Answer:
[tex]g(x)=f(2)[/tex] for x = 4
Step-by-step explanation:
If [tex]f(x)=3x-1[/tex]
and [tex]g(x)= 2x-3[/tex]
Then for which value of "x" does [tex]g(x)=f(2)[/tex] ?
So start by evaluating what [tex]f(2)[/tex] is:
[tex]f(x)=3x-1\,\,\,\,therefore\,\,\,\, f92)=3\,(2)-1=6-1=5[/tex]
Then,we have to find for which value of x [tex]g(x)=5[/tex]
so we write g(x) explicitly:
[tex]2x-3=5\\2x=5+3\\2 x = 8\\x = 8/2\\x=4[/tex]
what is 6 to the second power equal?
Answer: 6 to the second power equals 36.
Step-by-step explanation: Any number to the power of two multiples by itself.
So 6 x 6 = 36
Answer:
36
Step-by-step explanation:
6^2= 36
What is the degree of the following Polynomial? 6xy4 - 3x3 - 4
Answer:
5th degree polynomial
Step-by-step explanation:
The degree of a polynomial is the highest sum of the exponents in one term.
So we have the polynomial:
[tex]6xy^4-3x^3-4[/tex]
Calculate the degree of each term:
1st Term:
[tex]6xy^4[/tex]
This is the same as:
[tex]6x^1y^4[/tex]
So, our degree is 1+4=5.
2nd Term:
[tex]-3x^3[/tex]
There is only one variable. So, the degree is 3.
3rd Term:
[tex]-4[/tex]
This is the same as:
[tex]-4x^0[/tex]
So, this is a zeroth degree.
The largest degree is 5.
So, this is a fifth degree polynomial.
Notes:
To be more specific, this is a fifth degree trinomial.
Answer:
third degree
Step-by-step explanation:
it is a third degree polynomial because the equation is considered cubic. cubic means to the 3rd power. its cubic because there's three parts to the equation
I’m desperate for help!!
When we reflect every point over the x axis...
S(2, -4) becomes S ' (2, 4)T(9, -4) becomes T ' (9, 4)U(9, -1) becomes U ' (9, 1)V(2, -1) becomes V ' (2, 1)The rule you use is [tex](x,y) \to (x,-y)[/tex]
The x coordinate stays the same while the y coordinate flips in sign (in this case from negative to positive)
find the perimeter of rhombus star
Answer:
[tex] 4\sqrt{10} [/tex]
Step-by-step explanation:
Perimeter of the rhombus, STAR, is the sum of the length of all it's 4 sides.
The coordinates of its vertices are given as,
S(-1, 2)
T(2, 3)
A(3, 0)
R(0, -1)
Length of each side can be calculated using the distance formula given as [tex] d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Find the length of each side ST, TA, AR, RS, using the above formula by plugging in the coordinate values (x, y) of each vertices.
[tex] ST = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
S(-1, 2) => (x1, y1)
T(2, 3) => (x2, y2)
[tex] ST = \sqrt{(2 -(-1))^2 + (3 - 2)^2} [/tex]
[tex] ST = \sqrt{(3)^2 + (1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]
[tex] TA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
T(2, 3) => (x1, y1)
A(3, 0) => (x2, y2)
[tex] TA = \sqrt{(3 - 2)^2 + (0 - 3)^2} [/tex]
[tex] TA = \sqrt{(1)^2 + (-3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]
[tex] AR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
A(3, 0) => (x1, y1)
R(0, -1) => (x2, y2)
[tex] AR = \sqrt{(0 - 3)^2 + (-1 - 0)^2} [/tex]
[tex] AR = \sqrt{(-3)^2 + (-1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]
[tex] RS = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
R(0, -1) => (x1, y1)
S(-1, 2) => (x2, y2)
[tex] RS = \sqrt{(-1 - 0)^2 + (2 -(-1))^2} [/tex]
[tex] RS = \sqrt{(-1)^2 + (3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]
[tex] Perimeter = ST + TA + AR + RS [/tex]
[tex] Perimeter = \sqrt{10} + \sqrt{10} + \sqrt{10} + \sqrt{10} = 4\sqrt{10} [/tex]
onde step equations (add/subtract)
-6 = t -1 =???
