Answer:
We conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:
f(x) = 4/5x - 5Step-by-step explanation:
Given
f(5) = -1f(0) = -5f(5) = -1 means at x = 5, y = -1
Hence, the point (5, -1) lies on the line function.
f(0) = -5 means at x = 0, y = -5
Hence, the point (0, -5) lies on the line function.
Thus, the two points on the linear line function graph are:
(5, -1)(0, -5)Finding the slope between the points (5, -1) and (0, -5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]m=\frac{-5-\left(-1\right)}{0-5}[/tex]
[tex]m=\frac{4}{5}[/tex]
The slope-intercept form of the linear line function
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
We have already determined the slope which is: m = 4/5
We know the y-intercept can be determined by setting x = 0 and solving for y.
Thus, the point (0, -5) represents the y-intercept b = -5.
Now, substituting m = 4/5 and b = -5 in the slope-intercept form
[tex]y = mx+b[/tex]
y = 4/5x + (-5)
y = 4/5x - 5
Therefore, we conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:
f(x) = 4/5x - 5Can someone plz help me with the red #6 the graph is on the screen plz anyone fast ☹️
Can you guys help meh pls
Help please I’m almost done
Answer:
33 and -39
Step-by-step explanation:
Angle on a straight line = 180
|5x + 15| = 180 and |5x + 15| = -180
5x + 15 = 180
Subtract 15 from both sides;
5x = 165
Divide both sides by 5;
x = 33
5x + 15 = -180
Subtract 15 from both sides;
5x = -195
Divide both sides by 5;
x = -39
120 kg in the ratio 3:2
Answer:
72:48
Step-by-step explanation:
Is (-1,2) a solution to the following linear equation:
2x + y = 2
Answer:
No
Step-by-step explanation:
plug in the variables into the equation
(x,y)
(-1,2)
2(-1)+2=2
2*-1=-2
-2+2=0
2 does not equal 0 so therefore no, it is not a solution
Explain and Show the equation of line parallel to y=-1x+2 going through the point (6, 3)
Answer:
y=-1x+9
Step-by-step explanation:
plug point in to y-y1=m(x-x1)
y-3=-1(x-6)
y-3=-1x+6
y=-1x+9
I need help if you can that would be great thank you
Answer:
Simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]
Option D is correct answer.
Step-by-step explanation:
We need to simply the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base.
Solving:
[tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex]
We can write it as:
[tex]\frac{(3\:.\:2)^5}{3^2.2^3}[/tex]
Now using exponent rule: [tex](a\:.\:b)^m=a^m\:.\:b^n[/tex]
[tex]\frac{3^5\:.\:2^5}{3^2.2^3}[/tex]
Now using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] the bases should be same
[tex]3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2[/tex]
So, simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]
Option D is correct answer.
Two athletes Or training over a two week period to increase the number of push-ups each can do consecutively . Athlete a can do 16 push-ups to start and increase his total by each to each day. Athlete b can do 12 push-ups to start an increase he's so tall by three each day. Compare the initial values for each what does the initial value mean in the situation
Answer:
Initial values of Athlete a and b is 16 and 12 respectively. That means, Athlete a start with more push-ups as compared to athlete b
Step-by-step explanation:
Athlete a perform 16 push-ups to start and increase 1 push-up each day for 14 days
⇒ number of push-ups at the end of x days is for Athlete A is
n = number of push-ups for athlete A= 16 + x
Athlete b perform 12 push-ups to start and increase 3 push-up each day for 14 days
⇒ number of push-ups at the end of x days is for Athlete B is
m = number of push-ups for athlete B = 12 + 3x
where x is the number of days
thus, total number of athletes at the end of 14 day is
n = 16+14 = 30 push-ups for athlete A and m = 12 + 42 = 54 push-ups for athlete B at the end of 14th day
Now similarly for the initial day x = 0
thus, total number of athletes at the starting of 1st day is
n = 16+0 = 16 push-ups for athlete A and m = 12+0 =12 push-ups for athlete B at the starting of 1st day.
That means, Athlete a start with more push-ups as compared to athlete b, But at the end of 14th day Athlete b do more push-ups then athlete a
Answer: The initial value for Athlete A is greater.
Pay attention for the keyword initial value.
I got no explanation D:
I need help with this math problem
what is 15% of $58?
Answer:
15% of 58
15÷100×58
may this help u
Answer: $ 8.70
Step-by-step explanation: 0.15 x 58 = 8.7
I am giving all my final points for this one please answer correctly! and thank you
Answer:
D.
Step-by-step explanation:
You can see that the first value(initial) of y is 20 and the difference of the preceding values is 10 but it is decreasing thus -10
Help I will mark brainliestttt
Answer:
11 or more
Step-by-step explanation:
55-40=15
160/15=10.666
11 or more
A piece of stpne on Planet Y weighs seven pounds, but on Earth it weighs only 4 pounds.
What would a 130-pound Earthling weigh on Planet Y?
