I need help with this it’s saying the “blank” Method would be the best for solving this system of equations

6x + 4y=8
-x+4y=12

Given:

Modeling: Slope intercept equation of a line

To find:

The slope intercept equation of a line.

Solution:

The slope intercept equation of a line is defined as:

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

Where, m is the slope and b is the y-intercept.

It means the line intersects the y-axis at (0,b).

For example: The slope of a line is 2 and its y-intercept is 1, then the slope intercept of the line is:

[tex]y=2x+1[/tex]

Therefore, the slope intercept form of a line is [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

Answer:

The short pieces are 10  cm each and the long pieces are 15 cm each.

Step-by-step explanation:

We cut a 60cm rope into 5 pieces. There are 3 short pieces that measure the same and the other 2 pieces are 5cm longer than the short ones. How long are the pieces?

let the length of the short pieces is p.

Length of longer pieces = p + 5

So,

60 = 3 p + 2 (p+ 5)

60 = 3 p + 2p + 10

5 p =  50

p = 10 cm

So, the short pieces are 10  cm each and the long pieces are 15 cm each.

Answer:

Step-by-step explanation:

[tex]Mean = \frac{Sum \ of \ all \ the \ data}{number \ of \ data}\\\\= \frac{3.8+5.1+4.1+3.8+3.3+3.6}{6}\\\\=\frac{23.7}{6}\\\\= 3.95[/tex]

Mean = 3.95

B) To find the median, arrange the data in ascending order

3.3 ;  3.6 , 3.8  ; 3.8  ; 4.1  ; 5.1

As number of data is even, median = Average of (n/2)th term and (n/2)th term +1

= Average of 3 and 4th term

[tex]= \frac{3.8+3.8}{2}\\\\= 3.8\\[/tex]

Median  = 3.8

C) 3.8 occurs two times.

So, Mode = 3.8

d) 14.6 is above the mean. So, if we add a data above the mean, then the mean will increase

e) If April (3.8)  is deleted from chart, Mean will increase. If we remove a data below the mean, then mean will increase

If April is deleted from chart,  there will be no change in median.

Still median will be 3.8 only

Answer:

6 mps to the nearest mps.

Step-by-step explanation

The rocket that carried the Curiosity Rover to Mars traveled at a speed of 21,000 miles per hour. What is this speed to the nearest mile per second?

1 hr = 3600 sec

Since an hour is 3600 seconds (i.e., 60 x 60), you simply need to divide that number by 3600

→ 21000 mph = 21000 ÷ 3600 mps = 5 5/6 mps →

ANSWER : 6 mps to the nearest mps.

Answer:

Believe the other person

Step-by-step explanation:

I got a 100%, and also got this question.

Answer:

15/12

Step-by-step explanation:

[tex]x = \frac{31}{12} - \frac{8}{6} = \frac{15}{12} [/tex]

and it says don't reduce otherwise u could also say 5/4

In between 2000 and 90000

Don't use a 2

x>3 is the answer

Step-by-step explanation:

[tex]3( x− 3) − 5x >− 3x − 6 \\ 3x - 9 - 5x > - 3x - 6 \\ 3x - 9 - 5x + 5x > - 3x - 6 + 5x \\ 3x - 9 > 2x - 6 \\ 3x - 9 - 2x > 2x - 6 - 2x \\ x - 9 > - 6 \\ x - 9 + 9> - 6 + 9 \\ x > 3[/tex]

Given:

The statement is "-3 raised to the power 0".

To find:

The value of the given expression.

Solution:

We know that [tex]a[/tex] raised to the power [tex]b[/tex] can be written as [tex]a^b[/tex].

Any non zero number raised to the power 0 is always 1. It means,

[tex]a^0=1[/tex], where [tex]a\neq 0[/tex].

-3 raised to the power 0 [tex]=(-3)^0[/tex]

                                         [tex]=1[/tex]

Therefore, the value of the given statement is 1.

Let's replace x with -4 and simplify

y = (x/4) + 7

y = (-4/4) + 7

y = -1 + 7

y = 6

This means x = -4 and y = 6 pair up together.

So 6 goes in the box under the -4

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

Repeat those steps for x = 0

y = (x/4) + 7

y = (0/4) + 7

y = 0 + 7

y = 7

So 7 goes in the box under the 0

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

Let's repeat those steps for x = 4

y = (x/4) + 7

y = (4/4) + 7

y = 1 + 7

y = 8

So 8 goes in the box under the 4

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

Lastly, for x = 8, we get

y = (x/4) + 7

y = (8/4) + 7

y = 2 + 7

y = 9

9 goes in the box under the 8

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

The y outputs we got were: 6, 7, 8, 9

Notice how each time y increases by 1, x goes up by 4.

This means slope = rise/run = 1/4

We can think of x/4 as (1/4)x to help see that the slope is 1/4.

A function assigns the values. The value of the y in the given table should be 6, 7, 8, and 9, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

The function of the x and y is given y=(x/4)+7, use this function to find the value of y for the given values of x. Thus,

x = -4

y = (-4/4)+7

y = -1+7

y = 6

x = 0

y = (0/4)+7

y = 7

x = 4

y = (4/4)+7

y = 8

x = 8

y=(8/4)+7

y = 9

Hence, the value of the y in the given table should be 6, 7, 8, and 9, respectively.

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Answer:

1/36

Step-by-step explanation:

A standard die has 6 faces

The numbers 1 through 6 on singly on each face

so the probability of tossing a 1 would be;

1/6

The probability of tossing another 1 would still be same 1/6

So the probability of tossing a 1 and another 1 would be the product of the two tosses as follows;

1/6 * 1/6 = 1/36

Answer:

18p - 12 = 20

Step-by-step explanation:

=> 6(3p – 2) = 20

=> 6x3p – 6x2 = 20

=> 18p - 12 = 20

Answer:

18p -12 = 20

Step-by-step explanation:

6(3p – 2) = 20

Distribute

6*3p - 6*2 =20

18p -12 = 20

Answer:

hundredth

Step-by-step explanation:

numbers after the decimal point start counting from

tenth

hundredth

Answer:

0.07 or 7 hundredths

Step-by-step explanation:

(12.3456)- I'll use this as my example

1-tens place

2-ones place

3- tenths place

4= hundredths place

5-thousandths place

6- im pretty sure its the 10 thousandths place

Full question:

For each multiplication expression, sketch an area model. Label the dimensions and the area of each part. Then write an equation showing that the area as a product equals the area as a sum. a. (x+1)(x+2), b. 3(2x+5), c. (2x-3)(x+2), d. (x-1)(y-1), e. -2y(y+3), f. (-x+1)(3x+y-4)

Answer and explanation:

a. (x+1)(x+2)= x×x+x×2+1×x+1×2

The dimensions (length and width) is x+1 and x+2

b. 3(2x+5) = 3×2x+3×5

The dimensions is 3 and 2x+5

c. (2x-3)(x+2)= 2x×x+2x×2-3×x-3×+2

The dimensions are 2x-3 and x+2

d. (x-1)(y-1)= x×y+x×-1-1×y-1×-1

Dimensions are x-1 and y-1

e. -2y(y+3)= -2y×y-2y×3

Dimensions are -2y and y+3

f. (-x+1)(3x+y-4)= -x×3x-x×y-x×-4+1×3x+1×y+1×-4

Dimensions are -x+1 and 3x+y-4

Answer: 6

Step-by-step explanation: 7x+2y=48

7x+2(3)=48

7x+6=48

7x=48+6

7x=42

x=42/7

x=6

Answer:

Step-by-step explanation:

[tex]C =2\pi r[/tex] and since we have to state the answer to 2 decimal places, that means that we are using the number value for π. In specific, π = 3.1415 is good enough. The other thing we note is that the formula for circumference could also be written in terms of its diameter as opposed to its radius:

C = πd. Let's use that one since we are given the diameter of the tire, not the radius.

C = (3.1415)(.65) so

C = 2.04 m

The circumference of the wheel  is C = 2.04 m.

Given ,

          d = 0.65 m

          π = 3.14

Let's use that one since we are given the diameter of the tire, not the radius.

Use this formula ,     C = πd

                         C = (3.1415)(.65)

                       so, C = 2.04 m

Therefore, the circumference of the wheel  is C = 2.04 m.

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Answer:

4 is the answer to this question

Answer:

the answer is more strokes since the farther away you are the more strokes it takes

Hope This Helps!!!

