Answer:
A. (5,2)
Step-by-step explanation:
If you go to solve the equation you would first try to get y by itself in the first equation and you would do that by subtracting x on both sides. Then you would have y=7-x and then you would plug the second equation in for the x and get the equation y=7-y-3 because you distribute the negative sign of the x to both the y and 3. Then you combine like terms and get y=4-y and then add the y to both sides and get 2y=4 and then divide both sides by 2 and get y=2. Then you plug in y in the first equation and get x+2=7. Then you subtract 2 from both sides and get x=5.
help plzzzzzzzzzzzz not i am lost. 100 points or more if I can. Show how to solve the Quadratic Equation y=6x^2 +2x - 20 or a different equation you choose by ALL OF THE FOLLOWING METHODS: Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator
Answer:
see below
Step-by-step explanation:
y=6x^2 +2x - 20
a=6 b= 2 c = -20
Quadratic Formula
-b ± sqrt( b^2 - 4ac)
------------------------------
2a
-2 ± sqrt( 2^2 - 4*6(-20))
------------------------------
2*6
-2 ± sqrt( 2^2 - 4*6(-20))
------------------------------
2*6
-2 ± sqrt(484)
------------------------------
2*6
-2 ± 22
------------------------------
12
20/12 = 5/3 -24/12 = -2
solutions are 5/3 and -2
Factoring
0=6x^2 +2x - 20
0 =2( 3x^2 +x - 10)
=2 ( 3x-5) ( x+2)
Using the zero product property
3x-5 = 0 x+2 = 0
3x=5 x =-2
x = 5/3 x = -2
Completing the square
y=6x^2 +2x - 20
Add 20
20=6x^2 +2x
Divide by 6
20/6 = x^2 +2/6x
10/3 = x^2 +1/3x
Take the coefficient of x and divide by 2
1/3 /2 = 1/6
Square it
(1/6) ^2 = 1/36
Add it to each side
10/3 + 1/36 = x^2 +1/3x+ 1/36
120/36 + 1/36 = ( x+ 1/6) ^2
121/ 36= ( x+ 1/6) ^2
Take the square root of each side
sqrt(121/ 36) = sqrt( ( x+ 1/6) ^2)
±11/6 = x+1/6
Subtract 1/6 from each side
-1/6 ±11/6 = x
-1/6 - 11/6 = x -1/6 + 11/6 = x
-12/6 =x 10/6 =x
-2 =x 5/3 =x
Graphing
Answer: and Step-by-step explanation:
y=6x² +2x - 20
let a=6
let b= 2
let c = -20
Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator
using Quadratic Formula
-b ± √( b² - 4ac)
2a
-2 ± √( 2² - 4*6(-20))
2*6
-2 ± √( 2² - 4*6(-20))
2*6
-2 ± √(484)
2*6
20/12 = 5/3
-24/12 = -2
the answers are 5/3 ; -2
use by Factoring
0=6x² +2x - 20
0 =2( 3x² +x - 10)
=2 ( 3x-5) ( x+2)
by using the zero product property
3x-5 = 0
x+2 = 0
3x=5
x =-2
x = 5/3
x = -2
by using completing the square
y=6x² +2x - 20 Add 20
20=6x² +2x Divide by 6
20/6 = x² +2/6x
10/3 = x^2 +1/3x Take the coefficient of x and divide by 2
1/3 /2 = 1/6 Square it
(1/6) ² = 1/36 Add it to both side s
10/3 + 1/36 = x² +1/3x+ 1/36
120/36 + 1/36 = ( x+ 1/6)²
121/ 36= ( x+ 1/6)² Take the square root of both side
√(121/ 36) = √( ( x+ 1/6)²)
±11/6 = x+1/6 Subtract 1/6 from both side
-1/6 ±11/6 = x
-1/6 - 11/6 = x
-1/6 + 11/6 = x
-12/6 =x
10/6 =x
x = -2
x = 5/3
by using a graphing computer
70=(4x+36)/2 figure this out please
Answer:
[tex]\boxed{\bold{\huge{\boxed{x = 26}}}}[/tex]
Step-by-step explanation:
[tex]70 = \frac{4x+36}{2}[/tex]
Multiplying both sides by 2
[tex]70 * 2 = 4x+36[/tex]
[tex]140 = 4x+36[/tex]
Subtracting 36 to both sides
[tex]140 - 36 = 4x[/tex]
[tex]104 = 4x[/tex]
Dividing both sides by 4
[tex]26 = x[/tex]
OR
[tex]x = 26[/tex]
Answer:
x=26
Step-by-step explanation:
[tex]70=\frac{4x+36}{2}\\ 70*2=4x+36\\140=4x+36\\4x=140-36\\4x=104\\\frac{4x}{4}=\frac{104}{4}\\ x=26[/tex]
check
70=(4x+36)/2
70=(4*26+36)/2
70=(104+36)/2
70=140/2
70=70
85 out of 200 workers in a building arrive at 8:00 a.m. What percent of workers in the building do NOT arrive at 8:00 a.m.?
