Answer:
x (x + 4) (x - 4)
\small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle. \small m\angle L= degrees \small m\angle M= degrees
Answer:
[tex]L = 111[/tex]
[tex]M = 69[/tex]
Step-by-step explanation:
Given
[tex]L = 12x + 45[/tex]
[tex]M = 18x - 30[/tex]
Required
Determine L and M
Since both angles are supplementary;
[tex]L + M = 180[/tex]
Substitute values for L and M
[tex]12x + 45 + 18x - 30 = 180[/tex]
Collect Like Terms
[tex]12x + 18x= 180 - 45 + 30[/tex]
[tex]30x= 165[/tex]
Divide both sides by 30
[tex]x = \frac{165}{30}[/tex]
[tex]x = 5.5[/tex]
Substitute 5.5 for x in [tex]L = 12x + 45[/tex] and [tex]M = 18x - 30[/tex]
[tex]L = 12 * 5.5 + 45[/tex]
[tex]L = 111[/tex]
[tex]M = 18 * 5.5 - 30[/tex]
[tex]M = 69[/tex]
A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people. Function B gives the amount of money that the bus operator earns when n people ride the bus.
The minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.
A small bus charges $3.50 per person for a ride from the train station to a concert.
The maximum capacity of the bus to carry the passengers is 10.
The minimum capacity of the bus to carry the passengers is 3.
Function B gives the amount of money that the bus operator earns when n people ride the bus.
Thus the value of 'n' is restricted between 3 to 10.
Therefore,
In general, the amount of money that the operator earns when n people ride the bus is given by the expression.
[tex]\rm{Amount}= \$3.5n[/tex]
The above amount can have minimum and maximum values.
Thus, the minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.
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What is the value of the expression when s = 2 and t = -1.5?
–35 – $3] + 3t
o
-4.5
4.5
-13.5
13.5
Help please??!
Answer:
-13.5
Step-by-step explanation:
trust me
What is the answer ?Pls help!
HELP ASAP:Which table represents a function?
The answer is the first one
an input cant have different outputs
Find the mean:
9, 9, 3, 2, 8, 7, 4
Answer:
Step-by-step explanation:
mean aka average: (9+9+3+2+8+7+4)/7 = 6
Answer:
6
Step-by-step explanation:
Mean = Sum of the numbers/total no of numbers
There are 7 numbers
[tex]\frac{9+ 9+ 3+ 2+8+ 7+ 4}{7} \\\\= \frac{42}{7} \\\\Divide\\\\= 6[/tex]
(5x² - 8x + 1) + (2x2 - 4x - 11)
Answer:
7x^2 −12x−10
Step-by-step explanation:
((5x2 - 8x) + 1) + (2x2 - 4x - 11)
Factoring 7x2-12x-10
The first term is, 7x2 its coefficient is 7 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 7 • -10 = -70
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is -12 .
-70 + 1 = -69
-35 + 2 = -33
-14 + 5 = -9
-10 + 7 = -3
-7 + 10 = 3
-5 + 14 = 9
-2 + 35 = 33
-1 + 70 = 69
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
What is 20+ 1,278 equal
Answer:
1,298
Step-by-step explanation:
Step 1:
1,278 + 20
Answer:
1,298
Hope This Helps :)
Answer:
1298
Step-by-step explanation:
20+1278=1298
Can someone solve these please using the formula AB | a - b |
And can you show work
Answer: 1) AC = 13
The formua does not actually apply to all of the problems.
Step-by-step explanation:
1) The absolute value of -8 is added to the absolute value of 5. 8+5=13
2) Subtract the length of the EF from EG to get the length of FG 21 -6 = 15
3) Take what's given and create an equation to solve. 4x + 15 +39 =110. 4x = 110 - (15+39).
4x =110-54. 4x =56. x=56/4. x=14
4) Create another equation. You have two segments that add up to the length of EG, given =23
EF+FG=EG
(2x-12)+(3x-15)=23
5x - 27 = 23
5x= 23+27 5x =50. x = 10
Substitute 10 for x
EF=2(10) -12 EF=8
FG=3(10)-15. FG=15
EF+FG =EG.
