Answer:
f(6) = g(3)
Step-by-step explanation:
Which statement is true regarding the functions on the graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
Solution:
g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:
g(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]
f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:
f(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]
f(6) = x-3 = 6 - 3 = 3
g(3) = x + 3 = 3 + 3 = 3
f(6) = g(3)
Use the point (0, 500)and (6, 740) to write an equation for the best line of best fit
Answer:
y = x(40) + (500)
Step-by-step explanation:
slope = 40
y-in.. = 500
slope =
500 - 740 = -240
_______
0 - 6 = -6
slope = 240/6 or 40
HELP PLEASEE! A family of four decides to buy a new computer that they will all share the computer cost them 1250 which means it will reduce the household budget by -1250 if there’s cost gets shared equally across all four family members how much does each person end up paying?
Answer:
$ 312.5 each member.....
Answer:
Each member of the family should pay 312.5Step-by-step explanation:
You should only divide 312.5 by 4 = 312.5I hope I helpedJust read and answer me
Answer:
the picture isnt showing up on mines
Someone help me plsss with my math work. the teacher said its eliminating method but i dont understand it.
8a+3b=27
29-5b=1
Adult giraffe weights are normally distributed, with a mean of 1,800 pounds and a standard deviation of 400 pounds. Approximately what percentage of the adult giraffes weigh more than 2,200 pounds? Choose the best answer.
- 84.13%
- 8.41%
- 1.59%
- 15.87%
Answer:
15.87%
Step-by-step explanation:
I picked randomly and got it right xD
Answer:
15.87%
Step-by-step explanation:
Just look lol
Would appreciate it if anyone answered this for me :D
Please helpp!!
A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent? What percent discount does this represent from the original price? Round to the nearest whole percent.
Answer:
2
Step-by-step explanation:
Right answer gets brainlist
Please help me with this question I need the answer
Answer:
I think the answer is A
Step-by-step explanation:
Answer:
First of all A and B are Letters not numbers...
Answer: a-b
Step-by-step explanation:
What is the area of this figure?
EXPERTS CALLIND ALL EXPERTS!!! What is 1/4+b=3/4
Answer:
56
Step-by-step explanation:
78
please help my mom is gonna hit me if i don't get it right.
the answer is NOT 18
Answer:
Lol I hope she didn't hit you yet. The answer is x=14 :)
Step-by-step explanation:
So the first thing that you would want to do is find what 9 is multiplied by to get 21. To do this, we can just do a simple algebraic equation: 9x=21. The answer is 7/3 because mAgIc. So now, we can also multiply 6 by 7/3. this would be 42/3 because of more MaGiC. 42/3 divides into 14 because im just obviously a mage. lol I hope this helped.
helpp meee pleaseeee
Answer:
I think its b:/ srry if I'm wrong
Find the supplementary of an angle that measures 110°
85°
70°
73°
67°
Step-by-step explanation:
The two angles should measure 180°. So 180 - 110 = 70. So the correct answer is 70°.
La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.
Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.
PLEASE HELP AND SHOW WORK
3(x-6)
it says too expand and simplify it plz help
Answer:
3x-18
Step-by-step explanation:
To expand this you must use the distributive property to distribute the 3. Using this property you can multiply the x and -6 by 3. So the expanded equation would first look like x*3 + -6*3. Then simplify to get 3x-18.
Answer:
3x-18 expanded
Step-by-step explanation:
x-6 simplified
use the distributive property to expand the expression
3*x= 3x
3*-6=-18
to simplify,
find the GCF and solve
gcf= 3
3x/3=1x or just x
-18/3=-6
hope this helps
please mark brainliest
PLZ HELP ME
look at the picture above
In the following equation the letter x is known as the:
3x+1=10
Answer: X = 9
Step-by-step explanation:
First, Take 1 away from 10. 10 - 1 = 9. Then divide 9 by three. 9 divided by three is 3, so X = three.
The Hawkins family spends $600 per month on groceries for their family. If this is 15% of their monthly budget, then what is their monthly budget
Answer:
Step-by-step explanation:
Hi!
We will find the monthly budget using proportions, like this:
15% = 0,15___________600$
100% = 1_____________x$
__________________________
x = (600*1)/0,15
x = 600/0,15
x = 4000
Their monthly budget is 4000$.
Hope this helps!
Answer:
510
Step-by-step explanation:
16% off of 600 = 510
60% of the teachers completed the last survey sent out from the school. If 30 teachers completed the survey, how many total teachers are at the school?
Answer:
50
Step-by-step explanation:
Let the number of teachers is t.
60% of t is 30
0.6t = 30
t = 30/0.6
t = 50
The GCF of 18 and a number is 6. Which of the following could be the number?
A.28
B.15
C.21
D.24
Answer: D) 24
===============================================
Explanation:
Find the prime factorization of each value given
28 = 2*2*715 = 3*521 = 3*724 = 2*2*3Of the four choices, only 24 has 2*3 = 6 as a factor. Something like 15 doesn't have 6 as a factor, so there's no way the GCF of 15 and 18 is equal to 6.
Focusing on 24 and 18, we see that
24 = 6*418 = 6*3which shows that 6 is the GCF of 24 and 18.
Use synthetic division to find the quotient if polynomial P(x) = x3 – 7x + 6 is divided by x – 2.
Question 17 options:
A)
x2 – 2x + 3
B)
x2 – 2x – 3
C)
x2 + 2x – 3
D)
x2 + 2x + 3
Answer:
C.) [tex]x^2+2x-3[/tex]
Step-by-step explanation:
They give us the function; [tex]P(x)=x^3-7x+6[/tex], which is then divided by the binomial, [tex](x-2)[/tex].
