2. A system of equations is solved by finding the intersections of when f(x) = g(x).
False
True

Answers

Answer 1

Answer:

true

Step-by-step explanation:

hard to explain,

hope it helps

Answer 2

It is true that when f(x) = g(x), the system of the equation is solved.


A statement to justify that A system of equations is solved by finding the intersections of when f(x) = g(x).


What is the equation?

The equation is the relationship between variables as is an example of a polynomial equation.

Let, f(x) = ax+ by  - - - - ( 1 )
     g(x) = cx + dy - - - - -( 2 )
Both equations contribute to systems of equation.

When solving both equations ( 1 ) and ( 2 ).
We get values of x and y this x and y when put in the equation ( 1 ) and  ( 2 ) we will get the same result and the result implies f(x) = g(x). So, it is true that when the system of equation is solved by intersections f(x) = g(x).


Thus, It is true that when f(x) = g(x), the system of the equation is solved.

Learn more about the equation here:

brainly.com/question/10413253

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Related Questions

using the method of completing the square to solve the quadratic equation ::
x^2-20x+24=0
which number would have to be added to "complete the square"?

Answers

Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

[tex] {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4[/tex]

Find the value of y.

Answers

for this question you would need to utilize ratios to find the side lengths. For example, set up a ratio between the big triangle with the small triangle to find a side length

Answer:

Step-by-step explanation:

DB=√(y²-25)

again DB=√(x²-36)

so √(y²-25)=√(x²-36)

squaring

y²-25=x²-36

x²=y²-25+36

or x²=y²+11

also x²+y²=(6+5)²

x²+y²=121

y²+11+y²=121

2y²=121-11

2y²=110

y²=110/2=55

y=√55

Which equation describes the locus of points 5 units from points (3, -4)?
A) (x+3)^2 + (y-4)^2=5
B) (x-3)^2 + (y+4)^2=5
C) (x-3)^2 + (y+4)^2=25
D) (x+3)^2 + (y-4)^2=25
***YOU DON'T HAVE TO EXPLAIN***

Answers

Answer:

I think the D number is correct(squaring on both side)

F(x) = x^2, g(x) = 2/3 x^2 comparison

Answers

Answer:

g(x) is a vertical compression of f(x)

Step-by-step explanation:

Equation of graph 1 :[tex]f(x)=x^2[/tex]

Equation of graph 2 :[tex]g(x)=\frac{2}{3}x^2[/tex]

f(x)→a f(x)

Its is case of vertical stretch or compression

Vertical stretch if |a|>1

Vertical compression if 0<|a|<1

f(x)→a f(x)

So, [tex]x^2[/tex] →[tex]\frac{2}{3}x^2[/tex]

So, [tex]a= \frac{2}{3}=0.67[/tex]

So,0<|a|<1

So,It is a case of vertical compression

So, g(x) is a vertical compression of f(x)

Brea was asked to find the area of a rectangular field they build with square flat blocks. If the sides of the rectangular field were 5/6 and 1/2 kilometers, how many 1/2 kilometers sqaure blocks will the students need to build the field?

Answers

Answer:

need

Step-by-step explanation:

points

2 - (7/8 - 3/4) /'s are fractions

Answers

Answer:

[tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

[tex]2-(\frac{7}{8} -\frac{3}{4} )=\\\\2-(\frac{7}{8} -\frac{6}{8}) =\\\\2-\frac{1}{8} =\\\\1\frac{7}{8} =\\\\\frac{15}{8}[/tex]

Answer:

Brainliest here!

Step-by-step explanation:

2- (7/8 -6/8) = 2-1/8

simplify = 1 7/8   or 15/8

Only one QUESTION I NEED HELP SO BAD I WILL MOST DEFINITELY GIVE BRAINLIEST AND 30 POINTS PLEASE IT'S DUE TODAY

Answers

Answer:

We cannot have a single point of solution

Step-by-step explanation:

When the boundary lines are parallel, we can have no solution,  or infinite solutions.  We cannot have a  single point of solution

Answer:

I believe there is no single solution

Solve for x.

−6≥10−8x

Enter your answer as an inequality.

