Answer:
Chairs: 1.75 Tables: 8.50
Step-by-step explanation:
A rectangle has a width of 8 units and a
length of 10 units. What is the length of the
diagonal of this rectangle
Answer:
12.8 units
Step-by-step explanation:
Adding a diagonal makes it into 2 of the same right-angled triangles.
In right angled triangles, you can use Pythagoras' therorem which says that a^2+b^2=c^2 where a and b are the shorter sides and c is the diagonal.
This means that 8^2+10^2=diagonal^2=64+100=164
The diagonal is then the square root of 164 which equals 12.806248...
1. Find the factored form of f(x) given it has x-intercepts (-3,0) and (4,0) and f(1)= -6. 2. Find the equation for f(x) given that it has roots of 2 and -3 and f(0)=12. Please someone help
Answer:
1) f(x) = 0.5*(x + 3)*(x - 4)
2) f(x) = -2*x^2 - 2*x + 12
Step-by-step explanation:
Wen we have a quadratic function like:
f(x) = a*x^2 + b*x + c*x
And it has roots at x1 and x2, we can write the function in the factored form as:
f(x) = a*(x - x1)*(x - x2)
then:
1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6
we have:
x1 = -3
x2 = 4
then we can write f(x) as:
f(x) = a*(x - (-3))*(x - 4)
f(x) = a*(x + 3)*(x - 4)
Where a is a real number.
and now we can use the fact that f(1) = -6
then:
f(1) = a*(1 + 3)*(1 - 4) = -6
a*4*(-3) = -6
a*-12 = -6
a = -6/-12 = 1/2 = 0.5
Then the function is:
f(x) = 0.5*(x + 3)*(x - 4)
2) Now we have roots x = 2 and x = .3
Then:
x1 = 2
x2 = -3
Then this function is something like:
f(x) = a*(x - 2)*(x - (-3))
f(x) = a*(x - 2)*(x + 3)
Now we know that f(0) = 12.
then:
f(0) = a*(0 - 2)*(0 + 3) = 12
a*(-2)*3 = 12
a*(-6) = 12
a = 12/-6 = -2
f(x) = -2*(x - 2)*(x + 3)
And we do not want this one written in factored form, so we can just distribute the multiplications to et:
f(x) = -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12
f(x) = -2*x^2 - 2*x + 12
What is the area of △JKL in square units? KJL is a triangle. The angle J is 94 degree and the angle L is 26 degree. Side JK is 24 and JL is 41.
Answer:
426.07 square units
Step-by-step explanation:
Recall that for a triangle whose angles are A,B,C with corresponding sides a, b, c, the area G of the triangle may be computed as
G = 1/2 ab Sin C
or
G = 1/2 bc Sin A
or
G = 1/2 ac Sin B
Going by this, recall that the sum of angles in a triangle is 180 hence
94 + 26 + K = 180
120 + K = 180
Subtract 120 from both sides
K = 180 - 120
K = 60 degrees
Given that JK = 24 and JL = 41
G = 1/2 * 24 * 41 Sin 60
= 426.07 square units
Write the expression in fewer terms: 3•15+4•15-5•15
Answer:
The answer is 3525
Answer:
By fewer terms, I assume it means you can reduce each multiplication of 2 terms down to 1. Therefore I would say:
45+60-75.
otherwise, maybe it means give the full 1 answer of:
30.
I used PEMDAS. You simplify the multiplication terms first, then you do the addition and subtraction.
Paula opens a bank account that earns 6% interest. Her initial deposit is $400.
How much money does Paula have after 15 years?
Answer:
$461,168.60Step-by-step explanation
Turn the percentage into a decimal Take much much she has in the bankput () around 1+.6y=400(1+.6)^15 and calculate the problem and round to the nearest 100thSubtract the cube root of the product of x and 3y from the square of the sum of a and b.
Answer:
a^2 + b^2 + 2ab - (3xy)^1/3
Step-by-step explanation:
Here we want to make a subtraction
Cube root of the product of x and 3y
x * 3y = 3xy
Cube root of this;
(3xy)^1/3
The sum of a and b is (a + b)
Square of this sum;
(a + b)^2 = a^2 + 2ab + b^2
Now, subtract the cube root
we have;
a^2 + b^2 + 2ab - (3xy)^1/3
which statement are correct for evaluting this expression
What is the answer to: y=-2x-5,4x+3y=15 using substitution to solve it..??