Step-by-step explanation:
If we are solving for t, we have to remember that we have to isolate the variable (get its on its own). Since -1 is with t on the same side of the equation right now, we have to move the -1 to the other side of the equation. To do so, we add it's opposite to the right side (+1). Then, the -1 cancels out so we are left with an isolated t.
-6 = t - 1 (+1)
-6 = t
But we are not done yet! Whatever we do on one side, we have to do on the other side. Since we added 1 to the right, we have to add 1 on the left, too. So we add 1 to -6.
(+1) -6 = t
-6 + 1 = -5
-5 = t
Our final answer: t = - 5 (it can also be written as - 5 = t, but most people prefer the variable going first)
A recipe for sparkling grape juice calls for quarts of sparkling water and quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?
Answer:
For this case we can make the following rule of three:
1 1/2 ---------> 3/4
x --------------> 9
We clear the value of x:
x = ((9) / (3/4)) * (1 1/2)
Rewriting we have:
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
Answer:
you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice
one less than the quotient of a number and -5
Answer:
(-x/5) - 1
Step-by-step explanation:
Step 1: Translate word into math
one less = - 1
quotient of a number and -5 = x/-5
Step 2: Combine
(x/-5) - 1
Step 3: Simplify
(-x/5) - 1
Write the fraction below in simplest form.
Answer:
A. 2a² / 5b
Step-by-step explanation:
12a³b² / 30ab³
cancel the common factor = 6
= 2a³b² / 5ab³
cancel the common factor = a
= 2a²b² / 5b³
apply exponent rule, so
= 2a² / 5b³ ⁻ ²
subtract 3 - 2 = 1
= 2a² / 5b
The smell of the flowers ____ sweet. 1. was 2. are
Answer:
1. was (but I think it should be is)
Step-by-step explanation:
the smell of flowers was/is sweet
-----------------------
The sentence is referring to the smell, and smell is singular, so we should is or was
Hope this helps!! :)
Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000. What is the explicit function that represents Mark's salary?
Answer:
65000(1.02)^n.
Step-by-step explanation:
Salary = 65000(1.02)^n where n is the number of years he has worked for the company.
So after one year he earns $6500* 1.02 and after 2 years $65000 * 1.02^2.
The exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]
What is an exponential function?The mathematical expression f(x)=exp or e^x denotes the exponential function.
The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
Given that Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so its employees' salaries keep up with inflation. At the end of the first year, Mark will have made $65,000.
The exponential function for the salary will be written as:-
[tex]Salary = 65000(1.02)^n[/tex]
where n is the number of years he has worked for the company.
So after one year, he earns $6500 x 1.02, and after 2 years $65000 x 1.02².
Therefore, the exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]
To know more about an exponential function follow
https://brainly.com/question/2456547
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Last week, a candy store sold 6 1/3 pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate. How many pounds (in mixed number form) of milk chocolate did the candy store sell last week?
Answer:C
Step-by-step explanation:
Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C
Answer:
25 1/3 C
Step-by-step explanation:
Find the coordinates?HELP^
Answer:
21/2,-14Step-by-step explanation:
midpoint formula [tex] = [/tex]x1+x2÷2,y1+y2÷2The density of a certain material is such that it weighs 6 pounds per pint of volume.
Express this density in grams per liter. Round your answer to the nearest whole
number.
*Note: you must use these exact conversion factors to get this question right.
