Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.
I really hope that this helps you if u have any more questions ask. :>
Answer:
Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.
Step-by-step explanation:
Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance method.
Imagine an equation as a set of scales. The scales will stay in balance as long as the same operation (addition, subtraction, multiplication or division) is applied to both sides.
Example: y = 2x + 1 is a linear equation:
line on a graph
The graph of y = 2x+1 is a straight line
When x increases, y increases twice as fast, so we need 2x
When x is 0, y is already 1. So +1 is also needed
And so: y = 2x + 1
Here are some example values:
x y = 2x + 1
-1 y = 2 × (-1) + 1 = -1
0 y = 2 × 0 + 1 = 1
1 y = 2 × 1 + 1 = 3
2 y = 2 × 2 + 1 = 5
Can someone plz help me I really need it ASAP help me with this problem !
Answer:
-6x
check the attachment i provided
Step-by-step explanation:
[tex]-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x[/tex]
Answer:
-6x
Step-by-step explanation:
All you have to do is subtract the constants, because the variable is going to be there always
1. Kane earns an annual salary of $42,500.
He is paid twice a month with paychecks being
of equal amounts. If Medicare taxes
represent 1% of his income, then how much
will Kane bring home after Medicare taxes?
Answer:
$1753.13
Step-by-step explanation:
Kane's Annual Salary = $42,500
Gross Pay = $42,500
Net Pay = Gross Pay - 1% of Gross Pay
=42500 - (0.01 X 42500)
=$42,075
Since he is paid twice a month with paychecks being of equal amounts.
Number of Payments in a Year =12 X 2= 24
Therefore, Kane's Take Home pay after Medicare taxes
[tex]= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)[/tex]
Calculate the probability of all three events occurring.
Answer:
even = 1/2
prime = 1/2
multiple of 5 = 1/6
Step-by-step explanation:
probability is the chances of obtaining a certain result out of many attempts.
when rolling a die, the maximum number of results you can get is 6
Then, calculate how many times each of the occurrences appear(even, prime or multiples of 5)
Even = There are only 3 even numbers from 1 to 6
Prime: There are only 3 primes from 1 to 6
Multiples of 5 = There is only one multiple of 5.
Now you present each of this out of 6:
Even: 3/6 = 1/2
Prime: 3/6 = 1/2
Multiple of 5 = 1/6
This can also be presented as a decimal or percentage:
Even: 50% = 0.5
Prime: 50% = 0.5
Multiple of 5 = 16.67% = 0.16
Hope this helps.
Good Luck
compared to jenny, sally is 5/6 as tall and may is 4/5 as tall. How many time taller is sally than may
Answer:
25/24
Step-by-step explanation:
Let
Sally=S
May=M
Sally is 5/6 as tall
S = 5/6
May is 4/5 as tall
M = 4/5
S/M = 5/6/4/5
=5/6×5/4
=25/24
If m2 CBD = 42 and m2 DBE = 26, what is the measure of ZABE?
A. 26
B.42
C.112
D.124
Can someone please help me with this question?
Answer:
Row related frequencies
twins in family history Twins not in Total
family history
Twins born 8 / 34 = 0.2353 26 / 34= 0.7647 1
single child born :125 / 966 = 0.1294 841 / 966 = 0.8706 1
Step-by-step explanation:
Given table twins in twins not in
family history family history total
Twins born 8 26 34
single child born 125 841 966
Total 133 867 1000
Row related frequencies
Given table twins in family history Twins not in Total
family history
Twins born 8 / 34 = 0.2353 26 / 34= 0.7647 1
single child born 125 / 966 = 0.1294 841 / 966 = 0.8706 1
Total 0.3647 1.6353
What are the zeros of the function g(x)=2(x+2)(x-9) located at
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
g(x) = 2(x + 2)(x - 9)
To find the zeros let g(x) = 0, that is
2(x + 2)(x - 9) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.
What is the zeros and y-intercept of a function?Zeros is the Intersection points of the considered function's curve on input axis(usually represented by values of x)
y-intercept = Intersection points of the considered function's curve on output axis. On x-axis, value of y-coordinate is 0, On y-axis, value of x-coordinate is 0.
Thus, if function is y=f(x) then putting y = 0 gives zeros of the function.
