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3 years ago

Does anybody know this ?

Mathematics

1 answer:

amid [387]3 years ago

5 0

Answer:

The slope is -1

Step-by-step explanation:

We know that the slope is -1 because every time the line goes down 1 unit the line goes to the right one unit making it 1/1 or just 1, then because the line is going down the 1 transforms into a -1

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Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio

Viefleur [7K]

Answer:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Step-by-step explanation:

<u>Geometric Sequences</u>

The geometric sequence is given as:

$a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}$

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

$\displaystyle S_n=a_1\frac{r^n-1}{r-1}$

We are given: S3=252, a1=192, thus substuting:

$\displaystyle 252=192\frac{r^3-1}{r-1}$

Dividing by 12:

$\displaystyle 21=16\frac{r^3-1}{r-1}$

Recall that:

$r^3-1=(r-1)(r^2+r+1)$

Substituting:

$\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}$

Simplifying:

$21=16(r^2+r+1)=16r^2+16r+16$

Rearranging:

$16r^2+16r+16-21=0$

16r^2+16r-5=0

Rewriting:

$16r^2-4r+20r-5=0$

Factoring:

$4r(4r-1)+5(4r-1)=0$

$(4r-1)(4r+5)=0$

Solving:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Both solutions are valid

6 0

3 years ago

6x18 - 18x12 + 36x15

Lady bird [3.3K]

Answer:

432? I cannot tell if x is multiplication or a variable

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which two values of x are roots of the polynomial below? x^2-3x+5

Gemiola [76]

Given:

Polynomial $x^2-3x+5$

To find:

The values of x.

Solution:

$x^2-3x+5=0$

Quadratic equation formula:

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here $a=1, b=-3, c=5$ .

Substitute the values in the formula, we get

$$x=\frac{-(-3) \pm \sqrt{(-3)^{2}-4 \cdot 1 \cdot 5}}{2 \cdot 1}$

$$x=\frac{3 \pm \sqrt{9-20}}{2}$

$$x=\frac{3 \pm \sqrt{-11}}{2}$

$$x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}$

Option E and option F are the roots of the polynomial.

The values of x are $x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}$ .

7 0

3 years ago

Lesson 2-3

malfutka [58]

Answer:

18. g= -3

19. x= -1

20. n= 3

21. p= -1

22. d= -3

23. a= 5

Step-by-step explanation:

how to solve the variable (using 18 as an example)

step 1: simplify both sides of the equation.

20+g+g=14

(g+g)+(20)=14(combine like terms)

2g+20=14

step 2: subtract 20 from both sides.

2g+20−20=14−20

2g=−6

step 3: divide both sides by 2.

2g/2 = -6/2

6 0

3 years ago

Is this true or no plz help

il63 [147K]

Im pretty sure its No.

7 0

3 years ago