We can use polynomial synthetic division to solve this! First, let's understand how we must use it properly.
As we can tell from the function [tex]P(x)=x^3-7x+6[/tex] , there is an exponent value of 3, and an "invisible" exponent of one on -7x. When doing the synthetic division, we must put in a zero before we introduce the term '-7x' in our process of division.
The binomial [tex](x-2)[/tex] tells us that we are dividing the function by that, but we have to take the opposite value of the integer value, and here's why.
[tex](x-2)=0[/tex]
If we are trying to solve for 'x' here, we have to add plus sides by two, and we get x=2. That is what we have to put on the left side of the synthetic division we will use, we are essentially stating that one of the root/solution(s) to the function is 2, and we get verification of that when the synthetic division results in zero towards the end.
Then when the synthetic division has been done, since we are dividing by that binomial, we take out the values that we know already, which are '1', '2', and '-3', and take away one power of exponent to each of them (if applicable)
Thus, leaving us with our answer, [tex]x^2+2x-3[/tex].
The required quetient of the given expression is x² - 2x -3. Options C is correct.
What is synthetic division?It is a method for performing division of polynomials, with little writing and lesser calculations than complex division.
here,
synthetic division is given as,
put divisor equal zero,
x - 2 = 0 so x = 2
Now,
Arranging the division with zero and coefficients and constant of the expressions,
2 | 1 0 -7 6
+ 2 4 -6
----------------------------
1 2 -3 0
So, the question, by synthetic division is given as x² + 2x -3.
Thus, the required quetient of the given expression is x² - 2x -3. Options C is correct.
Learn more about synthetic divisions here:
brainly.com/question/11850611
#SPJ2
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each of his customers buys 2 items. Let c represent the number of additional customers Joshua must have to meet his goal Joshua needs to have more than ? Area additional customer to meet his goal.
Answer:
More than 7
Step-by-step explanation:
Given that:
Joshua's goal is to sell more than 20 items at a farmer's market.
Number of items already sold = 6
So, number of more items to be sold > Total number of items to be sold - Number of items already sold > 20 - 6 > 14
Given that each customer buys 2 items.
Let [tex]c[/tex] be the number of customers.
So, number of items bought be the customers = Number of items bought by each customer multiplied by the number of customers = [tex]2c[/tex]
And as per the question statement,
Number of more items to be sold > 14 (as calculated in above step)
[tex]2c>14\\\Rightarrow \bold{c>7}[/tex]
Therefore, the answer is: More than 7 additional customers are required.
Please help me with this .
Answer:
x=4
Step-by-step explanation:
It's a parallel line so the equation is
100+19x+4=180
19x=180-100-4
19x=76
x=76/19
x=4
Answer: x = 4
Step-by-step explanation: The 2 angles are same-side interior angles, which are supplementary, and supplementary angles add up to 180, so we know that 19x + 4 = 80.
- 4. -4
19x = 76
/19. /19
X = 4
Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?
Answer:
The prepaid phone plan will have a steeper line and lower y-intercept.
I hope this is right
Step-by-step explanation:
prepaid phone plan y = .20x
contracted phone plan y = .02x + 50
Answer:
A (The prepaid phone plan will have a steeper line and lower y-intercept.)
Step-by-step explanation:
help me please!!!!!!!!!!!!!!
I'm a little rusty lol but I believe that is C, the distributive property.
Answer:
Distributive Property
Step-by-step explanation
You first ditribute the 6 to the 4x and -1.
ca someone solve 8 = b - 1 + 8b STEP BY STEP PLEASE.
Answer:
b = 1
Step-by-step explanation:
8 = b - 1 + 8b
combine like terms
8 = 9b - 1
add 1 to both sides of the equation
8 + 1 = 9b - 1 + 1
8 + 1 = 9b
9 = 9b
divide both sides of the equation by 9
9/9 = 9b/9
1 = b
Answer:
b = 1
Step-by-step explanation:
Given
8 = b - 1 + 8b, that is
8 = 9b - 1 ( add 1 to both sides )
9 = 9b ( divide both sides by 9 )
1 = b
A freezer can be bought on hire purchase by making a desposiy of 15% of the cash price which is $2975 the interest which is 20% of the outstanding balance is charged the amount payable is paid in 12 monthly instalements.Calculate the freezer
Answer: See explanation
Step-by-step explanation:
a. The deposit
= 15% × $2975
= 15/100 × $2975
= 0.15 × $2975
= $446.25
b. The hire purchase price
Outstanding balance = $2975 - $446.25 = $2528.75
20% of outstanding balance
= 20% × $2528.75
= 0.2 × $2528.75
= $505.75
Hire purchase price
= $2975 + $505.75
= $3480.75
c. The difference the hire purchase price and cash price
= $3480.75 - $2975
= $505.75
d. The difference as a percentage of the cash price.
= ($505.75 / $2975) × 100
= 0.17 × 100
= 17%
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
O (3,-4)
O (-3,-4)
0 (-4,-3)
O (-4.3)
We can use the equation of tangent as a structure.
[tex]y - f(a) = f'(a)(x - a)[/tex]
Our f(a) is y-point and Our a is x-point..
Looking back at the equation, our f(a) would be 3 and a would be - 4
Therefore the answer is (-4,3)
Liam had \$250$dollar. Then, he and his classmates bought a present for their teacher, evenly splitting the \$ p cost among the 24
of them.
Answer:
20
Step-by-step explanation: