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2 years ago

Evaluate the algebraic expression when x=10

Mathematics

1 answer:

matrenka [14]2 years ago

7 0

https://www.mathpapa.com/algebra-calculator.html?q=x%3D10x%2F2%2B5

Step-by-step explanation:

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Solve the following system of equations. Express your answer as an ordered pair in the format (a,

choli [55]

The second equation is -5-2y=2, then

-2y=2-(-5),

-2y=2+5,
-2y=7,
y=7÷(-2),
y=-3.5.
The first equation is 2x+5y=16, subtitude y=-3.5 in this equation, then
2x+5·(-3.5)=16,
2x-17.5=16,
2x=16-(-17.5),
2x=16+17.5,
2x=33.5,
x=33.5÷2,
x=16.75.
Answer: (16.75,-3.5)

8 0

3 years ago

Read 2 more answers

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

2 years ago

Given: ABC , BD is an altitude to side AC, & D is a midpoint Prove: AB BC

Over [174]

Answer:

steps below

Step-by-step explanation:

BD⊥AC ∠ADB = ∠CDB = 90°

D is mid-point: AD = CD

BD = BD

ΔADB ≅ ΔCDB

AB = BC

5 0

2 years ago

Read 2 more answers

Consider the recursively defined function below

Zinaida [17]

Answer:

So, the first five terms of the sequence defined by the given recursive function are shown below.

F(1) 0.75 f(2) 1.1 F(3) 1.45 F(4) 1.8 f(5) 2.15

written on plato

Step-by-step explanation:

5 0

2 years ago

What is 0.37 divided to5.18

erik [133]

.37 divided to 5.18 = 14

First you move the decimals of .37 to the right and add two zeros since u moved to places to the right. Then 37 can go into 51800 14 times

3 0

3 years ago