Solve the system of equations by graphing. [x+y=4 7x-6y=54
Answers
Answer:
(x,y)=(6,-2)Step-by-step explanation:
to understand thisyou need to know about:linear equationsystem of linear equationsolving system of linear equation by graphingPEMDASgiven:[tex] \begin{cases} \sf x + y = 4 \\ \sf7x - 6y = 54 \end{cases}[/tex]tips and formulas:to solve system of linear equation by graphing we have to simplify the linear equations to slope-intercept formslope intercept form:y=mx+blet's solve:let's simplify first linear equation to slope -intercept form
x+y=4
y=-x+4
table for this equation
see the first attachment picturelet's simplify first linear equation to slope -intercept form
[tex] \sf7x - 6y = 54[/tex]
[tex] \sf - 6y = - 7x + 54 \\ \sf \frac{ - 6y}{ - 6} = \frac{ - 7}{ - 6} x + \frac{54}{ - 6} \\ \sf y = \frac{7}{6} x - 9[/tex]
table for this equation
see the second attached picturesolutions by graphing the system of linear equation
see the last attached picturenote: the red line is for first equation as well as the green line is for second equation and the black dot is the coordinates of the solutions of x and y
Related Questions
A parabolic mirror to be used in a
searchlight measures 40 centimeters tall
and 80 centimeters wide. It's light bulb
needs to be placed at the focus for the light
to magnify properly. Find the distance from
the vertex to the bulb.
Hint: Assume the parabola opens
downward and has its vertex at the origin.
PLEASE HELP !!!!
Answers
Trina collects eggs from her hens.
She labels their eggs small or medium or large.
20% of the eggs she collected in May were small.
24% of the eggs she collected in May were large.
(a) What percentage of the eggs she collected in May were medium?
Answers
Answer:
56% of her eggs were medium in may
Step-by-step explanation:
if 20% of the eggs she collected in May were small, 24% of the eggs she collected in May were large. All you have to do is add them up which is 44% and minus it by 100% which is 56%
~Batmans wife dun dun duuuun
What is the simple interest on $360 borrowed for 30 months at 12.3%?
PLEASE SHOW HOW YOU SOLVEDIT!!! :D
Answers
Answer:
$110.70
Step-by-step explanation:
I=PRT
P (principal)=360
R(rate)=12.3%
T(time)=30 months (2 and half years)
I=360*12.3%*2.5
=$110.70
Just to note 12.3% is also 0.123 we sometimes change it into a decimal.
In a fish tank there are 10 fish. 5 are goldfish, 1 is an angelfish, and 4 are guppies. If a fish is selected at random, find the probability of getting a guppy or an angelfish.
Answers
Answer:
40% guppy 10% angel
Step-by-step explanation:
I can't figure out if it's B or d
Answers
Answer:
D
Step-by-step explanation:
the answer is going to be d
Whitney works for Interchim Inc selling purification equipment. She earns a base salary of $2200 per month
plus 2.5% commission on all her sales. If Whitney was able to sell goods valued at $63,000, what was her total
income for the month? (commission plus salary!)
I NEED HELP
Answers
Answer:
$60745
Step-by-step explanation:
2,5÷100×2200
=55
55+2200
=2255
therefore 63000-2255
= $60 745
20 POINTS
A line passes through the points (7,-3) and (7,11).
a. What is the equation for the line?
b. Does the equation you wrote in part a represent a function? Explain why or why not.
Answers
Answer:
x = 7; NO
Step-by-step explanation:
Notice that the x-coordinate remains the same, 7, for both points, whereas the y-coordinate changes. Thus, the line through these two points is a vertical one: x = 7. No, this is not a function, since one x value (7) has more than one y values associated with it.
1.
4 sides equal sides and 4 right angles:
4 sides equal sides and 4 right angles
Answers
Answer:
a square
Step-by-step explanation:
Please plz help angles inside circles. and segments
Answers
Answer:
the first one
Step-by-step explanation:
9 • (7 – 4)2 + 9 simplify asap
Answers
Answer:
90
Step-by-step explanation:
9 x (3)2 + 9 first do the parenthesis
9 x 9 + 9 I am assuming the 2 was an exponent
81+9
90
Does anyone know this? Need it ASAP.
Answers
Answer: [tex]12*\sqrt{2}[/tex]
Step-by-step explanation:
We have the equation:
[tex]\frac{14}{\sqrt{2} } + \sqrt{50}[/tex]
we know that:
14*14 = 196
then:
14 = √196
[tex]\frac{\sqrt{196} }{\sqrt{2} } + \sqrt{50} = \sqrt{196/2} + \sqrt{50} = \sqrt{98} + \sqrt{50}[/tex]
Now, we can rewrite:
50 = 2*25
98 = 2*49
This is because we know that 49 and 25 are perfect squares, then:
[tex]\sqrt{98} + \sqrt{50} = \sqrt{2*49} +\sqrt{2*25} = \sqrt{2} *\sqrt{49} + \sqrt{2} *\sqrt{25}[/tex]
Now we can use the common factor √2 and get:
[tex]\sqrt{2} *\sqrt{49} + \sqrt{2} *\sqrt{25} = \sqrt{2}*(\sqrt{49} + \sqrt{25} )[/tex]
and we know that:
7*7 = 49
5*5 = 25
then:
[tex]\sqrt{2}*(\sqrt{49} + \sqrt{25} ) = \sqrt{2}*(7 + 5) = 12*\sqrt{2}[/tex]
the value of b is:
b = 12
Today, everything at a store is on sale. The store offers a 20% discount.
