Answer:
See below.
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=5x+4\text{ and } g(x)=-2x+1[/tex]
1)
First, find the values of each function:
[tex]f(x)=5x+4\\f(6)=5(6)+4\\f(6)=30+4=34[/tex]
[tex]g(x)=-2x+1\\g(-8)=-2(-8)+1\\g(-8)=16+1=17[/tex]
Therefore:
[tex]f(6)+g(-8)\\=(34)+(17)=51[/tex]
2)
Plug in the number into the function:
[tex]g(x)=-2x+1\\g(4)=-2(4)+1=-8+1=-7[/tex]
3)
Like the last one:
[tex]f(x)=5x+4\\f(-2)=5(-2)+4=-10+4=-6[/tex]
Find the GFC of 20 and 16
The population of a town increases 10% every 3 years if the present population is 72600 calculate its population after 6 years and 6 years ago
Answer:
After 6 years = 87120 people.
Before 6 years = 5808 people.
Step-by-step explanation:
To calculate how many populations that are added in every 10% in 3 years:
72600 × 10/100 = 7260
After 6 years = 72600 + 7260 × 2 = 87120 people.
Before 6 years = 72600 - 7260 × 2 = 5808 people.
The total cost of 2 bracelets and 3 necklaces is $15.50. The total cost of 4 bracelets and 1 necklace is $13.50. Let b represent the cost of each bracelet and n represent the cost of each necklace. This situation can be represented by the following system of equations.
{2b+3n=15.504b+n=13.50
What is the cost of one bracelet?
A
$2.50
B
$7.75
C
$5.00
D
$3.50
Answer:
A
$2.50
Step-by-step explanation:
b = cost of bracelet
n = cost of necklace
2b+3n = 15.50
4b+1n = 13.50
Multiply the first equation by -2
-4b -6n = -31
4b +n = 13.50
---------------------------
-5n = -17.50
Divide each side by -5
-5n/-5 = -17.5/-5
n = 3.50
Now we can find b
4b+n = 13.50
4b+3.50 = 13.50
4b+3.50-3.50 = 13.50 -3.50
4b = 10
Divide by 4
4b/4 = 10/4
b = 2.50
One stool rocks slightly from side to side on your kitchen floor. Which of the two stools could this possibly be? Explain your answer Choices: 3 legged stool, 4 legged stool
Answer:
The four legged stool is the one that rocks slightly from side to side. The three legged stool does not.
Step-by-step explanation:
The four legged stool is the one that rocks slightly because the three legs determine a plane, and the three legs are stuck on that single plane.
The mason will build a wall that uses 36 bricks in each row. The wall will be 140 rows high. Each brick weighs 4 pounds. What is the total weight of all the bricks?
Answer:
20,160 pounds
Step-by-step explanation:
bricks in each row * number of rows * pound of each brick
Answer:
20160 lbs
Step-by-step explanation:
To find the amount of bricks, multiply 36 by 140 which equals 5040. Then, multiply 5040 by the weight: 4. 5040×4=20160
Scarlett made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with angle AD on the scaled copy of the quadrilateral? Choose 2 answers.
Answer:
Step-by-step explanation:
First of all AD is 9 units long. Anything less than or equal to 9 is not an answer because the scale factor is greater than 1. That means that anything over 9 will work.
So the answer must be 12 or 15 from those answers given.
Answer:
Answer
Step-by-step explanation:
The answer is 12 AND 15
D and E
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 61 and standard deviation of 9.8 grams per mililiter. a. What is the probability that the amount of collagen is greater than 60 grams per milliliter
Answer:
45.94%
Step-by-step explanation:
Probability-Above 45.94%
Z =0.1
x= 61
µ 60
σ 9.8
Find the equation of the line with a slope of − 1/2 through (4, 5)
Answer: Hello:
Slope - intercept form is y = mx + b.
Since -1/2 is your slope and 5 is your y - intercept, all you need to do is substitute those values into the equation:
y = -1/2 + 5
Hope this helps!
how to find y in this equation 11=12-14y
Lily deposited $19 in a savings account that earns 1.3% simple interest. Which graph represents this scenario?
