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2 years ago

Mark is playing an online puzzle game. He has 40 points and earns 2 points

Mathematics

1 answer:

cupoosta [38]2 years ago

5 0

the answer is A because if it needs to be over 60 the last two don't make sense and since for every question he makes 2 points how ever many points he makes is x and he need to multiply that by 2.

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5x + 3y = 30<br> What is the x and y intercept

Mrac [35]

The x-intercept is + 6 and the y-intercept is + 10

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3 years ago

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A researcher wishes to find out whether giving a student $1 million in cash will improve or ruin the student's grades in school.

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3 years ago

What adds up to -54 and multiplies to -16

Kaylis [27]

X + y = -54
xy = -16

$xy = -16$
$\frac{xy}{x} = \frac[-16}{x}$
$y = \frac{-16}{x}$

$x + y = -54$
$x + \frac{-16}{x} = -54$
$\frac{x^{2}}{x} + \frac{-16}{x} = -54$
$\frac{x^{2} - 16}{x} = -54$
$x^{2} - 16 = -54x$
$x^{2} + 54x - 16 = 0$
$x = \frac{-(54) \± \sqrt{(54)^{2} - 4(1)(-16)}}{2(1)}$
$x = \frac{-54 \± \sqrt{2916 + 64}}{2}$
$x = \frac{-54 \± \sqrt{2980}}{2}$
$x = \frac{-54 \± 59.6}{2}$
$x = -27 \± 29.8$
$x = -27 + 29.8$ $or$ $x = -27 - 29.8$
$x = 2.8$ $or$ $x = 56.8$

x + y = -54
  2.8 + y = -54
- 2.8 - 2.8
y = -56.8
(x, y) = (2.8, -56.8)

or

  x + y = -54
  -56.8 + y = -54
+ 56.8 + 56.8
y = 2.8
  (x, y) = (-56.8, 2.8)

The two numbers that add up to -54 and multiply to -16 are -56.8 and 2.8.

8 0

3 years ago

Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.

Verizon [17]

Answer:

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

$S_n=a_1\cdot\dfrac{1-r^n}{1-r}$

a₁ - first term

r - common ratio

We have

$a_n=-4(6)^{n-1}$

Calculate a₁. Put n = 1:

$a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4$

Calculate the common ratio:

$r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6$

$\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948$

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3 years ago

What's the ratio of 153:53

natita [175]

153:53 is a ratio! Another form of this ratio could be "153 to 53" or "153/53".

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3 years ago

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