Answers
Answer:
Option 3: (5, 1)
Step-by-step explanation:
There are several ways of solving for systems of linear equations, either through graphing, substitution, or elimination.
The graphing method is the easiest, as you only need to plot points on the graph using the y-intercepts and the slopes.
I will be demonstrating the graphing method.
Given the systems of linear equations:
Equation 1: y = x - 4
where the slope, m = 1, and y-intercept (0, -4).
Equation2: y = -x + 6
where the slope, m = -1, and y-intercept (0, 6).
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b).
Graphing Instructions:For Equation 1, plot the y-intercept, (0, -4) on the graph. Then use the slope, m = 1 (rise 1 unit, run 1 unit) to plot other points on the graph. Repeat this process until you have enough points to connect a line with.
Repeat these same procedures for graphing Equation 2, start by plotting its y-intercept at (0, 6), and its slope, m = -1 (down 1 unit, run 1 unit).
Solution:
The intersection of both lines occurs at point, (5, 1), which is solution to the given systems of linear equations. Therefore, the correct answer is the third option, (5, 1).
Attached is the screenshot of the graphed systems of linear equations, where it shows the point of intersection at (5, 1).
Related Questions
unas pinzas se usan para sacar una espina que opone 0,5N de resistencia. la pinza mide 8 cm y la presion de ejerce a 4 cm de fulcro.
Answers
Answer:
its 12cm
Step-by-step explanation:
What is the solution to x 4 – 12x 2 + 10 > 0?
Answers
Answer:
X>5/4
Step-by-step explanation:
What is the solution to x 4 – 12x 2 + 10 > 0?
I really need help!
6. 4a - 6b
7. 9a - 3b
My teacher wants me to simplify these, but I cant solve them. I have even tried a calculator and it says no like terms.
Answers
Answer:
6. 2(2a-3b) 7. 3(3a-b)
Step-by-step explanation:
6. 4a-6b , 2^2 .a-(2.3)b = 2(2a-3b)
7. 9a-3b , 3^2. a-3b =3(3a-b)
When two number cubes are rolled, what is the probability of getting 5 or 4 as the product of the two numbers
Answers
Answer:
5/36
Step-by-step explanation:
number cubes are rolled = dies that have 6 faces with numbers 1,2,3,4,5,6
Getting 5 or 4 as the product of the two numbers.
How many ways we can get 5 or 4 as a product?
5 ways : 1*4, 1*5, 2*2, 4*1, and 5*1
All possible outcomes are 36 (see table)
P = ways to get 4 or 5 as a product/ all possible ways = 5/36
Translate the sentence into an equation.
Twice the difference of a number and 2 is 9.
Use the variable w for the unknown number.
Answers
Answer:
2(w-2) = 9
Step-by-step explanation:
Check:
2w - 4 = 9
2w = 13
w = 6.5
2(6.5 - 2) = 9
2(4.5) = 9
9 = 9
Steve works as a football referee for 10 hours a week, and as a bus driver for 30 hours per week.if both jobs pay $21 per hour,how much does Steve earn each week?
Answers
Answer:
$840
Step-by-step explanation:
First, add 30 to 10.
Then, multiply your answer (40) by 21.
Finally, you get your final answer of $840.
For each ordered pair, determine whether it is a solution to 5x+7y=-3.
Is it a solution?
(-4,-3)
(-2,1)
(6,0)
(5, – 4)
Answers
Answer:
-2,1 I am pretty sure that is correct.
3. For each object, choose an appropriate scale fora
drawing that fits on a regular sheet of paper, Not all of the
scales on the list will be used,
20
Objects
A. A person
B. A football field
(120 yards by
53, yards)
C. The state of
Washington
(about 240
miles by 360
miles)
The floor plan
of a house
E. A rectangular
farm (6 miles
by 2 mile)
Scales
1. 1 in : 111
Di cm: 1m
3. 1:1000
4. Ift: 1 mile
5. 1:100,000
6.1 mm: 1 km
7. 1:10,000,000
Answers
Answer:
Step-by-step explanation:
A person: 1 in : 1 ft
A football field (120 yards by 53 1/3 yards) is 10,000,000
C The state of Washington (about 240 miles by 360 is 1 fit: 1 mile
D The floor plan of a house is 1 mm: 1 km
E A rectangular farm (6 miles by 2 mile) is 1 cm : 1 cm
What is the greatest common factor of 64xyz−36xy+24x?