Answer:
the total amount (balance) after x years with a principal of $19 and with simple interest of 1.3% is given by:
balance(x) = 19(1+0.013x)
Calculate for two values of x (for example x=0, balance = 19(1+0)=$19
and choose the graph that fits both points.
Step-by-step explanation:
what is the answer to 4.7 x 10^-8
Answer:
0.000000047
Step-by-step explanation:
When dividing exponents with the same base, what operation do we use
with the exponents? (the quotient rule)
Answer:
To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.Quotient Rule: , this says that to divide two exponents with the same base, you keep the base and subtract the powers. This is similar to reducing fractions; when you subtract the powers put the answer in the numerator or denominator depending on where the higher power was located.
Step-by-step explanation:
Hope it helps please mark me as the brainliest
Geometry, please answer question ASAP
Answer:
C) 81 degrees
Step-by-step explanation:
all quadrilateral's sum of interiror angles is 360 degrees
right angles are 90 degrees
call measure of angle C =y
360=90+90+99+y
180=99+y
y= 81
what is the solution to the equation x² = 16?
Answer:
x = 4, x = -4
Step-by-step explanation:
Step-by-step explanation:
Move terms to the left side
2=16
x^{2}=16x2=16
2−16=0
Use the quadratic formula
Simplify
Evaluate the exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers
=0±82
2
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
=0+82
x= 0 + 8 over 2
=0−82 over 2
Rearrange and isolate the variable to find each solution
=4
x=4x=4
ans =−4
helpppppppppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Use the difference of squares identity to write this polynomial expression in factored form : 9x^2-49
Answer:
The expression in factored form is (3x - 7)(3x + 7)
Step-by-step explanation:
Here in this question, we are interested in using the difference of two squares to factor the given expression.
Mathematically, supposed we have two squares a^2 and b^2, and we are told to factorize a^2-b^2.
By using the difference of two squares;
a^2-b^2 can thus be written as;
(a-b)(a + b)
Now, we can apply same approach to the problem at hand.
9x^2 - 49
kindly note that 9x^2 can be written as ((3x)^2 and 49 can be written as 7^2
So applying what we have said earlier about difference of two squares;
9x^2 - 49 will be ;
(3x-7)(3x + 7)
Answer:
The answer is (3x - 7) (3x +7)
Step-by-step explanation:
An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far she throw her javelin in total
Answer: 19 yards
Step-by-step explanation: 9.5x2=19
Simplify $\frac{3}{2 \sqrt 3 - 3}.$[tex]Simplify $\frac{3}{2 \sqrt 3 - 3}.$[/tex]
Answer:
[tex]2\sqrt{3}+3[/tex]
Step-by-step explanation:
[tex]$\frac{3}{2 \sqrt 3 - 3}$[/tex]
Rationalize the fraction.
[tex]$\frac{3}{2 \sqrt 3 - 3}\cdot \frac{2 \sqrt 3 + 3}{2 \sqrt 3 + 3} =\frac{6\sqrt{3}+9 }{12-9} =\frac{6\sqrt{3}+9 }{3} =2\sqrt{3}+3 $[/tex]
Note that I used the positive signal because we would have a difference of squares.
help me please pelase please
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
Answer:
Option D, 13.2
Step-by-step explanation:
m = √{7×(18+7)}
= √(7×25)
= 5√7
= 13.2 (rounded to the nearest tenth)
Bring the following fraction:
а/a-10
to a denominator of 10-a
Answer:
-a
-------
10-a
Step-by-step explanation:
a
----
a-10
Multiply the top and bottom by -1
-1*a
-------
-1(a-10)
-a
------
-a+10
Rewriting
-a
-------
10-a
Answer:
-a/(10-a)
Step-by-step explanation:
To get from a - 10 to 10 - a, you just have to multiply by -1.
So fi you multiply both the top and bottom by -1, you'd get -a/(10-a).
Find the value of x.
