First, we must find the slope of the line using slope formula*.
[tex]m = \frac{-5 - 1}{-4 - 4} = \frac{-6}{-8} = \frac{3}{4}[/tex]
Second, we now find the y-intercept, or b, using slope-intercept form, the slope we found, and one of the given points.
[tex]1 = \frac{3}{4}(4) + b\\\\1 = 3 + b\\\\-2 = b[/tex]
Lastly, we can now create the equation of the line.
[tex]m = \frac{3}{4}\\[/tex][tex]b = -2[/tex]The equation of the line that goes through the given points is C. [tex]y = \frac{3}{4}x - 2[/tex]
Use inductive reasoning to describe the pattern of the sequence. Then find the next two terms. 6, 24, 96, 384, ...
A. Multiply by 3; 672, 960.
B. Multiply by 4.5; 402, 420.
C. Multiply by 4; 1536, 6144.
D. Multiply by 3.5, 576, 764.
Answer:
1536 and 6144
Step-by-step explanation:
you are multiplying by 4
I hope this helps you to understands better
The next two-term of the sequence is 1536 and 6144 and the multiplicity is 4
Given the sequence of numbers expressed as 6, 24, 96, 384, ...
The given sequence is a geometric sequence. The nth term of the sequence is expressed as;
[tex]T_n = ar^{n-1}[/tex]
a is the first term
r is the common ratio or multiplicity
n is the number of terms
Given the following parameters
a = 6
r = 24/6 = 96/24 = 4
n = 5 and 6 (5th and 6th term)
For the fifth term;
[tex]T_{5} = 6(4)^{5-1}\\T_5=6(4)^4\\T_5 = 1536[/tex]
For the sixth term;
[tex]T_{6} = 6(4)^{6-1}\\T_6=6(4)^5\\T_6 = 6144[/tex]
Hence the next two-term of the sequence is 1536 and 6144 and the multiplicity is 4
Learn more here: https://brainly.com/question/9300199
In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.
sin26∘≈0.44
cos26∘≈0.90
tan26∘≈0.49
What is the measurement of EF?
If necessary, round your answer to two decimal places, like this: 42.53
Compare your answer to the model. Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant. The rate of change, or constant of variation, is 0.5. What did your explanation include? a reference to the rate of change a reference to the ratio of y over x the constant of variation as 0.5
Answer: C
Step-by-step explanation:
Just did it
Jose is raising money for a school trip by selling lollipops and packs of cookies. The price of each lollipop is $1 and the price of each pack of cookies is $2. How much money would Jose raise if he sells 12 lollipops and 13 packs of cookies? How much money would Jose raise if he sells ll lollipops and pp packs of cookies?
Answer:
For the first question, he would raise $38.
Step-by-step explanation:
1 x 12 = $12
2 x 13 = $26
12 + 26 = $38
how many solutions to this problem
in my opinion i think there is twooo
i have no idea what this is.
Answer:
....
Step-by-step explanation:
Which of Earth’s spheres encompasses all of
Earth’s water?
a. the hydrosphere
b. the atmosphere
c. the asthenosphere
d. the geosphere
Answer:
The answer is A.
Step-by-step explanation:
All of earths bodies of water including groundwater. the hydrosphere also includes the cryosphere, which is made up of the worlds ice sheets and sea ice.
Answer:
a. the hydrosphere
Step-by-step explanation:
hydro means water
Chris is taking out a loan for $2500 with a simple interest rate of 7% for 36 months. How much interest will he have to pay at the end of the loan period? *
caculate the diffrence of 13.9-1.149
Answer:
12.751
Step-by-step explanation:
13.9 - 1.149
--Subtract--
Answer:
12.751
Step-by-step explanation:
Just do subtraction.
Which of these is a factor of 10?
A. 20
B. 2
C. 4
Answer:
B. 2
Hope this helps!
Step-by-step explanation:
The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10. 1 x 10 = 10, so 1 and 10 are also factors of 10.
Write an equation for the line in slope- intercept form. 2. Х -4 -2 o 2 4. -2 4
Answer:
y= -2x-3
Step-by-step explanation:
this is because the y intercept is at negative 3 and the rise over run is down 1 over 2
110 meters of fencing are used to fence a rectangular pasture of 750 square meters of farmland. If the length of the pasture is longer than the width, what is the width of the pasture in meters?
Answer:
25mStep-by-step explanation:
Perimeter of the rectangular pasture P = 2(L+W)
Area A = LW
L is the length
W is the width
Given
Perimeter = 110m
Area = 750m
If the length of the pasture is 40m longer than the width, then L = W+40
110 = 2L+2w
55 = L+W .....1
750 = LW.....2
Solving simultaneously
from 1; L = 55-W
substitute into 2;
750 = (55-W)W
750 = 55W-W²
-W²+55W -750 = 0
W²-55W+750 = 0
(W²-25W)-(30W+750) = 0
W(W-25)-30(W-25) = 0
(W-25)(W-30) = 0
W-25 = 0 and W-30 = 0
w = 25m and 30m
Since L = 55-W
L = 55-25 = 30m and;
L = 55-30 = 25m
Since we are told that length id longer than the width then, the width we are going to use is 25m
HELP PLS THIS IS A TEST QUESTION
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
Answer:
y<1/2+2
Step-by-step explanation:
Answer:
I think the answer is A because I learned about slope last year
Most graphs that show results of experimentation are _____ graphs.
can u pls help
Answer
A pie graph shows the percentage that one of the dependent variables makes up out of the whole of all of the results.
