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Find the intersection point for the following linear functions.

f(x) = 2x + 3
g(x) = -4x − 27

Answer:

Step-by-step explanation:

Given

Solving for x

Answer:

x = -6

Step-by-step explanation:

4(1 - x) + 3x = -2(x + 1)

~Distribute both sides

4 - 4x + 3x = -2x - 2

~Combine like terms

4 - x = -2x - 2

~Add x to both sides

4 = -x - 2

~Add 2 to both sides

6 = -x

~Divide -1 to both sides

-6 = x

Best of Luck!

Answer:

3

Step-by-step explanation:

Given the following :

Score when there were 4 innings left = 17 to 6

Kim's team = 6 ; opposition team = 17

Opposition didn't score any point in the last 4 innings

Kim's team scored same number of points per inning and also won with the most points

Minimum Number of points Kim's team could have scored per inning :

Let number of points scored in each of the last 4 innings = p

Since they also won eventually:

Then

4p + initial points > opposition point

4p + 6 > 17

4p > 17 - 6

4p > 11

p > 11/4

p > 2.75

Hence, the minimum number of points Kim's team could have scored per inning in the last 4 would be 3( nearest whole number)

Answer:

112 bags o marbles

Step-by-step explanation:

280kg/2.5= 112 bags

Answer:

120

Step-by-step explanation:

i used geogebra :)

Answer:

4x+7 = 5x-20                  

(reason: vertical angles are congruent; property used: distributive)

7 = 1x-20

1x = 7+20

1x = 27

x = 27

Answer:

Is this the complete question? is there a figure for this?

Answer:

B

Step-by-step explanation:

on visits they is not any kind of pattern  it is oppisite or negative with no Relationship and the books are not either

Answer:

it small an blurry

Step-by-step explanation:

Answer: Male population = 26,000

               Female population = 24,000

Step-by-step explanation: Male population = X

                                             Female population = Y

               x+y=50,000

               y=50,000-x-(1st equation)

Again (x+x X 5%) + (y+y X 3%) = 52,020

-> x+5x/100 + y+3y/100 = 52020

->  100x+5x+100y+3y =52020

   ________________

                100

-> 105x+103y = 52020-( 2nd Equation)

Putting Eq 1 into 2 ,

105x+103 ( 50,000-x)= 52,020

-> 105x + 5,150,000-103x = 52,020

->2x = 52,020-5,150,000

->2x = 52,000

    x = 26,000 (Male population)

    y = 50,000-26,000

       = 24,000 (Female population)  

Answer:

The correct option is;

Exactly 3 of the 12 soccer players practiced for at least 75 hours last week,

Step-by-step explanation:

The given information are;

The number of soccer players that practiced = 12 soccer players

The first quartile of the data of the recorded number of hours each soccer player practiced = 75

Therefore, given that that there are 12 soccer players, the number of data points = 12

The value of the 1st quartile is the value of the (n + 1)/4th term

When n = 12, we have;

The 12th quartile = (12 + 1)/4 = 3.25 th term with the values arranged in increasing order;

Therefore, the first quarter has the values for the first 3 players, with the lower practiced hour recorded while the recorded time for the remaining 9 players come after the first quartile;

The correct option is therefore that it must be true that exactly 3 (since we do not represent a player with the remaining fraction of 0.25 in 3.25) of the 12 soccer players practiced for at least 75 hours last week.

Answer:

17

Step-by-step explanation:

The overlapped ones still went to germany but also went to other places to so...6+4+4+3

Answer:

Not sure

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

4/16×100℅

1/4×100℅

25

Answer:

Using the distance formula it is the square root of 61 which is about 7.8 to the nearest tenth soooo if Q

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression [tex]\frac{1}{2} - 1\frac{1}{5}[/tex], we are to find the difference

First convert the mixed fraction [tex]1\frac{1}{5}[/tex] to improper fraction

[tex]1\frac{1}{5}[/tex] = [tex]\frac{6}{5}[/tex]

The expression becomes;

[tex]\frac{1}{2} - \frac{6}{5}[/tex]

Find LCM

[tex]\frac{5-6}{10}[/tex]

Evaluate the resulting expression

[tex]\frac{5-12}{10}\\\\\frac{-7}{10}[/tex]

Hence the correct option is C i.e Negative StartFraction 7 over 10 EndFraction

Answer:

the answer is B

Step-by-step explanation:

Answer:

5/72

Step-by-step explanation:

Answer:

the answer is3xy+9-4x. -3x+3xy

Answer:

3xy+9-4x-7+x. -2x+3xy-(x-2)

=3xy+(9-7)+(-4x+x). = -2x+3xy-x+2

=3xy+2-3x. = (-2x-x)+3xy+2

= -3x+3xy+2

Answer:

1.5 grams of protein.

