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SashulF [63]
3 years ago
7

Givers the linear sequence, -2,7,X,Y, 2... Find the value of Z.

Mathematics
1 answer:
Harrizon [31]3 years ago
7 0

Answer:

Z = 34

Step-by-step explanation:

From the series, we have that:

a = -2

a + d = 7

Hence, -2 + d = 7

∴ d = 7 + 2 = 9

a + 2d = X; a + 3d = Y and a + 4d = Z

-2 + 4(9) = Z

∴ Z = 36 - 2 = 34

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Find the slope and y intercept
zepelin [54]

Answer:

slope = -1

y intercept (0,-2)

Step-by-step explanation:

We can use the two points to find the slope

(-4,2) and (1,-3)

m = ( y2-y1)/(x2-x1)

    = (-3 -2)/(1 - -4)

   = -5 /(1+4)

   = -5/5

 - 1

The y intercept is where it crosses the y axis

y intercept is (0,-2)

5 0
3 years ago
What is the value of 4 + 5x when x = 3?<br><br> 11<br> 12<br> 17<br> 19
kirza4 [7]
19 is the answer 4+5(3)= 4+15=19
8 0
3 years ago
Read 2 more answers
Please please help me
Gekata [30.6K]

Answer:

\large\boxed{\dfrac{\boxed{8}}{81}}

Step-by-step explanation:

\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}

\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}

8 0
3 years ago
Multiply.
prohojiy [21]

Answer:

D. 3x² + 19x - 14

Step-by-step explanation:

Use FOIL to find the answer.

First: x * 3x = 3x²

Outer: -2 * x = -2x

Inner: 3x * 7 = 21x

Last: 7 * -2 = -14

Form the equation:

3x² - 2x + 21x - 14

Combine like terms.

3x² + 19x - 14

8 0
3 years ago
The Jackson family went out to dinner. The price of the meal was $43.45. The sales tax was 7% of the price of the meal. The tip
brilliants [131]

Answer: 53.40

Step-by-step explanation:

Tax = 7% of 43.45 = 3.04

Tip = 15% of (3.04 + 43.45) = 6.91

Total = 43.45 + 3.04 + 6.91

3 0
3 years ago
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