Ask question

Ask question

All categories

3 years ago

12

The goal of a toy drive is to donate more than 1000 toys. The toy drive already has collected 300 toys. How many more toys does

the toy drive need to meet its goal? Write and solve an inequality shows the points you must earn to go the next level?

1 answer:

yarga [219]3 years ago

6 0

Answer:

Need to collect more than 700 toys.

Step-by-step explanation:

x=# of toys needed

$x+300>1000$

$x>1000-300$

$x>700$

Need to collect more than 700 toys.

You might be interested in

Let T:R²->R² be a linear transformation ,and assume that T (1,2)=(-1,1) and T(1,-1)=(2,3)

zavuch27 [327]

Answer:

(-4,-1)

Step-by-step explanation:

We are given T(1,2)=(-1,1) and T(1,-1)=(2,3) and T is a linear transformation.

This implies for scalars a and b that

T(a(1,2)+b(-1,1))=aT(1,2)+bT(-1,1)

T((a,2a)+(-b,b))=a(-1,1)+b(2,3)

T((a-b,2a+b))=(-a,a)+(2b,3b)

T((a-b,2a+b))=(-a+2b,a+3b)

This means we should be able to solve the system below to find a and b for T(3,3):

a-b=3 and 2a+b=3

Add equations to eliminate b and solve for a:

3a=6

Divide 3 on both sides:

a=2

If a-b=3 and a=2, then b=-1.

Plug in a=2, b=-1:

T((a-b,2a+b))=(-a+2b,a+3b)

T((2--1,2×2+-1)=(-2+2×-1,2+3×-1)

T(3,3)=(-4,-1).

4 0

3 years ago

How do you do this and what are the answers

scoray [572]

I can answer 1 to 4...
The area of a circle can be found by $\pi r^{2}$ . Reminder: $\pi = 3.14$ (usually used when finding out the area of a circle)

1. $4^{2} = 16$
$\pi *16$ or $3.14 * 16 = 50.24$
$50.24/4=12.56$

2. $6^{2} = 36$
$\pi *36$ or $3.14 * 36 = 113.04$
$113.04/10=11.304$

(Not really sure if this is correct) 3. $2^{2}=4$
$\pi *4$ or $3.14 * 4$
$12.56/2.66666667=11.70999999$

4. $6^{2}=36$
$\pi *36= 113.04$
$113.04/6=18.84$

5 0

3 years ago

Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7

WARRIOR [948]

Answer: The equation of the parabola is $(x+5)^2=-24(y-1)$ .

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

$(x-h)^2=4p(y-k)$

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

$(h,k+p)=(-5,-5)$

On comparing,

$h=-5$

$k+p=-5$ .... (1)

The directrix is y=7.

$k+p=7$ .... (2)

Add equation (1) and (2),

$2k=2$

$k=1$

Put this value in (1).

$p=-6$

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

$(x+5)^2=4(-6)(y-1)$

$(x+5)^2=-24(y-1)$

Therefore, the equation of parabola is $(x+5)^2=-24(y-1)$ .

8 0

3 years ago

Read 2 more answers

Use the graph to answer the question.

Lelu [443]

Answer:

Coordinate Q is (0.8, 0.7)

Step-by-step explanation:

We are told that the coordinates of point Pare (0.6,0.1).

This means that along the x-axis, x = 0.6 and along the y-axis, y = 0.1.

Now, by inspection of the graph, we can see that when we count boxes from the origin to the point P, we have 6 boxes. Thus, each box corresponds to 0.1. So, for point Q, from the origin to that point, on the x-axis, we have 8 boxes. Since one box = 0.1, then the x - value of Coordinate Q is 0.8.

On the y - axis, we see that we have one box from the origin up for the corresponding y-value of coordinate P.

This means that one box is 0.1.

For coordinate Q, we will count 7 boxes. Thus, y-value of coordinate Q is 0.7.

Thus,coordinate Q is (0.8, 0.7)

7 0

3 years ago

What is the equation of a vertical line passing through the point (−4, 7)? y = 7 y = −4 x = 7 x = −4

Katen [24]

The equation of the vertical line passing through point -4,7 would be X = -4.

8 0

3 years ago

Read 2 more answers