Step-by-step explanation:
We wish to express 3x - y = 1
in slope-intercept form.
3x - y = 1
=> y = 3x - 1
Slope of line = 3, therefore
Slope of parallel line is also 3.
We have y = 3x + c.
When x = 1, y = 7.
=> (7) = 3(1) + c, c = 4
Hence the answer is y = 3x + 4.
PLEASE HELP!!!!!!!!!!
Given:
The graph of an exponential function.
To find:
The function in the form of [tex]f(x)=ab^x[/tex].
Solution:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex] ...(i)
From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.
For x=0 and f(x)=4,
[tex]4=ab^0[/tex]
[tex]4=a(1)[/tex]
[tex]4=a[/tex]
For x=1 and f(x)=7,
[tex]7=ab^1[/tex]
Putting a=4, we get
[tex]7=4(b)[/tex]
[tex]\dfrac{7}{4}=b[/tex]
Substitute a=4 and [tex]b=\dfrac{7}{4}[/tex] in (i).
[tex]f(x)=4\left(\dfrac{7}{4}\right)^x[/tex]
Therefore, the required exponential function is [tex]f(x)=4\left(\dfrac{7}{4}\right)^x[/tex].
The Pythagorean theorem
Answer:
b = 3√37
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseStep-by-step explanation:
Step 1: Define
a = b
b = 14
c = 23
Step 2: Find b
Substitute [PT]: b² + 14² = 23²Isolate b term: b² = 23² - 14²Exponents: b² = 529 - 196Subtract: b² = 333Isolate b: b = 3√37Answer:
b=3root37
Step-by-step explanation:
6/n = 9/24 n=?
I need help, please show steps.....
Answer:
n=16
Step-by-step explanation:
6n=9246n=924 nn
Write the problem as a mathematical expression.
6n=9246n=924 nn
Cancel the common factor of 99 and 2424.
Factor 33 out of 99.
6n=3(3)246n=3(3)24
Cancel the common
Factor 33 out of 2424.
6n=3⋅33⋅86n=3⋅33⋅8
Cancel the common factor.
6n=3⋅33⋅86n=3⋅33⋅8
Rewrite the expression.
6n=386n=38
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
6⋅8=n⋅36⋅8=n⋅3
Solve the equation for nn.
Rewrite the equation as n⋅3=6⋅8n⋅3=6⋅8.
n⋅3=6⋅8n⋅3=6⋅8
Multiply 66 by 88.
n⋅3=48n⋅3=48
Divide each term by 33 and simplify.
Divide each term in n⋅3=48n⋅3=48 by 33.
n⋅33=483n⋅33=483
Cancel the common factor of 33.
Cancel the common factor.
n⋅33=48
Find the equation for the circle with center (3,−5) and diameter of length 8.
Answer:
(x-3)² + (y+5)² = 16
Step-by-step explanation:
Radius will be half of diameter means that radius = r = 8/2 = 4.
With Center (h,k) the equation of circle is
(x-h)² + (y-k)² = r²
so by putting values answer will be
(x-3)² + (y+5)² = 4²
(x-3)² + (y+5)² = 16
Question 4 of 5
Which fraction is equal to 45%?
A.
4.5
100
O
B.
100
45
45
100
Ο Ο
D.
100
450
SUBMIT
Percent means per 100, so 45% would be 45 out of 100, which written as a fraction would be 45/100
The answer would be C.
solve ASAP for brain list and correctness
Answer: p = 1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
-2/5 -2/5
p = 2/5 + 3/5p
-3/5p -3/5p
2/5p = 2/5
Divide both sides by 2/5
p = 1
You are filling a 2-liter bottle with liquid from full 80-milliliter containers. How many containers will it take to fill the 2-liter bottle?
Answer:
25 bottles
Step-by-step explanation:
2 litres=2000 milliliters
2000/80=25 (or) 80x25=2000
The amount of containers it will take to fill the 2-liter bottle is 25 containers.
Given the following data:
Volume of bottle = 2 LitersVolume of containers = 80 milliliterTo determine the amount of containers it will take to fill the 2-liter bottle:
In this exercise, you're required to determine the amount of 80-milliliter containers that would be required to fill the 2-liter bottle.
First of all, we would convert the volume in liters to milliliter.
Conversion:
1 Liter = 1000 millimeters
2 Liter = 2000 millimeters
Now, we can find the amount of containers by using the formula:
[tex]Number\;of\;containers = \frac{Volume \;of\;bottle}{Volume \;of\;containers}[/tex]
Substituting the parameters into the formula, we have;
[tex]Number\;of\;containers = \frac{2000}{80}[/tex]
Number of containers = 25 containers
Find more information: https://brainly.com/question/4728821
After spending $19 dollars, Issac had twice as much money as Lara.
If Lara had $27, how much money did Issac have at first?
Answer:
73
Step-by-step explanation:
yes it is 73dddfmsmxk
Can someone please help me out!!?
Answer:
x = 7
Step-by-step explanation:
[tex]\frac{10}{8} = \frac{3x-6}{12}[/tex] --> Triangle Similarity Theorem
120 = 8(3x - 6) --> Cross Multiplying
120 = 24x - 48 --> Distributing the 8
24x - 48 + 48 = 120 + 48 --> Adding 48 on both sides
24x = 168 --> Simplifying
24x/24 = 168/24 --> Divide 24 on both sides
x = 7 --> Simplifying
Hope this helped! <3
Worth lots of points!!! COME SOLVE PLEASE
Answer:
[tex]f(x)=1.2x+6[/tex]
[tex]g(x)=-2x+4[/tex]
f(x) has a bigger slope than g(x), as it's slope is 1.2, when the slope of g(x) is -2.