Step-by-step explanation:

The equation that represents the relationship between protein and fat is as follows :

4p + 9f = 60 ....(1)

We need to find the grams of protein are there if there are 6 grams of fat in the snack.

Put f = 6 in the above equation (1).

4p + 9(6)= 60

4p + 54 = 60

Subtract 54 to the both sides,

4p + 54-54 = 60-54

4p = 6

⇒ p = 1.5 grams

It means the snack contains 1.5 grams of protein.

Answer:

8 + (n-1)*9

Step-by-step explanation:

In the series, we can see that the difference between 2 consecutive terms is always 9, and the sequence starts at 8.

That means the nth term of the series must be 8 + (n-1)*9

Answer:

13.5 minutes

Step-by-step explanation:

128 = 3 minutes

128/3 = 1 minute worth of words

42.6 = 1 minute

576/42.6 = 13.5

Answer:

13.5min or 13min 30sec

Step-by-step explanation:

Answer

-3(x+2)(x+6)=0

Step-by-step explanation:

[tex]-3x^{2} -24x-36=0\\\Leftrightarrow -3(x^{2}+8x+12)=0\\\Rightarrow -3(x+2)(x+6)=0[/tex]

Answer:

y=33 z=69

Step-by-step explanation:

Answer:

Width = 22ft  Length = 48ft

Step-by-step explanation:

Length = 2(w) + 4

I personally first picked a random number (20) and I got 128, so I knew I had to pick a larger number.

I skipped up to 22 and this is what I did.

W = 22(2) <--(Since there are two width sides) = 44

L = 2(w) + 4

L = 2(22) + 4

L = 44 + 4 = 48

48(2) <--(Since there are two length sides) = 96

96 + 44 = 140

Hope this helps!

Answer: I think the answer is B

Step-by-step explanation:

Answer:

where is model A

Step-by-step explanation:

Answer:

14.

Step-by-step explanation:

14 1/2 / 1 = 14 1/2

answer 14.

Answer:

14 books

Step-by-step explanation:

At most 14 because it is 14 1/2 inches long

Answer:

She saved $13.56

Step-by-step explanation:

$8.64 x 7 folders = $60.48

$4.75 x 2 packs of pencils = $9.50

$6.80 x 3 packs of markers = $20.40

$60.48 + $9.50 +$20.40 = $90.38

$90.38 - 15% = $76.82 (76.823)

She saved a total of $13.56 (13.557)

Answer:

Rachel saved $13.56

Step-by-step explanation:

Pencil Packs: 2 x $4.75 = $9.50

Markers: 3 x $6.80 = $20.40

Folders: 7 x $8.64 = $60.48

Add up the costs.

$90.38

Multiply $90.38 by 0.15

13.557

Round to the nearest hundredth.

$13.58

Hope I helped :)

Please consider Brainliest :)

Answer:

Step-by-step explanation:

∠A and ∠B are vertical => ∠A=∠B

20x+10=30x-10

20x-30x= -10-10

-10x= -20

x= -20 / -10 = 20 / 10 = 2

x=2

Good luck!

Answer:

2

Step-by-step explanation:

Ok remember this because its going to appear alot in geometry. Vertical angles are ALWAYS congruent and congruent means when two things are equal/ are the same.

If angle a and b are vertical angles what does that mean?

they are CONGRUENT!

you know A = 20x+ 10 and B= 30x-10

so you can write it as

20x+10 = 30x-10

because Angle A and B equal each other

then get the variable by itself so subtract -20x on both sides

10 = 10x-10

then add 10 to both sides which is

20 = 10x

and divide 10 on both side and 20 divided by 10 is 2

so 2 =x

which is the same as x =2  

Answer:

7296

Step-by-step explanation:

.

Answer:

7296

Step-by-step explanation:

you multiply the two numbers and the out come is 7296