Answers
Answer:
a. f(12) = - 1
b. x = 27 when f(x) = 4
Step-by-step explanation:
We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4
To find f(12) we simply plug in 12 into x and evaluate it
[tex]f(x)=\frac{1}{3} x-5[/tex]
plug in 12
[tex]f(12)=\frac{1}{3} (12)-5[/tex]
multiply 12 and 1/3 to get 4
[tex]f(12)=4-5[/tex]
subtract 5 from 4 to get -1
[tex]f(12)=-1[/tex]
Now we want to find the value of x when f(x) = 4
To do this we substitute 4 for f(x) and solve for x
[tex]f(x)=\frac{1}{3} x-5[/tex]
substitute 4 for f(x) and solve for x
[tex]4=\frac{1}{3}x -5[/tex]
add 5 to both sides
[tex]9=\frac{1}{3} x[/tex]
multiply both sides by 3
27 = x
And we are done.
So f(12) = -1 and x = 27 when f(x) = 4
For a plug in 12 for x:
f(12) = 1/3(12)-5
f(12) = 4-5
f(12) = -1
For b plug in 4 for x:
f(4) = 1/3(4)-5
f(4) = 4/3 -5
f(4) = 0.75-5
f(4)= -4.25
Related Questions
help me please brainlist if right
Answers
Step-by-step explanation:
1B.) Zero power rule
C.) 1
2B.) Product of powers rule
C.) y^(7+11) = y^18
3B.) Quotient of powers rule
C.) b^(18-5) =b^13
4B.) Power of a power rule
C.) 3^(2×2) =3^4= 81
5B.) None
C.) 729
Consider the rectangle shown.
3x + 5
2x-1
If the perimeter of the rectangle is 52, what is the value of x?
Answers
Step-by-step explanation:
Perimeter of rectangle = 2(a+b) or 2a +2b
a=perimeter of the first side of the rectangle
b=perimeter of the second side of the rectangle
Perimeter = 2(3x+5 + 2x-1)=52
Open the bracket by multiplying the number outside by the number inside
=6x+10+4x-2=52
C.L.T ( Collect like terms), that means put the terms that have co-efficients together (those with variables "X") and those that don't have in the other side of the equation. While collecting like terms, if a number is taken to the other side, the sign changes
6x+4x=52-10+2
10x=44
D.B.S by 10, to make variable X subject
x=4.4
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The dimension of the rectangle is (3x + 5) and (2x - 1).
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be given as,
2[(3x + 5) + (2x - 1)] = 52
Simplify the equation, then we have
2[(3x + 5) + (2x - 1)] = 52
3x + 5 + 2x - 1 = 26
5x + 4 = 26
5x = 22
x = 22 / 5
x = 4.4
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.
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Select the postulate that is illustrated for the real numbers. 3x + 3 = 3(x + 1) The commutative postulate for multiplication Multiplication by one The distributive postulate The multiplication inverse The addition of zero postulate Commutative postulate for addition The addition inverse postulate
Answers
The expression 3x + 3 = 3(x + 1) is an example of a distributive postulate. It says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
a derpartment store sell 152 pair of jeans for 29 each. which is the best estimate of the total sales for the jeans
Answers
Answer:
44 dollars
Step-by-step explanation:
Since we need to find the total sales, we do 152 * .29, but we are estimating, therefore, instead we can do 150 * .29, which is 43.5. Rounding up we get 44, thus 44 is our answer
Rationalize the denominator 1/ (5-2√3)
Answers
[tex]\qquad[/tex]_________________________
[tex]\bf Multiplying\:by\:\: \purple{ \dfrac{5+\sqrt{3}}{5+\sqrt{3}}}\\[/tex]
[tex]\qquad[/tex][tex] \longrightarrow \bf \dfrac{1}{5 - 2\sqrt{3} } \times \dfrac{5 + 2\sqrt{3} }{5 + 2\sqrt{3} }\\ [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{1(5 + 2\sqrt{3}) }{(5 - 2\sqrt{3})(5 + 2\sqrt{3}) } [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{5 + 2\sqrt{3} }{ {(5)}^{2} - (2 \sqrt{3})^{2} } [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(5 \times 5) - (2 \times 2 \times \sqrt{3} \times \sqrt{3} )} [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(25) - (12)} [/tex]
[tex]\qquad[/tex][tex] \purple{ \longrightarrow \bf \dfrac{5 + 2 \sqrt{3} }{13} } [/tex]
[tex]\qquad[/tex]_________________________
Answer is 2/(5+√13)
Rationalize the denominator 1/ (5-2√3)
Which function represents the following graph? On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4. 5). Y = StartRoot x minus 3 EndRoot 3 y = StartRoot x 3 EndRoot 3 y = RootIndex 3 StartRoot x minus 3 EndRoot 3 y = RootIndex 3 StartRoot x 3 EndRoot 3.
Answers
The function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]
The points on the graph are given as:
[tex](x,y) = (-3,3)[/tex] --- the inflection point
[tex](x,y) = (0,4.5)[/tex] --- the y-intercept
The function that satisfy the above points is:
[tex]y = \sqrt[3]{x+3} + 3[/tex]
The proof is as follows:
At the inflection point, we have the x value to be -3.
