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3 years ago

Help needed ASAP will give BRAINLIEST

Mathematics

1 answer:

postnew [5]3 years ago

8 0

Answer: 4. - Labor to overcome

Step-by-step explanation:

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The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18

KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

$x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x$

Sum of their ages will be

$x+x-9+x-9\\\\=3x-18$

According to question,

$1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19$

So, Age of older sister will be 19 years.

Age of the twins will be

$19-9=10\ years$

Hence, the age of the twins is 10 years.

3 0

3 years ago

Under her cell phone plan, Peyton pays a flat cost of $48 per month and $3 per gigabyte. She wants to keep her bill at $60.60 pe

Ad libitum [116K]

Answer: 4.20 gigabyte

Step-by-step explanation:

Based on the information given in the question, the equation that can be used to determine the the number of gigabytes of data Peyton can use while staying within her budget will be:

48 + 3g = 60.60

3g = 60.60 - 48

3g = 12.60

g = 12.60/3

= 4.20

The number of gigabytes of data is 4.20g

4 0

2 years ago

Read 2 more answers

Solve the following system of equations. What is one x-value of a solution?

gulaghasi [49]

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

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

$x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)}$

$x = \frac{-36 \pm 33.11}{2}$

$x_1 = \frac{-36 + 33.11}{2}$

$x_1 = -1.445$

$x_2 = \frac{-36 - 33.11}{2}$

$x_2 = -34.555$

5 0

2 years ago

If four times of a number is added to seven the result is 92

MA_775_DIABLO [31]

Answer:

22 1/4 or 22.25

Step-by-step explanation:

4x + 7 = 92

4x = 85

x = 22 1/4

8 0

2 years ago

HELP!<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx-1%7D-x%3D-7" id="TexFormula1" title="\sqrt{x-1}-x=-7" alt="\sqrt{x-1}-x=

katen-ka-za [31]

$\huge \huge \huge\huge\mathrm{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed {\boxed{ \huge\mathfrak{ Solution}}}}}}}}$

$\sqrt{x - 1} - x = - 7$

$\sqrt{x - 1} =x - 7$

$x - 1 = (x - 7) {}^{2}$

$x - 1 = {x}^{2} + 49 - 14x$

${x}^{2} - 14x + 49 - x + 1 = 0$

${x}^{2} - 15x + 50 = 0$

${x}^{2} - 10x - 5x + 50 = 0$

$x(x - 10) - 5(x - 10) = 0$

$(x - 5)(x - 10) = 0$

$x = 5 \: \: \: or \: \: \: x = 10$

6 0

2 years ago

Read 2 more answers