Answer:
Step-by-step explanation:
Plug the first equation into the second
[tex]4x+3(-2x-5)=15\\4x-6x-15=15\\-2x=30\\x=-15[/tex]
y=-2(-15)-5
=30-5
=25
0 = 2x2 - 6x + 4
What are the solutions to
Answer:
x = 2, x = 1
5. There are three different colored M&Ms
red, green, and white. The probability of
selecting a red M&M is 2/5 and the probability
of selecting a green M&M is 1/4 so what is the
probability of selecting a white M&M?
The total number of red m&m out of all m&m is 2/5.
The total number of green m&m out of all m&m is 1/4.
if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m!
2/5 + 1/4 = ?
Common denominator. We will choose 20, since it is the lowest common multiple! (this means that 20/20 is the total number of all m&m, by the way. )
[tex]\frac{2(4)}{5(4)}[/tex] + [tex]\frac{1(5)}{4(5)}[/tex] = 8/20 + 5/20 = a
20/20 - a = ?
ANSWER: 7/20
The probability of selecting a white-colored M&M is 7/20.
The total number of red m&m out of all m&m is 2/5.
The total number of green m&m out of all m&m is 1/4.
if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m
2/5 + 1/4 = ?
Common denominator. We will choose 20, since it is the lowest common multiple (this means that 20/20 is the total number of all m&m, by the way. )
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
8/10 +5/20 = 8/20 + 5/20 = a
20/20 - a = ?
Therefore the probability of selecting a white M&M is 7/20.
To learn more about probability visit:
https://brainly.com/question/24756209
#SPJ2
PLS HELP I REALLY NEED IT RNNNNNN 20 POINTSSS
Which function matches the mapping shown?
A) f(x) = 2x
B) f(x) = 4x
C) f(x) = x4
D) f(x) = x + 4
Answer:
B.f(x)=4x
Step-by-step explanation:
Multiply x value by 4
Fabian harvest 10 pounds of tomatoes from his garden he needs two and 2/5 lb to make a batch of soup if he sets aside 2 and 8/10 lb of tomatoes to make spaghetti sauce how many batches of soup can Fabian make.
Factorize the following to answer the code below. Letters may be used more than once.
Q3. Find remainder if x 3 – 3x 2 + 4x – 14 is divisible by x + 2.
Q4. Factorize x 3 – x 2 – 22x + 40
Answer:
3.-42
Step-by-step explanation:
3.
x+2=0,x=-2
f(-2)=(-2)³-3(-2)²+4(-2)-14=-8-12-8-14=-42
4.
x³-x²-22x+40
put x=2
2³-2²-22(2)+40
=8-4-44+40
=48-48
=0
x=2
so x-2 is one factor.
by synthetic division.
2 | 1 -1 -22 40
| 2 2 -40
_____________
1 1 -20 | 0
x²+x-20=0
x²+5x-4x-20
=x(x+5)-4(x+5)
=(x+5)(x-4)
x³-x²-22x+40=(x+5)(x-2)(x-4)
Find sin B as a decimal and round to the nearest hundredth.
Answer:
sin B= 33.06
Step-by-step explanation:
Hope this Helped!
4.-2+ (-8)
I was wondering what’s the answer
Answer:
-10
Step-by-step explanation:
Answer:
4.−10..?
Step-by-step explanation:
Use Cymath.com for your math equations so you don't have to waste points on here!
3. John makes $7.25 per hour at work. If he works 17 hours a week, how much will he earn?
Answer:
He will earn $123.25
Step-by-step explanation:
You multiply $7.26 by 17.
what is 5/6 x 3/5 simplified ??
Answer:
1/2 or 0.5 is the correct answer of this question
The equation for line j can be written as y = x + 9. Line k includes the point (6, 10) and
is perpendicular to line j. What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.
Answer:
use formula
Step-by-step explanation:
equate them and then u will see ur answer
someone please help me
Answer:
104 I think
Step-by-step explanation:
8 x 14 divided by 2 is 56 so 6 x 8 = 48 and 48 + 56 = 104
Answer:
The volume of this triangular prism is equal to 336 [tex]feet^{3}[/tex]
Step-by-step explanation:
In order to solve this question, we need to know that the volume of a triangular prisim is equal to the area of the triangular base time the distance between the two triangular bases. And so we get...
