3x - 4y = 6 and 5x + 8y = -1

Answers

Answer 1

Answer:

1.    slope:3/4

         y-int: (0,-3,2)

2.         slope: -5/8

                y-int: (0,-1/8)

Step-by-step explanation:

Answer 2

Answer:

Point Form: (1,−3/4)

Equation Form: x=1, y= −3/4

Step-by-step explanation:

Solve for x in the first equation.

x=2+4y/3

5x+8y=−1

Replace all occurrences of x with 2+4y/3 in each equation.

10+44y/3=−1

x=2+4y/3

Solve for y in the first equation.

y=−3/4

x=2+4y/3

Replace all occurrences of y with −3/4 in each equation.

x=1

y=−3/4


Related Questions

This is circle theorems I am not rly good at this

Answers

Answer:

m∠BCD = 24°

Step-by-step explanation:

By the theorem,

"Angle subtended by an arc at the center of the circle is twice in measure of the angle subtended at the circumference."

m(∠BOD) = 2(m∠BFD)

                = 2(78°)

                 = 156°

Therefore, m(arc BD) = m∠BOD = 156°

Since, m(arc BD) + m(arc BFD) = 360°

156° + m(arc BFD) = 360°

m(arc BFD) = 360 - 156

                   = 204°

Since, "angle formed outside the circle by the intersection of two tangents measure half of the difference of the intercepted arcs".

m∠BCD = [tex]\frac{1}{2}[m(\text{arc BFD})-m(\text{arc BD})][/tex]

              = [tex]\frac{1}{2}[204 - 156][/tex]

              = 24°

Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.

The expression (3 p minus 7)(2 p squared minus 3 p minus 4) is shown above a table with 3 columns and 2 rows. First column is labeled 2 p squared, second column is labeled negative 3 p, the third column is labeled negative 4. First row is labeled 3 p with entries 6 p cubed, negative 9 p squared, negative 12 p. Second row is labeled negative 7 with entries negative 14 p squared, 21 p, 28.
Which is the product?

6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
Which is the product?

6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28

The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.

Answers

Answer: Answer Is C

Step-by-step explanation: Did the Quiz test thing

Answer:

C. 6p3 – 23p2 + 9p + 28

Step-by-step explanation:

edge

Sidney takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut she makes is 15 inches long and the width of the fabric is 12 inches. What is the fabric's length?

Answers

Answer: The length is 3 or 9 hope this helps.

Step-by-step explanation:

Pattern A start at 20 and has the rule subtract 2. Pattern b starts at 20 and has the rule subtract 1. Which shows the first several terms of patterns A and b

Answers

Answer:

c.

Pattern A: 20, 18, 16, 14, 12, 10

Pattern B: 20, 19, 18, 17, 16, 15

Step-by-step explanation:

Pattern A starts at 20 and the rule is to subtract 2. The terms will therefore be:

= 20, 18, 16, 14, 12, 10

The numbers above were gotten by subtracting 2 from each term for the next term.

Pattern B starts at 20 and the rule is to subtract 1. The terms will be:

=  20, 19, 18, 17, 16, 15

Correct option is therefore option C.

A ladder is 8 metres long . It leans against a wall with one end on the

ground 6 metre from the wall. The other end just reaches a windowsill.

Calculate the height of the windowsill above the ground.​

Answers

Answer:

b=2√7 ≈ 5.29 meters

Step-by-step explanation:

think of it like a right triangle like in the picture with 8metre ladder as the hypotenuse

a²+b²=c²

6²+b² =8²

b²= 8²-6²=28

b=√28 =2√7 ≈ 5.29 meters

Suppose you want to get a loan for $ 5 , 000 at an interest rate of 5.3 % for 2 years to be paid back in 24 monthly installments. Calculate this loan using simple interest. What is the amount of the monthly payments? Round the answer to the nearest cent (hundredth).

Answers

Answer:

monthly payment =  $56.445

Step-by-step explanation:

given data

loan = $5000

interest rate r = 5.3 % = 0.053

time  t = 2 year = 24 months

solution

we will use here amount of the monthly payments formula that is

monthly payment = principal × [tex]\frac{r}{1+(1-r)^{-t}}[/tex]      ................1

put here value and we get

monthly payment = 5000 × [tex]\frac{0.053}{1+(1-0.053)^{-24}}\\[/tex]

monthly payment =  $56.445

Answer:

Step-by-step explanation:

PLEASE ANSWER SOON AND ONLY IF YOU KNOW THE ANSWER! I NEED YOUR HELP!

The graphs of [tex]y = x^2 - 7x + 7[/tex] and the line [tex]y = -3[/tex] intersect at two points. What is the sum of the x-coordinates of these two points?

Answers

Answer:

x = 5, x = 2

Step-by-step explanation:

y=x²-7x+7 but also y=-3

so x²-7x+7=-3

x²-7x+10=0

when factorising think about 2 numbers you multiply by each other tp give 10 but at the same time their sum is 7

-5x-2=10

-5+-2=-7

so (x-5)(x-2)=0

(note: multiply the two brackets to check if ur answer is correct and that it gives x²-7x+10=0)

x-5=0 so x=5

but also x-2=0 so x=2

solve 2x²-3x-7=0 using completing the square method​

Answers

Answer:

Use the formula ( b 2 ) 2 in order to create a new term.

Solve for x by using this term to complete the square.

Exact Form: x = ± √ 65 4 + 3 4

Decimal Form: x = 2.76556443 … , − 1.26556443 …

Kevin has 7 baseballs. Each baseball weighs 0.3 pound. Ken wants to use this model to find the total weight of the baseballs. Each hundredths block in the model represents 1 whole.

Answers

Answer: The total weight of the 7 baseballs are 2.1 pounds, or if using a model, 2 hundredths and 1 tenth.

Step-by-step explanation:7 x 0.3 = 2.1 or 2 hundredths and 1 tenth on the model.

Hint: 1 Hundredth is equal to 1 whole.

It’s true or false answers, plz help!

Answers

Answer:true

Step-by-step explanation:

Help !!!
See question in image.
Please show workings .

Answers

Answer:

Given a function y=f(x) its first derivative – the rate of change of y with respect to x – is defined by: dydx=limh→0[f(x+h)−f(x)h]. Finding the derivative of a function by computing this limit is known as differentiation from first principles

and put the formula answer will be there

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{\frac{3}{x+h}-\frac{3}{x} }{h}[/tex]

     = lim( h to 0 ) [tex]\frac{3x-3(x+h)}{hx(x+h)}[/tex]

     = ( lim h to 0 ) [tex]\frac{3x-3x-3h}{hx(x+h)}[/tex]

     = lim( h to 0 ) [tex]\frac{-3h}{hx(x+h)}[/tex] ← cancel h on numerator/ denominator

     = lim( h to 0 ) [tex]\frac{-3}{x(x+h)}[/tex] ← let h go to zero, then

f'(x) = - [tex]\frac{3}{x^2}[/tex]

Which relation is a function?
O {(0, -9), (-2, -3), (-2, 0), (-3, -2)}
O {(0, -9), (-9, -2), (0, -3)}
O {(0, -9), (-9, 0), (-3, -3)}
O {0, -9, -2, -3}

Answers

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.

through:
(0,3)(−4,5)

Answers

Step-by-step explanation:

General line equation: y = mx + c

When x = 0, y = 3. => (3) = m(0) + c, c = 3.

When x = -4, y = 5. => (5) = m(-4) + c,

5 = -4m + (3), -4m = 2, m = -0.5.

Hence the answer is y = -0.5x + 3.

Answer:

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

Step-by-step explanation:

To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)

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

=[tex]\frac{5-3}{-4-0}[/tex]

=2/-4

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

next, calculate b by substituting a point (0, 3) into the equation

y=mx+b

3=(-1/2)(0)+b

b=3

final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3

Need help thanks if you do

Answers

It would be written as 4/5
Because you put the remainder over the 5

Answer:

I think it is 4/5 because when you have a remainder you put it on top over the first number (5)

Step-by-step explanation:

Hope this helped and sorry if this didn't help :(

Please help, will reward brainliest.

Answers

Answer:

2 out of every 5; 2:3; 2:5

Step-by-step explanation:

2 out of every 5 means that out of 5, he/she picks two (leftover 3)

the other choices are a ratio of if he/she has 2 of that then they will also have 5 of this

hellpppp what angle is

Answers

Answer:

acute

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

∠LAF is 70°. Since it has an angle measurement of less than 90°, it is known as an acute angle.

slope is soo confusing.. but if anyone down to help me

Answers

Answer:

-2/2 or simplify to =-1

Step-by-step explanation:

you use rise over run. you may use an exact formula (y2-y1)/(x2-x1) by picking 2 y values and 2 x values on the graph and subtracting the values.

Find x and y so the quadrilateral is a parallelogram.

Answers

I’m not sure ab that

Kristen invested $1,800 in an account paying 6.5% simple interest. After 5 years, what is the balance of her account?

Answers

Answer: 2,385

Step-by-step explanation:

i don't understand the math. please help.

Answers

Answer:

a. $105

b. $455

Step-by-step explanation:

Calculate the area of the square shown below.

its a square ■ and on the bottom its 3.1 yd what do I do?

Answers

Step-by-step explanation:

area of square is a^2

3.1yd^2=9.61yd^2

Answer:

Area = 9.61^2

Step-by-step explanation:

A square has all equal sides so each side is the same length. To find the area mulyiply the length by the width. Since it is a square both sides will be 3.1 yds long. So multiply 3.1 by 3.1 and you will get 9.61^2, That is the area of the square.

