find tge slope and the y-Intercept 7x-9y=1

Answer:

x=4

Step-by-step explanation:

It suffices to equate any two sides and then check whether the solution is valid for the third side.

Taking 2x and 3x-4 and equating:

2x = 3x-4

x = 4

This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:

x+4=4+4=8

which indeed works out confirming x=4 being a valid solution

Final answer:

To determine a value for x that results in an equilateral triangle with side lengths 2x, 3x - 4, and x + 4, we equate the three expressions and solve for x, finding that x = 4 satisfies the condition of equal side lengths.

Explanation:

To find a value of x that makes the triangle equilateral, we set all three sides equal to each other because an equilateral triangle has all sides of the same length. Given the side lengths as 2x, 3x - 4, and x + 4, we can set up two equations:

2x = 3x - 4

2x = x + 4

Solving the first equation for x gives us:

2x = 3x - 4
x = 4

Solving the second equation for x gives us:

2x = x + 4
x = 4

Both equations yield x = 4 as the solution. Therefore, if x is 4, the lengths of the sides of the triangle will be 8, 8, and 8 respectively, which satisfies the conditions of an equilateral triangle.

Answer:

2025 if Im not wrong...

Step-by-step explanation:

Answer:

       = 1099  cm^2

Step-by-step explanation:

The surface area of a cylinder is found by using the formula

SA=2πrh+2πr^2

We know the diameter.  To find the radius, we take the diameter and divide by 2.

r =d/2

r =14 cm/2 = 7 cm

h = 18 cm

Substituting what we know

SA = 2 * pi * 18 * 7 + 2 * pi * (7)^2

    = 252 *pi + 2* pi *49

   = 252 pi + 98 pi

  = 350 * pi

Let pi be approximated by 3.14

 SA = 350 * 3.14

       = 1099  cm^2

Answer:

B.$941.11

Hope this helped

Step-by-step explanation:

Answer:

m ≥ 1016

Step-by-step explanation:

13+0.06M≥73.96

0.06M ≥ 60.96

m ≥ 1016

Answer:

The first year Sam invested $2,000. The third year sally invested $1,900.

Step-by-step explanation:

Let $x be the amount of money Sam invested the first year. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year, then the second year he invested

[tex]\$\left(\dfrac{5}{2}x-2,000\right).[/tex]

The third year, he invested $1,000 more than 1/5 of the amount he invested the first year, then the third year he invested

[tex]\$\left(\dfrac{1}{5}x+1,000\right).[/tex]

During three years Sam invested

[tex]\$\left(x+\dfrac{5}{2}x-2,000+\dfrac{1}{5}x+1,000\right)=\$\left(\dfrac{37}{10}x-1,000\right).[/tex]

The first year, Sally invested $1,000 less than 3/2 times the amount Sam invested the first year, then the first year she invested

[tex]\$\left(\dfrac{3}{2}x-1,000\right).[/tex]

The second year, she invested $1,500 less than 2 times the amount Sam invested the first year, then the second year she invested

[tex]\$(2x-1,500).[/tex]

The third year, she invested $1,400 more than 1/4 of the amount Sam invested the first year, then the third year she invested

[tex]\$\left(\dfrac{1}{4}x+1,400\right).[/tex]

During three years Sally invested

[tex]\$\left(\dfrac{3}{2}x-1,000+2x-1,500+\dfrac{1}{4}x+1,400\right)=\$\left(\dfrac{15}{4}x-1,100\right).[/tex]

If Sam and Sally invested the same total amount at the end of three years, then

[tex]\dfrac{37}{10}x-1,000=\dfrac{15}{4}x-1,100,\\ \\\dfrac{37}{10}x-\dfrac{15}{4}x=1,000-1,100,\\ \\-\dfrac{1}{20}x=-100,\\ \\x=\$2,000.[/tex]

Thus,

[tex]\$\left(\dfrac{1}{4}\cdot 2,000+1,400\right)=\$1,900.[/tex]

Answer:

150 shirts and 75 jeans

Step-by-step explanation:

s = shirts

j = jeans

12s+28j = 3900

The profit on the shirts is 70 percent so we multiply 12 by .7  

12*.7 = 8.4

The profit on the jeans is 125 percent so we multiply 28 by 1.25  

The profit was 3885

28*1.25 = 35

8.4s+ 35j=3885

We now have 2 equations and 2 unknowns

12s+28j = 3900

8.4*s+ 35j=3885

I am going to solve by elimination

Multiply the first equation by -.7

-.7 (12s+28j )= -.7*3900

-8.4s -19.6j=-2730

Add this to the second equation

-8.4s -19.6=-2730

8.4s+ 35j=3885

------------------------

15.4j = 1155

Divide each side by 15.4

15.4j/15.4= 1155/15.4

j = 75

Now we need to find the shirts.

