Answer:
(7, 13/3)
Step-by-step explanation:
Given the expressions
y = 1/3x + 2 and the second line y = 4/3x - 5
Equating both expressions
1/3x + 2 = 4/3x - 5
1/3x - 4/3x = -5 - 2
-3/3x = -7
-x = -7
x = 7
Substitute x = 7 into any of the equations
Using y = 1/3 x + 2
y = 1/3(7) + 2
y = 7/3 + 2
y = (7+6)/3
y = 13/3
Hence the solution to the system of the equation is (7, 13/3)
Answer:
(7,13/3) is your answer, otherwise known as answer choice B.
Step-by-step explanation:
what is constant in graphing ?
Answer:
the constant is the number without an x attaches to it.
Ex:
y = 2x + 9
9 is a constant because it is not attached to any x
y = x^3 + 2x^2 + 10x + 19
19 is a constant because it is not attached to any x
Determine what type of model best fits the given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. none of these
B. quadratic
C. exponential
D. linear
Answer:
T = -t / 4 + T0 where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature
This is a linear equation in T and t
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
The given situation is linear equation in T and t. so option D is correct option.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
T = -t / 4 + T0
where t is the temperature in minutes elapsed.
T is the final temperature.
T0 is the initial temperature.
We need to find the type of model best fits the given situation.
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
Therefore, The given situation is linear equation in T and t. so option D is correct option.
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Make x the subject of the formula y=4x²-2
Step-by-step explanation:
y=4x²-2y+2=4x²√(y+2)/4=xx=√(y+2)/4hope it helps.stay safe healthy and happy....Sarah earned 45 1/2 dollars in 5 3/4 minutes. What is the unit rate in dollars per
minute?
Answer:
7 21/23 dollars per minute
Step-by-step explanation:
Total amount Sarah earns = 45 1/2 dollars
Time taken to earn = 5 3/4 minutes
What is the unit rate in dollars per
minute?
unit rate in dollars per
minute = Total amount Sarah earns / Time taken to earn
= 45 1/2 ÷ 5 3/4
= 91/2 ÷ 23/4
= 91/2 × 4/23
= (91 * 4) / (2 * 23)
= 364/46
= 7 42/46
= 7 21/23 dollars per minute
unit rate in dollars per
minute = 7 21/23 dollars per minute
Help Please!!!
Find The Lateral surface area of this cylinder
Answer:
LSA = 56.5 cm²
Step-by-step explanation:
LSA = 2πrh
LSA = 2π(3)(3)
LSA = 56.5 cm²
Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2).
Answer:
9x³ - 2x - 3
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(6x³ - 8x - 5) + (3x³ + 6x + 2)
Step 2: Simplify
Combine like terms (x³): 9x³ - 8x - 5 + 6x + 2Combine like terms (x): 9x³ - 2x - 5 + 2Combine like terms: 9x³ - 2x - 3What is the value of expression below when z=5? 5z−4
Answer:
21
Step-by-step explanation:
5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4
Answer:
21
Step-by-step explanation:
5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4
Suppose △ABC≅△LMN.
Which other congruency statements are correct?
Select each correct answer.
△BAC≅△MLN
△BCA≅△NML
△ACB≅△LNM
△CBA≅△M
if so then let's say just want to try am new MNL
Someone, please help me on this one
Answer:
D
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 4x² + 7x - 3 + 6x³ - 7x² - 5 ← collect like terms
= 6x³ - 3x² + 7x - 8
Answer:
D. (f + g )( x ) = 6x³ - 3x² + 7x - 8
Step-by-step explanation:
Given :-
f ( x ) = 4x² + 7x - 3.g ( x ) = 6x³ - 7x² - 5.To Find :-
( f + g ) ( x ).Solution :-
(f + g )( x ) = 4x² + 7x - 3 + 6x³ - 7x² - 5.
Arranging like terms.
(f + g )( x ) = 6x³ - 7x² + 4x² + 7x -5 - 3
Combine like terms.
(f + g )( x ) = 6x³ - 3x² + 7x - 8
What is the probability of rolling 2 standard dice which sum to 9?
Factor of 3x^3-x^2-20x-12
Answer:
(−3)(+2)(3+2)
Step-by-step explanation:
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(32+8+4)
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(+2)(3+2)
Estimate the sum of 7.2 + 7.3 + 6.9 + 6.8.
Answer:
28
Step-by-step explanation:
7.2 is rounded down to 7, 7.3 is rounded down to 7, 6.9 is rounded up to 7, and 6.8 is rounded up to 7. Then you can add 7+7+7+7 to get an estimation of 28.
ASAP please help meeeeeeeeeee
Answer:
Step-by-step explanation:
1/16 + 1/2 = 1/16 + 8/16 = 9/16
Please help as soon as possible.
Answer:
C = 37.6991
Step-by-step explanation:
The equation for the circumference of a circle is given: C = π · d
where, d is the diameter of the circle.
Plug in the value of d = 12 and use the π button on the calculator.
C = π · 12
C = 37.6991
The area of this rectangle is 3x2. What does the coefficient 3 mean in terms
of the problem?
width x
length 3x
Answer:
the answer is 3x the width
What is the equation of the graph ? ILL pay
Answer:
Step-by-step explanation:
You have it right it is 6^x -3
You have the right idea, but you don't need to type in the "y=" portion since that is already taken care of. So you just need to type in -3 + 6^x
what is 3 over 4 divided by 1 over 6
in which figure , AB || CD . determine x
☝︎☝︎☝︎☝︎☝︎
[tex]{\underline{\fcolorbox{White}{yellow}{ANSWER♥︎}}}[/tex]See the attachment☝︎☝︎☝︎....Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?