You need to lower your debt to credit limit ratio by $1,000. Your current limit is $1,400. $1,000 is what percent of your credit limit?
Answer:
1,000 of 1,400 is 71.43%
Solve working backwards with the distributive property. 7(7) - 7(2) =
Answer:
35
Step-by-step explanation:
(7x7=49) (7x2=14)
then you do
49-14= 35
Which of these is equal to 4 (−)4
A.()4 B.(−)4 .−()4 D. (−)4
Answer:
(a) [tex]x^4 * (-y)^4 = (xy)^4[/tex]
Step-by-step explanation:
Given
[tex]x^4 * (-y)^4[/tex]
Required
Select and equivalent expression
[tex]A.\ (xy)^4[/tex] [tex]B.\ (-xy)^4[/tex] [tex]C.\ -(xy)^4[/tex] [tex]D.\ (x-y)^4[/tex]
[tex]x^4 * (-y)^4[/tex]
Apply law of indices:
[tex]x^4 * (-y)^4 =x^4 * (-y) * (-y) * (-y) * (-y)[/tex]
This gives:
[tex]x^4 * (-y)^4 = x^4 * (y) * (y) * (y) * (y)[/tex]
[tex]x^4 * (-y)^4 =x^4 * y^4[/tex]
x and y have the same exponent; So, they can be expressed as:
[tex]x^4 * (-y)^4 = (x*y)^4[/tex]
[tex]x^4 * (-y)^4 = (xy)^4[/tex]
Suppose you are testing two fertilizers on bamboo plants A and B, which are growing under identical conditions. Plant A is 6 cm tall and growing at a rate of 4 cm per day. Plant B is 10 cm tall and growing at a rate of 2 cm per day.
Answer:
2 days
Step-by-step explanation:
Step one:
let the number of days be x
and the total height be y
Plant A is 6 cm tall and growing at a rate of 4 cm per day.
the total height is
y=6+4x------------1
Plant B is 10 cm tall and growing at a rate of 2 cm per day.
y=10+2x-----------2
Required
time taken for both plants to have the same height
Step two:
equate the two equations to find when the plants will have the same height
6+4x=10+2x
collect like terms
4x-2x=10-6
2x= 4
divide both sides by 2
x= 4/2
x= 2 days
The ratio of the corresponding parts of these pentagons is 2:3. What is the value of x?
Answer:
I'm not entirely sure if this is correct.
Step-by-step explanation:
[tex] \frac{2}{3} = \frac{30}{x} \\ 2x = 3(30) \\ \frac{2x}{2} = \frac{90}{2} \\ x = 45[/tex]
please solve I need help brain list to correct and first
Answer:
It C
Step-by-step explanation:
6y-2y is 4y and 4y+ 8y is 12y
Answer:
12y
Step-by-step explanation:
you do 6y-2y=4y
then 4y+8y=12y
so it's 12y
hope that helps :)
HELPPPPPP PLEASEEEEWE ILL GIVE YOU 30 points!!!!! I have 4 minutes pleaseeee
Factor 64x2 – 80xy + 25y2 using the binomial theorem.
The binomial that was expanded is .
The exponent on the factored expression is .
Answer:
Step-by-step explanation:
Help pls?????? With both !
Answer:
the answer could be 100 metre
Solve the system of linear equations by substitution.
6x – 9=y
y=-3.7
Answer:
x=0.88
y= -3.7
Step-by-step explanation:
-3.7=6x-9
5.3=6x
0.88=x
Is this a function? Explain with full sentence!
[(3,2) (4,2) (5,2) (3,2)]
Answer:
yes
Step-by-step explanation:
so i was doing some serching online and i typed what does a function mean and this wat came up an activity or purpose natural to or intended for a person or thing. so as i was thinking this answer fits the description on what i was given from the internet
1/2(3x -2/3y) + 3(x/2 + 1/2y)
Simplify the expression.
18x + 7y/6
given h(x)=-x-3, find h(-6)
Answer:
h(-6) = 3
Step-by-step explanation:
h(x) = -x - 3
h(-6) = -(-6) - 3
h(-6) = 6 - 3
h(-6) = 3
Photo attached please help
Maria is making cookies that require 4/3 cups of flour. She has 1 2/3 cups of flour. How much sugar will she have left after making the cookies?
Answer:
1/3
Step-by-step explanation:
4/3=1 1/3
1 2/3 - 1 1/3= 1/3
Hope this helps!
Tell which equation you would choose to solve for one of the variables. Explain.
x + 4y = 30
x – 2y=0
Answer:
step below
Step-by-step explanation:
x + 4y = 30
x – 2y=0
x= 2y
2y + 4y = 30
6y = 30
y = 5
x = 10
Which equation represents the line that is parallel to y = 2 and passes through (-1,-6)?
Answer:
y=-6
Step-by-step explanation:
the line needs to be vertical to be parallel to y=2, and pass through (-1,-6)
At a dog park,there are12 golden retrievers and 20 poodles.what are the ratio of retrievers to poodles?
Answer:
[tex]12:20[/tex]
Step-by-step explanation:
Find the slope of the line that passes through each pair of points. (-3, 1 )and (-17, 2)
Answer:
1/-14 or 1 over - 14
Step-by-step explanation:
The equation you need is: y2-y1 over x2-x1
So if you plug it in it becomes 2-1 over -17 -(-3) so 2 - 1 is 1 that's the easy part, 17 - (-3) is the hard part because you can't minus a negative. So it becomes -17+3 which is still -14 because you take the sign of the bigger number. Sorry if it's hard to understand :(
Find the GCF of 21m∧5n∧2 and 28m∧4n∧2.
Answer:21m, 5n, 2=1
28m, 4n, 2=2
Step-by-step explanation: