -3ab -6
12 b^2 +ab -6
The correct answer is....
A.) A 12b2+4ab-3ba-6If the degree and variables of two terms are same, then they are called like terms.
Here, 4ab and -3ab are like terms because both have same variables a and b with degree 1.
By combining like terms we get
In options B, C and D, there are no like terms, So only the expression we can simplify by combining like terms.
Graph: y = |x + 2| + 1
Answer:
[tex]x = y - 3 [/tex]
[tex]x = - (y + 1) y \geqslant 1[/tex]
Hope this is correct and helpful
Step-by-step explanation:
I suppose that this is the graph
HAVE A GOOD DAY!
Plz help me x+y=5 y=3+x
Answer:
2x+2y+8
Step-by-step explanation:
just combine like terms I think.
x+y=5 y=3+x
x+x =2x
y+y =2y
5+3=8
hope it helps <33
Brett is making chocolate bars. He wants to make 35 bars from Monday to Friday. One cocoa pod makes ⅚ of bar. If he harvests the same number of cocoa pods each day, how many cocoa pods should he harvest each day to reach his goal of making 35 bars total from Monday to Friday?
Answer:
9
Step-by-step explanation:
one cocoa pod makes 5/6 bar
to make 35 bars, he needs
35 / (5/6) = 35 * 6/5 = 42 pods
Monday - Friday is 5 days
42/5 = 8.4
He needs more than 8 pods per day, so he must harvest 9 pods per day.
Answer:
8.4
Step-by-step explanation:
Rose is making necklaces. She needs 7 sapphires and 6 rubies to make one necklace. Complete the double number line diagram to show the numbers of rubies and sapphires Rose needs to make 1 , 2 3 and 4 necklaces.
Answer:
B
Step-by-step explanation:
Determine if the two triangles shown are similar. If so, write the similarity statement. options: A) ΔUVW ∼ ΔFGH B) The triangles are not similar. C) ΔWUV ∼ ΔFGH D) Impossible to determine.
Answer:
B (from down below) They are similar but your q does not match up with the picture
Step-by-step explanation:
to determine if two triangles are similar you have to make sure the ratios are the same. So 10 / 8 = 1.25, so all sides should have this ratio. 15 / 12 is also 1.25 so you know to sides are similar and also the triangles ARE SIMILAR. So The statement would be KMN is similar to KLP.
Hurry please I really need this .
Answer:
{2,3,4,5}
Step-by-step explanation:
The given set is in set-builders notation form.
IT says that x such that x belongs to integers and it is greater than or equal to 2 and less than on equal to 5.
So, The set will be written as:
=> {2,3,4,5}
Answer:
(2, 3, 4, 5)
Step-by-step explanation:
If you substitute x with all of the numbers you should get (2, 3, 4, 5)
Please help i will give brainliest for correct answers!
Answer:b
Step-by-step explanation
Find the area of the shaded region. Plz help
A bag contains 5 blue marbles, 2black marbles ,and 3 red marbles. A marine is randomly drawn from the bag The probability of not drawing a black marble is___ . The probability of drawing a red marble is____
Answer:
80%; 30%
Step-by-step explanation:
There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.
There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of not drawing a black marble is 8/10 or 4/5 or 80%.
There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.
20 – 2p>-2(p + 2) + 4p
Answer:
i just kinda need points rn
Step-by-step explanation:
Answer:
p<6
Step-by-step explanation:
Step 1: write it out: 20-2p>-2(p+2)+4p
Step 2: use distributive property: 20-2p>-2p-4+4p
Step 3: combine like terms: 20-2p>2p-4
Step 4: add 2p to both sides: 20>4p-4
Step 5: add 4 to both sides: 24>4p
Step 6: divide both sides by 4: 6>p or p<6
What is the slope of the line that passes through the points (–20, 18) and (30, 14)?
Explanation:
Use the slope formula. We subtract the y values together, and do the same for the x values as well. Subtract in the same order each time. Then you divide the two results. Reduce the fraction if possible.
m = (y2 - y1)/(x2 - x1)
m = (14 - 18)/(30 - (-20))
m = (14 - 18)/(30 + 20)
m = -4/50
m = -2/25
Answer:
[tex]-\frac{2}{25}[/tex]
Step-by-step explanation:
Slope is rise over run.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (–20, 18) and (30, 14).
[tex]m=\frac{14-18}{30+20}=\frac{-4}{50}=-\frac{4}{50}=-\frac{4/2}{5/2}=\boxed{-\frac{2}{25}}[/tex]
The slope is -2/25.
Brainilest Appreciated.
