If f(x) is a linear function, f(- 3) = - 3 , and f(5) = 4 , find an equation for f(x)
[tex]f(x)=mx+b[/tex]
[tex]f(-3)=-3[/tex] meaning that (-3,-3)
[tex]f(5)=4[/tex] meaning that (5,4)
(1 ) Find slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{4+3}{5+3}\\m=\frac{7}{8}[/tex]
The slope is 7/8
(2) Substitute any ordered pairs in the equation.
I'll use (5,4)
[tex]f(x) = \frac{7}{8}x+b\\4=\frac{7}{8}(5)+b\\4=\frac{35}{8}+b\\32=35+8b\\32-35=8b\\-3=8b\\-\frac{3}{8}=b\\b=-\frac{3}{8}[/tex]
Therefore the equation for f(x) is [tex]f(x)=\frac{7}{8}x-\frac{3}{8}[/tex]
2. x2 – 22x + 17 = 0
Answer:
idc
Step-by-step explanation:
looooooool
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.
Answer:
He estimated there were about $10.40 worth of groceries
Step-by-step explanation:
You want to round the prices up to the nearest tenth and then add them all.
3.50
3.50
1.15
1.15
1.15
___
10.45
So 10.45 is closest to 10.40 and you have to remeber that this is just an estimate so it will be less because we rounded the answer up.
Hope this helps
Answer:
$9 its be heres my work
Step-by-step explanation:
Gallon of milk: $3.49
3lbs oranges: $1.14(3) = $3.42
Box of cereal: $3.46
Front end estimation is taking the number in front and the rest of the numbers coming after it will be zeroes.
Using front end estimation:
$3.49 => $3.00
$3.42 => $3.00
$3.46 => $3.00
Add all these up; Shen estimated the total cost of the groceries would be $9.00.
For what value of x do the expressions 5(2x-4) and 6x-8 have the same value
Answer:
3
Step-by-step explanation:
10x-20=6x-8
4x=12
x=3
Evaluate (11 + 4) = 3 * ✓ 64
Answer:
All of them are ø
Step-by-step explanation:
There are two answers to this problem:
(11 + 4) = 3 * 8
and
(11 + 4) = 3 * -8
Lets do (11 + 4) = 3 * 8 first: 15=24
So this first one is ø
Lets do (11 + 4) = 3 * -8: 15=-24
Which also ø
What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3
Answer:
a7 equals 35 +3=38
Step-by-step explanation:
5times7 is 35
u sub 7 for n
It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?
Probability of students having their own vehicle
= 2/10
= 1/5
Simplify. Round to the nearest tenth. 5.4% of 65 *
Answer:
3.5
Step-by-step explanation:
1. 5.4% X 65
2. 5.4/100 x 65
3. 0.054 x 65
Answer =3.5
3.5 is approximately 5.4% of 65 rounding to the nearest tenth
To calculate 5.4 % of 65 and simplify the result to the nearest tenth, we can multiply 65 by 0.054.
65 * 0.054 = 3.51
Rounding this value to the nearest tenth, we find that 5.4 % of 65 is approximately 3.5.
Therefore, after rounding to the nearest tenth, 5.4 % of 65 simplifies to 3.5. This means that 3.5 is approximately 5.4 % of 65 rounding to the nearest tenth. It represents the amount you would get if you took 5.4 % of 65, rounded to one decimal place.
Learn more about percentage here
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Agrocery store sells 4 avocados for $6.00. What is the unit cost of each avocado?
A) $2.40
B) $0.10
C $1.50
D
$0.60
-4(3/2x - 1/2) = -15
Answer:
2.8333333333333333333
Step-by-step explanation:
I have high iq
-4(3/2x - 1/2) = -15
Distribute -4
-6x + 2 = -15
Subtract 2 from both sides
-6x = -17
Divide 6 from both sides
x = 2.83333333333333333
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E
Answer:
let me get the answer
Step-by-step explanation:
10 Lakh More Than 93,23,654
Answer:
10,323,654
Step-by-step explanation:
using 5,7,2 to equal 6
Answer:
here my answer
Step-by-step explanation:
5+1=6
7-1=6
3x2=6
hope it helps :)
whats the area of a circle if the diameter 6
Answer:
28.27
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
6x3.14 = 18.84. multiply by pi
3x + 17 < 47
43<8x-9 can you answer this ASAP please !!!
Answer:
3x + 17 < 47 solving for x = x<10
43<8x-9 solving for x = x = 13/2
. "A number is less than or equal to -11.".