Weight / mass
Volume
1 pound (lb) = 16 ounces (oz)
1 cup (cup) = 8 fluid ounces (fl oz)
i ton (ton) = 2000 pounds (lb)
1 pint (pt) = 2 cups (cups)
1 gram (g) = 1000 milligrams (mg)
i quart (at) = 2 pints (pt)
1 kilogram (kg) = 1000 grams (8)
1 gallon (gal) = 4 quarts (qt)
1 ounce (oz) = 28.35 grams (8)
1 cubic foot (ft") = 7.481 gallons (gal)
1 pound (1b) = 0.454 kilograms (kg) 1 liter (L) = 1000 milliliters (mL)
1 cubic meter (m) = 1000 liters (L)
1 gallon (gal) = 3.785 liters (L)
i fluid ounce (fl oz) = 29.574 milliliters (mL)
Answer:
The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) is 5756.75 g/L
Step-by-step explanation:
The density of the material is 6 pounds per pint of volume
The given conversion factors are;
1 pint (pt) = 2 cups (cups)
1 cup (cup) = 8 fluid ounces (fl oz)
Therefore;
2 cups (cups) = 2 × 8 fluid ounces = 16 fl oz
Also given;
1 fluid ounce = 29.574 mililiters (mL)
16 fl oz = 16 × 29.574 mL = 473.184 mL
1 liter (L) = 1000 mililiters (mL)
∴ 1 mL = 1/1000 L = 0.001 L
473.184 mL = 473.184 × 0.001 L = 0.473184 L
1 pound (lb) = 0.454 kilograms (kg)
6 lb = 6 × 0.454 kg = 2.724 kg
1 kg = 1000 grams (g)
2.724 kg = 2.724 × 1000 grams (g) = 2724 g
Therefore, with 6 lb = 2724 g and 1 pt = 0.473184 L, the density, d, of the material in grams per liter that has a density of 6 pounds per pint is given as follows;
d = 2724 g/(0.473184 L)= 5756.75 g/L
The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) = 5756.75 g/L = 5756.75 g/L.
Warm-Up 2: Three different animals were given a certain amount of money. A
bird was given $9.00, an octopus was given $36.00, and a bee was given $27.00.
Based on that information, how money would a dog be given? Explain and show
your thinking
Is this the full question?
Solve for x (image below)
Answer:
-12
Step-by-step explanation:
2x+29+8=×+25
Solve for x
Question 1 (2 points) The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. a. What is the time in seconds the toy robot moves when the total distance is 408 centimeters? Seconds b. What is the distance in centimeters the toy robot moves after 3 seconds? Centimeters
Answer:
a. [tex]T = 17s[/tex]
b. [tex]D = 72cm[/tex]
Step-by-step explanation:
Given
Direct Variation
[tex]Distance(D)\ \alpha\ Time (T)[/tex]
D = 264 cm when T = 11 s
Calculating (a)
First, the constant of variation (k) as to be calculated;
Since, there exist a direct proportion; then,
[tex]D\ \alpha\ T[/tex]
[tex]D = kT[/tex]
Make k the subject of formula
[tex]k = \frac{D}{T}[/tex]
D = 264 cm when T = 11 s; So
[tex]k = \frac{264}{11}[/tex]
[tex]k = 24[/tex]
So: Solving for (a)
[tex]D = 408[/tex]
Substitute 408 for D and 24 for k in [tex]D = kT[/tex]
[tex]408 = 24 * T[/tex]
Divide both sides by 24
[tex]\frac{408}{24} = T[/tex]
[tex]T = \frac{408}{24}[/tex]
[tex]T = 17s[/tex]
Hence, time to move a distance of 408cm is 17s
Calculating (b)
[tex]T = 3[/tex]
Substitute 3 for T and 24 for k in [tex]D = kT[/tex]
[tex]D = 24 * 3[/tex]
[tex]D = 72cm[/tex]
Hence, distance covered in 3 seconds is 72cm
What is the intersection of AC and plane Q?
10. What are the x and y intercepts of the equation --30 + 5y = 15
Answer:
i think you had written the formula wrongly
so if it was -30x not -30
Step-by-step explanation:
x intercept when y=0
-30x = 15
x= -0.5
y intercept when x=0
5y= 15
y=3
- if this is the one you want
-30 +5y=15
5y =45
y=9
and there not x intercept { }
A cylindrical waste can has a volume of 5, 667.7cubic inches and its base has a radius of 9.5 inches. Find the height of the waste can. Round to the nearest tenth .
Answer:
height of the waste is 20.0 inches.
Step-by-step explanation:
given data
volume = 5, 667.7cubic inches
radius = 9.5 inches
solution
we use here volume of a cylinder is express as
V = πr²h .................1
put here value
5667.7 = (3.14) × (9.5²) × h
solve it we get
h = 20 inch
so height of the waste is 20.0 inches.
The area of a square garden is 9 yd*2..
How long is each side of the garden?
