Part A: Explain why the x-coordinates of the points where the graphs of the equations y = ^2−x and y = ^4x + 3 intersect are the solutions of the equation 2^−x = 4^x + 3.
Part B: Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.


Part C: How can you solve the equation 2^−x = 4^x + 3 graphically?

Answer: 12 only

Step-by-step explanation:

The value of f(0) from the graph of f(x) is (a) 12 only

Functions are used to represent graphs, equations, ordered pairs and relations.

To interpret the value of the function, we start by reading the graph.

From the graph, the value of the function when x = 0 is 12

This means that:

[tex]f(0) = 12[/tex]

Hence, the value of f(0) from the graph of f(x) is (a) 12 only

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Answer:

6 months

Step-by-step explanation:

Answer:

7 Units.

Step-by-step explanation:

First of all, you could just count the units, but that's not really too effective. Otherwise, you could start from the coordinates of the "C" point, and see how it's at -Y = -5. Therefore, to get to the line separating the two points, you would have to subtract 5 from 5 to get to the line. Now, you look at point "A". It's Y coordinate is 2. Therefore, adding 5 and 2 together gives you 7 units.

Answer:

48 orders

Step-by-step explanation:

so 10 dozen is 120 because 12(10) is 120. we first subtract 120-28, which is 96. divided 96 by 2 to get 48.

equation: (12(10)-28)/2=x

Answer:

46 orders.

Step-by-step explanation:

(10*12) - 2x = 28

120 - 2x = 28

-2x = 28 - 120

-2x = -92

x = -92/2

x = 46

Answer:

y=-2x+5

Step-by-step explanation:

Answer:

5.   y= -2x+4

6.   y= 1/3x-3

7.   y= -5/2x+8

8.    y= 3/4x+3

Step-by-step explanation:

these are the answers if you want me to explain tell me!

Answer:

Exact Form: x= -5/2

Decimal Form: x= -2.5

Mixed Number Form: x= -2 1/2

Step-by-step explanation:

Hope this helps!

The answer is x = -5/2

Answer:

108

Step-by-step explanation:

Explanation: Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.

Answer:

The answer is 0.20

Step-by-step explanation:

Answer: 0.20

Step-by-step explanation:

Answer:

180 cookies

Step-by-step explanation:

Answer:

I'm getting

y=-7x+8

The 7 is negative for me..You should maybe try yourself too and see what you get I might have made a mistake

Step-by-step explanation:

I'm guessing you live somewhere in the U.S. so I'll use the equation you use there

Equation:

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

[tex]m = \frac{y1 - y2}{x1 - x2} [/tex]

first pick two points

I'll pick (0,8) and (1,1)

[tex]m = \frac{8 - 1}{0 - 1} = \frac{7}{ - 1 } = - 7[/tex]

this means that the slope is -7

So far the equation will look like this

[tex]y = - 7x + b[/tex]

to get b pick one point, I'll pick (0,8) and replace y and x

[tex]8 = - 7 \times 0 + b[/tex]

when you solve this you'll get b

[tex]b = 8[/tex]

So the equation will look this

[tex]y = - 7x + 8[/tex]

Answer:

y=2x-11

Step-by-step explanation:

Answer:   1.50+5m=76.50 m=15

Step-by-step explanation:

The required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

pick-up fee = $1.50 plus $5 per mile

Since, m is the number of miles in the taxi ride

So, equation for pick-up fee for m miles,

pick-up fee = $1.50 + $5m

Now total fare = $76,50

Thus, required equation to determine m is given as,

1.50 + 5m = 76.50

Subtracting 1.5 both the side we get,

1.50 + 5m - 1.5 = 76.50 - 1.5

⇒ 5m = 75

or, m = 75/5

⇒ m = 15

Thus, the required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

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36r2+r-16 is the answer, btw the 2 besides the r in 36 is an exponent

Answer:

The friends split the bill at 15.32$

Step-by-step explanation:

So to find how much each paid you would take the bill total and divide it by the amount of people in this case three

And for the equation it would be 45.96/3=15.32$

The equation to model the solution to the problem would be; 3x = 45.96. the friends split the bill at 15.32 dollars.

