To fill the table for the function we consider all values of x subbed in to the equation
y = 25 – 4x
Filling a graph table
Generally, To fill a graph table with an equation we are usually give the independent factor in this case is the values of x
Therefore, to fill the table for the function we consider all values of x subbed in to the equation
y = 25 – 4x
For more information on Graph
https://brainly.com/question/14375099
Solve the equation. 6^3r = 36
Answer:
r = 2/3
Step-by-step explanation:
[tex]6^{3r} =36[/tex]
if:
[tex]36=6^{2}[/tex]
[tex]6^{3r} =6^{2}[/tex]
then:
[tex]3r=2[/tex]
[tex]r=2/3[/tex]
Hope this helps
Answer:
[tex]r=\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]6^{3r}=36\\\\log_6(6^{3r})=log_6(36)\\\\3r=2\\\\r=\frac{2}{3}[/tex]
Find the value of x.
(please show how you solved the problem if you're able to! :D)
Answer:
x= 45
Step-by-step explanation:
90+45=135
180(sum of angles in triangle) - 135=45
Luzia ran the 400‑meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer:
53.5 sec
Step-by-step explanation:
avg = 54
(56.3+52.3+x)/3 = 54
56.3+52.3+x = 54*3=162
108.5+x = 162
x = 162-108.5=. 53.5
Answer:
53.5 sec
Step-by-step explanation:
Hope its right
Express $18\sqrt 8$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $b$ is as small as possible.
By simplifying the given expression we will get that:
18*√8 = 36*√2
How to find an equivalent expression?
Here we start with:
18*√8
We can rewrite 18 as:
18 = √324
Replacing that in our expression we get:
√324*√8 = √(324*8) = √(2,592)
Now we need to rewrite 2,592 as the product of a square number and a non-square number (such that the non-square number is the smallest possible one).
If we divide 2,592 by 2, we get:
2592/2 = 1296
Then we can rewrite:
√2592 = √(2*1296) = √2*√1296 = √2*36
So this is the expression we wanted:
18*√8 = 36*√2
If you want to learn more about square roots, you can read:
https://brainly.com/question/8952483
Answer:
[tex]36\sqrt{2}[/tex]
Step-by-step explanation:
The largest square factor under the radical is 4. This gives us the factorization [tex]\sqrt{8} =\sqrt{4} * \sqrt{2}[/tex].
Thus,
[tex]18\sqrt{8} = 18(\sqrt{4} * \sqrt{2})[/tex]
[tex]= 18*2\sqrt{2}[/tex]
[tex]= 36\sqrt{2}[/tex]
Hope this helps!
How much would it cost for Mr. John to replace the tile in his kitchen if the cost for the tile is $1.50 per square foot? (Think about what shape the kitchen is to find the area of it)
Answer:
214.50
Step-by-step explanation:
A = lw
13 x 11 = 143 (13 is a guess)
143 x 1.50 = 214.50
im not 100 % but give it a try
hope this helps
pls mark brainliest
Decide whether the given ordered pair is a solution to the system of equations.
-5x+y=12
y=-x
(-2,2)
Answer:
no
Step-by-step explanation:
Doesn't add to 12
[tex] - 5x + y = 12[/tex]
Add both sides 5x
[tex] - 5x + 5x + y = 5x + 12[/tex]
[tex]y = 5x + 12[/tex]
&
[tex]y = - x[/tex]
Thus :
[tex] - x = 5x + 12[/tex]
Add both sides x
[tex] - x + x = 5x + x + 12[/tex]
[tex]0 = 6x + 12[/tex]
Subtract both sides 12
[tex]0 - 12 = 6x + 12 - 12[/tex]
[tex] - 12 = 6x[/tex]
Switch sides
[tex]6x = - 12[/tex]
Divide both sides by 6
[tex] \frac{6x}{6} = \frac{ - 12}{6} \\ [/tex]
[tex]x = - 2[/tex]
We found the x-coordinate of the solution point ; to find the y-coordinate we just need to put the value of x in one 0f the given equations :
[tex]y = - ( - 2) [/tex]
[tex]y = 2[/tex]
Thus ( - 2 , 2 ) is the solution to this system of equations.
I need help with this problem please and thank you
a) [tex]x^5-x^3[/tex]
[tex]x^3\left(x^2-1\right)[/tex] ........take out x³
[tex]x^3\left(x+1\right)\left(x-1\right)[/tex] ......separated (x²-1)
b) [tex]3x^2-75[/tex]
[tex]3\left(x^2-25\right)[/tex] ........took out 3.
[tex]3\left(x+5\right)\left(x-5\right)[/tex] .......separated (x²-25)
c) [tex]3x^5y+4x^4y-5x^2y[/tex]
[tex]x^2y\left(3x^3+4x^2-5\right)[/tex] ............takeout x²y at the front.
d) [tex]81x^3-125[/tex]
[tex]81x^3-125[/tex] ......cannot be factorised much more further.
Solution:
Part - A:
To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x⁴ (GCF), which can factorize completely. This will subtract 4 from the exponents.
