Step-by-step explanation:
General equation: y = 2 + c/(x - 1)
When x = 4, y = 4.
=> (4) = 2 + c/(4 - 1), c = 6.
Hence the equation is y = 2 + 6/(x - 1).
solve the square root of 2x-5=x-4
Write the equation for the line with the given points (0,-3) and (2,9) in point slope form
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Jackie has a collection of stamps and coins. The total number of stamps and coins is 81. The number of coins is one more than three times the number of stamps. Find out how many stamps and coins Jackie has. Part A: Write let statements that represent the variables in this situation (2 points) Part B: Set up a system of equations that you can use to solve this problem? (2 points) Part C: Solve the system from (b) by using either substitution or elimination *show all solving steps*. (4 points) Part D: Write a solution statement answering the question
Answer:
Jackie collected 61 coins and 20 stamps
Step-by-step explanation:
Solving (a): Variable representation
Let the coins be represented with c
Let the stamps be represented with s
Solving (b): Setup equation
Total is 81. This implies that:
[tex]s + c = 81[/tex]
Also:
[tex]c = 1 + 3s[/tex]
Solving (c): Solve the system
Substitute 1 + 3s for c in [tex]s + c = 81[/tex]
[tex]s + 1 + 3s = 81[/tex]
Collect Like Terms
[tex]s + 3s = 81-1[/tex]
[tex]4s= 80[/tex]
Divide both sides by 4
[tex]s = \frac{80}{4}[/tex]
[tex]s= 20[/tex]
Substitute 20 for s in [tex]c = 1 + 3s[/tex]
[tex]c = 1 + 3 * 20[/tex]
[tex]c = 1 + 60[/tex]
[tex]c = 61[/tex]
Solving (d): Solution statement
Jackie collected 61 coins and 20 stamps
Factor the following polynomial fully.
10x^2 + 16x – 8
A. 2(5x – 4)(x + 1)
B. (2x + 4)(5x – 2)
C.(10x – 8)(x + 1)
D.2(x + 2)(5x – 2)
Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1
Answer:
-5x+4
Remainder: x^2+5x-3
Step-by-step explanation:
I hope this is helpful
You earn 4x+12 points after completing x levels of a Vedio game and then lose 2x-5 points. Write an expression that represents the total number of points you have now
Eva say it's $60 each week since she needs to save at least $2400 to go on a trip to Europe she will need to say 40 weeks
Answer:
The answer would be true.
Step-by-step explanation:
60*40=2400
Answer:
She will need to save for 40 weeks
Step-by-step explanation:
Suppose that y varies directly with x, and y=12 when x=15
Write a direct variation equation that relates x and y.
Find y when x=2
Answer:
[tex]y = 1 \frac{3}{5} [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
the mail slot is 24cm in width and 7cm in length what is the maximum width of the mail slot
Answer:
24 cm
Step-by-step explanation:
it says that the mail slot is 24 cm in width
Answer:
Step-by-step explanation:
14cm
A test of a new car results in 490 miles on 10 gallons of gasoline. Calculate the unit rate of miles per gallons. Sentence Frame: The new car test indicates ____ per ____.
Answer:
the answer is 49 miles per gallon
Easy area question
Need fast
Answer:
Ah I see it's the same it's a little more complex but I can do this as well.
But I can't type bcoz it will make it slow
so I'll write for this.ß
Please help me I’ll mark you brainiest
Answer: A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.
Step-by-step explanation:
a new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year what will the value of the car be, to the nearest cent, after 15 years?
An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?
Answer:
0.12 miles is it flying per second.
Step-by-step explanation:
The distance d is related to time t in seconds is given by the equation as follows :
d =0.12 t
We need to find how many miles is it flying per second.
[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]
So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.
My guys got me I will give brainliest
Answer:
58°
Step-by-step explanation:
A + B + C = 180 °
The smallest value of C is 91.
A + B = 89
A = 2B - 4
2B - 4 + B = 89
3B - 4 = 89
3B = 93
B = 31
A + 31 = 89
A = 58
Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8
Answer:Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8
Step-by-step explanation:
Answer: -8
Step-by-step explanation:
there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus
Answer:
40
Step-by-step explanation:
3 x 8 = 24
5 x 8 = 40
Please help I need it fast thanks!
Answer:
B
Step-by-step explanation:
g(x) = 4f(x)
Is this a vertical or a horizontal translation
Answer:
this is a vertical
Step-by-step explanation:
Which value of x is a solution of the inequality 25x - 100 < 250?
Answer:
inequality form: x<14
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
The solution of the given inequality is set of all x such that x < 14.
What are Inequalities?Two or more expressions connected with symbols of inequality like ≥, ≤, > and < is called the inequalities.
There are different kinds of inequalities like polynomial inequalities which includes linear inequalities and quadratic inequalities, rational inequality and so on.
Linear inequalities will have the highest degree of the variable equals 1.
Given a linear inequality,
25x - 100 < 250
Adding both sides of the inequality with 100,
25x - 100 + 100 < 250 + 100
25x < 350
Dividing both sides of the inequality by 25,
25x / 25 < 350 / 25
x < 14
Hence the value of x in the inequality is all the values of x which are less than, < 14.
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My guys do you thing pls help I will give brainliest
Answer:
22
Step-by-step explanation:
So can someone just help me solve this and tell me which terms belong together....ty-
Solving linear equation study island
Answer:
Step-by-step explanation:
(x-9)/5))(5) = 2(5)
answer is B
If we add the second equation to the first equation, we have a new
equation: 7c+8p=29.60. Explain why the same (c, p) pair that is a solution
to the two original equations is also a solution to this new equation.
Pls help asp this is due in a few hours !!!
Answer:
2
Step-by-step explanation:
please answer this question i will give brainliest!
Answer:
b is the right answer bc all the others r wrong
write the ratio
14:56
in it's simplest form
Some one please help me !!!
Answer:
= 1 : 4
Step-by-step explanation:
14 : 56 in it's simplest form
= 14 / 56
= 1/4
= 1 : 4
14 : 56 = 1 : 4
Therefore, 14 : 56 in it's simplest form is 1 : 4
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?
Answer:
5 cm
Step-by-step explanation:
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.
Distance = D
Weight = W
Hence:
D ∝ W
D = kW
Where k is constant of proportionality
Step 1
We solve for k
If a spring stretches 2 cm when a 30 gram weight is hung from it.
2 = 30k
k = 2/30
k = 1/15
Step 2
how far will it stretch when a 75 gram weight is hung from the spring?
D = kW
We are solving for D
k = 1/15
D = 1/15 × 75
D = 5 cm
The spring would stretch 5cm with a weight of 75 gram.
1.008 +7.
2-5.92 +2.34
Answer: 4.628
Step-by-step explanation:
Identify the imaginary part of this complex number:
(1)/(2)+(-7)/(2)i
Answer:
-7/2i
Step-by-step explanation:
The imaginary part of the complex number is -7/2.
What is complex form?A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.
We know a complex form,
a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part
So,
[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]
Compared to the standard form,
-7/2 is the imaginary part.
Therefore, -7/2 is the imaginary part.
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