Answer:
57.5 %
Step-by-step explanation:
First find out the number of workers that do not arrive by 8 am
200 -85 = 115
Take this number divided by the total
115/200 = .575
Change to percent form
57.5 %
Simplify 36/90 need to no the steps the answer is 2/5 just need steps
Answer:
2/5
Step-by-step explanation:
Divide the top and bottom by 18
36/90
36÷ 18 = 2
90 ÷18 = 5
36/90 = 2/5
Answer:
Below
Step-by-step explanation:
Notice that:
● 36 = 18×2
● 90 = 18×5
■■■■■■■■■■■■■■■■■■■■■■■■■■
● (36/90) = (18×2)/(18×5)
● (36/90) = (18/18) × (2/5)
● (36/90) = 1 × (2/5)
● (36/90) = (2/5)
mary won £5000 in a competition .she used the money to pay for herself and 8 friends to go on a holiday. Flights cost £279 for each of them. Accommodation costs £184 for each of them. how much of the £5000 did she have left after paying for flights and accommodation for herself and the 8 friends
Answer:
the answer is £833
Step-by-step explanation:
Mary have £5000.
8 friends + Mary = 9 people
flight = £279 × 9
= £2511
accomodation = £184 × 9
= £1656
flight + accomodation = £4167
£5000 - £4167
= £833
Calculate the slope of the line on the graph
Answer:
3.5 (meters per second)
Step-by-step explanation:
To calculate the slope, we need two points. Let's see if we can select two points from the graph.
From the graph, we can pick out two possible points.
At the beginning, (0,2.5) is a valid candidate.
And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:
[tex]m=\frac{20-2.5}{5-0}[/tex]
Simplify:
[tex]m=\frac{17.5}{5}\\ m=3.5[/tex]
Thus, the slope is 3.5 meters per second.
Further notes:
And the entire equation will be:
[tex]m=3.5s+2.5[/tex]
Simplify each expression 7(9k + 6m)
Answer:
The correct answer is 63k + 42m.
Step-by-step explanation:
To solve this problem, we must remember how to use the distributive property. The distributive property tells us that if we have a coefficient outside of the parentheses (in this case, 7), we can multiply each term inside the parentheses by this coefficient and add the products together. This is modeled below:
7(9k + 6m)
(7*9k) + (7 * 6m)
63k + 42m
Therefore, the correct answer is 63k + 42m.
Hope this helps!
write one-half times a number minus 4. use x as a variable
Answer:
[tex]\frac{1}{2}[/tex]x-4
Step-by-step explanation:
Answer:
1/2 (x)-4
Step-by-step explanation:
Hopes this helps
How do I find f(2) if f(x)=2x-1
I hope this helps you
let's write 2 for x
f(2)=2.2-1
f(2)=4-1
f(2)=3
Margo spends 0.25 of her paycheck on a new dress, One-eighthof her paycheck on shoes, and $24 on a birthday present. If she spent $60 altogether, how much was Margo’s paycheck?
Answer:
96
Step-by-step explanation:
.25x + .125x + 24 = 60
.25x + .125x = .375x
.375x + 24 = 60
60 - 24 = 36
.375x = 36
36/ .375
x = 96
Answer:
96
Step-by-step explanation:
I TOOK IT ON EDGGGGGGG
[tex] |x + 9| - 4 = 2x[/tex]
Find the find the solutions
Answer:
x = 5 when x >=-9
Step-by-step explanation:
| x + 9 | - 4 = 2x
x + 9 - 4 = 2x
x - 2x = 4 - 9
-x = - 5
x = 5
x < - 9 no solution
| x + 9 | - 4 = 2x
| -10 + 9 | - 4 = 2(-10)
| -1 | - 4 = -20
1 - 4 = -20
-3 = -20
x >= -9 no solution only x = 5
| x + 9 | - 4 = 2x
| -9 + 9 | - 4 = 2(-9)
| -1 | - 4 = -18
1 - 4 = -18
-3 = -18
2. It takes 6 eggs to make 2 loaves of banana bread. How many eggs are needed to make 1 loaf of
bread?
Answer:
3
Step-by-step explanation:
Answer:3
Step-by-step explanation: because half of 6 eggs are need to make 2 loaves so split that in half and you have 3
can someone help me solve this please + ( − )2
How do I solve for x?
2x + 2x + 15 - x +4x - 7 + 9 = 94
8x - x + 17 = 94
7x = 94 - 17
7x = 77 / : 7
x = 11 [ m }
Given the diagram above, m∠Z is:
Answer:
z = 120º
Step-by-step explanation:
t + 2t + t + 2t = 360º
60 + 2(60) + 60 + 2(60) = 360
t = 60
2t = z
z = 120º
This is all based on the fact there there are 360º in a quadrilateral.
18 n squared + 120 n - 378
Answer:
18n^2+120-378
Step-by-step explanation:
18n^2+120-378
The above expression can't be simplified further because the terms aren't like terms.