So, the function becomes
[tex]y = \sqrt[3]{x+3} + 3[/tex]
[tex]y = \sqrt[3]{-3+3} + 3[/tex]
[tex]y = \sqrt[3]{0} + 3[/tex]
[tex]y = 0+ 3[/tex]
[tex]y = 3[/tex] ---- the y-value at the inflection point is true for x = -3
Also, at the y-intercept, we have the x-value to be 0
So, the function becomes
[tex]y = \sqrt[3]{x+3} + 3[/tex]
[tex]y = \sqrt[3]{0+3} + 3[/tex]
[tex]y = \sqrt[3]{3} + 3[/tex]
[tex]y = 1.45+ 3[/tex]
[tex]y = 4.45[/tex] ---- the y-value at the y-intercept is true for x = 0
Hence, the function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]
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Answer:
D
Step-by-step explanation:
The triangles are congruent due to which criteria?
SAA
SAS
SSS
HL
Answers
Answer:
SAS is the answer
Step-by-step explanation:
Answer:
HL.
Step-by-step explanation:
Right triangles with the hypotenuse and one leg congruent
Write the following in simplified radical form.
Answers
Step-by-step explanation:
I think the answer is like this
Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store. She paid Rs. 95 in all. Some ink fell on the bill that she got from the store. So the price of 1 notebook cannot be seen from the bill.What is the price of the one notebook?
Answers
The price of the one notebook will be Rs. 10.6
Let the price of one notebook be x.If Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store, with a total of Rs. 95 paid in all, then;
1x + 4x + 4x = 95
9x = 95
x = 95/9
x = 10. 6
Hence the price of the one notebook will be Rs. 10.6
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13)The final grade on your math exam was determined by the function f(x) = 100 - 2x. Which statements are correct?
A) 100 is the maximum grade,
B) y equals your final grade..
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems
Answers
Answer:
A, B, D
Step-by-step explanation:
from this function, we can see that 2x is being subtracted from 100. x is the number of incorrect problems, so this can not be a negative value. therefore, the maximum score you can get is 100. y is equal to your final grade as calculating the right side of the equation results in the grade you receive based on the number of incorrect answers. this is a linear function since its highest power is 1. each question is worth 2 points as 2 is being multiplied by the number of incorrect questions (x).
I FORGOT TO PUT THE ANSWERS SORRY PLEASE HELP
Answers
Answer:
Step-by-step explanation:
Circumscribed means written around the outside. -scribe means writing and
think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.
So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).
Circle A is inscribed in triangle RST.
Answer:
Inscribed
Step-by-step explanation:
What is polygon inscribe?
When a polygon is inscribed inside another polygon it is called polygon inscribe.Here Circle A is drawn inside ∆RST so it's inscribed.Paul left his house at 9:45 a.m. and returned home at 6:55 p.m. the same day. How long was Paul away from home?
Answers
Answer:
9 hours and 10 minutes
How many centimeters are there in 1 yard if there are 2.54 centimeters per inch? Show your work and express your answer without rounding.
Answers
Answer: 91.44
Step-by-step explanation:
There are 3 feet in a yard, 12 inches in a foot. 2.54 x 12= 30.48
30.48 x 3= 91.44
I hope this helps!
During a store's opening month, they sold 925 DVD's and 507 Blu-ray discs. Each month thereafter, the number of DVD's sold per month decreased by 12 while the number of Blu-ray discs sold per month increased by 26. Let d represent the number of discs sold and t represent the time in months.Write a system of equations
Answers
The system of equations representing the number of Blue-ray discs and DVD's after t months are:
507 + 26t
925 - 12t
Each month, the number of DVD's sold decreases by 12, this can be modelled as:
number of DVD in opening month - (monthly decrease x number of months)
Number of DVD's in t months = 925 - 12t
Each month, the number of Blue-ray discs sold increases by 26, this can be modelled as:
number of blue-ray discs in opening month + (monthly increase x number of months)
Number of Blue-ray discs in t months = 507 + 26t
To learn more about growth rate, please check: https://brainly.com/question/18760477
solve similar triangles (advanced)
Answers
Answer:
x = 1.125 AKA x = 1 1/8 AKA x = 9/8
Step-by-step explanation:
CB to ED = 1 : 9
Scale Factor = 1/9
[tex]\frac{1}{9} = \frac{x}{x+9}[/tex] -> cross multiply
9x = x + 9
-x -x
8x = 9
[tex]\frac{8x}{8} =\frac{9}{8}[/tex]
x = 9/8
Edward deposited $5,500 into a savings account 5 years ago. The simple interest rate is 3%. How much money Need ans
Answers
Answer:$1375 in interest and $6875 total.
Step-by-step explanation:
Mattie Evans drove 160 miles in the same amount of time that it took a turbo propeller plane to travel 920 miles. The speed of the plane was 190 mph faster than the speed of the car. Find the speed of the plane.