And putting x = 0 gives the y-intercept of the function. (if any, for both cases).
Given the function as;
g(x) = 2(x + 2)(x - 9)
To find the zeros let g(x) = 0, that is;
2(x + 2)(x - 9) = 0
Then Equate each factor to zero and solve for x;
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
Hence, the zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
A standard six-sided die is rolled three times. Use multiplication to determine the probability that a one or two appears on the second roll, and an odd number appears on the third roll
Answer:
1/6
Step-by-step explanation:
Since we don't care what appears on the first roll
P( outcome) = 1
Second roll
P(1 or 2) = number of 1 or 2 / total number of outcomes
=2/6 = 1/2
Third roll
odd numbers 1,3,5
P( odd number)= number of odd numbers/ total
=3/6 =1/2
P( outcome, 1or 2, odd) = P( outcome) *P(1 or 2) *P( odd number)
= 1* 1/3 * 1/2
= 1/6
The weight of a honeybee is 1.2\cdot10^{-1}\text{ g}1.2⋅10 −1 g1, point, 2, dot, 10, start superscript, minus, 1, end superscript, start text, space, g, end text. The weight of the pollen collected by the bee on one trip is 6.0 \cdot 10^{-2} \text{ g}6.0⋅10 −2 g6, point, 0, dot, 10, start superscript, minus, 2, end superscript, start text, space, g, end text.
Answer:1.8*10^-1
Step-by-step explanation:
Answer: 1.8 x 10^−1
Step-by-step explanation:
just the red triangle use the Phytogram theorem please :(
Please help me with my question!!
We know that the area of each tile is 3 1/2in^2
All we need to do is divide.
210 / 3.5 = 60
So, she will need 60 tiles to cover the entire bathroom floor.
Best of Luck!
What is the perimeter?
Answer:
91+c
Step-by-step explanation:
The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.
Solve for x. -7x= -8x+7
Answer:
x = 7
Step-by-step explanation:
-7x= -8x+7
Add 8x to each side
-7x+8x= -8x+8x+7
x = 7
Answer:
The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]-7x = -8 x + 7[/tex]
Add both sides by [tex]8x[/tex]:
[tex]-7x + 8x = -8x + 8x + 7[/tex]
[tex]x = 7[/tex]
So, the final answer is [tex]x = 7[/tex] .
The diameter of a circle is 222 units. What is the radius of the circle?
Answer:
111 units
Step-by-step explanation:
the diameter is double the radius so divide 222 by 2 to get 111 units.
PLEASE HELP ME. Really need help
Find the features of the line 4y-3x = 108.
find:
x intercept
y-intercept
x intercept(y=0)
4y-3x=108
4×0-3x=108
-3x=108
x=108/-3
x=-36
y intercept(x=0)
4y-3×0=108
4y=108
y=108/4
y=27
Find the slope of the line that passes through (1, 2) and (10, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
7/9
Step-by-step explanation:
What epuation correctly shows how to determine the distance between points 9,-2 6,3
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
This is the distance formula. To find the distance, solve as shown:
[tex]d=\sqrt{(6-9)^{2}+(3-(-2))^{2} } \\d=\sqrt{(6-9)^{2}+(3+2)^{2} } \\d=\sqrt{(-3)^{2}+(5)^{2} } \\d=\sqrt{9 +25 } \\d=\sqrt{34 }[/tex]
what is the volume of the cone using pi/3.14 using the numbers 2and 3
Answer:
V=π*r^(2)*h/3
Step-by-step explanation:
part 1. Find the missing sides for the 30-60-90 Triangles. Please show work
1. cos(30) = a/16
a = 16 x cos(30)
a = 8√3
sin(30) = c/16
c = 16 x sin(30)
c = 8
2. cos(30) = d/28
d = 28 x cos(30)
d = 14√3
sin(30) = f/28
f = 28 x sin(30)
f = 14
3. sin(30) = x/62
x = 62 x sin(30)
x = 31
cos(30) = y/62
y = 62 x cos(30)
y = 31√3
Answer:
1. (a, c) = (8, 8√3)
2. (d, f) = (14, 14√3)
3. (x, y) = (31, 31√3)
Step-by-step explanation:
Side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2. You can multiply these ratio values by an appropriate constant to make them match the lengths in your triangle.