8 + 15 = 23
5) 2/5 of 25 is 10 So EF is 10. Subtract from 25 to get FG
FG = 15
I hope this helps you.
A construction crew is lengthening a road that originally measured 41 miles. The crew is adding one mile to the road each day. The length, L (in miles), after d
days of construction is given by the following.
L = 41+d
What is the length of the road after 28 days?
Answer:
69 miles
Step-by-step explanation:
Put the number in place of the variable representing it and do the arithmetic.
L = 41 +28 = 69
After 28 days, the length of the road is 69 miles.
How do you evaluate functions in a real-world context?
Answer:
To evaluate a function is to: Replace its variable with a given number or expression.
Step-by-step explanation:
What is the domain of the function y=3sqt?
Answer:
y=3sqrt(x)
x≥0
Step-by-step explanation:
The domain of a function refers to all values of x for which y is defined.
Since this is a square root function, we need to keep the expression under the square root sign to be greater than or equal to zero.
As soon as the expression under the root sign is less than zero, the function will not be defined.
This means that the square root of a negative number will not be a real number.
Is x – 3 a factor of 5x5 – 3x4 + 2x2 – 9x + 12 ?
Answer:
No
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
If (x - 3) is a factor of the polynomial then f(3) = 0
Given
f(x) = 5[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 2x² - 9x + 12 , then
f(3) = 5[tex](3)^{5}[/tex] - 3[tex](3)^{4}[/tex] + 2(3)² - 9(3) + 12
= 5(243) - 3(81) + 2(9) - 27 + 12
= 1215 - 243 + 18 - 27 + 12 = 975
Since f(3) ≠ 0 then (x - 3) is not a factor of the polynomial
find the percent decrease from 40 to 24
When f(x) =-3 what is x
Answer:
I'm pretty sure the answer is 1.
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
If u doing edge the string numbers in the table are -4,-66
-3,-29
-2,-10
-1,-3 and so on hope this helps :)
need help with this
please
Answer:
[tex]x^{\frac{2}{3} }[/tex]
Step-by-step explanation:
Exponent Rules: [tex](b^m)^n = b^{mn}[/tex]
Exponent Rules: [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
Step 1: Write expression
[tex]\frac{\sqrt[4]{x^3} }{x^{\frac{1}{12} }}[/tex]
Step 2: Rewrite radical
[tex]\frac{{(x^3)^{\frac{1}{4} }} }{x^{\frac{1}{12} }}[/tex]
Step 3: Multiply powers (numerator)
[tex]\frac{{x^{\frac{3}{4} }} }{x^{\frac{1}{12} }}[/tex]
Step 4: Subtract powers
[tex]x^{\frac{2}{3} }[/tex]
Julio says, "if you subtract 14 from my number and multiply the difference by -2, the result is -42." what is julio's number?
Answer:
let the number is x
-2(x-14) = -42
-2x + 28 =-42
-2x = -70
x= 35
Step-by-step explanation:
What is an algebraic expression for "2 less than the product of 3 and a number x"? *
Answer:
3x-2
Step-by-step explanation:
The algebraic expression is 3x -2.
What is an algebraic expression?Algebraic expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine an algebraic expression for "2 less than the product of 3 and a number x"
Here, the product of 3 and a number x
⇒ 3x
Therefore, 2 is less than the product of 3, and a number x as
⇒ 3x -2
Hence, the algebraic expression is 3x -2.
Learn more about an algebraic expression here:
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Solve for x in simplest form. 4=4/3 (x−6)
Answer:
Solve for x in simplest form. 4=4/3 (x−6)
x=9
Step-by-step explanation:
Answer: x = 9
Step-by-step explanation: first you distribute the 4/3 to (x-6) by multiply 4/3 to x and to -6. Which will be 4=4/3x-24/3, then you simplify 24/3 which equal s 4=4/3x-8. Cancel the -8 by adding each side by 8, it'll be 4+8=4/3x-8+8. Which equals 12=4/3x. Then you divide each side by 4/3 to cancel the 4/3. 12/(4/3)=x & to divide a fraction you just need to cross multiply the number so it will be (12/1 x 3/4) = 36/4= 9 so x will be = 9.
