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3 years ago

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Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks s and ties t

on sale for $4 and $11, respectively. Which equation models this situation?

1 answer:

tatyana61 [14]3 years ago

4 0

Answer:

Step-by-step explanation:

No sé

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Cuánto es 43,5 * 8,6

Vladimir [108]

Answer:

christian

Step-by-step explanation:

43,5=435

8,6=86

5 0

3 years ago

How to solve 0.5x +78.2 =287

Inessa [10]

You can subtract 78.2 from 287 to get the x value alone. Your new expression will look like this:
.5x=208.8
Next you divide by .5 (or multiply the reciprocal 1/.5 depending on how you were taught)
x=417.6

Hope that helps!!

8 0

3 years ago

Read 2 more answers

Solve for x:<br> - 11x + 32.5 < 82

V125BC [204]

Answer:

x>-4.5

Step-by-step explanation:

- 11x + 32.5 < 82

Subtract 32.5 from each side

- 11x + 32.5-32.5 < 82-32.5

- 11x < 49.5

Divide each side by -11. remembering to flip the inequality since we are dividing by a negative

-11x/-11 > 49.5/-11

x>-4.5

8 0

3 years ago

Let T:P3â†’P3 be the linear transformation such that T(â’2x2)=3x2+4x, T(0.5x+3)=â’3x2+3xâ’4, and T(2x2â’1)=â’3x+4. Find T(1), T(

balu736 [363]

It looks like we're told that

$T(-2x^2)=3x^2+4x$

$T\left(\dfrac12x+3\right)=-3x^2+3x-4$

$T(2x^2-1)=-3x+4$

We use the fact that $T$ is linear to find $T(1),T(x),T(x^2)$ . First, we notice that

$T(-2x^2)+T(2x^2-1)=T(-2x^2+2x^2-1)=T(-1)=-T(1)$

We also have

$T\left(\dfrac12x+3\right)=T\left(\dfrac12x\right)+T(3)=\dfrac12T(x)+3T(1)$

$T(2x^2-1)=T(2x^2)-T(1)=2T(x^2)-T(1)$

So once we find $T(1)$ , we can determine $T(x)$ and $T(x^2)$ . We have

$T(1)=-\left(T(-2x^2)+T(2x^2-1)\right)\implies T(1)=-3x^2-x-4$

and using this we find

$T(x)=12x^2+12x+16$

$T(x^2)=-\dfrac32x^2-2x$

Then

$T(ax^2+bx+c)=T(ax^2)+T(bx)+T(c)=aT(x^2)+bT(x)+cT(1)$

$T(ax^2+bx+c)=-\dfrac32\left(a-8b+2c\right)x^2-(2a-12b+c)x+16b-4c$

8 0

3 years ago

For each geometric sequence, write a recusive rule by finding the commom ratio by calculating the ration of consecutive terms. W

Inessa05 [86]

Answer:

$a_n=2.(3)^{n-1}$

Step-by-step explanation:

Given sequence is:

2,6,18,54,162

So the common ratio can be found by dividing the second term by first term:

r = 6/2 = 3

The standard formula for geometric sequence is:

$a_n=a_1r^{n-1}$

Putting the value of r

$a_n=2.(3)^{n-1}$

So,

$a_1=2.(3)^{1-1} => 2.3^0 = 2*1 = 2\\a_2=2.(3)^{2-1} => 2.3^1 = 2*3 = 6\\a_3=2.(3)^{3-1} => 2.3^2 = 2*9 = 18\\a_4=2.(3)^{4-1} => 2.3^3 = 2*27 = 54\\a_5=2.(3)^{5-1} => 2.3^4 = 2*81 = 162$

3 0

3 years ago