Can any body help with the word problems

Mathematics

1 answer:

Georgia [21]3 years ago

6 0

Answer:

1) 8x - 9

2) 5x - 2

Step-by-step explanation:

1) Given 8 times the difference between a number x and 9.

This means we should have: $8(x - 9)$

Now using the distributive property we distribute 8 to x and 9 like:

$8x - 72$ . Thus the answer.

For 2) All the expressions except 4 equals $5x - 10$ . The last option is $5x - 2$ . Thus the answer.

You might be interested in

Find an equation of the plane that contains the points p(5,−1,1),q(9,1,5),and r(8,−6,0)p(5,−1,1),q(9,1,5),and r(8,−6,0).

topjm [15]

Given plane passes through:
p(5,-1,1), q(9,1,5), r(8,-6,0)

We need to find a plane that is parallel to the plane through all three points, we form the vectors of any two sides of the triangle pqr:
pq=p-q=<5-9,-1-1,1-5>=<-4,-2,-4>
pr=p-r=<5-8,-1-6,1-0>=<-3,5,1>

The vector product pq x pr gives a vector perpendicular to both pq and pr. This vector is the normal vector of a plane passing through all three points
pq x pr
=
i j k
-4 -2 -4
-3 5 1
=<-2+20,12+4,-20-6>
=<18,16,-26>

Since the length of the normal vector does not change the direction, we simplify the normal vector as
N = <9,8,-13>

The required plane must pass through all three points.
We know that the normal vector is perpendicular to the plane through the three points, so we just need to make sure the plane passes through one of the three points, say q(9,1,5).

The equation of the required plane is therefore
Π : 9(x-9)+8(y-1)-13(z-5)=0
expand and simplify, we get the equation
Π : 9x+8y-13z=24

Check to see that the plane passes through all three points:
at p: 9(5)+8(-1)-13(1)=45-8-13=24
at q: 9(9)+8(1)-13(5)=81+9-65=24
at r: 9(8)+8(-6)-13(0)=72-48-0=24
So plane passes through all three points, as required.

3 0

2 years ago

4. What is the volume of the pyramid?<br> 7 ft<br> 9 ft<br> 10 ft

xz_007 [3.2K]

Pyramids and cones have volumes which are one third of their matching cuboids and cylinders.

The volume of this pyramid = (7 x 9 x 10)/3 = 630 / 3 = 210 cu ft

8 0

2 years ago

A car dealership is trying to sell all of the cars that are on the lot. If there are 675 cars on the lot and they sell 45 cars p

Lisa [10]

Around 14 weeks

45*14=630
675-630=45

So around 14 weeks

8 0

2 years ago

Find the slope and y-intercept of -x + 2y = 3. I need help on working this problem out

natita [175]

Answer:

So the slope of this function is $\frac{1}{2}$ and the y-intercept is $\frac{3}{2}$