The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines?
Answers
Answer:
(-9, 5)
Step-by-step explanation:
1. Find the equations of both lines (y = mx +b).
For the table on the left, we can see that the y-intercept is 23 (at x=0, y=23). Hence, b = 23. We can also see that the y-value for the left table increases by increments of 2, meaning that the slope (m) will be 2. Thus:
f1(x) = 2x + 23
For the right table, do the same thing. The table tells us that when x = 0, y = -58 (so b = -58). We also see that the y-value DECREASES in increments of 7, meaning that the slope, m = -7. Thus,
f2(x) = -7x - 58
2. Set the equations equal to each other to find the x-value at which the two equations will intersect.
2x + 23 = -7x - 58
9x = -81
x = -9
3. Plug your newfound x-value into any of the two equations to find the y-value at which both equations will intersect.
y = 2x + 23
y = 2(-9) + 23
y = 5
OR
y = -7x - 58
y = -7(-9) - 58
y = 5
ANSWER: At the point (-9, 5), the two lines intersect. Hence, the solution to the equation is (-9, 5).
Answer:
x = -9 and y =. 5
Step-by-step explanation:
(-2, 19) and (-1, 21)
Slope: (21-19)/(-1- -2) = 2
y-intercept = 21 - (2)(-1) = 23
a) y =2x + 23
(-2,-44) and (-1,-51)
Slope: (-51- - 44)/(-1- -2) = -7/1 = -7
y-intercept: -44-(-7)(-2)=-58
b) y = -7x - 58
Substitute y in equation a.
-7x-58 = 2x + 23
-9x = 81
x = -9
Substitute X by -9 in equation b: y = -7(-9) - 58= 5
y = 5
Related Questions
How do you solve for x?
2(x - 3)^2 - 32 = 0
Answers
[tex] \: \: \: \: \: \: \: \: [/tex]
[tex]x = - 1 \\ x = \: 7[/tex]
Step-by-step explanation:
[tex]2(x - 3 {)}^{2} - 32 = 0[/tex]
divide both sides[tex](x - 3 {)}^{2} - 16 = 0[/tex]
use a²- b² =(a - b ) (a + b) to factor the expression[tex](x - 3 - 4) \times (x - 3 + 4) = 0[/tex]
calculate the difference and the sum[tex](x - 7) \times (x + 1) = 0[/tex]
when the product of factors equals 0 ,at least one factor is 0[tex]x - 7 = 0 \\ x + 1 = 0[/tex]
solve the equation for x[tex]x = 7 \\ x + 1 = 0[/tex]
the equation has 2 solutions[tex]x = - 1 \\ x = 7[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
Urgent…. I need help
You don’t gotta explain
I will mark brainiest asp
Which one is a function?
Answers
A.
Step-by-step explanation:
To find out the answer, there is a method that can be used to find out if a line is a function. It is called the vertical line method. And it also has to be per x, One y value has to be there. Analyzing the graphs, the answer should be option A.
When a child is more than two standard deviations underweight for his or her age, the child is suffering from a condition called _____.
Answers
Evaluate the expression x=7.x+8
Answers
Answer:
15
Step-by-step explanation:
For each time I see x, I replaced it with 7 because I know that x is equal to 7.
I only see one x so I am only replacing that one x so instead of x + 8, I get 7 + 8 and you could split 8 into 5 + 3 and split 7 into 5 + 2.
5 plus 5 is 10. If you are having trouble adding the numbers you could put up 5 fingers first and then add one finger up one by one to still the number 10. Now that just leaves you with 3 + 2.
You could first put up 3 fingers and then add two more to get a total of 5 fingers.
At last, you could just add 10 + 5 to get 15 in total.
Hope this works you!!!
How to write in Simplified slope intercept form
Answers
Answer:
y = -5/3x + 8
Step-by-step explanation:
So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.
JoJo Seaweed walks at a constant rate of 8 ft in 2 s. The table shows the relationship of feet to seconds. What is the constant of proportionality for the relationship of feet to minutes? Record your answer on the grid. Then fill in the bubbles
Answers
Answer:
240 ft/min
Step-by-step explanation:
[Please, help me. I need it quickly]
If cosA+sinA=√2, then prove A=45°.
Answers
Step-by-step explanation:
Start by squaring both sides
cosA+sinA=[tex]\sqrt{2}[/tex]
[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]
Apply Trig identity
[tex]cos^2x+sin^2x=1[/tex]
2cosAsinA+1=2
2cosAsinA=1
Apply Trig Identity
2cosxsinx=sin(2x)
sin(2A)=1
2A=arcsin1
arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]
2A=[tex]\frac{\pi }{2}[/tex]
A=[tex]\frac{\pi }{4}[/tex]
[tex]\pi[/tex] [tex]radians=180^o[/tex]
A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]
Somebody, please help me with this MATH question.