Answer:
227.50
Step-by-step explanation:
Billy has 5 1/4 yards of wire if he uses for is 4 7/8 yards to make a fence how much would he have left
A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. How far did the car travel in 5 minutes?
Answer:
3.75 as a decimal
Step-by-step explanation:
TRUE OR FALSE
becomes zero for x
Answer:
True
Step-by-step explanation:
Geometry TEST #5 Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? x a. SAS only b. AAS only c. Either SAS or AAS d. neither
Answer
ANGLE SIDE SIDE
Step-by-step explanation: Because you have an angle side side hope this helps
Pls help I need this soon
1/5 - 1/6
Plz ans. Fasttt
Answer: 1/30
5 and 6 both have a common factor of 30
30 will be our ned denominator
1/5 needs to be multipliued by 6
(since 5 times 6 is 30)
and
1/6 needs top be multiplied by 5
(since 6 times 5 is 30)
then you get 6/30 - 5/30 and that is just 1/30
The following is a recipe for Gazpacho, a cold vegetable soup. Write how much of each item in the
recipe you would need to serve 10 people, assuming each would eat one serving.
Gazpacho
Yield: 4 servings
1 ½ lbs of fresh tomatoes
1 c peeled, chopped cucumber
½ c chopped red bell pepper
½ c chopped red onion
1 small jalapeno
1 garlic clove
¼ c olive oil
1 lime, juiced
2 tsp balsamic vinegar
2 tsp Worcestershire sauce
½ tsp cumin
1 tsp salt
¼ tsp black pepper
2 Tsp basil
9514 1404 393
Answer:
replace recipe quantities:
1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5
Step-by-step explanation:
The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.
The numbers in the recipe (ignoring units or ingredients) are ...
1/4, 1/2, 1, 1 1/2, 2
Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.
1/4 × 5/2 = 5/8
1/2 × 5/2 = 5/4 = 1 1/4
1 × 5/2 = 5/2 = 2 1/2
(1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4
2 × 5/2 = 5
Then, to make the larger recipe, rewrite it with the quantities replaced as follows:
old value ⇒ new value
1/4 ⇒ 5/8
1/2 ⇒ 1 1/4
1 ⇒ 2 1/2
1 1/2 ⇒ 3 3/4
2 ⇒ 5
__
For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes
_____
Additional comment
If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)
Sam builds 360 toys in 8 hour. At that rate,how many toys would he build in 4 minutes
Answer:
He can build 3 toys in 4 minutes.
Step-by-step explanation:
Divide 360 by 8 since you are dividing it first to get the number of toys he can build in an hour. As a result, he can build 45 toys in an hour. Divide that number by 15 since 4 times that number equals an hour. You should get 3 toys as your final result.
For easier explanation, multiply 8 and 15 together to get 120 for better understanding. Divide that number from 360 to get the same answer.
how will rational numbers help in future
Answer:
They are used to share something among friends , Like if there are four friends and they want to divide a cake equally among themselves , then the quantity of cake that each friend will get will be one-fourth of the cake , That is a rational number 1/4.
Step-by-step explanation:
short answer it won't trust me
Ill give brainliest
Describe a situation where you might need to know the percent that something changed.
Answer:
Change: subtract old value from new value. Example: You had 5 books, but now have 7. The change is: 7−5 = 2. Percentage Change is all about comparing old to new values.
Step-by-step explanation:
hope this helps :)
Answer:
When finding the climate of an area
Step-by-step explanation:
Ex. Rainfall increased 30% since 2019 in florida (not true just an example)
Please answer!! I added a screenshot
Answer:
S + 2.5S + (2.5S - 3.3)
Step-by-step explanation:
To get the perimeter of ANY shape, simply add up all the sides.
What is the measure of /GMH
A 40°
B 45°
C 50°
D 90°
Answer: A
Step-by-step explanation: /GMK is a right angle and /HMK is 50 degrees so 90-50=40
Before getting to school, Jason has a few errands to run. Jason has to walk 10 blocks to the theater, and 12 blocks to the gallery, before walking the final 6 blocks to arrive at school. If Jason has already walked 7 blocks, how many more blocks must he walk before arriving at school?
Answer:
11
Step-by-step explanation:
help please i hate math
Which three lengths could be of the sides of a triangle?
Answer:
B
Step-by-step explanation:
For the function of f ( x ) = − 2 x^ 2 + x + 1, find f (3).
Step-by-step explanation:
f(3)= -2×3²+3+1
= -18+3+1
= -14
hope it helps.
Answer: = ± 2 √ 2
Step-by-step explanation:
ﾟ+*:ꔫ:*
A. (2, 1)
B. (1, -2)
C. (1, 2)
D. (-1, 2)
♡━━━━━━━━━♡
︎thank you! ♡´･ᴗ･`♡
Answer:2,1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
?
Solve for X
9x + 8 = -1
Answer:
x = -1
Step-by-step explanation:
9x + 8 = -1
Subtract 8 from each side
9x + 8-8 = -1-8
9x = -9
Divide each side by 9
9x/9 = -9/9
x = -1