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Brums [2.3K]
3 years ago
6

Solve x^2 − 4x = 14.

Mathematics
1 answer:
DENIUS [597]3 years ago
3 0
Minus 14 from both sides
x²-4x-14=0
use quadratic formula because we cant factor

for
ax²+bx+c=0
x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}

so
1x²-4x-14=0
a=1
b=-4
c=-14

x= \frac{-(-4)+/- \sqrt{(-4)^2-4(1)(-14)} }{2(1)}
x= \frac{4+/- \sqrt{16+56} }{2}
x= \frac{4+/- \sqrt{72} }{2}
x= \frac{4+/- 6\sqrt{2} }{2}
x= 2+/- 3\sqrt{2}

the solutions are
x=2+√3 and
x=2-√3
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Answer:

k=9

Step-by-step explanation:

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4 0
2 years ago
Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each
valina [46]

Answer:

140 + 96 m

Step-by-step explanation:

There are 4 weeks in 1 month.

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Jonny has $50 in a savings account. Each week, he deposits $13 in the account.

$50 + $13 × 4m

The algebraic expression is given as:

50 + 52m

Jonny's brother has $90 in a saving account.

Each week, he deposits $11 in the account.

The algebraic expression is given as:

$90 + $11 × 4m

90 + 44m

An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:

Amount Jonny has + Amount his brother has

50 + 52m + 90 + 44m

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3 years ago
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Kisachek [45]

Answer:

$8825.10

Step-by-step explanation:

Interest total= P x r x t

P = principal amount, or $6900

r= interest rate, or 0.031

t = time, or 9 years

6900 x 0.031 x 9 = 1925.10

You now add this to the original amount

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6 0
3 years ago
Solve both questions please ❤️❤️
harina [27]

Answer:

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2. GK is angle G bisector. Use angle bisector's property:

\dfrac{GH}{GI}=\dfrac{KH}{KI}\\ \\\dfrac{40}{24}=\dfrac{30}{x}\\ \\40x=24\cdot 30\\ \\4x=24\cdot 3\\ \\x=6\cdot 3=18

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3 years ago
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vazorg [7]
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3 years ago
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