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3 years ago

Please help me out! Thank you!

Mathematics

1 answer:

crimeas [40]3 years ago

5 0

Answer:

Slope intercept form is y=mx+b. M= -1, which means your slope is -1. So far the equation is y=-x+b. Now you need to find b which is the y-intercept. To find b, you will use the point (1,3). You will plug it in into the equation, it will look like this 3=-1(1)+b. Now you solve for b. Multiply -1 and 1 you get -1. Add 1 to both sides and you have b=4. So the equation is y=-x+4. So to find k, plug in the point (k,6). It will look like this 6=-k+4. Subtract 4 on both sides. 2=-k is what you have so far. Divide by -1 on both sides. THE ANSWER IS K=-2.

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At a competition with 8 runners, 2 medals are awarded for first and second place. Each medal is different. How many ways are the

BigorU [14]

Answer:

Step-by-step explanation:

At a competition, there are 8 runners

2 medals are awared for first and second place

Therefore the eat to award the medal van be calculated as follows

8×7

= 56

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3 years ago

NNADVOKAT [17]

Given that f(x) is a function that represents number of hours required to travel, the domain of the function is: distance travelled in miles (x)

Recall:

In a relation that is a function, the domain of the function is the set of input values (x-values).

The range of the function is the set of output values (y-values or f(x)).

Thus, given that f(x) is a function that represents number of hours required to travel, therefore:

x = input values (domain) = distance travelled in miles

f(x) = output values (range) = number of hours.

Learn more about domain of a function on:

brainly.com/question/10197594

4 0

2 years ago

Let H be the set of all polynomials having degree at most 4 and rational coefficients. Determine whether H is a vector space. If

Verizon [17]

Answer:

Yes. It is a vector space over the field of rational numbers $\mathbb{Q}$

Step-by-step explanation:

An element $p$ of the set $H$ has the form

$p(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}$

where $a_{0},a_{1},a_{2},a_{3},a_{4}$ are rational coefficients.

The operations of addition and scalar multiplication are defined as follows:

$p(x)+q(x)=(a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+x_{4}x^4)+(b_{0}+b_{1}x+b_{2}x^{2}+b_{3}x^{3}+b_{4}x^{4})=(a_{0}+b_{0})+(a_{1}+b_{1})x+(a_{2}+b_{2})x^{2}+(a_{3}+b_{3})x^{3}+(a_{4}+b_{4})x^{4}$

$\lambda p(x)=\lambda (a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4})=\lambda a_{0}+\lambda a_{1}x+\lambda a_{2}x^{2}+\lambda a_{3}x^{3}+\lambda a_{4}x^{4}$

The properties that $H$ , together the operations of vector addition and scalar multiplication, must satisfy are:

Conmutativity
Associativity of addition and scalar multiplication
Additive Identity
Additive inverse
Multiplicative Identity
Distributive properties.

This is not difficult with the definitions given. The most important part is to show that $H$ has a additive identity, which is the zero polynomial, that is closed under vector addition and scalar multiplication. This last properties comes from the fact that $\mathbb{Q}$ is a field, then it is closed under sum and multiplication.

7 0

3 years ago

A stem-and-leaf plot uses pictures or symbols to represent information. True False

vfiekz [6]

False, pictures are used in picture graphs or pictographs

4 0

3 years ago

Read 2 more answers

Will mark Brainlest Help please

madreJ [45]

Answer:

the duplicate ratio of a : b

= a²/b²

Step-by-step explanation:

for example:-

for understanding

if u wanna find the duplicate ratio of 4:5

so,

4²/5²= 16/25

•°• 16:25

16:25 is your duplicate ratio of 4:5

5 0

3 years ago