Answer:
x = 0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
7+3x-12x=3x+1
-3x =-3x cross out 3x
[tex]7-12x=1[/tex] subtract 7 on both sides
-7 =-7
[tex]-12x=-6[/tex] divide -12 into both sides
[tex]\frac{-12x}{-12} = \frac{-6}{-12}[/tex] cross out -12 and divide -6/-12 = 0.5
To check
7+3(0.5)=8.5 - 12(0.5)=2.5
3(0.5)=1.5+1= 2.5
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]
Which table in this photo shows a proportional relationship between X and Y?
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.Hassan loves cruising in his new sports car. His only complaint is how much gas it uses, since it only gets 20 miles per gallon. If Hassan drives 60 miles per hour, how many gallons of gas does his car need for a 75-minute drive?
Answer:
3.75 gallons
Step-by-step explanation:
speed = distance/time
s = d/t
d = st
d = (60 mi/hr) * (75 min) * (1 hour)/(60 min) = 75 miles
In 75 minutes of driving at 60 mph, he drives 75 miles.
fuel economy = distance/volume
volume * fuel economy = distance
volume = distance/(fuel economy)
volume = (75 miles)/(20 miles/gal)
volume = 3.75 gallons
Answer: 3.75 gallons
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]
Evaluate -2 + W for W = -7.1
Answer:
did you know that a W is the upside down logo of McDonald's?
okay but seriously though, the answer in -9.1
Answer:
-9.1
Step-by-step explanation:
-2+7.1=-9.1. you just add them together when they are both negatives
Some different ways to make 7,502
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:
0)
A car traveled 125 miles in 2.5 hours. If the car continued at the same rate, how far had it traveled after 3 hours?
Miles traveled after 3 hours =
Answer:
150
Step-by-step explanation:
125/2.5=50
50x3 =150
Answer:
150
Step-by-step explanation:
I took the Practice/Instruction :)
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
Solve the equation -7=8-3^5√x^3
Answer:
Exact form.... X= 5/81, - 5/81
Step-by-step explanation:
Hope this helps
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.
Jamal is 8 miles away from his house. He rides his bike home toward home at a speed of 12 mph..
How far away from home is he after a half hour?
Hi there!
Your answer to this question would be, B) 2 miles.
Happy to Help!
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:
brainly.com/question/13947055
#SPJ2
X+y=-4
2x+4y=-12
Stop by substitution
Answer:
X=4-y
2(4-y)+4y=12
8-2y+4y=12
2y=12-8
2y=4
y=4/2
y=2
x=4-y
x=4-2
x=2
(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
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:
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.
i need help with this qurstion
-2 (4z - 4) = 10 - 6z
I think it’s z=1 hope this helps
Answer:
z=-1
Step-by-step explanation:
-2(4z-4)=10-6z
First, distribute the -2 into the parenthesis to get:
-8z+8=10-6z
Then, add 8z to each side to eliminate it from the left side to get:
8=10+8z-6z
Simplify the right side and combine the z's:
8=10+2z
Subtract 10 from BOTH sides to get:
-2=2z
Finally, to get z alone, divide everything by 2 to get:
-1=z or z=-1
\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]
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 :)
someone please help me
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.
HELP ASAP:Which table represents a function?
The answer is the first one
an input cant have different outputs
helpp whats the answer
5x=15
Answer:
[tex]\boxed{\tt x=3}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]5x=15[/tex]
and asked to solve for [tex]x[/tex]. Therefore, we must isolate the variable on one side of the equation.
[tex]x[/tex] is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.
[tex]\frac{5x}{5}=\frac{15}{5}[/tex]
[tex]x=\frac{15}{5}[/tex]
[tex]x=3[/tex]
Let's check our solution. Plug 3 in for x and solve.
[tex]5x=15[/tex]
[tex]5(3)=15[/tex]
[tex]15=15[/tex]
This checks out, so we know our solution is correct.
The solution to 5x=15 is x=3.
If you drive 70 miles per hour, how many minutes does it take to drive 110 miles?
Answer:
127.6 mins
Step-by-step explanation:
70m per 1hr
1 mile per 1.16 min
110 mile × 1.16 min per mile
127.6 minutes
help please my teacher won't help me .
the answer to #2
Answer:
b
Step-by-step explanation:
a is not correct because the domain includes negative numbers as well
c is not correct because the domain includes positive numbers as well
and
d is not correct because the range for this function includes ordered pairs from the quadrants I and III (not I and IV)
hope this helps :)
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.