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2 years ago

What is the y-intercept when a line has a slope of 3 and passes through the point (2, 7)?

Mathematics

1 answer:

dybincka [34]2 years ago

4 0

Answer:

The y-intercept is (0,1)

Step-by-step explanation:

So, first you need to find the equation! Point slope form is (y-y1)=m(x-x1).

Plug the numbers in and you get (y-7)=3(x-2). Now, the y intercept is where x=0, so plug in zero for x.

y-7=3(0-2)

y-7=3(-2)

y-7= -6.

-6+7= 1, so y=1

The ordered pair is then (0,1). Hope this was useful :)

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NO LINKS!! Please help me with these notes. Part 1a

erik [133]

Answers:

When we evaluate a logarithm, we are finding the exponent, or power x, that the base b, needs to be raised so that it equals the argument m. The power is also known as the exponent.

$5^2 = 25 \to \log_5(25) = 2$

The value of b must be positive and not equal to 1

The value of m must be positive

If 0 < m < 1, then x < 0

A logarithmic equation is an equation with a variable that includes one or more logarithms.

===============================================

Explanation:

Logarithms, or log for short, basically undo what exponents do.

When going from $5^2 = 25$ to $\log_5(25) = 2$ , we have isolated the exponent.

More generally, we have $b^x = m$ turn into $\log_b(m) = x$

When using the change of base formula, notice how

$\log_b(m) = \frac{\log(m)}{\log(b)}$

If b = 1, then log(b) = log(1) = 0, meaning we have a division by zero error. So this is why $b \ne 1$

We need b > 0 as well because the domain of y = log(x) is the set of positive real numbers. So this is why m > 0 also.

5 0

2 years ago

Deshawn has two bags of marbles. The first bag has 2 blue, 3 orange, and 5 red. The second bag has 4 pink, 10 blue, and 6 brown.

madreJ [45]

Answer: 0.1

Step-by-step explanation:

Given

Bag-I has 2 blue,3 orange, 5 red

Bag-II has 4 Pink,10 blue, 6 brown

No of ways of choosing a blue marble from bag-I

$\Rightarrow ^2C_1$

Total no of ways of choosing a marble from bag-I

$\Rightarrow ^{10}C_1$

No of ways of choosing a blue marble from bag-II

$\Rightarrow ^{10}C_1$

Total no of ways of choosing a marble from bag-II

$\Rightarrow ^{20}C_1$

The probability that he will pull out a blue marble from each bag is

$\Rightarrow P=\text{Probability of pulling a blue marble from bag-I}\times \text{Probability of pulling a blue out bag-II}$

$\Rightarrow P=\dfrac{^2C_1}{^{10}C_1}\times \dfrac{^{10}C_1}{^{20}C_1}\\\\\Rightarrow P=\dfrac{2}{10}\times \dfrac{10}{20}=\dfrac{1}{10}$

3 0

3 years ago

Bob's Bagels sells 7 bagels for $8.00, and Betty's Bagels sells 9 bagels

puteri [66]

Answer:

3 of 4

The better deal will have the higher ratio of dollars per bagel.

To find the better deal, you must compare the fractions 8/7 and 6/9.

Comparng the fractions reveals that Betty has the better deal

Step-by-step explanation:

bobbs bagels: 8/7 equals 1.14, so each bagel would cost about $1.14

bettys bagels: 6/9 equals 0.66, so each bagel would cost about $0.66

$0.66 is better than $1.14 per bagel. therefore, bettys bagels are cheaper

hope this helps :)

7 0

2 years ago

A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical met

Orlov [11]

Answer:

Approximately 809 cubes will be made

Step-by-step explanation:

To calculate the number if cubes to be made, we shall need to calculate the volume of both shapes

The volume of the cubes can be calculated using the formula L^3 = 3 * 3 * 3 = 27 cm^3

For the cylinder, the formula of the volume to use is

V = π * r^2 * h

The radius here is 10.5 cm and the height is 63 cm

V = 22/7 * 10.5^2 * 63 = 21,829.5 cm^3

The number of cubes that can be made is calculated by dividing the volume of the cylinder by that of the cube

That is 21,829.5/27 = 808.5 which is 809 to the nearest whole number

6 0

3 years ago

Let a and b be numbers. Use the distributive law to rewrite the expression in a simpler form. a(a+b) =

Kamila [148]

Answer:

Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.

Step-by-step explanation:

a(a+b)

in this question first a will multiply by a+b.

like this;

a(a+b)

= a(a)+ab

= a^2+ab

7 0

3 years ago