We will substitute j=75

12s+28(75) = 3900

12s +2100 = 3900

Subtract 2100 from each side

12s = 3900-2100

12s = 1800

Divide by 12

12s/12 = 1800/12

s =150

one may note that 1 CC, Cubic Centimeter, or 1 cm³, is actually equivalent to 1 mL, milliliter.

so 2 cc = 2 mL.

Answer:

2 mL

Step-by-step explanation:

Here cm³ and  mL are units of volume i.e., the three dimensional space enclosed by plane surfaces. m³ is the SI unit of volume. Liter (L) is also an accepted unit where

1 L = 0.001 m³

So 1 ml = 0.001 × 10⁻³ m³

1 mL³ = 10⁻⁶ m³             (1)

1 m³ = 10⁶ cm³

1 cm³ = 10⁻⁶ m³             (2)

From equation 1 and 2

1 mL = 1 cm³

1 mL = 1 cc

2 cc = 2 Cubic centimeter = 2 cm³

1 cc = 1 mL

So,

2 cc = 2 mL

Answer:

4 x (3+7) = (4 x 5) + (4 x 5) => 40= 20+20

Step-by-step explanation:

12+28=>40=(4 x 5) + (4 x 5)

Answer:

Step-by-step explanation:

She paid $40 each week, hence the "w" next to 40. She then paid $12.50 so both $40w and $12.50 would equal to $492.50. So she paid $492.50 in all for the class.

Now the w would equal, 12. Multiply 40 x 12 and it'd equal 480. 

Then you add the additional $12.50 she paid for the registration & it'd equal to $492.50.

Hope That Helps!

To solve for w in the equation 40w + 12.50 = 492.50, subtract 12.50 from both sides of the equation and then divide both sides by 40.

To solve for w, we need to isolate it on one side of the equation. We can do this by subtracting 12.50 from both sides of the equation:

40w + 12.50 - 12.50 = 492.50 - 12.50

This simplifies to:

40w = 480

Next, divide both sides of the equation by 40:

w = 480 / 40

w = 12

Therefore, the equation represents a situation where w is equal to 12.

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Answer:25%

Step-by-step explanation:

(10 x 100) - 800= 200

200/800 x 100

percantage profit= 25%

Answer:

80%

Step-by-step explanation:

800 ÷ 100 = 8$ → purchased each

8$ to 10$ = 80%

The calculated equation of the line is y = 3/4x - 4.5

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

m = slope

Using the above as a guide, we have the following:

m = (-6 + 3)/(-2 - 2)

m = 3/4

So, we have

y = 3/4x + c

Using the points, we have

3/4 * 6 + c = 0

Evaluate

c = -4.5

So, we have

y = 3/4x - 4.5

Hence, the equation is y = 3/4x - 4.5

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Answer:

A jagged curve

Step-by-step explanation:

Your always going to burn calories but the rate will always change and how many based on what you do will always change so it is never a constant slope.

Answer:

a jagged curve

Step-by-step explanation:

The number of calories you burn varies throughout the day, increasing and decreasing. A jagged curve represents increases and decreases over time.

Answer: 8

Step-by-step explanation:

Answer:

[tex]log_n(m)= \frac{4}{3}[/tex]

Step-by-step explanation:

N^4/3=m

[tex]n^{4/3}=m[/tex]

We need to write the equation in logarithmic form

we take log on both sides

[tex]log(n^{4/3})=log(m)[/tex]

We apply log property to remove the exponent 4/3

As per log property we can move exponent before log

log(a^m) = m log (a)

So our equation becomes

[tex]\frac{4}{3}log(n)=log(m)[/tex]

Now we divide both sides by log(n)

[tex]\frac{4}{3} =\frac{log(m)}{log(n)}[/tex]

Now we apply change of base formula

log(a)/ log(b)= log_b(a)

[tex]\frac{4}{3} =log_n(m)[/tex]

So log form is

[tex]log_n(m)= \frac{4}{3}[/tex]

To convert [tex]N^{4/3}[/tex] = m to logarithmic form, identify the base (N), the exponent (4/3), and the result (m). The logarithmic form is [tex]log_N(m)[/tex] = 4/3.

To convert the given equation [tex]N^{4/3}[/tex] = m into logarithmic form, we'll follow these steps:

The general logarithmic form of the equation aᵇ = c is [tex]log_a(c)[/tex] = b.

Applying this to our equation:

Hence, the logarithmic form of the equation [tex]N^{4/3}[/tex] = m is:

Answer:

[tex]\frac{16}{3}[/tex]

Step-by-step explanation:

To evaluate substitute x = - [tex]\frac{1}{2}[/tex] into f(x)

f( - [tex]\frac{1}{2}[/tex])

= - [tex]\frac{2}{3}[/tex] × - [tex]\frac{1}{2}[/tex] + 5

= [tex]\frac{1}{3}[/tex] + 5

= [tex]\frac{1}{3}[/tex] + [tex]\frac{15}{3}[/tex] = [tex]\frac{16}{3}[/tex]

Answer:

x=2, y=2

(2,2)

Step-by-step explanation:

To solve by elimination, we need to have on variable an its coefficient be the opposite of the other

I will multiply the second equation by 2 to make 2x  become 4x to eliminate the x variable

2(2x+4y) = 12*2

4x+8y = 24

Now add the first equation with the modified second equation

-4x - 2y = -12

4x   +8y =24

-------------------

       6y   = 12

Divide each side by 6

6y/6 = 12/6

y =2

Now we need to find x

2x+4y = 12

Substitute in y=2

2*x + 4*2 = 12

2x+8 = 12

Subtract 8 from each side

2x +8-8 = 12-8

2x=4

Divide each side by 2

2x/2 =4/2

x=2

Answer:

RM  ≈ 6.08 ( to 2 dec. places )

Step-by-step explanation:

to calculate the distance use the distance formula

• d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = R(- 2, 3) and (x₂, y₂ ) = M(4, 2)

d = [tex]\sqrt{(4+2)^2+(2-3)^2}[/tex] = [tex]\sqrt{36+1}[/tex] = [tex]\sqrt{37}[/tex] ≈ 6.08

Answer:

The correct answer is A) slope: -13 Intercept: 1

Step-by-step explanation:

When you have something in slope-intercept form, the slope is always the coefficient of x, which in this case is -13.

The intercept is always the constant at the end of the equation, which in this case is 1.

Answer:

a)

Step-by-step explanation:

We must first open the parenthesis. We get 15*7+15y, or 105+15y. We can now add 12 to 105 which would be 117. Now we have -4-5y+117+15y. With this we can move the -4 to 117 which is 113 and the -5y to 15y which is 10y. So we got 113+10y as our answer.

Hope this helps. <3

Answer:

Box-1:

Neither

Box-2:

[tex]8(t+8)[/tex]

Box-3:

[tex]8(t+8)[/tex]

Box-4:

[tex]8t+8[/tex]

Box-5:

Neither

Box-6:

[tex]8t+8[/tex]

Step-by-step explanation:

We can verify each box

Box-1:

[tex](8+t)+(8+8)[/tex]

we can simplify it by combining like terms

[tex]=8+t+8+8[/tex]

[tex]=8+t+16[/tex]

[tex]=t+24[/tex]

none of them matches

so, Neither

Box-2:

[tex]8t+64[/tex]

we can write as

[tex]8\times t+8\times 8[/tex]

now, we can factor out 8

[tex]8(t+8)[/tex]

Box-3:

[tex]8\cdot t+8\cdot 8[/tex]

we can factor out 8

[tex]8(t+8)[/tex]

Box-4:

[tex]4t+8+4t[/tex]

we can combine like terms

[tex]4t+4t+8[/tex]

[tex]8t+8[/tex]

Box-5:

[tex]8t+16[/tex]

we can factor common term

[tex]8\times t+8\times 2[/tex]

now, we can factor out 8

[tex]8(t+2)[/tex]

so, we can see that none are matching

so, Neither

Box-6:

[tex]4(2t+2)[/tex]

we can distribute 4

[tex]4\times 2t+4\times 2[/tex]

we can simplify it

[tex]8t+8[/tex]

simple answer

8(t+8):

(8 • t) + (8 • 8)

8t + 64.