Answer: I do not know what they are called but I do believe you use them to analyze your data.
A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. (2 points)
Quantity
0-20 pairs
21-40 pairs
41-60 pairs
61-80 pairs
81 or more pairs
Wholesale Price
(per pair)
$25.00 each
$23.00 each
$21.00 each
$19.00 each
$17.00 each
What is the quantity of pairs and how much are they each pair??
Answer:
They buy at wholesale and sell at an 80% markup. The retail prices are;
0 - 20 pairs.
= 25 * 1.80
= $45.00
21 - 40 pairs
= 23 * 1.80
= $41.40
41 - 60 pairs
= 21 * 1.80
= $37.80
61 - 80 pairs
= 19 * 1.80
= $34.20
81 or more pairs
= 17 * 1.80
= $30.60
HELPPPPPPP PLS MATH!! MKARKING BRAINNIEST!!!!!!!!!!
4/10 times (7/8+9/4) 5/7
Answer: simplified down to 25/28 or 0.89 / / 0.9 rounded up
Hello! please help ASAP ‼️
Determine if the ordered pair (1,-3) is a solution to the system of equations below:
y = x - 4
y = 9x - 12
Answer:
Yes, it is a solution
Step-by-step explanation:
(x,y) (1,-3)
a. Plug in x:
y= 1-4
y = -3 yes this is correct as -3 is on y.
b. Plug in X.
y=9(1)-12
y=9-12
y=-3 yes this is also correct as this also is -3 for y.
I will give brainliest
A. 2x-1+3x=0
B. 5x-1=0
1) How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract the same quantity to/from both sides
(Choice B) Add/subtract a quantity to/from only one side
(Choice C) Rewrite one side (or both) by combining like terms
(Choice D) Rewrite one side (or both) using the distributive property
524800 in scientific notation?
Answer:
5.248 x 10^5
Step-by-step explanation:
there should be one digit and then however many decimals after. the exponent is positive because the original number is larger than one's digit.
20 points
Need help ASAP!!!!!!!
Answer:
I can't see the assignment question. It says there is nothing attached...
Step-by-step explanation:
CAN SOMEONE HELP ME WITH PATTERN 1
Write an equation that is perpendicular to the line 8x-4y=12 and pass through the origin
Find m such that parabola p is completely above the x axis
p↔y = mx^2 + 2x + 1
Answer:
M=-2x+y-1 / x2
Step-by-step explanation:
Please help me out!
Answer: C Its a non-perfect Square.
Please help me my homework is due tomorrow use the screen shot
Answer:
1/5
Step-by-step explanation:
(5^7*5^5)/5^13 (when multiplying numbers with the same base, add the exponents)
= (5^12)/5^13 (when dividing exponents with the same base, subtract the exponents)
= 1/5^1 (anything to the first power is itself)
= 1/5
Consider the conditional statement of N is the midpoint of CD then CD =2CN what is the hypothesis
Answer:
Step-by-step explanation:
If N is the midpoint of CD, it means that N bisects the line CD. Hence;
CN + ND = CD .... 1 and;
CN = ND .... 2
Substitute equation 2 into 1;
CN + CN = CD
2CN = CD
Rearrange;
CD = 2CN (proved)
The hypothesis is the midpoint hypothesis and the hypothesis is TRUE
A police car is approaching a right-angled intersection from the north at 35 mph, and a speeding car is heading east at 30 mph. When the police car is 0.75 miles north of the intersection and the speeding car is 1 mile to the east, what is the rate that the distance between the police car and car is changing?
Answer:
The rate that the distance between the police car and car is changing = 3 m/s
Step-by-step explanation:
The given speed of the police car = 35 mph
The speed of the speeding car = 30 mph
The position of the police car = 0.75 miles north
The position of the speeding car = 1 miles east
The distance of the police car from the speeding car, d = √(0.75² + 1²) = 1.25
d² = x² + y²
2d·dd/dt = 2x·dx/dt + 2·y·dy/dt
Where;
dx/dt = 30 mph
dy/dt = -35 mph
x = 1
y = 0.75
Substituting gives;
2×1.25 ×dd/dt = 2×1×30 - 2×0.75×35
2×1.25 ×dd/dt = 7.5
dd/dt = 7.5/2.5 = 3
dd/dt = 3 m/s
The rate that the distance between the police car and car is changing = dd/dt = 3 m/s
Answer:
The answer is increasing by 3 mph
Step-by-step explanation:
Does this table represent a function ? Why or why not
A local charity is selling seats to a baseball game. Seats cost $20 each, and snacks cost an additional $6
each. The charity needs to raise $562 to consider this event a success,
Enter a linear equation that describes the problem.
An equation for the amount of money raised for charity is
seats sold, and y is the number of snacks sold.
= $562, where s is the number of seats sold, and y is the number of snacks sold
Answer:
delet
Step-by-step explanation:
Answer:
Above
Step-by-step explanation:
20s+6y=562