Answer:
[tex]y = 3x +4[/tex]
Step-by-step explanation:
Given
[tex]m = 3[/tex] --- slope
[tex](x,y) = (-2,-2)[/tex]
Required
Determine the equation and plot the graph
The formula for the equation is:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 3(x - (-2)) - 2[/tex]
[tex]y = 3(x +2) - 2[/tex]
Open bracket
[tex]y = 3x +6 - 2[/tex]
[tex]y = 3x +4[/tex]
See attachment for graph
There are 80 balloons used
to make 20 identical gift
baskets. What is the unit
rate in balloons per gift
baskets?
Answer:
4 gallons per gift basket
Step-by-step explanation:
20 x 4 = 80
Tyler has $125.00 to spend on books and CDs. He buys one book for $30.00. He wants to spend the rest on CDs that are on sale for $9.00 each. Which of these statements is true?
a.He can't buy any CDs.
b.He can buy 11 CDs.
c.He can buy more than 11 CDs.
d.He can buy 10 CDs.
Answer:
d. He can buy 10 CDs
Step-by-step explanation:
The reason he can only buy 10 is because if the CDs are $9.00 each then you would multiply:
10 x 9 = $90.00
If you add the $30.00 of books:
$90.00 + $30.00 = $120.00
This means he does not have enough money to buy another CD. He has $5.00 left over.
Use the properties of
addition to simplify:
2w + 2 - 98 + 4w-r
Answer:
−r+6w−96
Step-by-step explanation:
Answer
-r+6w-96
Step-by-step explanation:
find all possible values of x if these represent side of a triangle 2x,5-x,4
Answer:
-1/3 < x < 3 or x = (-1/3, 3)Step-by-step explanation:
Given sides of a triangle:
2x, 5 - x, 4Triangle inequality theorem:
Any side is smaller than the some of the other two.Apply to the given triangle:
2x + 5 - x > 4 ⇒ x > -12x + 4 > 5 - x ⇒ 3x > -1 ⇒ x > -1/35 - x + 4 > 2x ⇒ 3x < 9 ⇒ x < 3Combine all the inequalities:
-1/3 < x < 3x = (-1/3, 3)I need help with solving systems of linear equations through elimination.
1.) 8x = 3y + 38
24= 6y + 9x
a. all real numbers
b. (4,-2)
c. (4,-4)
d. (6,3)
2.) 6 = 2x + y
7x = 3 - 3y
a. (15,-36)
b. (-5,6)
c. (0,0)
d. (-15,36)
3.) 11x = 5 + 10y
7y = -2x +45
a. (-5,10)
b. (5,5)
c. (14, -4)
d. No solution
Answer:
See explanation
Step-by-step explanation:
8x = 3y + 38
24= 6y + 9x
Rearrange;
3y - 8x = -38 * 2 -------(1)
6y + 9x = 24 * 1 -------(2)
6y - 16x = -76 -------(3)
6y + 9y = 24 -------(4)
Subtract (4) from (3)
-25y = -100
y= 100/25
y = 4
Substitute y =4 into(1)
3y - 8x = -38
3(4) - 8x = -38
12 -8x = -38
-8x = -38 - 12
x = 50/8 = 6 2/8
2) 6 = 2x + y
7x = 3 - 3y
Rearrange;
2x + y = 6 * 3 --------(1)
7x + 3y = -3 * 1 --------(2)
6x + 3y = 18 ---------(3)
7x + 3y = -3 ---------(4)
Subtract (4) from (3)
-x = 21
x = -21
Substitute x = -21 into (1)
2x + y = 6
2(-21) + y = 6
-42 + y = 6
y = 6 + 42
y = 48
3)
11x = 5 + 10y
7y = -2x +45
Rearrange
11x - 10y = 5 * 2 ---------(1)
2x + 7y = 45 * 11 ---------(2)
22x - 20y = 10 --------(3)
22x + 77y = 495 --------(4)
Subtract (4) from (3)
-97y = -485
y = 5
Substitute y =5 into (1)
11x - 10y = 5
11x - 10(5) = 5
11x - 50 = 5
11x = 5 + 50
11x = 55
x = 55/11
x = 5
what is 8.45 rounded to the nearest tenth? A 8.0 B 8.4 C 8.5 or D 9.5
Answer:
C
Step-by-step explanation:
Since its a 5, you round up. if it is 5 or above, you round the number upwards, when 4 or below, is downwards.
Answer:
C.8.5
Step-by-step explanation:
help me out not all just what you can
9514 1404 393
Answer:
1e. 2t² +8t -6
2h. a² +2ab -3b²
3b. 8r +4
4b. 6x +4y -11
5b. e -3
Step-by-step explanation:
1e. Combine like terms.
(3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6
= 2t² +8t -6
__
2h. (2a² +3ab -4b²) -(a² +ab -b²)
Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.
= 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)
= a² +2ab -3b²
__
3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.
