Consider the following pair of equations: y = x + 4 y = −5x − 2 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(-1, 3)
Step-by-step explanation:
to solve using substitution, you have to know the value of either x or y. in this example, they gave you the value of y already: y=x+4.
this means you can substitute the y for (x+4). if we substitute y for (x+4) in the equation y=-5x-2, we get this:
(x+4)=-5x-2
then solve for x
6x=-6
so x=-1
since we know the x value, we can solve for y
y=x+4
y=-1+4
y=3
so the final answer is (-1, 3)
Answer:
(- 1, 3 )
Step-by-step explanation:
Given the 2 equations
y = x + 4 → (1)
y = - 5x - 2 → (2)
Substitute y = x + 4 into (2)
x + 4 = - 5x - 2 ( add 5x to both sides )
6x + 4 = - 2 ( subtract 4 from both sides )
6x = - 6 ( divide both sides by 6 )
x = - 1
Substitute x = - 1 into either of the 2 equations and evaluate for y
Substituting into (1)
y = - 1 + 4 = 3
solution is (- 1, 3 )
Anybody wanna do a Ka.hoot or Quiziz game?
Answer:
me
Step-by-step explanation:
shirely walked 3,520 yards on tuesday. how many total miles would that be?
Answer:
2 miles
Step-by-step explanation:
Brainliest goes to whoever answers correctly try to show work ONLY if you can
Answer: COMPANY A HAS THE LOWEST COST PER SQUARE FOOT
Company A Chart below
1200 $2700
1400 $3150
1600 $3600
1800 $4050
2000 $4500
Company B
Sells it for $2.75 per square foot
Which is the equation of the line through the point (−3, 8) that is perpendicular to the line y=14x+12?
Answer:
y = -1/14x + 109/14
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 14x + 12. Its slope is 14. A line perpendicular to this one will have a slope of -1/14.
Plug this value (-1/14) into your standard point-slope equation of y = mx + b.
y = -1/14x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-3, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -1/14(-3) + b
To find b, multiply the slope and the input of x (-3)
8 = 3/14 + b
Now, subtract 3/14 from both sides to isolate b.
8 - 3/14 = b
112/14 - 3/14 = b
109/14 = b
Plug this into your standard equation.
y = -1/14x + 109/14
This equation is parallel/perpendicular to your given equation (y = 14x + 12) and contains point (-3, 8)
Hope this helps!
which number is in the solution set of the equality x < -8?
A: -2 B: -4 C: -6 D: -10
Answer:
The answer is b
Step-by-step explanation:
Brainliest pls
Which of the following is equivalent to log 9 27?
1.) 3/2
2.) 2/3
3.) 3
4.) 1.452
Answer:
here is the answer as I believe it is correct
1.) 3/2
Please find the area and perimeter
Answer:
Area: 54 in² Perimeter: 36 inStep-by-step explanation:
Area:
A = 6 in · 10 in - 2 in · 3 in = 60 in² - 6 in² = 54 in²
Perimeter:
P = 2·6 in + 10 in + 6 in + 3 in + 1 in + 2·2 in = 12 in + 20 in + 4 in = 36 in
In the real number system where would -35 belong? *
Integer
Rational Number
Whole number
Answer:
Integer
Step-by-step explanation:
Integers includes negative numbers
In the real number system, -35 would belong to the set of integers.
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = -35
In the real number system, -35 would belong to the set of integers.
Integers are the set of whole numbers, their opposites, and zero.
Since -35 is a negative whole number, it is an integer but not a whole number or a rational number.
Hence , the number is an integer
To learn more about equations click :
https://brainly.com/question/19297665
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What is the equation of the line that passes through the point (-5, 4) and has a slope of - 3/5
Step-by-step explanation:
Using point slope form ,
=> ( x - (-5) ) m = ( y - 4)
=> x + 5 = -3/5 ( y - 4)
=> 5x + 25 = -3y + 12
=> 5x + 3y + 13 = 0
NEED HELP! The wind-speed, in miles per hour (mph), was measured every six hours during a day on the Isles od Scilly.
Answer:
That’s not a lot of info...
Step-by-step explanation:
I don't get it can you plz help me >.
Answer:
pie is 3.14 so its dividing 64 by pie
Step-by-step explanation:
Answer:
32 , 16 , 8
Step-by-step explanation:
HELP ASAP!!! HELP FAST PLEASE!!
Answer:
9
Step-by-step explanation:
Dorothy invested $80,000. Some was invested
in high-yield bonds that earned a 10% profit,
and the rest was put into “old economy" stocks
that earned a 12% profit. How much did
Dorothy invest in high-yield bonds if her total
profit on both types of investments was
$9,200?