__
1. a : c : 16 = 1 : √3 : 2
Multiply by 16/2 = 8:
= 8 : 8√3 : 16
a = 8, c = 8√3
__
2. d : f : 28 = 1 : √3 : 2
Multiply by 28/2 = 14:
= 14 : 14√3 : 28
d = 14, f = 14√3
__
3. x : y : 62 = 1 : √3 : 2
Multiply by 62/2 = 31:
= 31 : 31√3 : 62
x = 31, y = 31√3
A biologist uses a box-shaped fish trap that measures 1/4meter by 2/3meter by 3/5meter. What is the volume of the trap in the cubic meters.
To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it:
(1/4 m)* (2/3 m)* (3/5 m)
= (1*2*3)/ (4*3*5) m^(3)
= 6/ 60 m^(3)
= 1/10 m^(3)
= 0.1 m^(3)
The volume of the box-shaped fish trap is 0.1 m^(3).
Hope this is helpful~
Use the x-intercept method to find all real solutions of the equation.
x^3- 7x2 + 7x + 15 = 0
a. X = -1, 3, or -5
b. x= 1, -3, or -5
c. X = -1, 3, or 5
d. X = 1, -3, or 5
Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures.
In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.
In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. i neeed help plz
Answer:
Multiply 8 and 3
Step-by-step explanation:
6+ (-5-7/2) -8(3)
Using the order of operations
BODMAS
•BRACKET
•OFF
•DIVISION
•MULTIPLICATION
•ADDITION
•SUBTRACTION
The first step is to deal with the bracket
Which is
6+(-5-7/2)-24
Next is solve the next parenthesis
6+(-12/2)-24
Next
6+(-6)-24
Next
6-6-24
= -24
Answer:
A is correct answer
Step-by-step explanation:
compare: 3 5/7 to 3 6/10 which one is greater
Answer:
3 5/7
Step-by-step explanation:
First we need to get a common denominator.
We can do this by multiplying the fractions by opposite denominators.
This gets us 3 50/70 and 3 42/70
Now we can see that 3 5/7 is greater
Steps:
Using the given inputs: 3 5/7 and 3 6/10
Rewriting these inputs as fractions: 3 5/7 3 6/10
26/7 36/10
The least common denominator (LCD) is: 70.
Rewriting as equivalent fractions with the LCD: 3 5/7 3 6/10
260/70 252/70
Comparing the numerators of the equivalent fractions we have:
3 5/7 3 6/10
260/70 > 252/70
Comparison shows: 3 5/7 > 3 6/10
Answer: 3 5/7 > 3 6/10
Please mark brainliest
Hope this helps.
i hate math bro please help me
Answer:
D
Step-by-step explanation:
D is the correct answer, (-y, x)
subtract the following integer in number line =5 from 3
Answer:
-2
Step-by-step explanation:
3-5= -2
38. A painting without its frame has
a width 2.5 times its height, h,
in inches. Its frame is 3 in. wide
all along its perimeter. What is
an expression for the area of the
framed painting in terms of h?
Simplify your expression, and write
it in standard form.
Answer:
1.5*w^2 + 15*w + 36
Step-by-step explanation:
We have to make the width of the portrait be 'w'
in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w
Frame width is 3 inches on all sides.
Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.
I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.
From the figure, we have to:
AB = 3 + w + 3 = w + 6
BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6
We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,
Area = (w + 6) * (1.5 * w + 6)
Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36
Area = 1.5*w^2 + 15*w + 36
That is, the expression for the framed portrait area in terms of the width 'w' is:
1.5*w^2 + 15*w + 36
Write the following inequalities in slope interact form -12x-2y> -42
Answer:
y < -6x+21
Step-by-step explanation:
-12x-2y> -42
Add 12 x to each side
-12x+12x-2y>12x -42
-2y > 12x-42
Divide by -2 remembering to flip the inequality
-2y/-2 < 12x/-2 -42/-2
y < -6x+21
This is in slope intercept form
I don’t understand, what’s the answer and why?
Pedro runs 9/10 of q mile each day how many miles does Pedro run in 6 days
Answer: 1.35 miles
Step-by-step explanation:
9/10th of quarter mile = 9/40
For 6 days
9/40 x 6 = 27/20 = 1.35 miles