[tex]V = (\frac{bh}{2})(d) = (\frac{(8)(14)}{2})(6) = (56)(6) = 336[/tex]
Therefore the area of this triangular prism is equal to 336 [tex]feet^{3}[/tex]
In which set of ordered pairs Is y NOT a function of X? A
{(1, 3), (2, 3), (3, 3), (4,3)}
B) {(1,3), (-2,5),(-2,7),(3,5)}
C){(7,2), (2,5), (0,4), (1,5)
D) {(-1,5), (2,6), (4,8), (9,4)}
Answer:
b
Step-by-step explanation:
for every x, there must be exactly one y for it to be a function. so, if there is more than one x per y, it's not a function.
in b, -2 (x) has two different y's which are 5 and 7, making it not a function.
At Pete's pizza, the cost of a 1 topping pizza is $17.35 and the cost of a 3 topping pizza is $21.05.
Assuming the cost of a pizza follows a linear model, write an equation that represents C, the cost of any pizza with t,toppings.
Answer:
3
Step-by-step explanation:
17.35 * 3
two step equation -9 + 2x = .-31
Answer:
Step-by-step explanation:
Add 9 to both sides
2x = -22
Divide both sides by 2
x = -11
Brandon mows his lawn once every 5 days. Thomas mows his lawn once every 3 days. If they are all mowing the lawn today, in how many days will they be mowing their lawns together again?
A. 3
B. 5
C. 8
D. 15
Answer:
D. 15
Step-by-step explanation:
Day Thomas Brandon
1 T B
2
3
4 T
5
6 B
7 T
8
9
10 T
11 B
12
13 T
14
15
16 T B
17
18
19 T
20
21 B
The next time they both mow their lawns on the same day is on day 16, which is 15 days from today.
Answer: D. 15
Pleaseee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
8y+2x+2w
Step-by-step explanation:
Answer:
I have literally no idea. Very sorry!
2(x+3)=x-4
help please
Answer:
Step-by-step explanation:
Distribute
2x+6 = x-4
Subtract 6 on both sides
2x = x-10
Subtract x on both sides
x = -10
2(x+3)=x-4 perform indicated multiplication on left side
2x+6=x-4 subtract d from both sides
x+6=-4 subtract 6 from both sides
x=-10
What are two different ways of factoring -3x – 9? Select all that apply. (2 answers)
A. -3(x + 3 )
B. 3(x+3)
C. 3(-x-3)
D. -3(x-3)
Elizabeth swims 50 feet in ten seconds. Jesse swims 110 feet in 20 seconds.
Reagan swims 160 feet in half a minute. Who swims fastest?
Answer: Jesse
Step-by-step explanation:
Elizabeth - 50f/10s
Jesse - 55f/10s
Reagan - 53.3333333/10s
Jesse is the fastest
Answer:
I think that Jessie swam the fastest
Step-by-step explanation:
Jessie swam the fastest bc Reagan only swims 160 feet in half a minute and 110 is less than 160 and 20 + 20 =40 so if Jessies swimming speed and time was multiplied by 2, she would still swim faster!
(sorry Im not the best at math but I hope you can understand my logic lol)
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?
Answer:
2√5
Step-by-step explanation:
Using the formula for calculating resultant
R = √Fx + Fy
\sum Fx = -2sin 45 + 4 cos 45
\sum Fx = 2cos45
\sum Fx = 2(1/√2)
\sum Fx = 2/√2
Similarly;
\sum Fy = 2 cos 45 + 4 sin45
\sum Fx = 2(1/√2) + 4(1/√2)
\sum Fx = 6/√2
Magnitude = √(2/√2)²+6/√2)²
Magnitude = √4/2 + 36/2
Magnitude = √2+18
Magnitude = √20
Magnitude = 2√5
Hence the magnitude of their sum is 2√5
Answer:
2√5
Step-by-step explanation:
What is 5/3+2/4= ????
Answer:
5/3 x 4/4
2/4x 3/3
20+6/12
26/12
Step-by-step explanation:
Answer:
the answer is
5/3+2/4=7/4
New York and Chicago are 4 inches apart on a map if the scale on a map is 1/2 inch equal 100 miles how many miles is it from New York to Chicago