Step-by-step explanation:
f(x) = —x^2 – 3x
f(10)={-10}²-3×10=100-30=70
Answer:
f(10) = 70
Step-by-step explanation:
In this question, plug in "10" to "x" and solve.
Solve:
f(10) = -(10)^2 - 3(10)
f(10) = 100 - 3(10)
f(10) = 100 - 30
f(10) = 70
Your final answer would be f(10) = 70
A racing shell, which is a boat a crew team rows, moves 20 km/h in still water. During practice, the team rows 36 km against the current and 22 km with the current. Find the speed of the river current if the team rows a total of 3 hours.
Answer:
2 km/h
Step-by-step explanation:
Let x represent the speed of the river current, t₁ be the time spent rowing against the current and t₂ be the time spent rowing with the current.
Since the speed of the still water = 20 km/h.
The speed of rowing against the current = (20 - x)
The speed of rowing with the current = (20 + x)
We know that velocity = distance / time. Hence time = distance / velocity
t₁ = 36 / (20 - x)
t₂ = 22 / (20 + x)
but t₁ + t₂ = 3 hours
Therefore:
3 = 36 / (20 - x) + 22 / (20 + x)
multiply through by 400 - x²
3(400 - x²) = 36(20 + x) + 22(20 - x)
1200 - 3x² = 720 + 36x + 440 - 22x
3x² + 14x -40 = 0
This gives x = -6.7 or x = 2
x cannot be negative therefore x = 2 km/h
The speed of the river current is 2 km/h
Answer:
2km/h is correct
Step-by-step explanation:
The other guy is absolutely correct
Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale price $77
part b : 25% discount , and the sale price $123
Answer:
A) $87.5
B) $164
Step-by-step explanation:
A) Marked Price (Original Price)
= [tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{77}{1-0.12}[/tex]
=87.5
B) Marked Price (Original Price)
=[tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{123}{1-0.25}[/tex]
=164
How many solutions does 5x + 4y=6 have
Answer:
Error....
.
.
.
.
.
At least 2 equation needed for the solution of two variables
Kona ice charges 4.50 for their large cup. Each refill on the cup cost $1.25. If Jason has 19.50, how many refills can he get before he runs out of money.
Answer:
12
Step-by-step explanation:
19.50-4.50=15
15÷1.25=12
A spinner is divided into 8 equal sections: What is the theoretical probability of spinning and landing on 2, 7, or 5?
Answer:
3/8 or
2.67 or
2 67/100
Step-by-step explanation:
2.671×100100=267100
8 divide by 3. Take that and convert to fraction or decimal either or.
HELP‼️❗️‼️❗️‼️❗️‼️
Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions
Ones that have an answer intersect.
How to tell the difference between multiplication and division word problems?
Answer:
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product. And division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication
what is a linear equation
Answer:
A linear equation is an algebraic equation of the form y=mx+b. Where m is the slope and b is the y-intercept. A linear equation most times is called a "linear equation of two variables," where y and x are the variables.
Step-by-step explanation:
WILL GIVE BRAINLIST IF U CAN SOLVES THIS PROBLEMhbigbg75585t85g7b7g5g7gghghgh75hg74h8t58gh8h54th784t75ty84t7y974t+ggnonthn4nhhhn =?
Answer:
hehe
Step-by-step explanation:
he
Rhonda and Shalene live together in an apartment, so they combine their income each week to pay for their rent and bills. Rhonda's paycheck is modeled by the function r(x)=22x+50,r(x)=22x+50, where xx is the number of hours worked. Shalene's paycheck is modeled by the function s(x)=30x−25,s(x)=30x−25, where xx is the number of hours worked. Which function represents their household income if they work the same number of hours?
Answer:
(r+s)(x)=52x+25
Step-by-step explanation:
i dont know how to explain but this is what I choose and it was right.
Is this a function?
Help me plz and i will give you the brainlest
Answer:
It is a function because the input values are different.
What is X for brainliest
Answer:
the value of x is 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Given 3 parallel lines intersected by 2 transversals then the parallel lines divide the transversals proportionally, that is
[tex]\frac{3x}{4}[/tex] = [tex]\frac{7.5}{2.5x}[/tex] ( cross- multiply )
7.5x² = 30 ( divide both sides by 7.5 )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
Find the solution of the system of the equation 4x+10y=-24
-2x+y=-24
Answer:
4x+10y=-24
-2x+y=-24
2x+11y=-48
48+2x=0
48+11y =0
48=2x
48=11y
48/2 =2x/2
48/11=11y/11
x=24
y= 48/11
2.5( 2 + 2) x (2^2 + 2^2) =
Answer:
80
Step-by-step explanation:
2.5(2+2) x (2^2+2^2)
2.5(4) x (4+4)
10 x 8
80
your answer is 80 :)
Answer:
80
Hope this helps :3
Color of socks
Number of socks
white
8
black
7
blue
2
brown
3
From the table, the ratio of white socks to brown socks is
Select two ratios equivalent to the ratio of white socks to brown socks.