Answers

Answer:

x≥2

Step-by-step explanation:

-6≥10-8x

+6      +6

= 0≥16-8x

+8x    +8x

= 8x≥16

/8       /8

= x≥2

Answer:

2≤x

Step-by-step explanation:

−6≥10−8x

Subtract 10 from each side

−6-10≥10-10−8x

−16≥−8x

Divide each side by -8, remembering to flip the inequality

-16/-8 ≤-8x/-8

2 ≤x

the ratio of adults to children in a schoolyard is 2 to 23. if there are eight adults in the schoolyard, how many children are there?

Answers

Answer:

92

Step-by-step explanation:

If the ratio of adults to kids is

2:23

it will also be equal as

8:92

Multiplying each half times 4!

Given that 6 > –2, which statements are true? Check all that apply.
(2)(6) > (–2)(2)
StartFraction 6 over 2 EndFraction less-than StartFraction negative 2 over 2 EndFraction
(–2)(6) > (–2)(–2)
StartFraction 6 over negative 2 EndFraction less-than StartFraction negative 2 over negative 2 EndFraction
(2)(6) < (–2)(2)
StartFraction 6 over 2 EndFraction less-than StartFraction negative 2 over 2 EndFraction

Answers

Answer:

1,4,6,  are the answers

Step-by-step explanation:

Answer:

the first, the fourth and the sixth

Step-by-step explanation:

i just did it

30 POINTS!!!!!Which of the following expressions has a value that is less than - 1/2 ? Select all that apply.

A + B
0 - E
B + D
E - F
C - A

Answers

Answer:

2, and 4 and 5 are possible solutions.

Step-by-step explanation:

It's not confirmed that 4 and 5 are, but they could be. 2 is a definite, unless E=.002 or something like that.

Pls help for the love of yeetus deleteus

Answers

Answer:

C 6 yd by 7 yb

Step-by-step explanation:

Answer: De ansa is A m African sista.

Step-by-step explanation:

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?

Answers

Answer:

[tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].

Step-by-step explanation:

If a line passing through two points, then the equation of line is

[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that the passing through (1,3) and (-9,-2).  So, equation of line in point slope form is

[tex]\Rightarrow (y-3)=\dfrac{-2-3}{-9-1}(x-1)[/tex]

[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x-1)[/tex]

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Now,

[tex](y-3)=\dfrac{1}{2}(x-1)[/tex]

[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x}-\dfrac{1}{2}(1)[/tex]

[tex]\Rightarrow y=\dfrac{1}{2}(x}-\dfrac{1}{2}+3[/tex]

[tex]\Rightarrow y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Therefore, the required equation is [tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].

Answer:

The Answer is C

Step-by-step explanation:

i think This is correct

Which statement describes the graph of h (x)?

Answers

Answer:

The 4th option

Step-by-step explanation:

-3 will make you go down

6. Given the function f(x) = –5x + 2, find the range of f(x) for x = –1, 0, 1.
options:
A. –7, –2, 3
B. 7, 2, 3
C. –7, –2, –3
D. 7, 2, –3

Answers

Answer:

it is D = 7, 2, -3

Step-by-step explanation:

step 1

-5 x -1 + 2 = 7

step 2

-5 x 0 + 2 = 2

step 3

-5 x 1 + 2 = -3

hope this help's

Answer: D = 7, 2, -3

Step-by-step explanation:

John takes out a personal loan for $5,000 at an annual interest rate 7.5%, compounded monthly. He plans to pay off the loan (including interest) in 3 years.

Answers

Answer:

155.53

Step-by-step explanation:

I know where this question is from hahaha

P
L
Z

H
E
L
P

M
E
!
!
!

Answers

Answer:

slope = - 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = - 1, 22) and (x₂, y₂ ) = (1, 14) ← 2 ordered pairs from the table

m = [tex]\frac{14-22}{1-(-1)}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4

what does BC equal ?

Answers

Answer:

28

Step-by-step explanation:

bc = df x 2

14 x 2 = 28

I hope this helps

f(x)=x^2
g(x) = (x– 9)^2 +3
We can think of g as a translated (shifted) version of f.

Answers

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=(x-9)^2+3[/tex]

If f(x) is a parent function, then g(x) can be written in the form of f(x) as

[tex]g(x)=f(x-9)+3[/tex]        ...(1)

The translation is defined as

[tex]g(x)=f(x+a)2+b[/tex]       ... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=-9,b=3[/tex]

It means, to get the function g, shift f up by 3 units and to the right by 9 units.

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

What is the greatest common factor of 90 xy2 and 12xy?
6xy
B.
6xy
C.
12xy
D.
12xy?
Reset​

Answers

Answer: B 6xy2

Step-by-step explanation:

because 90xy3 and 12xy are made by 6xy2.

does anyone know this?

Answers

Answer:

6x^2

Step-by-step explanation:

What goes in the box is

2x* 3x

6 x*x

6x^2

Can someone please tell me how to find the value of x.

Answers

Answer:

2.547 = x

Step-by-step explanation:

tan 23 = x/6                  Use this equation to find the value of x

0.4245 = x/6                 Multiply both sides by 6

2.547 = x

Find two consecutive whole numbers that square root 2 lies between.

Answers

Answer:

1 can be written as √1 and 2 can be written as √4 and because 1 < 2 < 4, our answer is 1 and 2.

An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely? (5 points)

1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hours
3 ⋅ 12 hours

HELP ASAP U WILL GET BRAINLIEST

Answers

The second cause the answer is four and that’s answer equals four-

the slope of the line below is 2. use the labeled point to find a point-slope equation of the line. (1, 9)

Answers

Answer:

Step-by-step explanation:

y - 9 = 2(x - 1)

y - 9 = 2x - 2

y = 2x + 7

Which set represents the same relation as the table below? x f(x) 0 5 4 2 6 9 9 10 StartSet (0, 5), (4, 2), (6, 9), (9, 10) EndSet StartSet (5, 0), (2, 4), (9, 6), (10, 9) EndSet StartSet 0, 2, 4, 5, 6, 9, 10 EndSet StartSet 2, 5, 9, 10 EndSet

Answers

Answer:

1) {(0,5), (4,2), (6,9), (9,10)}

Step-by-step explanation:

Lets right the table in more clearer view.

x         f(x)

0           5

4           2

6           9

9          10

The relation in coordinates form is written as (x, y) , x being the first term and y being the second term.

For x = 0, y = 5, so it can be written as (0,5)

Similarly, we can write the next values as:

(4,2)

(6,9)

(9,10)

So the data in the table is:

(0,5), (4,2), (6,9), (9,10)

It can be written is a set form

{(0,5), (4,2), (6,9), (9,10)}

Which is the same as option 1.

Hence, Option 1 is correct.

Answer:

A

Step-by-step explanation:

took the quiz edge 2020

The graph shows the numbers of miles two cars travel.





Car B travels ___ more miles than Car A each hour.

Answers

Answer:

b goes 5 miles more than a, in 1 hour

Answer: 5 miles more than car A each hour

Step-by-step explanation: We have to look at each line carefully and the steepness as well as the numbers and we could clearly see that Car B thus travels 5 more miles than car A each hour!

Hope this helps <3

-Carrie

P.S. Please be sure to mark brainliest

STAY SAFE

A jar of quarters and dimes contains $20.00. There are 110 coins in all. How many of each are there?

Answers

Answer:

There are 50 dimes and 110-50 = 60 quarters in the collection.

Step-by-step explanation:

Let D be the number of dimes.

Then the number of quarters is (110-D).

The "value equation" is

10D + 25*(110-D) = 2000.

Simplify and solve for D:

10D + 2750 - 25D = 2000,

-15D = 2000 - 2750,

-15D = -750,

D = %28-750%29%2F%28-15%29 = 50.

A rectangle has a length 2x+1 and width x+3.
Write an expression that shows the area of
the rectangle. Be sure to simplify your
ansver.

Answers

Answer:

3x + 3

Step-by-step explanation:

to find the area we do length times width so to find the area of this rectangle we do 2x + 1 * x + 3

for this equation we have an order of operations problem we have to multiply 1 * x first so the answer becomes 3x + 3 because after the order of operstions the equation becomes 2x + 1x + 3

we then combine like terms / the x's

2x + 1x = 3x

then add 3

3x + 3

In the number
23.45, the digit
4 is in the Select...
place.

Answers

Answer:

tenths place

Step-by-step explanation:

tens  ones . tenths hundredths

2          3    .    4            5

The four is in the tenths place

Let's use the place value chart.

You can see that the digit 4 is in the tenths place.

So the value of the digit is 4 tenths.

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