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4 years ago

Step by step y/3-8=1

1 answer:

3 0

Add the -8 to the other side making it positive, so it would be y/3=9 then multiply both sides by 3 to get y=27

y/3-8=1
y/3-8+8=1+8
y/3=9
y/3 x 3= 9x3
y=27

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If the points (0, 0), (-1, 1), and (-2, 2) lie on the graph of function h, then which of the following rules could represent the

Maslowich

Answer:

Option B is correct

The function h(x) = |x|

Step-by-step explanation:

Given the points (0, 0) , (-1 , 1) and (-2 , 2)

The absolute value of x i,e |x| will always gives the positive value of y

i.e y = |x|

For x = 0

y=|x| =|0| = 0

For x =-1

y= |-1| = 1

For x = -2

y = |x| = |-2| = 2

As you can see that for every value of x , we get the positive value of y;

therefore, the function which represents the condition is: y=h(x)=|x|

Hence, the given points lie on the graph of the function h(x) = |x|

4 0

3 years ago

Read 2 more answers

What tool would use to measure around a cup

hodyreva [135]

Answer:

one tool you can use would be tape measure

3 0

3 years ago

Una clase de 32 se dividen para ir al cine y el otro grupo a la piscina. Si la entrada de la piscina cuesta 2,5 euros y la del c

AveGali [126]

Answer:

14 children went to the movies and 18 went to the pool.

14 niños en el grupo del cine y 18 en el grupo de la piscina.

Step-by-step explanation:

We can solve this question using a system of equations.

I am going to say that:

x is the number of children that went to the movies.

y is the number of children that went to the pool.

Class of 32:

This means that $x + y = 32$

To go to the pool, it costs 2.5 euros. To go the movies, it costs 3.5 euros. 94 euros were spent.

This means that $3.5x + 2.5y = 94$

From the first equation:

$y = 32 - x$

Replacing in the second

$3.5x + 2.5y = 94$

$3.5x + 2.5(32 - x) = 94$

$3.5x + 80 - 2.5x = 94$

$x = 14$

$y = 32 - x = 32 - 14 = 18$

14 children went to the movies and 18 went to the pool.

14 niños en el grupo del cine y 18 en el grupo de la piscina.

7 0

3 years ago

Find the value of annuity if the periodic deposit is $1500 at 8% compounded semiannually for 22 years

Jet001 [13]

Answer:

The value of annuity is $P_v = \$ 32058$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 1500$

The interest rate is $r = 8\% = 0.08$

Frequency at which it occurs in a year is n = 2 (semi-annually )

The number of years is $t = 22 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 1500 * [1 - (1 + \frac{0.08}{2} )^{-22 * 2} ] * [\frac{(1 + \frac{0.08}{2} )}{ \frac{0.08}{2} } ]$

$P_v = 1500 * [1 - (1.04 )^{-44} ] * [\frac{(1.04 )}{0.04} ]$

$P_v = 1500 * [1 - 0.178 ] * [\frac{(1.04 )}{0.04} ]$

$P_v = \$ 32058$

8 0

3 years ago

Use Long Division to answer number 4. Please show all work!

skelet666 [1.2K]

Answer:

2x² + 3x + 4 + (17x + 9) / (x² − 4)

Step-by-step explanation:

Start by setting up the division. Make sure to write all the coefficients, even the zero ones.

x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7

Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²). That's 2x²; it'll be the first term in quotient. Multiply the divisor by 2x²:

2x⁴ + 0x³ − 8x²

Subtract that from the first three terms of the dividend:

3x³ + 4x²

Drop down the next term from the dividend, and start the process all over again.

3x³ + 4x² + 5x

When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.

4 0

3 years ago