Answers
1) Find the Greatest Common Factor (GCF).
4x
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4x(\frac{64xyz}{4x} +\frac{-36xy}{4x} +\frac{24x}{4x})[/tex]
3) Simplify each term in parentheses.
[tex]4x(16yz-9y+6)[/tex]
The greatest common factor of equation A = 64xyz - 36xy + 24x is 4x
A = 4x ( 16yz - 9y + 6 )
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 given by
A = 64xyz - 36xy + 24x
Now , the Greatest Common Divisor is the highest number that divides exactly into two or more numbers. It is also expressed as GCF
So , the equation A can be factorized as
Taking 4x as the common term of the equation , we get
A = 4x ( 16yz - 9y + 6 )
So , the common term is 4x and the greatest common factor of the equation A is 4x
Therefore , the GCF is 4x
Hence , The greatest common factor of equation A = 64xyz - 36xy + 24x is 4x and A = 4x ( 16yz - 9y + 6 )
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find the gcf of 18 and 16
Answers
Answer:
2
Step-by-step explanation:
Factors for 18: 1, 2, 3, 6, 9, 18
Factors for 16: 1, 2, 4, 8, 16
Common factors are: 1, 2. 2 is the greatest digit in this case so this is your final answer.
Use an equation to find the value of k
so that the line passing through (−4,k)
and (6,−7)
has a slope of −1/-5
.
Answers
Answer:
Explanation:
The slope can be found by using the formula:
m
=
y
2
−
y
1
x
2
−
x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substitute the values given in the problem and solve for
K
:
1
=
4
−
−
K
−
1
−
2
1
=
4
+
K
−
3
−
3
×
1
=
−
3
×
4
+
K
−
3
−
3
=
−
3
×
4
+
K
−
3
−
3
=
4
+
K
−
3
−
4
=
4
+
K
−
4
−
3
−
4
=
4
−
4
+
K
−
7
=
0
+
K
−
7
=
K
K
=
−
7
Answer link
What is 3 3/7 in it's simplest form?
Answers
Answer:
Mixed Number: 3 3/7
Improper Fraction: 24/7
Step-by-step explanation:
3 3/7 is already in its simplest form. However, we can also turn it into an improper fraction.
3 3/7 --> 24/7
You get that by multiplying 3 and 7 (21) and then adding the numerator (3) to get 24. The denominator (7) remains the same. All in all, it becomes: 24/7
Solve the equation or formula for the variable specified
x=3y-9, for y
Answers
Answer:
y=1/3x+3
Step-by-step explanation:
Mike bought a set of golf clubs that cost k dollars. He signed an installment agreement requiring
a 5% down payment and monthly payments of g dollars for 12 years.
a.
Express his down payment algebraically.
b. How many monthly payments must Mike make?
C.
Write expressions for the total amount of the monthly payments and the finance charge.
Answers
Using the appropriate interest relation, the solution to the problems posed are :
Down payment = 0.05k 144 monthly payments Total monthly payment made = 144gDown payment :
5% of total cost Total cost = k5% × k = 0.05k
B.)
Number of monthly payments :
Number of months per year = 12
Number of years = 12
Number of monthly payments = 12 × 12 = 144
C.)
Total charge :
Monthly payment = $g
Number of monthly payments × amount paid
g × 144 = 144gLearn more : https://brainly.com/question/25644130
What does s equal 2 plzz I need it plzzz
Answers
Answer:
16
Step-by-step explanation:
another brainlest please
Nicole bought a meal in a town with a 8% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cost of the meal if she orders a $15 menu item.
Answers
Answer: the total cost of the meal is $19.35.
Step-by-step explanation
Choose all the situations that are independent
A.Two cards are drawn (with replacement).
B.Die is thrown and a coin flipped.
C.A die is thrown and the same die is thrown again.
D.Two marbles are pulled from a deck (without replacement)
Answers
Answer: A and D
Step-by-step explanation: A and D are the only events in which only one type of object is used.
All the situations that are independent are B. Die is thrown and a coin is flipped, C. A die is thrown and the same die is thrown again and D. Two marbles are pulled from a deck (without replacement).