Answer:
x <(with a line underneath the carrot) -11
Step-by-step explanation:
Hope this helps! Could not find the symbol.
The inequality for x which is less than or equal to -11 is written as x ≤ -11 or x + 11 ≤ 0.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Let the required number is x.
In the given question,
Number x is less than or equal to -11.
The inequality for x which is less than or equal to -11 can be written as,
x ≤ -11
The inequality can be further simplified as,
⇒x + 11 ≤ 0
The inequality for x is x + 11 ≤ 0.
To know more about Inequality on:
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System Applications-idk what that means but the question is that and there are no answer choices. There are 22 students in a classroom. There are 12 more girls than boys. Find the number of boys
and girls in the classroom.
I’ll mark you as the brainliest for the correct answer thanks
Answer:
random
Step-by-step explanation:
Identify if the table represents a linear function.If so write the equation it.*
The product of 9 and Jose's savings is 108. Use the variable j to represent Jose's savings. How do I translate the sentence into an equation.
Equation: 9× J= 108
Answer :J=12
If x = 0 and y < 0, where is the point (x, y) located?
Answer:
origin.......................
Answer:on the x axis
Step-by-step explanation:
jose trabaja 4 3/4 horas el lunes, 3 1/2 horas el martes, 6 3/4 horas el miercoles, 4 1/2 horas el jueves y 6 horas viernes, y 5 horas el sabado en promedio cuantas horas diarias trabaja
Answer:
5 horas
Step-by-step explanation:
Answer:
Step-by-step explanation:
( [tex]4\frac{3}{4}[/tex] + [tex]3\frac{1}{2}[/tex] + [tex]6\frac{3}{4}[/tex] + [tex]4\frac{1}{2}[/tex] + 6 + 5 ) ÷ 6 =
( 4 + 3 + 6 + 4 + 6 + 5 + [tex]\frac{6}{4}[/tex] + 1 ) ÷ 6 = 30.5 ÷ 6 = [tex]\frac{61}{2}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{61}{12}[/tex] = [tex]5\frac{1}{12}[/tex] horas al dia
Evaluate the function at the given value.
If f(x) = -4x + 3 find f(-10)
Answer:
f(-10) = 43
Step-by-step explanation:
Plug in -10 into this equation to get f(x). -4*-10=40+3=43
Answer: 43
a recipe that serves 8 people requires 4 1/2 cups of flour.
Suppose you need to make enough to serve 24 people. How many cups of flor do you need?
The cups needed to feed 24 people is 13[tex]\frac{1}{2}[/tex] cups.
Ratio expresses the relationship between two values. It is used to express the number of times that one value is contained within other value(s).
The cups of flour needed to feed one person = [tex]4\frac{1}{2}[/tex] ÷ 8
= [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{9}{16}[/tex]
Number of cups needed to feed 24 people = number of cups needed to feed 24 people x 24.
[tex]\frac{9}{16}[/tex] x 24 = [tex]\frac{27}{2}[/tex] = 13[tex]\frac{1}{2}[/tex] cups
To learn more about ratios, please check: brainly.com/question/17995727
evaluate (2^-5)(2^2)(4^3) / 2
Answer: 4
Step-by-step explanation:
5y+1=31 what does y equal?
Answer:
y=6
Step-by-step explanation:
A survey found that 70% of students do their homework before dinner out the 150 students how many would you expect to do homework before dinner
Answer: 105 students
explanation: set up a proportion. 70/100 =x/150. cross multiply. (70x150)/100=105
Margaret's receipt from the grocery store is shown below. Robert bought 12 ounces of bananas from the same store as Margaret. How much did Robert pay?
Answer: 3.20
Step-by-step explanation:
Answer:
3.20 is what Robert payed
For f(x) = [tex]\sqrt{x+5} -4[/tex]and g(x) = [tex]\sqrt{x+5} +4[/tex], find an equation of the given function.
(f+g)(x)=?
WILL GIVE BRAINLIEST!
Answer:
[tex]\\ (f+g)(x)=f(x)+g(x)=\sqrt{x+5}-4+\sqrt{x+5}+4=2\sqrt{x+5}[/tex]
Please Help ASAP IT'S DUE TODAY!!
140 ÷ 20 = 7
7 × 15 = 105
24
6 1/2
\dfrac12\left(6e - 3f - \dfrac34\right) = 2 1 (6e−3f− 4 3 )=start fraction, 1, divided by, 2, end fraction, left parenthesis, 6, e, minus, 3, f, minus, start fraction, 3, divided by, 4, end fraction, right parenthesis, equals
Answer:
could u write the equation instead so i can answer
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
khan