P = (4r -2) +2(2r +3)
P = 4r -2 +4r +6 . . . . . . eliminate parentheses
P = 8r +4 . . . . . . . . . . . . combine like terms
__
4b. (3x +4y) +(5x -8) -(2x +3)
Note that the distributive property changes the sign of all terms in the last parentheses.
= 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses
= x(3+5-2) +y(4) +(-8-3) . . . group like terms
= 6x +4y -11
__
5b.
Bill's age - Erin's age = (2e-3) -(e) = e -3
The difference in their ages is (e -3).
?????????????????????????
Explain answer !!
( WILL GIVE BRAINLEST)
Answer:
B
Step-by-step explanation:
Cross product.
3xy= 3y
4x6= 24
3y/3
24/3= 8
In a certain town in 90 minutes 1/2 inch of rain falls continues at the same rate for a total of 24 hours which of the following statements are true about the amount of rain in the 24 hour.
Answer:
A. 16 times of 1/2 inch of rain
Step-by-step explanation:
24 hours = 1440 minutes
90 minutes = 1/2 inch of rain
1440 divided by 90 = 16
16 times of 1/2 inch of rain
The _____ ______ describes what is happening to the function as x goes to infinity in each direction.
1. remainder theorem
2. function degree
3. lead coefficient
4. end behavior
Answer:
4: “End Behavior”
Step-by-step explanation:
The end behavior of a function “f ” describes the behavior of the graph of the function at the “ends” if the x-axis.
In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞) and to the left end of the x-axis (as x approaches -∞).
Which property is being demonstrated? 7³. 7⁵ =7³+⁵= 7⁸
Answer:
Step-by-step explanation:
Multiplying powers with same base
13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3
Step-by-step explanation:
f(g(x))
= f(4x)
= (4x) - 3. (A)
Step-by-step explanation:
option A is the correct answer according to my opinion .
plz mark my answer as brainlist if you find it useful.
complete the exponent chart
I'll do the first 6 rows to get you started.
===========================================
In row 1, we have the number [tex]2^3[/tex] which is the same as writing 2^3
The base is 2 and the exponent is 3. Think of "base" as in "basement" to remember that the base is under the exponent. The exponent tells us how many copies of the base to multiply out. In this case, we have three copies of the base "2" multiplied to get 2*2*2 = 8
============================================
In row 2, we have the number 3^2. The base is 3 and the exponent is 2.
We can say 3^2 = 3*3 = 9. We have two copies of the base multiplied. Think of a 3 inch by 3 inch square that has area of 9 square inches.
============================================
Row 3:
The number 5^4 means 5^4 = 5*5*5*5 = (5*5)*(5*5) = 25*25 = 625
The base is 5 and the exponent 4 tells us how many copies of the base to multiply.
============================================
Row 4:
We aren't given the number like in the earlier rows. But we can see that the base is 6 and the exponent is 2. So the number to fill in that first blank is 6^2
The expanded notation would be 6*6 because the exponent tells us how many copies of the base to multiply out.
The standard notation is 36 because 6*6 = 36.
============================================
Row 5:
This time we don't have an exponent, but we have the base and we have the expanded notation.
The expanded notation of 8*8*8 means the base is 8 and the exponent is 3
So 8^3 = 8*8*8 = 512
We'll have 8^3 to fill in the first blank of row five, 3 fill in the next blank, and finally 512 fill in the last blank.
============================================
Row 6:
We have six copies of '9' multiplied together
This tells us we have the number 9^6. The base is 9 and the exponent is 6
Use your calculator to determine that 9^6 = 9*9*9*9*9*9 = 531441
============================================
I'll let you do the rest of the remaining rows.
WHAT ARE THE PRINCIPALS PLEASE HELP ME!
You have 2 different savings accounts. For Account A, the simple interest earned after
6 months is $4.63. For Account B, the simple interest earned after 21 months is $16.80. If the interest rate is 3.7% for Account A and 2.4% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal or initial amount of money invested.
R represents interest rate
T represents time
Considering the investment on account A,
I = $6.94
R = 3.7%
T = 9 months = 9/12 = 0.75 years
6.94 = (P × 3.7 × 0.75)/100 = 0.02775P
P = 6.94/0.02775 = $250
Considering the investment on account B,
I = $13.80
R = 2.3%
T = 18 months = 18/12 = 1.5 years
13.8 = (P × 2.3 × 1.5)/100 = 0.0345P
P = 13.8/0.0345 = $400
To determine the account that earned more interest in the first month,
250/9 = $27.8
400/18 = $22.2
Account A earned you the most interest the first month because $27.8 is higher than $22.2
I need help with this please help me :(
Answer:
6 additional toppings
Step-by-step explanation:
14+1.75= 15.75
15.75+1.75=17.5
17.5+1.75=19.25
19.25+1.75=21
21+1.75=22.75
22.75+1.75=24.5
Write an equation in standard form that has a slope of - and a y-intercept of -2.
Y +
Review progress
Question 2
of 12
Answer:
y= 3x-2
Step-by-step explanation:
standard form
y= mx + c
c represents y intercept
m represents slope or gradient
y= 3x-2
The slope is 3 and the y intercept in -2
100 POINTS! MUST EXPLAIN ANSWER!
which diagram has COMPLEMENTARY and ADJACENT angles?
Answer:
[tex] \huge \boxed{ \boxed{ \mathbb C}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:complementary Angeleadjacent anglestips and formulas:Two angles are Complementary when they add up to 90 degreesTwo angles are Adjacent when they have a common side and a common vertex and don't overlap.[tex]\text{according to the given shapes the answer is C}[/tex]
Answer:
Option C
Step-by-step explanation:
Because the whole angle mentioned is 90°
Sum of the two angles is 90°They are complementary
Also they has one common bisector so they are adjacent
Simplify the expression by combining like terms: 3x^2 + 12x+11+14x^2+8x+5
Answer:
Step-by-step explanation:
Like terms have same variables with same exponents
3x² + 12x + 11 +14x² + 8x + 5
= 3x² + 14x² + 12x + 8x + 11 + 5
= 17x² + 20x + 16
Michael has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 8.5 points for each visit to the movie theater. He needs at least 165 points for a free movie ticket. What is the least number of visits he needs to make in order to earn a free movie ticket?
Answer
The true least number of visits is the lowest whole number above 11.176470..., which is 12.
Step-by-step explanation:
points per visit, # of visits + sign-up points ≥ free tickets points
8.5 (points per visit)
70 (# of visits)
165 (free ticket points)
8.5v ≥ 70 + 165
70 + 8.5v ≥ 165
8.5v ≥ 165 -70
8.5v/8.5v ≥ 95/8.5
v ≥ 11.1764705882
The true least number of visits is the lowest whole number above 11.176470..., which is 12.
Answer:
A
tyler has a points card for a movie theater.
he receives 75 rewards points just for signing up.
• he earns 10.5 points for each visit to the movie theater.
he needs 180 points for a free movie ticket.
.
a
how many visits must tyler make to earn a free movie ticket?
Step-by-step explanation:
Is (4, 2) a solution to the equation y = x2 − 7x?
Answer:
not rlly
Step-by-step explanation:
you need more information to solve that type of equation
Answer: NO
Step-by-step explanation:
Given
y=x²-7x
Substitute the [solution] into the equation
y=x²-7x
2=(4)²-7(4)
2=16-28
2=-12
2≠-12
Therefore, (4, 2) is not a solution
Hope this helps!! :)
Please let me know if you have any questions
Three friends have their own cell phones, Brian has 4 more application programs on his phone than Henry has on his. Wes has two times
more programs on his phone than Brian has on his
Part A
Let x represent the number of application programs Henry has. Write an algebraic expression that represents the number of application
programs on each friend's cell phone.
Answer:
Step-by-step explanation:
There are 38 students in Mr. Reynolds math class and 20 are boys.If a student is selected at random what is the probability that a girl is selected?Give the answer as a fraction in simplest form.
Answer:
9/19
Step-by-step explanation:
if 20 students are boys, then the remaining students are girls. 38-20 = 18
There are 18 girl students.
18/38 can be simplified to 9/19
Answer:
9/20
Step-by-step explanation:
Which measurement is closest to the area of the border, or the shaded region of this figure in square inches?
F 72.0 in.2
G 22.5 in.2
H 67.0 in.2
J 49.5 in.2
Answer:
GGGGGGGGGGGGGGGGGGGGG
This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 6 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
Answer:
This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 6 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
Answer:
40g of butter
20g of sugar
60g of flour
Step-by-step explanation:
Hope this helps!;)
Find the midpoint of the segment with the following endpoints.
(8, 7) { and } (4, 3)
Answer:
(6, 5)
Step-by-step explanation:
midpoint ={ (8+4)/2, (7+3)/2}
(12/2, 10/2) = (6,5)
5. Solve the equation - 4(x - 1) + 6x = 2(17 -- x) for x.
Answer:
x = 15/2 or 7.5
Step-by-step explanation:
-4 (x - 1) + 6x = 2(17 - x)
First, distribute the -4 and 2, and remember that multiplying two negatives make a positive.
-4x + 4 + 6x = 34 - 2x
Combine like terms
2x + 4 = 34 - 2x
Subtract 4 from both sides
2x = 30 - 2x
Add 2x to both sides
4x = 30
Finally, divide both sides by 4
x = 15/2 or 7.5
Which ratio is equivalent to 10:4
5:2
14:6
1:4
3:6
Answer:
5:2
Step-by-step explanation:
10:4/2
5:2
Answer:
5.2
Step-by-step explanation:
divide 10:4 by 2 and you will get 5:2
Please hurry; Rajiv bought a rare stamp for $125. A function that models the value of Rajiv’s after t years is v(t) = 125 (1.05)t . What is the value of Rajiv’s stamp after 20 years?
a $131.25
b $331.66
c $2,625.00
d $3316.62
Answer:
C.
Step-by-step explanation:
the position of a weight suspended from a spring is defined by the following function s(t)=cos(2t). find the velocity at pi/12