Answer:
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Step-by-step explanation:
Let the cost of cake be C.Let the cost of pie be PC = 2P .....equation 1
4C + 2P = 20 .....equation 2
Substituting eqn 1 into eqn 2, we have;
4(2P) + 2P = 20
8P + 2P = 20
10P = 20
P = 20/10
Pie, P = $2
Next, we would determine the cost of a cake;
From equation 1;
C = 2P
Substituting the value of "P" we have;
C = 2 * 2
Cake, C = $4
Therefore, we would have the following answers;
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Check:
From equation 2;
4C + 2P = 20
4(4) + 2(2) = 20
16 + 4 = 20
20 = 20
HELP ME PLEASE
23. Two swimmers are training over a two-week period to increase the number of laps each can do consecutively. Swimmer A can do 14 laps to start, and increase her total by 3 laps each day. Swimmer B is charting her progress in the table below. Compare the initial values for each.
Answer:
Answer is A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.
on day 3 swimmer B has 17 (shown on chart)
on day 3 swimmer A has 23 (14, 17, 20, 23)
if you would want it to complicate it 14:3 and 11:2
14 ÷ 14 is 1
3 ÷ 14 is .214
11 ÷ 11 is 1
2 ÷ 11 is .181
if sectheta=13/12 and 270°<theta<360°, then tantheta=
Answer:
this should be 450° hahah sorry if I am wrong I don't know!
I have 15.00 and I want to go to the movies tickets cost 12.35 how much will I get back plz help
Answer:
2.65
Step-by-step explanation:
15.00 - 12.35 = 2.65
...I don't really know how do explain it but yeah thats the answer.
Hope it helps c:
f(x) = -22 – 14
Find f(9)
Answer:
-4
Step-by-step explanation:
f(9)=-22-14
f(9)=-36
f multiplied by 9divide by 9=-36divide by 9
f=-4
F(x) = 6x+2, find f (x+3)
Answer:
6x+20
Step-by-step explanation:
F(x) = 6x+2
f(x+3) means replace x with x+3
F(x+3) = 6(x+3)+2
= 6x+18+2
= 6x+20
Answer:
A; F(x+3) = 6x^2 + 20x + 6
Step-by-step explanation:
To find it you just would multiply F(x) onto the other side. So it would look like this:
F(x+3) = 6x + 2 (x+3)
F(x+3) = 6x^2 + 2x + 18x + 6 *combine like terms getting you
F(x+3) = 6x^2 + 20x + 6
Hope this helped!!
find the two rational number between -2 and-1
Answer:
-3/2, -7/4
Step-by-step explanation:
The numbers have to be negative, and two rational numbers between -1 and -2 are -1.5 and -1.75 and fortunately for us, both are rational (can be expressed as fractions), -1.5 = -3/2 and -1.75 = -7/4
HPH (Happy to help)
Help Please
Find The Surface Area Of The Prism
Answer:
360 cm^2
Step-by-step explanation:
Find the area of each face of the triangular prism.
Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.
Areas of the 2 triangular bases (they are similar triangles):
1/2 x 8 cm x 6 cm = 24 cm^2
24 x 2 = 48 cm^2
Area of the rectangular face:
8 x 13 = 104 cm^2
Area of another rectangular face:
6 cm x 13 cm = 78 cm^2
Area of another rectangular face:
13 cm x 10 cm = 130 cm^2
Add up all the areas of all faces:
48 + 104 + 78 + 130 = 360
So the SA is 360 cm^2
Use the formula to compute Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000. Recall that the table shows she’ll finance $16,950, and her interest rate is 4.3%.
Type the correct answer in the box. Round the answer to the nearest dollar.
Isabel’s monthly loan payment will be about $
.
Answer:
314
Step-by-step explanation:
unit activity
The equation of the line with slope −4 that goes through the point (8,−3)
can be written in the form y=mx+b
where m is:
and where b is:
Answer:
y = -4x + 29
Step-by-step explanation:
-3 = -4(8) + b
-3 = -32+b
29=b
The equation whose slope is -4 and passes through (8,-3) is y=-4x+29 where slope is -4.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?We have been given slope of line being -4 and point through which it passes (8,-3) and we have to find the equation of line.
The equation from two points can be calculated through the following formula:
y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]) and slope is m.
Putting the values of points and slope in the formula given above.
y-(-3)=-4(x-8)
y+3=-4(x-8)
y+3=-4x+32
y=-4x+32-3
y=-4x+29
Hence the equation is y=-4x+29 where slope is -4.
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Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
hs-6, k=-30
Someone please help me with this I can’t fail this test !
PLEASE HELPPPPPP!! I need to find x!!!!
Here
[tex]\\ \sf\longmapsto \frac{7}{x} = \frac{15}{10} \\ \\ \sf\longmapsto 7 \times 10 = 15x \\ \\ \sf\longmapsto 15x = 70 \\ \\ \sf\longmapsto x = \frac{70}{15} \\ \\ \sf\longmapsto \boxed{ \sf x = 4.6cm}[/tex]
Answer:
i can help you i know this answer