Answer:
18 yards i think
Step-by-step explanation:
if F is the midpoint of DE, DF =3x+5 and FE = 5x-19, Find DF
Answer:
DF=41
Step-by-step explanation:
It is given that F is the midpoint of DE. We know that, midpoint bisects the line segment. So,
DF=FE
3x+5=5x-19
Subtracting both sides by 3x
3x+5-3x=5x-19-3x
5=2x-19
Subtract both sides by 5
5-5=2x-19-5
0=2x-24
2x=24
x=12
So, the value of x is 12.
Put x = 12 in DF=3x+5
DF=3(12)+5
DF= 36+5
DF = 41
So, the value of DF is 41.
1.
If'C is the midpoint of the line segment joining points A(4,1) and
B(2,3), then y-coordinate of point ' C is 4
TRUE
FALSE
Answer:
false
Step-by-step explanation:
Answer:false
Step-by-step explanation:
What is the missing reason in the proof?
HELP!! ASAP
Answer:
c mark me as brainliest
Step-by-step explanation:
To make five cups of lemonade you mix three cups of water with two cups of lemon juice. If there are sixteen cups in a gallon, how many cups of lemon juice are needed to make ten gallons of lemonade
Answer:
64 cups of lemon juice
Explanation:
First, you can determine with the information provided the amount of cups of lemon needed to prepare sixteen cups of lemonade:
5 cups of lemonade→2 cups of lemon juice
16 cups of lemonade→x
x=(16*2)/5=6.4 cups of lemon juice
Now, you now that for sixteen cups that is the amount in a gallon you need 6.4 cups of lemon juice and you can use a rule of three to determine the amount needed for ten gallons of lemonade:
1 gallon of lemonade→6.4 cups of lemon juice
10 galons of lemonade→x
x=(10*6.4)/1=64 cups of lemon juice
According to this, the answer is that 64 cups of lemon juice are needed to make ten gallons of lemonade.
Can someone help me please I need to turn this in tomorrow
Answer:
1. 24 different 4-digit numbers can be formed.
Step-by-step explanation:
2. The probability that the number 3 will be the first or third digit is 1:1, which is equal to 1/2 and 50%
3. The probability is 3:1, 3/4, or 75%
4. What is the probability that the first digit will be the number 3 and the second digit will be the number 7? Answer: 1/12
Ugh, I hate math but... I got to stay positive... PLEASE HELP ME
Answer:
h(4)= -2
Step-by-step explanation:
plug in 4 into the x:
h(4)=-4+2=-2
13f + 6 -f = -3
help?
Answer:
f = -3/4
Step-by-step explanation:
13f + 6 -f = -3
Combine like terms
12f +6 = -3
Subtract 6 from each side
12f+6-6 = -3-6
12f = -9
Divide each side by 12
12f/12 = -9/12
f = -3/4
Answer:
f= -3/4 or -0.75
Step-by-step explanation:
We are given the equation:
13f + 6 -f = -3
First, let's combine like terms. Subtract f from 13f.
(13f-f) + 6 = -3
12f + 6= -3
We want to find f. Therefore, we must isolate the variable on one side of the equation.
6 is being added to 12f. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
12f + 6 -6 = -3-6
12f= -3-6
12f= -9
f is being multiplied by 12. The inverse of multiplication is division. Divide both sides by 12.
12f/12= -9/12
f= -9/12
This fraction can be reduced. Both the numerator and denominator can be divided by 3.
f = (-9/3) / (12/3)
f= -3/4
f=-0.75
The solution to the equation is f= -3/4 or -0.75
Is the expression X^3 equivalent to X^3•3•3
Answer:
I think if you take the x out it would be equivalent
Step-by-step explanation:
3•3•3
Which of the following options have the same value as 10% of 332
Choose 3 answers:
Answer:
33.2
Step-by-step explanation:
Multiply 332 by 0.1
or 332/10=33.2
4) Let A = {7, 8, 9, 10, 11, 12), B = {9, 11, 13), C = {7, 8, 10, 12), D = {7, 12), and U = {7, 8, 9, 10, 11, 12, 13). 4) Вас A) True B) False
It is true as A consist {7,8,9,10,11,12} and B consists of{9,11,13} and C consist of {7,8,10,12} and D has{7,12} there are the set of numbers from 7 to 13 only so the answer is true that U={7,8,9,10,11,12,13}.