Hope this helps ;) ❤❤❤
Answer:
18n squared + 120n - 378
4.243 + 120n + 378
124.243 + 378
502.243
what is 7vr - (-7rv)=
Answer:
14vr
Step-by-step explanation:
7vr - (-7rv)=
Subtracting a negative is like adding
7vr + (7rv)=
Changing the order of rv to vr
7vr + (7vr)=
Combing like terms
14vr
what does -11 - (-6) =
Answer:
-5
Step-by-step explanation:
HELP HELP HELP HELP PLSSS
Answer:18
I hoped it helped
Answer:
you have to use P.E.M.D.A.S
Step-by-step explanation:
Parentesis, Equation, Multiplication,Divied,Add, Subtracting
What is the decimal of the fraction 7/9?
Answer:
0.77777777777777777777777777777777(the 7 repeats forever)
Step-by-step explanation:
Answer: 0.78
To find the decimal of a fraction, you divide the numerator by the denominator. 7 ÷ 9 is equal to 0.77777... which is equal to 0.78 when rounded.
simplify 7 to 6th power to 7 to the 5th power
Describe a single transformation the has the same effect as rotations a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis
Answer:
reflection over the line y = x
Step-by-step explanation:
A transformation is the movement of a point from its initial location to its new location. If a shape is transformed then all its points are also transformed. Types of transformations are rotation, translation, dilation and reflection.
If apoint A(x, y) is rotated 90 degrees clockwise around the origin then the new location is at A'(y, -x). Then if the point A'(y, -x) is reflected over the x axis the new location is A" (y, x)
If a point A(x , y) is reflected over y = x, the new coordinate is A'(y , x)
A transformation that corresponds to rotating a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis is a reflection over the line y = x
Evaluate the following function for x=−4 f(x)=2x+5 A −13 B −3 C 13 D 3
Answer:
[tex]\huge\boxed{B. \ -3}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x+ 5[/tex]
Put x = -4
[tex]f(-4) = 2(-4) + 5\\f(-4) = -8+5\\f(-4) = -3[/tex]
The low temperatures for a week in Edmonton, Alberta are -15 C, -12 C, -10 C, -12 C, -18 C, -20 C, and -25 C. What is the mean low temperature for the week? Show your work PLZ
-15.7
Step-by-step explanation:
2
-15
-12
-10
-12
-18
-20
-25
-------
-110
7 divide by -110=-15.7
given the equation y = 2x - 8, find the ordered-pair solution when x = 4 and the ordered-pair solution when y = 4
Answer:
When x = 4, (4, 0)
When y = 4, (6, 4)
Step-by-step explanation:
To find the ordered-pair solution when x = 4, plug 4 into the x of the equation.
y = 2x - 8
y = 2(4) - 8
y = 8 - 8
y = 0
This produces the ordered pair (4, 0).
To find the ordered-pair solution when y = 4, plug 4 into the y of the equation.
y = 2x - 8
4 = 2x - 8
12 = 2x
6 = x
x = 6
This produces the ordered pair (6, 4).
Julie has a jewlery box shaped like a cube. The volume of the jewlery box is v cubic inches. Write an
expression that represents the edge length of Julie's jewlery box, in inches.
Answer: ∛v
Step-by-step explanation:
Since we know volume is measured height x width x length, we know the equation we'd use here would be:
___ x ___ x ___ = v in³
If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.
When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.
In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.
I really hope I was able to explain easy enough, feel free to ask anything else!
Solve the system of equations.
2x + 7y = 3
x= -4y
Answer:
(12, -3)
Step-by-step explanation:
You can solve it algebraically or graphically. Graphically you find the intersection point. Algebraically with substitution/elimination.
Find EF given E(-7, -2) and F(11, 3). Round your answer to the nearest thousandth (3 decimal places).
Answer:
18.682
Step-by-step explanation:
Given that :
E = (-7, - 2) ; x1 = - 7 ; y1 = - 2
F = (11, 3) ; x2 = 11 ; y2 = 3
EF = √((x2 - x1)² + (y2 - y1)²)
EF = √((11 - -7)² + (3 - -2)²)
EF = √((11 + 7)² + (3 + 2)²)
EF = √(18² + 5²)
EF = √324 + 25
EF = √349
EF = 18.6815
EF = 18.682 units (3 decimal places )
10+80-60x3 divided by 4 -7 x 3 +6
Answer:
90/ 11 or 8.18
Step-by-step explanation:
(10+80-60 * 3) / ( 4 -7 x 3 +6)
-90/-11
90/11
8.18
What’s the sum of the number m and the number after it?
Answer:
wat number put the value there
The required sum of the number m and the number after it 2m + 1.
Given that,
To determine the sum of the number m and the number after it.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
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.
Let the number m and the number after m is m+1
Now the sum = m + m + 1
= 2m + 1
Thus, the required sum of the number m and the number after it 2m + 1.
Learn more about arithmetic here:
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