1. The regular price of a T-shirt is $24. What is the discount price?
2. If the regular price of an item is x dollars, what is the discount price in dollars?
3. The discount price of a hat is $14. What is the regular price?
Answers
Answer:
a) $19.2
b) 0.8x
c) $17.5
Step-by-step explanation:
1. We want to find the discount price given the regular price
The discount is 20%
so the discount price will be;
24 - 20% of 24
24 - 4.8 = $19.2
b) We have this as;
x - (20% of x)
x - 0.2x = 0.8x
c) let the original price be x
x - 20% of x = 14
x - 0.2x = 14
0.8x = 14
x = 14/0.8
x = $17.5
What is the Range of
100, 75, 40, 90, 80, 100,
92, 88, 80, 84, 81?
Answers
Answer:
60
Step-by-step explanation:
100 is the greatest value, 40 is the lowest 100-40=60
Answer: 60 i think
Step-by-step explanation:
Help plsssssssssssssss
Answers
Answer:
45
Step-by-step explanation:
r
Answer:
8 centimeters is > 19 millimeters
Step-by-step explanation:
Please for the love of god or whatever, help
Answers
Answer:
[tex]sin 40 = \frac{x}{11}[/tex]
Step-by-step explanation:
[tex]sine = \frac{opposite}{hypotenuse}[/tex]
Side x is the opposite, since it is opposite the angle you are solving for.
Side y is the adjacent, since it is next to the angle you are solving for.
The side measuring 11 is the hypotenuse, since it is across from the right angle.
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AC=16AC=16 and DC=3,DC=3, what is the length of \overline{BC} BC in simplest radical form?
Answers
Answer:
4√3
Step-by-step explanation:
Find the diagram attached
Using the similarity theorem of a triangle based on the legs (sides)
AC/BC = BC/DC
Given
AC = 16
DC = 3
Required
BC
Substitute the given values
16/BC = BC/3
Cross multiply
BC² = 16×3
BC² = 48
BC = √48
BC = √16×3
BC = 4√3
Hence the measure of BC is 4√3
Write the following using algebraic notation, using the letter X for any unknown numbers
I think of a number, multiply by 2, the subtract 9
Answers
Multiply the number x by 2 is 2x
Subtract by 9 is - 9
2 1/4 x 1 1/2 x 5/3?????
Answers
Answer:
20 5/8
Step-by-step explanation:
here u gooooo that's the answer
What kind of transformation on a coordinate grid does each statement describe?
b) The vertex at (x, y) moves to (x + 5, y + 3).
c) The vertex at (x, y) moves to (y, –x).
d) The vertex at (x, y) moves to (y, x).
Answers
c) rotation 90° clockwise
d) reflection over y=x
Solve the inequality 4 x - 7 < 5
Answers
[tex]4x - 7 < 5\\4x < 12\\x < 3[/tex]
4x - 7 < 5
4x + (-7)
For example x = 2
4 * 2 = 8
8 - 7 = 1
1 < 5
Sorry if I did the question wrong.
got some more and more
Answers
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
5%
?
Answers
Answer:
$42.00
Step-by-step explanation:
5% = 0.05
40.00 x 0.05 = 2
5•40=200 divided by 100 =2
The sales tax is $2 so the price after the tax would be $42
Factor each polynomial
36xy²-48x²y
Answers
Answer:
12xy(3y-4x)
Step-by-step explanation:
Stephanie took advantage of the interest-only financing from Rooms-To-Go and borrowed $2,000 with a 15 percent annual interest rate. How much will she have paid in interest after 8 months?
Answers
Answer: $200
Step-by-step explanation
Principal = $2000
Rate = 15%
Time = 8 months = 8/12 = 2/3 years
Interest = Principal × Rate × Time
= 2000 × 15% × 2/3
= 2000 × 15/100 × 2/3
= $200
The interest is $200
find the measure of the angle.
Answers
Answer:
the awnser should be. 165
The temperature during one day in Auckland decreases from 21°C to 17°C. Calculate the percentage decrease correct to 3 significant figures.
please i need a quick answer
Answers
Answer:
19.04%
Step-by-step explanation:
The temperature decreases from 21°C to 17°C.
We need to find the percentage decrease in the value of temperatures.
The percentage decrease in any value is given by :
[tex]\%=\dfrac{|\text{initial value-final value}|}{\text{initial value}}\times 100\\\\=\dfrac{21-17}{21}\times 100\\\\=19.04\%[/tex]
So, the required percentage decrease is 19.04%.
The lengths (in miles) of two highways after t years of construction can be modeled by 20t + 150 and 15t+ 200. What is the difference of the lengths of the highways when 1 = 1 = 4? Explain.
Answers
Step-by-step explanation:
13.5 is the difference of the length of the roads
Find The missing dimension of the circle Diameter= 24in. 
Answers
Answer:
it is a good thing to do with the green
Step-by-step explanation:
first time I have ever been
What is the answer!!!!!?
Answers
Answer:
29 degrees
Step-by-step explanation:
Given
<D = 2x+8
<A = 122
The sum of the adjacent angle of the trapezoid is 180 degrees
<D + <A = 180
2x + 122 = 180
2x = 180-122
2x = 58
x = 58/2
x = 29 degrees
Hence the value of x is 29 degrees
at the snack shack, students attending the football game can buy sodas for $1 and slices of pizza for $3. At fridays game, the snack shack made $250 by selling a total of 180 items. How many sodas were sold? How many pizzas were sold?
Answers
Answer:
126-pizza
124- soda
Step-by-step explanation: