Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.
Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (0,5) and (2,-3).
Answer:
y = -4x + 5
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general form is;
y = mx + b
where m is the slope and b is the y intercept
To find the slope, we use the slope formula
this is ;
m = (y2-y1)/(x2-x1)
(x1,y1) = (0,5)
(x2,y2) = (2,-3)
m = (-3-5)/(2-0) = -8/2 = -4
To get the y-intercept we simply substitute one of the points
But we know that the y-intercept is the y-value when x = 0
From the point we can see (0,5) which means that the y-intercept is 5
so the equation of the line is;
y = -4x + 5
The equation of the graph in slope intercept form is y = -4x + 5
Using slope intercept equation
y = mx + b
where
m = slope
b = y- intercept
Therefore,
Let's take 2 coordinates to get the slope.
(1, 1)(0, 5)
y-intercept = 5
Therefore,
m = 5 - 1 / 0 - 1 = - 4
y = -4x + 5
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Work out 7/9 - 3/7
what's the answer in its simplest form
Answer:
22/63 thats ur answer simplifed
#1. How many three-letter words can be made from using the letters of the
word "GUARD" (no repeats)
Then notation:
The difference of 6 and 4. times p
Answer:
2p is the answer
Step-by-step explanation:
There would be a 2p unit gap
Are 2(x + 1) and 2x + 1 equivalent expressions? explain.
I’m not in a hurry, take your time.
Answer:
Yes
Step-by-step explanation:
When you simplify 2(x+1). [MULTIPLY]
It comes 2x+1 so it is equivalent to 2x+1
Yes, 2(x + 1) and 2x + 1 are equivalent algebraic expression.
Given that,
To determine whether the 2(x + 1) and 2x + 1 are equivalent expressions.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let
y = 2 (x + 1) - - - - - -(1)
z = (2x + 1) - - - - - (2)
from equation1
y = 2 (x + 1)
using the PEMDAS rule, applying operation on the parenthesis 1st as distributive property,
now,
y = 2x + 1
Since the outcome of the equation is equal to equation 2.
Thus, 2(x + 1) and 2x + 1 are equivalent algebraic expression.
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help thank you !! :D
Answer:
The zeros are -1 and 2
Step-by-step explanation:
-1 and 2 are the two places where the graph crosses over the x-axis so your answer would be two because -1 isn't a choice.
What is 100,000,000x500,000,000
Answer:
5e+16
Step-by-step explanation:
Brett rolled a pair of number cubes 36 times. He rolled a sum of 7 for 12 of
those rolls. The theoretical probability of rolling a sum of 7 is. What is
the difference between Brett's experimental probability and the theoretical
probability?
Answer:
the difference is of theoretical probability is 6
What number is equivalent to 6%
A-6.0
B-0.06
C-0.6
D-6/100
E-3/50
Answer:
0.06
Step-by-step explanation:
Since the decimal equivalent of any percentage is the number over 100, 6 percent is 6/100, i.e., 0.06.
These triangles
are congruent by
th triangle
congruence
postulate [? ].
A. ASA
B. AAS
C. Neither, they are not congruent
Answer:
A. ASA
Step-by-step explanation:
The figure shows two angles congruent to 2 angles.
The common side is congruent to itself.
Answer: ASA
simplify the expression 6 ( y + z )
33 POINTS! Find the area of the shape.
Answer:
The Answer is 41 cm.
Step-by-step explanation:
You have to add each side.
I read it wrong my anwser is wrong
Answer:
103.96
Step-by-step explanation:
justt solved it
cherise deposits 8% of each paycheck into her retirement account. Her last paycheck was $1,485. how much did cherise deposit into her retirement account?
Answer:
108/100×1485=$1603.8
I'm not very sure about the simplification so please simplify again
Step-by-step explanation:
Answer: $118.80
Step-by-step explanation:
8% turns into 0.08
0.08 times 1485 = 118.80
2/3x+1=1/6x-7
What the answer solve for 15 points !!
Answer:
The value of x is -16.
Step-by-step explanation:
☆Let's solve!
[tex] \: \: \: \: \: \: \: \: \: \: \frac{2}{3} x + 1 = \frac{1}{6} x - 7 \\ \frac{ - \frac{1}{6}x \: \: \: \: \: \: \: \: \: = - \frac{1}6{x} }{ \frac{1}{2}x + 1 = - 7} \\ \: \: \: \: \: \frac{ - 1 = - 1}{ \frac{ \frac{1}{2} x}{ \frac{1}{2} } = \frac{ - 8}{ \frac{1}{2} } } \\ x = - 16[/tex]
2(−5x+4)+4x−5=-3 i need help
2(-5x4)×4x-5=-3 its going to be x=1
100 POINTS!
help please
which is the graph of f(x) = 3 square root x/4
Answer:
Given function
[tex]f(x)=\dfrac{3}{4}\sqrt{x}[/tex]
Parent function
[tex]f(x)=\sqrt{x}[/tex]
The square root of a negative number cannot be taken, therefore the domain and range of the parent function are restricted:
Domain: [0, ∞)Range: [0, ∞)This means the parent function begins at the origin (0, 0) and is restricted to Quadrant I.
The only transformation the parent function has undergone is it has been multiplied by 3/4, which means it has been stretched vertically by a factor of 3/4. Therefore, the domain and range will not change.
The points shown on the given graphs are all where x = 4.
[tex]\textsf{Graphed function}: \quad f(4)=\dfrac{3}{4}\sqrt{4}=1.5 \implies (4,1.5)[/tex]
Therefore, the graph of the given function is the graph with:
Domain: [0, ∞)Range: [0, ∞)Point: (4, 1.5)1
Compare the function f(x) = 3x - to the function shown in the graph. Which statements are correct?
2
12 /
A)
The function f(x) = 3x -
12 /
and the graphed function have the same slope.
The graphed function has a lesser rate of change than the function f(x) =
B)
3x -
The function f(x) = 3x -
12 /
has a lesser rate of change than the graphed
function
D)
The graphed function has a y-intercept with a lesser value than the
1
function f (x) = 3x -
12/24
The function f(x) = 3x
has a x-intercept with a lesser value than the
E)
graphed function
Answer: B.), D.), and E.)
Step-by-step explanation:
That’s the answer on USAtestprep
Please help please please ASAP
Answer:
choose the first one.
0.87
Answer:
Use your calculator
Step-by-step explanation:
Press the cos button COS( - should look like that... Then fill it out COS(30) make sure to add the closed parenthesis so you dont get an error. And then BAM you got your answer and dont have to look anymore up. XD
Please hurry! a^2+b^2=10 and ab=2. Find (a-b)^2
Answer:
(a - b)² = 6
Step-by-step explanation:
The expansion of (a - b)² using FOIL is
(a - b)² = a² + b² - 2ab ← substitute given values
= 10 - 2(2)
= 10 - 4
= 6
k(x)=2x+4 ; Find k(-9)
Answer:
-14
Step-by-step explanation:
Plug in -9 for 2x+4
2(-9)+4
-18+14=-14
2. Express the given statement as an algebraic expression.
Sum ofa and 5 divided by 8
Answer:
An algebraic expression for Sum of a and 5 divided by 8 is [tex]\mathbf{\frac{a+5}{8}}[/tex]
Step-by-step explanation:
We need to express the given statement as an algebraic expression.
Sum of a and 5 divided by 8
Basically, we are given the expression in English sentence and we have to write algebraic expression.
It can be done in two steps:
Sum of a and 5 = We know that sum is denoted by + sign. So, we get (a+5)
Sum of a and 5 divided by 8 = [tex]\frac{a+5}{8}[/tex]
So, An algebraic expression for Sum of a and 5 divided by 8 is [tex]\mathbf{\frac{a+5}{8}}[/tex]
Ximena is typing a 2500 word essay. In 9 minutes she types 396 words, at this rate can Ximena type the essay in an hour?
Answer:
yes
Step-by-step explanation:
396÷ 9= 44
44×60= 2,640 > 2500
At the given rate, Ximena can type the 2,640 word essay in an hour.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Ximena is typing a 2500 word essay. In 9 minutes she types 396 words,
The typing per word.
396÷ 9 = 44
Therefore,
44 × 60 = 2,640
Which is greater than 2500
Hence Ximena can type the 2,640 word essay in an hour.
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Solve the system of linear equations by substitution. 2x=y−10 x+7=y
Answer:
(-3, 4)
Step-by-step explanation:
2x = y - 10 (y = x +7) so
2x = x +7 - 10
2x = x -3
x = -3
-3 + 7 = y
4 = y
Step-by-step explanation:
2x = y - 10 and x + 7 = y.
By Substitution,
2x = (x + 7) - 10.
=> 2x = x - 3, x = -3.
Therefore y = (-3) + 7 = 4.
The pair of solutions are x = -3, y = 4.
Identify the constant of proportionality
What is 17,242 rounded to the nearest 10,000
17,242 rounded to the nearest 10,000 is 20,000.
The given number is 17,242.
We need to round the given number to the nearest 10,000.
How to round the given number to the nearest 10,000?To round a number to the nearest 10,000, check the thousands of digits to decide whether to round up or round down. If the thousands are 5000 or more, round up. If they are 4999 or less, round down. In the given number the thousands are greater than 5000.
So, 17,242 rounded to the nearest 10,000 is 20,000.
Therefore, 17,242 rounded to the nearest 10,000 is 20,000.
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is this triangle a SSS, SAS, ASA, AAS, or HL?
Answer:
sss
Step-by-step explanation:
Answer: its a SAS triangle
Step-by-step explanation:
How much pure water must be mixed with 10 liters of a 25% acud solution to reduce it to a 10% acid solution
Answer:
15 liters of pure water must be added
Can someone help me please in thank you
Answer:
Hint: f(x) = y
Step-by-step explanation:
The best way to approach these type of questions is to first substitute the x in the equation with one of the numbers from the table that contains x and y. For example, number 5, f(x) = 8x - 5. One of the numbers states x as 0, meaning I can substitute 0 into the equation as x => f(x) = 8(0) - 5. After that I solve to find f(x), and fill out the slot next to 0. This can be repeated for all blank slots of y. Hope it helped. :)
(If you still need help, you can reply back)
What is the standard form of 2x2x2x2x2?
Answer:
The standard enthalpy of formation is the energy that would be involved if one mole of the substance were to be formed from its elements that were at standard conditions of temperature and pressure which are 25 degrees C and one atm pressure.
Step-by-step explanation:
The standard form of the given expression 2 × 2 × 2 × 2 × 2 is 2⁵.
The expression is given as follows:
2 × 2 × 2 × 2 × 2
When simplifying repeated multiplication of the same number, we use exponents as a concise representation.
The exponent denotes how many times the base is multiplied by itself. In this case, 2 is multiplied five times (2 × 2 × 2 × 2 × 2).
So, it is equal to 2⁵.
In this form, the base (2) is raised to the power of the number of times it is multiplied (5).
Thus, the standard form of 2 × 2 × 2 × 2 × 2 is 2⁵.
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Given m||n, find the value of x.
1
(7x+3)
(8x+1)°
Answer:
x = 2Step-by-step explanation:
Angles (7x + 3)° and (8x + 1)° are corresponding angles
Therefore:
m║n ⇒ (7x + 3)° = (8x + 1)°
(7x)° + 3° = (8x)° + 1° {subtract (7x)° from both sides}
3° = x° + 1° {subtract 1° from both sides}
2° = x°
x = 2