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

Given that the dinner for Lorenzo and his 3 friends costs $45.96.

To determine how much each paid would take the bill total

Therefore, we will divide it by the number of people in this case three

3x = 45.96

x = 45.96/3

x  = 15.32$

And for the equation would be; 3x = 45.96

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Answer:

where r the equations?

Answer:

3(12-x)=6

Step-by-step explanation:

hope that helps !!!!!!!!!!!!!!!!!

Answer:

[tex]f(n) = 26- 7n[/tex] --- (a)

[tex]f(n) = 5.7- 4.2n[/tex] ---- (b)

Step-by-step explanation:

Given

[tex]a_n = 19 - 7(n-1)[/tex]

[tex]a_n = 1.5 - 4.2(n-1)[/tex]

Required

Rewrite as a function

[tex]a_n = 19 - 7(n-1)[/tex]

Rewrite

[tex]f(n) = 19 - 7(n-1)[/tex]

Open bracket

[tex]f(n) = 19 - 7n+7[/tex]

Collect Like Terms

[tex]f(n) = 19 +7- 7n[/tex]

[tex]f(n) = 26- 7n[/tex]

[tex]a_n = 1.5 - 4.2(n-1)[/tex]

Rewrite

[tex]f(n) = 1.5 - 4.2(n-1)[/tex]

Open bracket

[tex]f(n) = 1.5 - 4.2n+4.2[/tex]

Collect Like Terms

[tex]f(n) = 1.5 +4.2- 4.2n[/tex]

[tex]f(n) = 5.7- 4.2n[/tex]

Answer:  [tex]w^2+4w-36=0[/tex]

Step-by-step explanation:

Let w = width of the base of the shoebox.

As per given ,

Length = 8+2w centimeters

Area of base = 72 square centimeter

Area of rectangle =  Length x width

[tex]\Rightarrow\ 72=w(2w+8)\\\\\Rightarrow\ 72= 2w^2+8w\\\\\Rightarrow\ 2w^2+8w-72=0\\\\\Rightarrow\ w^2+4w-36=0[/tex]

Required equation: [tex]w^2+4w-36=0[/tex]

Answer:

4 -1

Step-by-step explanation:

just trust me on this one :)

Answer:

31x-21

Step-by-step explanation:

Distribute:7x+24x-21

Add like terms:31x-21

Answer:31x-21

the answer is 31x-21

Answer:

17) 3   18) 3

Step-by-step explanation:

Answer:

17. C

18. C

Step-by-step explanation:

The greater the negative number, the less the number values. -10 is smaller than -8 because -10 is farther away from the number line to the left.

Go in terms of the tenths place. If its smaller than the number will be less than the bigger numbers. 0.227 is bigger than 0.18 because it has a 2 in the tenths place.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer: the answer is 2

Step-by-step explanation:

Answer:

the answer is more than 47 *thumbs up*

Step-by-step explanation:

13y+12,6y−9=y

2 Switch sides.

y=13y+12,6y-9y=13y+12,6y−9

3 Break down the problem into these 2 equations.

y=13y+12y=13y+12

y=6y-9y=6y−9

4 Solve the 1st equation: y=13y+12y=13y+12.

y=-1y=−1

5 Solve the 2nd equation: y=6y-9y=6y−9.

y=\frac{9}{5}y=

​5

​

​9

​​  

6 Collect all solutions.

y=-1,\frac{9}{5}y=−1,

​5

​

​9

​​  

Step-by-step explanation:

i dont know what u said so i solved for y

Answer:

y = 1/4

Step-by-step explanation:

Yo no comprehendo espanol mucho, but I'll try

12y + 15 + y - 36y - 9 = y

Rearrange

12y + y (-y) + 15 (-15) - 36y - 9 (+9)= y (-y) (-15) (+9)

12y - 36y = - 15 + 9

-24y = - 6

Divide both sides by - 24 (Take note of the signs (+) (-))

-24y/-24 = - 6/-24

y= 1/4

Answer:

0.108

Step-by-step explanation:

Answer:28

Step-by-step explanation:7 x 4= 28

Answer:

28

Step-by-step explanation:

7, 14, 21, 28