Answer:
The amount invested in high-yield bonds was $20,000
Step-by-step explanation:
The total amount Dorothy invested = $80,000
The amount that can be earned by investing part of the amount in high-yield bonds = 10% profit
The amount that can be earned by putting the rest of the amount into "old economy" stocks = 12% profit
Dorothy's total profit = $9,200
Let 'x' represent the amount she invested in high-yield bonds, and let 'y' represent the amount she invested in "old economy" stocks, we have;
x + y = 80,000...(1)
0.1·x + 0.12·y = 9,200...(2)
From equation (1), we get;
y = 80,000 - x
Plugging in the above value of 'y' in equation (2), gives;
0.1·x + 0.12·y = 0.1·x + 0.12 × (80,000 - x) = 9,200
0.1·x - 0.12·x + 9,600 = 9,200
-0.02·x = 9,200 - 9,600 = -400
x = -400/(-0.02) = 20,000
x = 20,000
The amount Dorothy invested in high-yield bonds, x = $20,000
(∴ y = 80,000 - x = 80,000 - 20,000 = 60,000
y = 60,000
The amount she invested in old economy stocks, y = $60,000).
Your cookie recipe calls for 3/4 cup of flour. You want to make 3 batches of cookies. Which diagram shows how much flour you need?
Answer: The correct answer is the second one
Step-by-step explanation:
Mrs. Jasmine bought 6 kilograms of rice.After filling 10 containers with the same amount of rice in each, she had 860 grams remaining. How much rice, in grams, is in each of the 10 containers?
Answer:514 grams of rice is in each of the 10 containers
Step-by-step explanation:
Amount of rice bought =6 kilograms of rice.
6 kilograms =6000grams
Amount of rice reaming after filling 10 containers =860g
Amount used to fill up the containers ==6000grams-860grams =5140 grams
To get the amount filled inside the 10 containers since same amount is in each, we divide by 10
5140 grams/10=514 grams
Find the product of the sum and difference. (Please try to answer all of them If not it's OK!)
Answer:
[tex]16 {x}^{2} - 9[/tex]
Step-by-step explanation:
Use the F.O.I.L. method
Answer:
1) [tex]81c^{2}[/tex]-1
2) [tex]16x^{2}[/tex]-9
3) [tex]-4y^{2}[/tex]+25
4) [tex]-w^{2}[/tex]+16
Step-by-step explanation:
Find the slope of the line that passes through the points (1,-4) and (3,-1).
Answer: E
Step-by-step explanation: I used m.athway
A square box is being cut apart and has the measurements shown below. What is the surface are each square is 3.5 inches and there 6 squares
Answer:
73.5 in^2
Step-by-step explanation:
Given data
Dimension of square= 3.5 inches
Area= 3.5^2
Area= 12.25 in^2
Number of square= 6
Hence the total area is
=12.25*6
=73.5 in^2
a) -9f -f=
b) h³ + 8h³ =
c) -3ef² + 4ef² -ef²
d) -2xy + 5xy - 4xy
e) -2ab -7ab + 6ab
ayuda
Step-by-step explanation:
a) -9f -f= -10f
b) h³ + 8h³ = 9h³
c) -3ef² + 4ef² -ef²= 0
d) -2xy + 5xy - 4xy = -xy
e) -2ab -7ab + 6ab = -3ab
write each equation in slope intercept form 9x + 35 = -5y. 2y - 6 = -6x. -11 - 7y = -56
Answer:
y= -9/5x -7
y= -3x +2
y= 45/7
I need to study and this question I have been working on for a hour could someone help me with the question Please show me how to do it and don't post links for the answer
answer :
18.84 is the answer
Expand
8(10-c)
........................................................
Answer:
80 - 8c
Step-by-step explanation:
8(10-c)
80 - 8c
(-13 + 16i) + (4i + 3)
Answer:
Step-by-step explanation:
-10 + 20 i
Answer:
[tex]=-10+20i[/tex]
Step-by-step explanation:
2x-3=4(x+2) step by step plz
Answer:
The answer is -5.5
Step-by-step explanation:
2x-3=4(x+2)
2x-3=4x+8
-2x=11
X=-5.5
A school is building a rectangular stage for its chorus. The stage must have a width of 7 feet. The area of the stage must be at least 84 square feet. (The stage must hold all the singers.) Write an inequality that describes the possible lengths (in feet) of the stage.
Step-by-step explanation:
if L is for length, so
L ≥ 84/7
L ≥ 12 feet
What is 5 7/20 written as a decimal?
Answer:
5.35
Step-by-step explanation:
Answer:
5 7/20 as a decimal is 5.35
Find the value of each trigonometric ratio.
Answer:
SinZ=perpendicular/hypotenuse=15/17 is your answer
pls help!! will give brainliest!
Answer:
It has more than 2 equal sides
Step-by-step explanation:
Evaluate the expression below when n = 2.4. If needed, answer as a fraction or a decimal.
12n−8
Answer:
20.8
Step-by-step explanation:
Plug in 2.4 as n in the expression, and simplify:
12n - 8
12(2.4) - 8
28.8 - 8
= 20.8
So, the answer is 20.8