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3 years ago

Identify the equation in slope-intercept form for the line with the given slope that contains the given point. Slope =2; (1,4)

1 answer:

3 0

Slope-intercept form: y=mx+b, with m being the slope and b being the y-intercept. First, plug in the given slope into the slope form:

y=2x+b

Now, given the coordinates (1,4), you can plug the coordinates into the equation for x and y respectively, to solve for b (the y-intercept).

4=2(1)+b

4=2+b

Subtract 2 from both sides.

2=b

The y-intercept is 2.

Now, plug that into the equation:

y=2x+2

The answer is y=2x+2.

I hope this helps :)

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Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient

ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

$=9 \times x\\= 9x$

The quotient of that number and 5.

$= \frac{x}{5}$

The difference between both expression;

$9x - \frac{x}{5}$

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as $9x - \frac{x}{5}$

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

$\frac{n}{12}$

Eight more than the resulting function is;

$\frac{n}{12}+8$

Hence eight more than the quotient of twelve and a number n is expressed as $\frac{n}{12}+8$

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

$6-x$

product of a number x and the quantity 'six minus the number is;

$x(6-x)$

quotient of eight and the number is;

$\frac{8}{x}$

Taking the resulting sum of the last two expression

$x(6-x) + 8x$

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

$x(6-x) + 8x$

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

$= 2x +(2x+2)+(2x+2+2)\\= 2x+(2x+2)+(2x+4)$

4 0

3 years ago

What is 47%as a fraction

ivolga24 [154]

Answer:

47/100

Step-by-step explanation:

47 -> 0.47 47/100 = 0.47

6 0

3 years ago

Read 2 more answers

A rectangular box is 6 inches wide 10 inches long and 2 inches tall how much wrapping paper is needed to cover the box exactly

stepladder [879]

Answer:

184 in²

Step-by-step explanation:

Given :

Width, w = 6 inches

Length, l = 10 inches

Height, h = 2 inches

To obtain how much wrapping paper is needed ; we take the surface area of the box

Surface area = 2(lw + lh + wh)

Surface area = 2((6*10) + (6*2) + (10*2))

Surface area = 2(60 + 12 + 20)

Surface area = 2(92)

Surface area = 184 in²

The amount of wrapping paper needed = 184 in²

7 0

3 years ago

The point (4,-5) is rotated 90° clockwise

V125BC [204]

Answer:

5,4

Step-by-step explanation:

here is the rule (4,-5) rotate 90 clockwise = (5,4)

4,-5 will put you in the 4 quadrant rotate it 90 clock wise Put you in the first quadrant

6 0

3 years ago

PLEASE HELP!!!!!!!!!!

yan [13]

$115 = l \times 2.5 \times 5.75$

$\huge \mathrm{Answer࿐}$

given :

$\longmapsto$ volume = 115 yd³

Dimensions are :

$2\frac{1}{2} yd$

$5\frac{3}{4} yd$

We know,

$\large \boxed{ \mathrm{volume = l \times b \times h}}$

$115 = 2\frac{1}{2} \times 5\frac{3}{4} \times l$

$l \times \dfrac{5}{2} \times \dfrac{23}{4} = 115$

$l \times \dfrac{115}{8} = 115$

$l = 115 \times \dfrac{8}{115}$

$l = 8 \: yd$

Therefore Length of the prism is 8 yards.

_____________________________

$\mathrm{ \#TeeNForeveR}$

5 0

3 years ago