Answer:
x = 20
Step-by-step explanation:
Intersecting Chords Theorem: ab = cd
Step 1: Label our variables
a = x
b = x - 11
c = x - 8
d = x - 5
Step 2: Plug into theorem
x(x - 11) = (x - 5)(x - 8)
Step 3: Solve for x
x² - 11x = x² - 8x - 5x + 40
x² - 11x = x² - 13x + 40
-11x = -13x + 40
2x = 40
x = 20
Answer: x=20
Step-by-step explanation:
[tex]ab=cd[/tex]
[tex]x(x - 11) = (x - 5)(x - 8)[/tex]
[tex]x^2 - 11x = x^2 - 13x + 40[/tex]
[tex]x^2 - 11x = x^2 - 8x - 5x + 40[/tex]
[tex]-11x = -13x + 40\\2x = 40\\x = 20[/tex]
hello, can i please get some please on this one ASAP! i will mark as BRAINLIEST!!
Answer:
[tex](x+6)(x-6)[/tex]
Step-by-step explanation:
Hi there!
The difference of squares theorem states that [tex]a^2-b^2=(a+b)(a-b)[/tex].
We're given:
[tex]x^2-36[/tex]
This can be rewritten since 36 is a perfect square:
[tex]=x^2-6^2[/tex]
Use the difference of squares theorem:
[tex]=(x+6)(x-6)[/tex]
I hope this helps!
Answer:
(x-6)(x+6)
Step-by-step explanation:
x^2 -36
Rewriting
x^2 - 6^2
We know a^2 - b^2 = (a-b)(a+b)
(x-6)(x+6)
4 less than the product of 6 and the number
Answer:
6x - 4
Step-by-step explanation:
4 less than 6 times x
6x - 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
solve for x 16x - 5 = 18x -2
Answer:
x = -1.5
Step-by-step explanation:
16x - 5 = 18x -2
Subtract 16x from each side
16x-16x - 5 = 18x-16x -2
-5 = 2x-2
Add 2 to each side
-5+2 = 2x-2+2
-3 = 2x
Divide by 2
-3/2 = 2x/2
-3/2 =x
Answer:
-3/2
Step-by-step explanation:
To solve this problem, start by moving all of your x's on to one side, and all of your constants on to the other as such:
16x-5=18x-2
+2 +2
16x-3=18x
-16x -16x
-3=2x
-3/2 = x
P.S. please give me brainliest. Thank you! :)
Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?
Answer:
The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.
Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.
Step-by-step explanation:
The error she made was that she was adding x and 2.75.
She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.
By using the correct equation: 8 (x - 2.75) = 78
=> 8x - 22 = 78
=> 8x = 78 + 22
=> 8x = 100
=> x = 100/8
=> x = 12.5
Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.
Hope this helps you.
Answer:
C
Step-by-step explanation: Nice
pleaseee answer this question quickly.. I will give brainliest MAKE SURE ITS RIGHT
Answer:
JKM is acute and MKL is obtuse
Step-by-step explanation:
because an acute triangle's interior angles are always 180° and an obtuse triangle's sum is greater than 90°
What is the value of |6x| - |- 2y| if x = - 3 and y= 5?
Answer:
8
Step-by-step explanation:
|6x| - |- 2y|
Let x = -3 and y = 5
|6*-3| - |- 2*5|
|-18| - |-10|
Taking the absolute values
18 - 10
8
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Paula ran a total of 12 miles over the course of 2 track practices. What is the unit rate?
A. 6 miles
B. 6 miles per practice
C. 4 miles per practice
D. 10 miles per practice
Answer:
B. 6 miles per practice
Step-by-step explanation:
12 miles over the course of 2 track practices divided by 2
12/2 = 6
6 miles per one track practice
Please help...25 points
Answer:
[tex]\huge\boxed{x = -\frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]f(x) = -12x+7[/tex]
Given that f(x) = 17
[tex]17 = -12x+7[/tex]
Subtracting 7 to both sides
[tex]17-7 = -12x[/tex]
10 = -12 x
Dividing both sides by 12
[tex]x = - \frac{10}{12}[/tex]
[tex]x = -\frac{5}{6}[/tex]
Answer:
-5/6 =x
Step-by-step explanation:
f(x) = -12x+7
We want to find x when f(x) = 17
17 = -12x+7
Subtract 7 from each side
17-7 = -12x +7-7
10 = -12x
Divide each side by 12
10/-12 = -12x/-12
-5/6 =x