=> x⁵ - x³=> x⁴(x - 1)Part - B:
To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by 3 (GCF), which can factorize completely. This will divide 3 from the terms.
3x² - 753(x² - 25)3(x + 5)(x - 5)Part - C:
To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x²y (GCF), which can factorize completely.
3x⁵y + 4x⁴y - 5x²y=> x²y(3x³ + 4x² - 5)Part - D:
Unfortunately, this expression can't factor with rational numbers. The expression results in 81x³ - 125.
the perimeter of a rectangular pool is 5656 meter. if the length of the pool is 1616 meter then find its width
pls explain full
Answer:
Length= 1616 m
Perimeter= 5656 m
= 2X L+ B
Breadth= Perimeter- Length /2
= 5656m - 1616 m
= 4040 /2
= 2020 m
Please mark as Brainliest
bro somebody anybody answer these 2 questions i plead
Answer:
1. 4/5, 3/5, 4/3 || 2. x = 13.78
Step-by-step explanation:
1)
Sin = Opposite/Hypotenuse = 16/20 = 4/5
Cos = Adjacent/Hypotenuse = 12/20 = 3/5
Tan = Opposite/Adjacent = 16/12 = 4/3
So the answer is 4/5, 3/5, 4/3
2) The unknown side is the opposite, and 21 is the hypotenuse. Opposite/Hypotenuse is the sine function.
Sin(41) ≈ 0.656
0.656 = x/21
x = 13.776
The closest answer to this is 13.78
Micah jogs on a path at the park at 5 miles per hour. He has jogged 2 miles when Luke starts running on the same path at 5 miles per hour. If they maintain their pace, when will Luke catch up to Micah?
Answer:
no because micah started before and they are running at the same pace.
Step-by-step explanation:
If they maintain their pace, Luke will not catch up to Micah because the gap of the 2 miles will be maintained.
What is the application of subtraction?In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that Micah jogs at a 5 mph pace along a park trail. Luke begins running on the same path at a speed of five miles per hour after he has jogged two miles.
After 2 kilometers of jogging by Micah, Luke begins running along the same route. Luke moves at a 5 mph speed.
Because Micah and Luke move at the same speed. There will be a 2-mile separation between them. Luke will not catch up to Micah
Thus, if they maintain their pace, Luke will not catch up to Micah because the gap of the 2 miles will be maintained.
Learn more about the application of subtraction here:
brainly.com/question/15345330
#SPJ2
please hurry i’m super stressed
What is the correct expanded form and value of 5
o (13)
4
1 1 1
O 5+5+5+5
+
1 1 1 1 1
5'5'5'5625
...
1+1+1+1
5.4
4
20
1
5
4
5
Answer:
The answer is the second option
multiply -10(-7x² + 5x)
Step-by-step explanation:
Use the Distributive Property:
[tex]-10(-7x^{2} +5x)[/tex]
[tex]70x^{2}-50x[/tex]
[tex]70x^{2}-50x[/tex] is your simplified expression.
six times a number is 21 less than nine times the same number
Answer:
7
Step-by-step explanation:
6*7=42
9*7=63
63-42
Answer:
number is 7
Step-by-step explanation:
let the number be n , then
6n = 9n - 21 ( add 21 to both sides )
21 + 6n = 9n ( subtract 6n from both sides )
21 = 3n ( divide both sides by 3 )
7 = n
That is the number is 7
I need help again………….
Can someone help me
Step-by-step explanation:
I guess, the problem is to understand :
what means "average" ?
well, the average of a defined set of data points is the sum of the data divided by the number of data points (or samples).
that way you get a mean value for each time the system is "measured" (a data point is created).
each new measurement / data point changes the mean value (or average).
this is used all the time - in sports statistics (e.g. the average score of a team), in daily life (like the average height of a human being that defines sizes of clothes, beds, chairs, tables, even the typical height of ceilings and so on).
the average of these 8 data points is therefore :
(36+37+34+23+47+27+31+21)/8 = 256/8 = 32
so, if he wants to raise his average score to 35 with the results of the next 2 games, this has 2 things to be considered :
1. the number of days points will be then 8+2=10 (and not just 8).
2. we need to add 2 data points, so that the sum of all 10 data points divided by 10 is then 35.
(36+37+34+23+47+27+31+21+x+y)/10 = 35
(36+37+34+23+47+27+31+21+x+y) = 350
x + y = 350 - 256 = 94
that means, he has to score a total of 94 points in the next 2 games.
it does not matter, how many in any single game, as long as the sum of both games is 94.
since the question is phrased "how many in each of the next 2 games", we simply take the target average of these 2 games.
remember, sum/amount = 94/2 = 47.
so, he would have to score 47 points in each of the next 2 games to raise his general average score to 35.
Elizabeth coal ltd has total assets of $8,000,000, common stock of $4,200,000, and liabilities of $1,200,000. What is the amount for retained earnings?.
Based on the information given the amount of the retained earning is $2,600,000.