Which pair of segments are corresponding parts of the congruent quadrilaterals that are pictured below?
A. AB and WX
B. AB and XY
C. AB and YZ
D. AB and ZW
Hurry please!!!
Answer:
AB and ZW
Step-by-step explanation:
if you see the marks on the edges of the Square, you see they have different number of marks. if 2 segments are congruent, they will have the same number of marks on the sides. AB and WX have 3 marks on their side
Answer:
The answer is simply d i did the unit review on edge plz mark me brainliest
Step-by-step explanation:
The perimeter of a parallelogram is 68 me ters. The width of the parallelogram is 6 meters less than its length. Find the length and the width of the parallelogram. x meters (x-6) meters 6x+6(x-6) 68 The length of the parallelogram is The width of the parallelogram is NG Che Answer Noy Ouestion
Answer:
62 is the width
Solve.
g/6 + 14 = 29
g =
Answer: g = 90
Step-by-step explanation:
Multiply 6 on both sides to remove the fraction from the equation. g + 84 = 174.Now, subtract 84 on both sides. g = 90.Some different ways to make 7,502
Find the value of x!!!!!!
Answer:
Sum of 3 angles in a triangle=180
x+55+72= 180
x+ 127=180
x= 180-127
x= 53
Answer:
63 degrees
Step-by-step explanation:
All angles of a triangle always add up to 180 degrees.
So you take both angles and add them together-55+72=117
You then would take 180 and subtract the total- 180-117=63
And that would be your final answer
Susan can run 3.5 miles in 40 minutes. About how many whole minutes would it take her to run 8 miles at this same rate? Set up and solve a
proportion. Show all work and answer the situation.
Answer:
40min=3.5miles
40/3.5=1mile
40/3.5×8=8miles
91.428 min
1hr and 31 min
Ryan has a collection of 216 baseball cards. He lets his brother have 1/3 of his collection and takes 27 cards to school to give his friends. How many
baseball cards remain in Ryan's collection?
Answer:
117
Step-by-step explanation:
216/3=72
216-72=144
144-26=117
Answer: 117
Step-by-step explanation:
First you do 216 divide by 3 to know how many cards he gave his brother. So 216/3 is equal to 72. Then you add 72 to 27 to know the total amount of cards he loses, which is 99. Now you do 216-99 to get 117.
117 baseball cards remain in Ryan's collection.
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.
Answer:
m∠CEA = 90°
∠CEF is a straight angle.
∠AEF is a right angle
Step-by-step explanation:
Took the test
Choose the correct equation to represent the number line model.
Answer:
-5 + -4 = -9
Step-by-step explanation:
-5 + -4 = -9
Start at 0.
You will need to move 5 spaces to the left (Negative numbers move to the left while positives go right).
And -4. Move 4 spaces left again. There you land at -9.
The plus sign is just to combine -5 and -4 together.
Thus the answer is:
-5 + -4 is -9.
Here’s why the other equations aren’t correct.
The first equation says “5 + 4 = 9”.
To represent this, you would move 5 spaces to the right (because the number is posititve.)
Then combine 4. Which you move 4 spaces to the right again. This leaves you at 9 instead of -9.
The second equation says “-5 + -9 = -14”.
To represent this, you would move 5 spaces to the left.
Then move 9 spaces to the left again. Which leaves you at -14.
Your final destination should be -9. Not anywhere else.
Find the zeros of f(x) = -x + 9x – 18.
Answer:
x=2.25
x= 9/4 x=2 1/4 x= (3/2)^2 these are all possible answers in different forms.
Step-by-step explanation:
Which table in this photo shows a proportional relationship between X and Y?