Please help with step by step. Thank you
Answer:
SU = 2PX = 6 2/3Step-by-step explanation:
The product of distances to the circle along a secant is the same for all secants intersecting a given point.
a. Secants SW and QT intersect at U. Thus ...
(UT)(UQ) = (US)(UW)
(1.5)(4) = (SU)(3)
SU = (4)(1.5)/3
SU = 2
__
b. Secants PT and PX intersect at P. Thus ...
(PQ)(PT) = (PR)(PX)
PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3
PX = 6 2/3
Find the area of the following shape.
Answer:8
Step-by-step explanation:
Answer:
How do you figure 8?
A=1/2(L*W) triangle but what is the work?
Multiply and simplify
(x +1)3 x (x+1)4
Answer:
12x^2+24x+12
Step-by-step explanation:
(3x+3) * (4x+4)
12x^2+24x+12
Answer:
( x+1)^7
Step-by-step explanation:
(x +1)^3 * (x+1)^4
Replace x+1 with m
m^3 * m^4
The bases are the same so we can add the exponents
m^ (3+4)
m^7
Replace m with x+1
( x+1)^7
Given: f(x) = x2, g(x) = x + 6, h(x) = 7
Find f(g[h(x)]).
55
169
26
Answer:
169
Step-by-step explanation:
f(x) = x^2, g(x) = x + 6, h(x) = 7
f(g[h(x)])
Replace h(x) with 7
f(g(7))
g(7) = 7+6 = 13
Replace g(7) with 13
f(13) = 13^2 = 169
Answer:
169
Step-by-step explanation:
We are asked to find:
f(g[h(x)])
We know that f(x) = x^2, g(x) = x + 6, and h(x) = 7
Therefore, we can begin by substituting 7 for h(x)
f(g[h(x)]), h(x)=7
f(g[7])
Now, we must find g(7). We know that g(x) is x+6
g(x)=x+6
We want to find g(7). Plug 7 in for each x.
g(7)=7+6
Add 7 and 6
g(7)=13
Substitute 13 in for g(7)
f(g[7])
f(13)
Finally, find f(13). We know that f(x)=x^2
f(x)=x^2
We want to find f(13). Plug 13 in for each x.
f(13)=13^2
13^2= 13*13= 169
f(13)=169
169
Therefore, f(g[h(x)]) is 169
NEED ANWSER ASAP! WILL GIVE BRAINLIEST! An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Answer:
any way since the sides are the same leangth
Step-by-step explanation:
Right isosceles triangles are constructed on the sides of a 3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is [tex]\frac{X+Y}{Z}[/tex]
Answer:
1
Step-by-step explanation:
because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5
the area of X is 4.5
the area of y is 8
(8+4.5)/(12.5) = 1
A lot consisting of 50 bulbs is inspected by taking at random 10 bulbs and testing them. If the number of defective bulbs is at most 1, the lot is accepted; otherwise it is rejected. If there are 10 defective bulbs in the lot, what is the probability of accepting the lot?
Answer:
0.3487
Step-by-step explanation:
The probability of accepting the lot If there are 10 defective bulbs in the lot is; 0.3487
This involves binomial probability distribution which is given by the formula;P(X = r) = ⁿ[tex]C_{r}[/tex] × [tex]p^{r}[/tex] × [tex]q^{1 - r}[/tex]
We are given;Number of bulbs taken at random = 10
We are told that if the number of defective bulbs is at most 1, then the lot is accepted.
This means that probability of success is; p = 1/10 = 0.1
q = 1 - p
q = 1 - 0.1
q = 0.9
If there are 10 defective bulbs, then the probability of accepting the lot is;P(X = 0) = ¹⁰[tex]C_{0}[/tex] × [tex]0.1^{0}[/tex] × [tex]0.9^{10 - 0}[/tex]
P(X = 0) = 0.3487
Read more at; https://brainly.com/question/24239758
HELP PLEASE I REALLY NEED THE HELP ON THIS.
for questions 8 and 9, you just need to use a ruler to fine how many inches, centimeters, or millimeters each line segment is. (make sure to properly read the question to see if they’re asking for the measurement in in, cm, or mm.) i won’t be able to give you these measurements because the picture became smaller when you uploaded it, but it shouldn’t be that hard for you!
for question 10, use a ruler to draw and label your own line segment.
on 10a, draw a line segment that is 3 1/4 inches long, then label one end of the segment ‘H’ and one end ‘J’
for 10b, draw a line segment that is 5 7/16 inches long, then label one end of the segment ‘M’ and the other ‘N’.