Answers
Will give brainliest
Proof (7 points)
2. Given BC Il DE. Prove triangle ADE - Triangle ABC.
STATEMENTS
REASONS
Answers
Someone plz help me I’m begging
Answers
Answer:
answer is D
pls I don't confirm sorry
Write an exponential equation in the form y = ab^x whose graph passes through points (1,0.84) and (2,1.008)
Answers
Answer:
y = 0.7 * 1.2^x
Step-by-step explanation:
(1, 0.84)
0.84 = ab^1
(2, 1.008)
1.008 = ab^2
-------------------------
To find b divide the second point by the first
ab^2 / ab^1 = 1.008 / 0.84
b = 1.2
----------------------
To find a plug b = 1.2 into the first point
0.84 = a * 1.2^1
0.84 = a * 1.2
Divide both sides by 1.2
0.7 = a
------------------------
The equation is
y = 0.7 * 1.2^x
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
Answers
Answer:
-146
Step-by-step explanation:
so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows
9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146
the 32nd term would be -146
Find the area of the polygon below. ( and please show work)
Answers
Answer:
89.6875
Step-by-step explanation:
you need to find out area of rectangle (length x width) and add area of the triangle (length x width divided by 2)
what would 2 x (x-3) sum be
Answers
Answer:
2x-6 I think
Step-by-step explanation:
Draw a line PQ. Take any point outside it and construct a line parallel to the given line through this point
Answers
Parallel means same slope, so in the image, line PQ is connected by a line. The other point I made has a line parallel through it.
In a population of 128 people, 45 have curly hair, 66 have straight hair, and 17 have no hair. What is the probability of randomly choosing someone with curly hair or no hair?
Answers
answer this questtion
Answers
Answer:
69 degrees
Step-by-step explanation:
Answer:
21gb
Step-by-step explanation:
did the test
what is (−
2
1
)
5
Answers
Step-by-step explanation:
i don't understand your question
Who knows what is 2 x 5 ?
Answers
Identify the form the following equation is in y = 2/3x - 7
Answers
Answer:
Point slope form
[tex]y=mx+b[/tex]
HELP ME PLEASE AAAAAAAAAAA
Answers
Answer:
180°consecutive interior angles are supplementary∠620°, 160°Step-by-step explanation:
The blanks get filled in like this:
Statement 3: m∠6 +m∠4 = 180°
Reason 3: Consecutive interior angles are supplementary
Statement 4: m∠6 +8·m∠6 = 180°
Statement 5: m∠6 = 20°, m∠4 = 160°
_____
You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.
The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...
8·m∠6 = m∠4
This is the substitution that is used in statement 4.
Simplifying that statement gives 9·m∠6 = 180° ⇒ m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.
Help!
How do you find the change in the output value and the change in the input value, in a table?
Thank you, I just need simple instructions :)
Answers
Answer:
You can use ratio to compare the input and output
Step-by-step explanation:
Write a rule to describe each transformation.
- A
- B
- C
- D
Answers
Answer:
A, a dilation of 2
Step-by-step explanation:
The answer is, A dilation of 2 because the image is getting dilated to a bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.
(Pre-image is a shape before a transformation, image is after a ransformation.)
Have a great day friend! :D
PLEASE HELPP!! What is the slope and Y intercept of this equation?
Answers
Answer:
The slope is 10
The y - intercept is 20
Step-by-step explanation:
The equations are written as:
y = ?x + ?
The first ? is the slope of the equation, every time y increases by that amount, x increases by one, the slope here is 10
The second ? is the y-intercept, or the place where x is 0. Here, when x is 0, y is 20, so it is the y-intercept
Ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. At this rate, how many miles can he drive on 1 gallon of gas?
Any help is appreciated!
Answers
Answer:
22
Step-by-step explanation:
Use the Distributive Property to solve the equation.
3(x−6)+8=5x−2
Answers
Answer:
x = -4
Step-by-step explanation:
2x=-2+10
-2=8
x=-4
Answer:
3x-18+8=5x-2
3x-10=5x-2
3x-5x=-2+10
-2x=8
X=-4
Step-by-step explanation:
Have a great day
The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?
Answers
Answer:
34
Step-by-step explanation:
634 - 600 = 34
pls help…. quickkkkkkkkkkk
Answers
Answer: b
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
The shading is above the line, so it must be ≥ or >.
The line is solid, so it must be ≥.
The only choice with ≥ is the answer.
Answer: B.
The volume of one serving of fruit punch
is 3.5 fluid Ounces. How many servings
are there in 29.75 fluid Ounces of
fruit punch?
A. 8.25 Servings
B. 8.5 Servings
C. 9.25 Servings
D. 9.5 Servings
Answers
If you really want the work w the answer it's because
3.5 29.75
----- =
1 x
cross multiply
3.5x=29.75
divide by 3.5
x = 8.5
Make x the subject of the formula x + t = q
Answers
Answer:
x = t - q
Step-by-step explanation:
because to make q, you need to add x and t
so to make x the subject, you should subtract q
Example
x + t = q
t = 7
q = 36
x = t - q
36 -7 = 29
x = 29