Answers
Answer:
Step-by-step explanation:
The speed of the plane was 291.13mph.
What is speed?Speed is distance travelled per unit time. It is scalar quantity
Given
The difference in distances was 600 miles; the difference in speeds was 190mph. That means the time was 600/190 = 3.16 hours.
Since the plane flew 920 miles in that time, its speed was 920/3.16 = 291.13mph.
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Given the figure below, which statement correctly completes the following? ABE and HCD are what type of angles
Answers
Angles are classified based on their measures.
Classification of angles
The following are the classification of angles
Acute AnglesRight AnglesObtuse AnglesStraight linesReflex AnglesThe smallest angle is 0 degrees and the largest is 360 degrees.
When the measure of an angle is less than 90 degrees, such angle is an acute angle
When the measure of an angle is exactly 90 degrees, such angle is a right angle
Angles greater than 90 degrees, but less than 180 degree are obtuse angles, while angles that measure exactly 180 degrees are straight lines.
The last type of angle is the reflex angle, and it has a measure between 180 degrees and 360 degrees (exclusive)
The question is incomplete, so I gave a general explanation
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Find the value of c that makes x^2+ 9x + c a perfect square trinomial. Write the expression as the square of a binomial. The expression is
Answers
Answer:
[tex]c=\frac{81}{4}[/tex]
I hope this is the right answer and I hope this helps
The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.
What is a perfect square trinomial?A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.
The expression is given below.
⇒ x² + 9x + c
The value of the variable 'c' to convert the expression as the square of a binomial will be given as,
c = (9/2)²
c = 81 / 4
The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.
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Are these three side lengths a Pythagorean triple? YES
NO
Answers
Answer:
Yes
Step-by-step explanation:
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
[tex]\sqrt{50}[/tex] = c
[tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]
Answer:
NOStep-by-step explanation:
no, it is an acute isosceles triangle
(5√2 = 7.01)
Solve the following equation by factoring: x^2+ x– 42 = 0
Answers
Answer:
x=6,x=-7
Step-by-step explanation:
x^2+x-42=0
x^2-6x+7x-42=0
x(x-6)7(x-6)=0
(x-6)(x+7)=0
What is the sum of the 4th square number and the 12th square number
Answers
Answer:
160
Step-by-step explanation:
4th square number: 16
12th square number: 144
16 + 144 = 160
3 equivalent ratio to 9/2
Answers
Answer:
10/12 i took the test
Step-by-step explanation:
Answer:
18/4 , 27/6 , 36/8
Step-by-step explanation:
9 to 2 x 2 = 18 to 4
9 to 2 x 3 = 27 to 6
9 to 2 x 4 = 36 to 8
yesterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?
Answers
Answer:
6
Step-by-step explanation:
5% of 120 were late
= [tex]\frac{5}{100}[/tex] × 120
= 0.05 × 120
= 6
Simplify (x^3 + 2x^2 - x) + (4x^3 + x^2 + x)
Answers
Answer: 5x^3 + 3x^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
6x2 - 8x - 2
Simplify ————————————
x - 1
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
6x2 - 8x - 2 = 2 • (3x2 - 4x - 1)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 4x - 1
The first term is, 3x2 its coefficient is 3 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -4 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Polynomial Long Division :
3.3 Polynomial Long Division
Dividing : 3x2-4x-1
("Dividend")
By : x-1 ("Divisor")
dividend 3x2 - 4x - 1
- divisor * 3x1 3x2 - 3x
remainder - x - 1
- divisor * -x0 - x + 1
remainder - 2
Quotient : 3x-1
Remainder : -2
Final result :
2 • (3x2 - 4x - 1)
——————————————————
x - 1
See results of polynomial long division:
1. In step #03.03
Mandy has $2.25 credit on her mobile phone. It costs $0.10 to send a text message. What is the largest amount of text messages she can possibly send to her friends with $2.25?
Answers
Answer:
22.5
Step-by-step explanation:
since 2.25 divided by 0.10 is 22.5 so she can message 22.5 friends
I need help
What does x² equal?
Answers
Answer: we need to know what the equation is
Step-by-step explanation:
Skyler is helping his mother plan a wedding breakfast for his older sister, Jessica. They
are expecting 63 family members to attend, and they are using round tables that seal 8
guests each. How many tables will be needed to seat 63 people?
What do I do with the remainder?
Answers
Answer:
You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.
Is {1, 3, 5} a subset of the set of odd integers?
Answers
Answer: Yes
Step-by-step explanation:
The set of odd integers is all odd numbers with no decimal places after them. This includes 1, 3, 5, 7, 9, 11, 13 (etc.) The numbers 1, 3, and 5 all fall within this set, making the set {1, 3, 5} a subset of the set of all odd integers.
9) the formula for the volume
I of a cone is v= 1/3 TT r ² h
Solve the formula for the
height h
Please show your work!!!
Answers
Answer:
V=TTr²h
Step-by-step explanation:
Why?
Because you will v=TT r² h/3
so the answer is
v=TT r² h/3,r É R,h É R
That's my hardwork lick it brainliest and liked my hardwork please