Retained earningUsing this formula
Retained earning=Total assets - Common stock - Liabilities
Where:
Total assets=$8,000,000
Common stock=$4,200,000
Liabilities=$1,200,000
Let plug in the formula
Retained earning=$8,000,000-$4,200,000-$1,200,000
Retained earning=$2,600,000
Inconclusion the amount of the retained earning is $2,600,000.
Learn more about retained earning here:https://brainly.com/question/25631040
Solve x/2 - 2 = 5x =...
Answer:
4/9
Step-by-step explanation:
Solve for t.
t
3
= 4
Answer:
r = 12
Step-by-step explanation:
Step 1: Multiply both sides by 3.
(t/3) × 3 = 4 × 3t = 12Step 2: Check if solution is correct.
12/3 = 44 = 4Have a lovely rest of your day/night, and good luck with your assignments. ♡
Answer:
t = 12
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
[tex]3*\frac{t}{3}=3*4[/tex]
[tex]t=3*4[/tex]
Multiply the numbers
t = 12
[RevyBreeze]
Tell how much each person gets when they share equally.
3 friends share 5 pounds of trail mix.
Answer:
Each person will get .6 of a pound
Step-by-step explanation:
If you divide 3 by 5 you get .6.
Find the value of x. PLS HELP ASAP!!!!!
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
the base length is 32
But we need the base angle for the x triangle so we say
[tex] \frac{32}{2} = 16[/tex]
[tex]20 = hypothenus \\ 16 = adjacent \\ [/tex]
[tex]opposite \: =[/tex]
[tex] {opp}^{2} + {adj}^{2} = {hyp}^{2} [/tex]
[tex] {opp}^{2} + {16}^{2} = {20}^{2} [/tex]
[tex] {opp}^{2} = {20}^{2} - {16}^{2} \\ {opp}^{2} = 400 - 256 \\ {opp}^{2} = 144 \\ opp = \sqrt{144} \\ opp = 12 \\ x = 12[/tex]
Rhonda has a square with a perimeter of less than 50cm. what length could the sides be?
-6u > -42 u is greater than what?
simplify
-6u>-42
switch signs when dividing negative numbers
u<7
so, u is actually smaller than 7
what are the roots of the polynomial equation
Answer:
-4 or -3
Step-by-step explanation:
Calculate the determinant:
D = b^2 - 4ac = 49 - 48 = 1
Apply the formula:
x = (-b +- sqrt(D))/2a = (-7 +- 1)/2 = -4 or -3
Jade is a real estate agent and is paid an annual salary of $18 000 plus a commission of 2.5% on
all sales. She is also paid a car allowance of $50 per week. What was Jade’s total yearly income
if she sold $1 200 000 worth of property?
Using proportions, it is found that Jade's total yearly income was of $50,600.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, Jade's income is composed by:
Fixed annual salary of $18,000.Car allowance of $50 per week, for 52 weeks.2.5% on commissions of $1,200,000.Hence:
[tex]T = 18000 + 50(52) + 0.025(1200000) = 50600[/tex]
Jade's total yearly income was of $50,600.
More can be learned about proportions at https://brainly.com/question/24372153
Find the product of (x − 3)2. X2 6x 9 x2 − 9 x2 − 6x 9 x2 9.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x-3)^2[/tex] is [tex]x^2 - 6x + 9[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
For the given case, the product needed can be calculated as:
[tex](x-3)^2 = (x-3) \times(x-3) = x(x-3) - 3(x-3) = x^2 - 3x - 3x + 9\\\\(x-3)^2 = x^2 - (3+3)x + 9 = x^2 - 6x + 9[/tex]
(coefficients of like terms were added)
Thus, the product result of given expression is
[tex]x^2 - 6x + 9[/tex]
Learn more about product of polynomials here:
https://brainly.com/question/9106484
Answer:
x^2 - 6x + 9
Step-by-step explanation:
Hope this helps! :D
Given sin 0 and angle 0 is in Quadrant II, what is the exact value of cos 0 in
simplest form? Simplify all radicals if needed.
sin = 3/7
1 = sin²0 + cos²0
cos²0 = 1 - 9/49
cos²0 = 40/49
cos0 = √(40) / 7
since its in Quadrant 2 the sin is positive and cos is negative
cos0 = - √(40) / 7
Quincy uses 2 cups of vinegar in his salad dressing recipe. How much vinegar would Quincy use to make 1/2 of a recipe?
Please help me math and Thanks
Answers:
Point in the original figure: (-7, 3)
Point in the final figure: (-2, 3)
===============================================
Explanation:
To translate 5 units to the right, we add 5 to the x coordinate. The y coordinate stays the same.
The symbolic way to write the rule would be to say [tex](x,y) \to (x+5, y)[/tex]
The original point is at (-7, 3). We add 5 to the x coordinate -7 to get -7+5 = -2. The y coordinate is 3 the whole time for both points.
That's how we go from (-7,3) to (-2,3)
Answer:
give examples and word for word equation
what is 143x 69 PLS ANSWER ASAP
Answer:
Step-by-step explanation:
143x 69
Divide 143 to both sides
143x = 69
--------------- = 2.07
143 143