Four different stores posted ads on special 15-oz cans of baked beans -8 for $6 = 75 cents per can -10 for $10 = $1 per can -2 for $3 = $1.50 per can -80 cents per can The last store listing was selling 28-oz of baked beans for $1.40 each. How does that price compare to the other prices?

Answers

Answer:

75 cents per can

Step-by-step explanation:

8 for $6 = 75 cents per can

10 for $10 = $1 per can

2 for $3 = $1.50 per can

The last store sold 28-oz for $1.40 each

To obtain the cost per 15-oz can of baked beans

28-oz / 15-oz = 1.86667of 15 - oz cans of baked beans can be obtained from 28 - oz.

The price per can will now be :

$1.40 / 1.8666666

= $0.75

= 0.75 * 100 = 75 cents

Hence, for the last store, they sold at 75 cents per can similar to the first store.

Answer:

75

Step-by-step explanation:

it is

. Solve; 2x+96=182 hurry due in 5 mins

Answers

Move all terms that don't contain x to the right side and solve.

x = 43

Answer:

x=43

Step-by-step explanation:

2x+96=182    

2x=86      (Subtract 96 from 182)

x=43         (Divide 86 by 2)

Katie and Sunnie both have 20-gallon fish tanks that are leaking water! After 15 minutes, Katie's tank has leaked 43 gallon. After 20 minutes, Sunnie's tank has leaked 34 gallon. Which tank is leaking faster?

Answers

Answer:

Katie's gallon

Step-by-step explanation:

Katie and Sunnie both have 20-gallon fish tanks that are leaking water!

For Katie

After 15 minutes, Katie's tank has leaked 4/3 gallon.

The rate of leakage =

4/3 gallon × 15 minutes

= 16

For sunny

After 20 minutes, Sunnie's tank has leaked 3/4 gallon.

Her rate is given as:

= 3/4 gallon × 20 minutes

= 15

Therefore,

The tank that is leaking faster is Katie's gallon

If you roll a six sided die six times what is the best prediction possible for the number of times you a roll a two

Answers

Answer:

the best possiable prediction is 2/6

Step-by-step explanation:

What is the measure of the marked angle? (photo included)

Answers

B.42
84/2=42
Since abc:84 degrees, all u have to do is divide by 2 because of the angle bisector

Answer:

B) 42 Degrees

Step-by-step explanation:

An angle bisector is basically a line that splits an angle into two congruent angles.

In this case, the large angle ABC is bisected by ray BD.

Angle ABC is given to be 84 degrees, so the measure of angle ABD is exactly half of that, or 42 degrees.

Let me know if this helps!

plz plz plz help me no incorrect answers plz

Answers

Answer:

x = 26°

Step-by-step explanation:

Let us solve the question

In the given figure

∵ The ray NC bisects ∠WNB

→ That means it divides the angle into two equal angles, ∠WNC and ∠CNB.

m∠WNC = m∠CNB

∵ m∠WNC = 3v - 4

∵ m∠CNB = 2v + 6

→ Equate the measures of the two angles

3v - 4 = 2v + 6

→ Add 4 to both sides

∵ 3v - 4 + 4 = 2v + 6 + 4

3v = 2v + 10

→ Subtract 2v from both sides

∵ 3v - 2v = 2v - 2v + 10

v = 10

∵ x = m∠WNC

x = 3v - 4

→ Substitute v by 10

∵ x = 3(10) - 4

∴ x = 30 - 4

x = 26°

Sue charges a flat rate of $20 plus $10 per hour it takes her to mow a lawn. Which equation shows the correct way to find the cost y of mowing a lawn for x hours.

Answers

Answer:

y=20+10x

Step-by-step explanation:

From the information provided, the equation would indicate that the cost of mowing a lawn would be equal to the flat rate plus the result of multiplying the cost per hour for the number of hours:

y=20+10x, where:

y is the cost of mowing a lawn

x is the number of hours

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.

–10.5 9

–21/5 ≤ –5/2d

Answers

Answer:

No. ≤  means less than or equal to

Step-by-step explanation:

To convert a temperature from degrees Celsius to degrees Fahrenheit, you can use the formula F= (C*1.8) + 32 where F is degrees Fahrenheit and C is degrees Celsius. What is the temperature (in degrees Fahrenheit) of water that is 10 degrees Celsius?

Answers

Answer:

The temperature is [tex]50^{\circ}F[/tex]

Step-by-step explanation:

Given

[tex]F= (C*1.8) + 32[/tex]

Required

Find F when [tex]C = 10[/tex]

[tex]F= (C*1.8) + 32[/tex]

Substitute 10 for C

[tex]F = 10 * 1.8 + 32[/tex]

[tex]F = 18 + 32[/tex]

[tex]F = 50[/tex]

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