How do you calculate Probability?
The Probability of an event can be calculated through chance formulation via absolutely dividing the favorable quantity of outcomes through the overall wide variety of possible effects.
How do you provide an explanation for probability?Probability is the threat that something will show up, or how probable it is that an event will occur. when we toss a coin inside the air, we use the phrase possibility to refer to how likely it's miles that the coin will land with the heads aspect up.
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a car drives at a speed 90 km/h for 2 hours and 20 mintues, how far does the car drive?
Answer in km.
Answers
What is the y-intercept of the following equation? *
*
y = – 11x – 5
Answers
Answer:
(0,-5)
Step-by-step explanation:
(Please someone help me!) (No links!)
Answers
Answer: 1 4/5 / 2/7 = 63/
10
= 6 3/10
= 6.3
Step-by-step explanation:
Conversion a mixed number 1 4/
5
to a improper fraction: 1 4/5 = 1 4/
5
= 1 · 5 + 4/
5
= 5 + 4/
5
= 9/
5
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/
5
= 5/
5
b) Add the answer from previous step 5 to the numerator 4. New numerator is 5 + 4 = 9
c) Write a previous answer (new numerator 9) over the denominator 5.
One and four fifths is nine fifths
Divide: 9/
5
: 2/
7
= 9/
5
· 7/
2
= 9 · 7/
5 · 2
= 63/
10
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/
7
is 7/
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - nine fifths divided by two sevenths = sixty-three tenths.
Answer:
Box 5= 9
Step-by-step explanation:
Step1: convert 1 4/5 to a fraction. 9/5
9/5÷2/7
Step2: use the KCF method (keep, change, flip) you'll keep the 9/5 then you'll change the ÷ to x, then you will flip the 2/7 to7/2
9/5 x 7/2= 63/10
Box 5= 9
Solve the system of equations. 2x - y + 3z =5, -6x + 3y - 9z = -15, 4x - 2y + 6z = 10
Answers
2x+3z=y+5
Step 2: Add -3z to both sides.
2x+3z+−3z=y+5+−3z
2x=y−3z+5
Step 3: Divide both sides by 2.
2x/2
=y−3z+5/2
x=1/2y+
−3/2z+
5/2
Answer:
x=1/2y+
−3/2z+
5/2
A speedy biker can travel 5 km per t hours. What expressions best illustrates the situation
Answers
Answer:
5 km
--------
t
Step-by-step explanation:
The biker's speed is the unit rate
5 km
-------- where t is in hours
t
the truck travels 31 miles in one hour. at that rate, how far can the truck go in 18 hours ?
____ miles
Answers
Answer:
558 miles
Step-by-step explanation:
You would just take 31 and times it by 18 which would give you 558 miles :)
Hope this helps you :)
Have an amazing day <3
Answer:
558 miles.
Step-by-step explanation:
31 x 18 = 558 !
What is the circunference of this circle?
r = 2 km
Answers
Answer: C≈12.57km or 12570 m
Step-by-step explanation:
circumference of circle. = 2πr
= 2× 22/7× 2
= 12.57km
=12.57. ×. 1000 m
= 12570 m
Can someone help me please
Answers
Answer:
Step-by-step explanation:
Because 2 1/4=2 2/8
so 2 2/8 - 1 1/8 equals 1 1/4
:)
1) If you can read 40 pages in 2 hours, how many pages can you read in 5 hours?
es
A) 20
B) 80
C) 100
D) 200
Answers
Answer:
C) 100
Step-by-step explanation:
If you can read 40 pages in 2 hours that means you can read 20 pages in 1 hour. therefore in 5 hours you can read 20 times 5 = 100 pages
What is the interval notation for all real numbers?
Answers
Answer:
15 15 17 17 19 30
Step-by-step explanation:
to ne and to 69 04 16 97 50 27
The sum of a number times 8 and 23 s greater than or equal to -20
Answers
ughhhhhhh why does it need to be 20 characters
A line with a slope of –1 passes through the point (–6, 4) . What is its equation in slope -intercept form?
Answers
Answer:
y=-1x-2
Step-by-step explanation:
allus
Find the area of the circle.
Use 3.14 for T.
O
d = 12 ft
A = [?] ft2
A=Tr2
Enter
Answers
Answer:
Step-by-step explanation:
