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3 years ago

What is the x-intercept of the graph of y=3−5x?

Mathematics

2 answers:

Alona [7]3 years ago

7 0

Answer:

Here is your answer honey

klemol [59]3 years ago

4 0

Step-by-step explanation:

what did it mean to have an x-(axis-)intercept ?

just imagine the function curve gets closer and closer to the x-axis, and then finally intersects it.

that means there is a point on this function that is also on the x-axis.

what are the coordinates of points on the x-axis ?

well, sure, for x any value from -infinity to +infinity is possible.

but what about y ? what values can y have for points on the x-axis ? greater than 0 ? lower than 0 ?

no, if y would have any value different than 0, this point would not be ON the x-axis.

so, we know, the interception point must have y = 0.

and that is what we use in our function equation :

0 = 3 - 5x

5x = 3

x = 3/5

so, at x=3/5 there is the x-interception with the point coordinates (3/5, 0).

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Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (3, 1, 0) and perpendicu

iren2701 [21]

Answer with Step-by-step explanation:

We are given that a point (3,1,0)

Two vectors are

A=<1,1,0>

B=<0,1,1>

$A\times B=\begin{vmatrix}i&j&k\\1&1&0\\0&1&1\end{vmatrix}$

$A\times B=i-j+k$

Let v $=A\times B=i-j+k$

$v==$

$r_0==$

$r=r_0+vt$

Substitute the values then we get

$r=+t$

$r=$

The parametric equation of the line

$x=x_0+at,y=y_0+bt,z=z_0+ct$

Using the formula

The parametric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by

$x=3+t,y=1-t,z=t$

The symmetric equation of the line is given by

$\frac{x-x_0}{a}=\frac{y-y_0}{b}=\frac{z-z_0}{c}$

Using the formula

The symmetric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by

$\frac{x-3}{1}=\frac{y-1}{-1}=z$

8 0

4 years ago

What is the volume of a triangular pyramid if the base area is 125 square feet and the height is 15 feet

joja [24]

Answer:

625 cubic feet

Step-by-step explanation:

Given data

Base area= 125 square feet

Height = 15feet

The expression for the volume of a pyramid is given as

V= a^2*h/3

but a^2= 125 square feet

V= 125*15/3

V= 1875/3

V=625 cubic feet

8 0

3 years ago

Can someone help me with number 3 and 4 plz!:(

Sveta_85 [38]

You will need the graph for this questions

3 0

3 years ago

Which answer describes the type of sequence?

ElenaW [278]

I think the answer is arithmetic.
I hope this helps! Be safe out there.
Sorry if I’m wrong

3 0

3 years ago

Read 2 more answers

find the value of k for which the following system of equations has a unique solutions 1 . kx +2y= 5 , 3x+y=1

lana66690 [7]

Answer:

If you choose any value for k other than 6, that will be give you the one solution.

If k=6, you have no solutions because the lines will be parallel.

Step-by-step explanation:

We are going to put each of this in y=mx+b where m is the slope and b is the y-intercept.

kx+2y=5

Subtract kx on both sides:

2y=-kx+5

Divide both sides by 2:

y=(-k/2)x+(5/2)

The slope is -k/2 and the y-intercept is 5/2

3x+y=1

Subtract 3x on both sides:

y=-3x+1

The slope is -3 and the y-intercept is 1.

We want the system to have one solution so we want the slopes to be difference.

So we don't want (-k/2)=(-3).

Multiply both sides by -2: k=6.

We won't want k to be 6.

3 0

3 years ago