8t + 8:

4t + 8 + 4t

4(2t + 2)

Neither:

(8 + t) + (8 + 8)

8t + 16

pls mark brainlist

Answer:

64

Step-by-step explanation:

20 x 3.2=64

16/5=3.2

replacing the 3 1/5 with 3.2 making it easier to do the math

Answer:

The answer is 64

Step-by-step explanation:

What to do is this.

Turn 3 1/5 into a improper fraction and it will look like this 16/5

Now do 20/1 times 16/5 and you will get 64

Answer:

hello there the answer is 36:18

Step-by-step explanation:

because it dosent matter which number is bigger it matters about the oder they ask to put it in and in this case a to b =36to18

Hey there!

[tex]\boxed{BoxA: 18}[/tex]

[tex]\boxed{BoxB:36}[/tex]

You could have your [tex]ratio[/tex] to look like this: [tex]18:36[/tex] (most likely going to be your answer if you are looking for the ratio of the number)

Both terms go into [tex]18[/tex], [tex]9[/tex], and [tex]2[/tex]

[tex]\frac{18}{2}[/tex] [tex]= 9[/tex]

[tex]\frac{36}{2} = 18[/tex]

[tex]\boxed{9:18}[/tex]

[tex]\frac{18}{9} = 2[/tex]

[tex]\frac{36}{9} = 4[/tex]

[tex]\boxed{2:4}[/tex]

[tex]\frac{18}{18} = 1[/tex]

[tex]\frac{36}{18} = 2[/tex]

[tex]\boxed{1:2}[/tex]

Answer: [tex]\boxed{36:18}[/tex] or [tex]\boxed{18:36}[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer: 13

Step-by-step explanation:

f(x) = 4x + 1

f(3) = 4(3) + 1

     = 12 + 1

     = 13

Answer: Remainder: 206

Quotient: 3x³+7x²+21x+70 + [tex]\frac{206}{x-6}[/tex]

Step-by-step explanation: You can either use long division or synthetic division. I will use synthetic division: 3 | 3 -2 0 7 -4... the remainder is 206 and the quotient is 3x³+7x²+21x+70  + 206/x-6

The remainder is 206 and the quotient is ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) /(x - 3)

A result obtained by dividing one quantity by another is called a quotient.

Remainder is the value left after the division.

∴ Here the remainder will be putting x = 3 in the dividend.

So, remainder = [tex]3(3)^{4} - 2(3)^{3} + 7(3) - 4[/tex] = 206

in a division, dividend is equal to divisor multiplied by quotient plus remainder.

Let the quotient be Q(x)

Here,  we can write,

[tex]3x^{4} - 2x^{3} + 7x -4[/tex]  = (x - 3)Q(x) + 206

⇒ Q(x) = ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)

So, the required quotient is  ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)

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Answer: The first vendor AKA the 8 ears for $2.56

Step-by-step explanation:

You have to take the 8 and figure out how much you are being charged for each 2.56 divided by 8 is .32, so each ear is .32 cents per ear, and the second vendor is 4.32 divided by 12 which is .36, so each ear is .36 cents. so technically the first vendor has cheaper corn.

Answer:

1. C

2. B

3. B

4. C

5. A

Step-by-step explanation:

1. 2/5 times 3/7 equals 6/35 and cannot be simplified

2. 9/10 times 5/7 equals 45/70 or 9/14

3. 1/3 times 1/2 equals 1/6

4. 3/4 times 1/2 equals 3/8

5. 2/3 of 7/8 equals 7/12

Answer:

8(2p-1)

Step-by-step explanation:

To factor the expression, we need to factor the terms

16p = 8*2*p

8 = 8*1

We can factor out an 8,  leaving what remains inside the parentheses

16p-8

8(2p-1)

Answer:

$105.48

Step-by-step explanation:

Multiply 131.85 by 0.2 to get 20% of 131.85.

You will get 26.37.

Since it is 4 people, multiply by 4.

You will get $105.48.

Answer: $105.48

Step-by-step explanation: If the check is $131.85, all you have to do is multiply that by .2 and you get $26.37, but since there are four friends you would have to multiply that by 4 to get the result $105.48.