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3 years ago

Which relation is a function?

Mathematics

1 answer:

sashaice [31]3 years ago

7 0

Answer:

Step-by-step explanation:

B. for it to be a proper function, it must pass the vertical line test (meaning, if you were to fill a continuous line between each of the dots, and then drew a string vertical line down at any point along the function, that vertical line cannot intersect with the function line more than once.

A, would fail the vertical line test, C< and D would also fail, as a vertical line would intersect/cross the function line more than once.

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The coordinates of the vertices of □PQR are (-2,5), Q(-1,), and R(7,3). Determine whether □ PQR is a right triangle. Show Your W

alexdok [17]

Answer:

Slope of PQ

−

(

−

)

−

Slope of QR

−

(

−

)

Slope of RP

−

Since slopes PQ & PR,

−

, it's a right triangle

4 0

3 years ago

Write the monomial in standard form. name it's coefficient and identify its degree.

Hunter-Best [27]

Answer:

$Standard\ Form = {3n^2} m^{-2}$

Step-by-step explanation:

Given

$\frac{2}{3m^2n} * 4.5n^3$

Required

Write in Standard Form

To start with; the two monomials have to be multiplied together;

$\frac{2}{3m^2n} * 4.5n^3$

$Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}$

Split the numerator and the denominator

$Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}$

Multiply Like terms

$Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}$

Divide 9 by 3 to give 3

$Standard\ Form = \frac{3 * n^3}{m^2 * n}$

Divide n³ by n to n²

$Standard\ Form = \frac{3 * n^2}{m^2 }$

Split fraction

$Standard\ Form = {3 * n^2} * \frac{1}{m^2 }$

From laws of indices;

$\frac{1}{a^n} = a^{-n}$

$Standard\ Form = {3 * n^2} * \frac{1}{m^2 }$ becomes

$Standard\ Form = {3 * n^2} * m^{-2}$

Multiply all together

$Standard\ Form = {3n^2} m^{-2}$

5 0

3 years ago

Marvin solved the equation 4(x+5)=88 fill in the blanks

enot [183]

Answer:

x=17

Step-by-step explanation:

4(x+5) = 88

4x + 20 = 88

4x = 88-20

4x = 68

x = 68/4

x = 17

7 0

3 years ago

Read 2 more answers

Lena is 10 years old. She asks her dad how old he is. He tells her that the lowest common multiple of their ages is 14 times the

Ksju [112]

Answer:

Step-by-step explanation:

We know the factors of Lena's age are 2 and 5. The least common multiple must have these factors and the factors of 14, so will at least have factors of 2, 5, and 7.

Apparently, the dad's age is 5·7 = 35.

___

The GCF is 5; the LCM is 70 = 5×14.

_____

Sometimes, I use a little 3-part diagram to think about LCM and GCF. Here, it would look like ...

(2 [5) 7]

where the numbers in curved brackets (2·5) and the numbers in square brackets [5·7] are factors of the two numbers of concern (Lena's age, her dad's age). The middle number in both brackets [5) is the greatest common factor, and the product of all three numbers is their least common multiple.

Here, the product of outside numbers, 2·7 = 14, represents the ratio of the LCM to the GCF. We know that Lena's age has factors of only 2 and 5, so the numbers in the diagram have to be (2[5)7], where 2 and 7 are on the ends and 5 is in the middle.

7 0

3 years ago

A candy store is making a mixture of chocolate-coated almonds and chocolate-coated raisins. The

adell [148]

Answer:

Almond , raisins:

(1, 15)

(3, 7.5)

(5, 0)

Step-by-step explanation:

x: almond

y: raisin

30x + 8y = 150

x = 1, y = 15

x = 3 y = 7.5

x = 5, y = 0

3 0

3 years ago