32
A.13
B.15
41
C.32
12
D.40
15
Answer:
D.40:15 are equivalent to the ration of white socks to brown sock which is 8:3
what the value of 4 in 0.487
Answer:
It is its tenth value
Step-by-step explanation:
The 4 in .487 is the tenths value
EXPLAIN when |−x| = x would be true.
HINT: If you are stuck, try substituting each of x = -1, x = 0, and x = 1 into the equation. Then, interpret your results.
Answer:
It's true when x = a positive number.
Step-by-step explanation:
I don't know how to explain this, so here we go.
The definition of absolute value is the distance a number is away from 0.
In other words, all numbers are now positive or 0.
If |-x| = x, it means x would have to be positive because, well, to prove that, we have to see what it couldn't be a negative number
if x was a negative number (-1), this is what we would get
|-(-1)| = -1
|1| = -1
1 = -1
That's not right!
And this happens in any negative number you do.
Because the absolute value of something cannot be negative
I cannot stress that enough
Since it is the absolute value of -x, x has to be positive, if it isn't, then there is no solution for x.
Any number greater than or equal to zero is a possible answer for the absolute value of something, but the absolute value of something cannot be a negative number
I hope this helps, let me know if you have any questions.
HElppppppppppp
I don’t get it
Answer:
You have to use a cacolator. 5 boxes and its 9 pounds of beans in each. 5x9 is 45 pounds. Rice should be the 80 pounds hope that helps
Step-by-step explanation:
14.Find the value of <A in the following figure.
Given:
The figure of triangle ABC.
To find:
The measure of angle A.
Solution:
From the given figure, we get
[tex]\angle ABC+120^\circ=180^\circ[/tex] (Linear pair)
[tex]\angle ABC=180^\circ-120^\circ[/tex]
[tex]\angle ABC=60^\circ[/tex]
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.
[tex]\angle A+\angle ABC=105^\circ[/tex] (Exterior angle theorem)
[tex]\angle A+60^\circ=105^\circ[/tex]
[tex]\angle A=105^\circ-60^\circ[/tex]
[tex]\angle A=45^\circ[/tex]
Therefore, the measure of angle A is 45 degrees.
What is the greatest common factor (GCF) of 15 and 64?
1. (3)
2.(4)
3.(8)
4.(1)
Answer: 1 or D
Step-by-step explanation:
PLEASE HELP ME I WILL DO ANYTHING
Answer:
we can tell if line ac is straight
Step-by-step explanation:
Find the surface area of the figure .
Answer:
356.4
r =4
h =12
just put it in this formula
2 pie r ( r + h )
GOOD LUCK FOR THE FUTURE! :)
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.
Answer:
6 weeks
Step-by-step explanation:
You need to write an equation for each.
For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.
For Elena, she has 10 dollars, and gets 20 each week.
Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.
Andrew:100+5(4)=100+20+120
Elena: 10+20(4)=10+80=90
Andrew has more money in this time.
To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.
Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.
100+5w=10+20w
90+5w=20w
90=15w
90 divided by 15=6
w=6
if h (x) = |5x - 17|, find h(3)
Answer:
2
Step-by-step explanation:
5x - 17
5(3) - 17 = 15 - 17 = -2
let me know if its right or wrong
The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain
Answer:
P = 4(2x + 5)
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Step-by-step explanation:
Given that:
Perimeter of square = 4 * s
Where s = side length
If perimeter, P = 8x + 20
Then,
4s = 8x + 20
Divide both sides by 4
4s / 4 = (8x + 20) / 4
s = 2x + 5
P = 4s
P = 4(2x + 5)
Or
P = 2x + 5 in 4 places
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Dion ran 3.75 kilometers each day to prepare for a race. What was the number of kilometers that Dion ran during 28 days?
Answer:
Dion ran 105 kilometers in 28 days.
Step-by-step explanation:
3.75*28= 105
Dion ran 105 kilometers in 28 days.
Answer:
105 Kilometers
Step-by-step explanation:
3.75 times 28 equals 105.
Simplify the expression (please)
Answer:
9(v-8)
[line]
v+6
Step-by-step explanation:
Find the area of the
triangle.
Answer:
472.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Base (b) = 30 yd
height (h) = 31.5 yd
Area of the triangle
= 1/2 * b * h
= 1/2 * 30* 31.5
=472.5 yd²
Find the value of x.
What is the equation in slope-intercept form
( y = mx + b)?
A. y =13x -3/2
B.y = -3/2x + 13
Answer:
B
Step-by-step explanation:
Slope is rise/run, so the fraction would be more likely to be the correct answer.