B. 63

some simple googling would've been able to help you with this. but 0 isn't prime or composite, not sure about 1, 19 is prime, 63 is a definite composite

Answer:

B) (0,2)

Step-by-step explanation:

We substitute the values of x and y into this inequality:

2 ≥ 2(0)-1

2 ≥ 0-1

2 ≥ -1

This is true, so this is the correct point

hope this helps have a good day

Answer:

there it is

Step-by-step explanation:

Answer:

Volume: 37.692 cm3

Step-by-step explanation:

1) 1/3 x 3.14 x 3 power of 2 x 4

2) 1.047 x 9 x 4

3) 37.692 cm3

Answer:

[tex]Volume ~of~cone=\pi /3r^{2} h[/tex]

[tex]r=3cm[/tex]

[tex]h=4 cm[/tex]

[tex]volume=\pi /3\times3^{2} \times4[/tex]

[tex]=12\pi =12\times3.14[/tex]

[tex]=37.68~ cm^{2}[/tex]

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

hope it helps...

have a great day!!

Answer:

56

Step-by-step explanation:

Answer:

I don't know the selection options, so please pick them from the explanation below.

Step-by-step explanation:

"like terms" are in this contexts in one group all expressions with x, and in another group all expressions without x.

so,

3x and -2x/9

3x - 2x/9 = 27x/9 - 2x/9 = 25x/9

-1/5 ... = 124/5

... = 125/5 = 25

so, we end up with

25x/9 = 25

x/9 = 1

x = 9

Answer:

no solutions

Step-by-step explanation:

Hi there!

We're given this system of equations:

x+y=3

4y=-4x-4

and we need to solve it (find the point where the lines intersect, as these are linear equations)

let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable

we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4

y=-x-1

now we have y set as an expression containing x

substitute -x-1 as y in x+y=3 to solve for x

x+-x-1=3

combine like terms

-1=3

This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.

Therefore the answer is no solutions

Hope this helps! :)

The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution

Answer:

For two vectors to be orthogonal it means that their dot product must be equal to zero.

Usually dot product of perpendicular vectors is zero and thus all perpendicular vectors are orthogonal.

Answer:

y=1/2x+1/2

Step-by-step explanation:

the line intercepts at (0,0.5) which makes the y-intercept 1/2 and if you look at the slope, it increases 1 unit up and 2 units to the right so the slope is also 1/2

The equation of line is y= 1/2x+ 1/2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the graph as (-1, 0) and (3, 2).

So, slope of line = (2 - 0)/ (3 -(-1))

                            = 2/4

                            = 1/2

Now, slope- intercept form

y- 0 = 1/2 ( x-(-1))

y= 1/2x + 1/2

Hence, the equation of line is y= 1/2x+ 1/2

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Answer:

36.7

Step-by-step explanation:

180 - 102.9 - 40.4= 36.7

The measure of the third angle of the given triangle after applying the angle sum property of a triangle is 36.7 degrees.

The measures of the two angles of a triangle are 102.9 and 40.4.

We need to find the measure of the third angle.

The angle sum property of a triangle states that the sum of all three interior angles of a triangle is 180 degrees.

If A, B, and C are the interior angles we have,

A + B + C = 180.

Consider the three interior angles to be A, B, and C.

We are given two angles 102.9 and 40.4.

Let  A = 102.9,  B = 40.4.

and C = angle to be measured.

Now,

Applying the angle sum property of a triangle.

We have,

A + B + C = 180

102.9 + 40.4 + C = 180

143.3 + C = 180

C = 180 - 143.3

C = 36.7 degrees.

After applying the angle sum property of a triangle we got the measure of the third angle as 36.7 degrees.

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Answer:

70%

Step-by-step explanation:

Finding each side :-

Finding area of unshaded region :-

Overall area :-

Finding percentage :-

Answer:70%

Step-by-step explanation:

well, let's take a look at two independent events

A)  the potato is hot

B) it's raining

now, the potato could be hot whether is raining or not, A is totally independent of B, so what's the probability of "the potato being hot, GIVEN that it's raining" P(A | B)  is the same as if it wasn't raining, or P(A), the fact that B occurred, doesn't affect A at all, the potato is hot regardless, rain or not.  So P(A | B) = P(A).

Answer:

One

Step-by-step explanation:

This equation is not a quadratic and can be solved to get an integer solution

Answer:

Step-by-step explanation:

It can have at most 1 sensible answer. It may have zero and infinitely many

3x + 6 = - 1 - 3 + 4x              Combine the right

3x + 6 = - 4 + 4x                   Add 4 to both sides

3x + 6 + 4 = 4x                     Subtract 3x from both sides

3x  + 10 -3x = 4x - 3x             Combine

10 = x

The only answer (1) that is possible is 10.