All categories

4 years ago

State the slope and y-intercept (y=mx+b)

Mathematics

1 answer:

stiks02 [169]4 years ago

8 0

10. slope =1 y intercept =8
11. slope=-5/2 intercept=-2
12slope=1/3 intercept=0
13.slope =-9 intercept 0

You might be interested in

The quotient of y and 2 is greater than -21

mamaluj [8]

$y\div2 > -21\\\\\dfrac{y}{2} > -21\ \ \ \ |\cdot2\\\\y > -42\to y\in(-42,\ \infty)$

5 0

3 years ago

Tyler and Pearl went on a 20km bike ride that lasted for 3 hours. Because of steep hills or the trail, they walked for most of t

noname [10]

Answer: 1 hour

Step-by-step explanation:

Let the distance they walked be $d_1$ in time $t_1$ and the distance they walked be $d_2$ in time $t_2$ ,then

Walking speed= $\frac{d_1}{t_1}=4$

$\\\Rightarrow\ d_1=4t_1$

Riding speed= $\frac{d_2}{t_2}=12$

$\\\Rightarrow\ d_2=12t_1$

Also the total time taken=3 hours

∴ $t_1+t_2=3\\\Rightarrow\ t_2=3-t_1$ ...(1)

Since the total distance= 20 km

∴ $d_1+d_2=20\\\Rightarrow4t_1+12t_2=20\\\Rightarrow4t_1+12(3-t_1)=20..............[\text{from (1)}]\\\Rightarrow4t_1+36-12t_1=20\\\Rightarrow-8t_1=-8\\\Rightarrow\ t_1=1$

Thus, the they spent 1 hour time in walking.

7 0

3 years ago

Answer this question.<br><br> You get a thank you and 5 stars if it's the correct answer.

Elena L [17]

Answer:

w=5

x=7

y=6

z=12

Step-by-step explanation:

hope this helps you

4 0

2 years ago

Read 2 more answers

(<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^{2} " alt=" x^{2} " align="absmiddle" class="l

Alisiya [41]

(x^2-3x+2)-1(3x^2-5x-1)=
x^2-3x+2-3x^2+5x+1=
x^2-3x^2-3x+5x+2+1=
-2x^2+2x+3

4 0

4 years ago

Read 2 more answers

Choose whether it's always, sometimes, never

Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If $a\in Z\text{ and }b\in Z$ , then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

A polynomial is in the form of,

$p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0$

Where $a_n,a_{n-1},...,a_1,a_0$ are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

If a polynomial divided by a polynomial then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

$f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2$

Then $\frac{f(x)}{g(x)}=x^2+5$ , which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

$f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2$

Then $\frac{g(x)}{f(x)}=\frac{1}{x^2+5}$ , which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

As we know a polynomial is in the form of,

$p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0$

Where $a_n,a_{n-1},...,a_1,a_0$ are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3 0

3 years ago

Read 2 more answers