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damaskus [11]
1 year ago
15

In each of the following equations, what is y when z=2? When x = 0? Where would the graph of each equation cross the y-axis? Hom

ey
Help
a. y = 3x + 15
b. y=3-3z
Mathematics
1 answer:
Lelechka [254]1 year ago
5 0

Answer:

a. y = 3 × 0 + 15

y= 0+15

y= 15

Step-by-step explanation:

Subtitute the variables into the place they are denoted with and solve it

And the place where the equation will cross the y axis is just the last numbers i.e. 15 and 3z which is 6

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Work out and simplify where possible <br><br> a) 2/5+1/3<br><br> b) 5/9-1/2
Vlad1618 [11]
The answer is
a) 11/15
b) 1/18
5 0
3 years ago
Select all of the potential solution(s) of the equation 2log5x = log54.
Vanyuwa [196]

Answer:

x = ±2

Step-by-step explanation:

A equation is given to us , which is ,

\longrightarrow 2log_5(x) = log_5 4

From <u>properties </u><u>of </u><u>logarithm </u>we know that ,

\longrightarrow alog\ m = log \ m^a

Applying this to LHS , we have ;

\longrightarrow log_5 x^2 = log_5 4

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

\longrightarrow x^2 = 4

Put square root on both sides,

\longrightarrow x =\sqrt{4}

Simplify ,

\longrightarrow \underline{\underline{ x =\pm 2 }}

This is the required answer.

6 0
2 years ago
A parabola and its directrix are shown on the graph. On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0) a
sukhopar [10]

Answer:

The focus of the parabola is at the point (0, 2)

Step-by-step explanation:

Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."

Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)

5 0
3 years ago
Read 2 more answers
Which equation is linear?<br><br> a<br> xy = 60<br><br> b<br> y + 1 = x<br><br> c<br> 3x – 2y = 5
Firlakuza [10]

Answer:

equation B is linear. A linear equation will not contain exponents.

Step-by-step explanation:

6 0
3 years ago
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Write the prime factorization of the number. 18,234
shusha [124]

Answer:

18234=2\times 3\times 3\times 1013

Step-by-step explanation:

We are given that a number 18234

We have to find the prime factorization of the number

Prime factorization : The number written  is in  the product of prime numbers is called prime factorization.

In order to find the prime factorization we will find the factors of given number

18234=2\times 3\times 3\times 1013

Hence, the prime factorization of 18234=2\times 3\times 3\times 1013

3 0
3 years ago
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