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4 years ago

Find the value of x.

Mathematics

2 answers:

-Dominant- [34]4 years ago

7 0

Answer:

x=8

Step-by-step explanation:

Set 40 + y = 90

y=50

y = 6x + 2

6x + 2 = 50

6x = 48

48/6 = x

x=8

uranmaximum [27]4 years ago

5 0

Answer:

Step-by-step explanation:

(6x + 2) + 40 = 90 because the entire angle is a right angle, therefore the whole angle is 90

subtract 40 from each side: 6x + 2 = 50

now subtract 2 from each side: 6x = 48

now divide 6 from each side: x = 8

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3 years ago

Todd's team starts a football game. On the first play, they gain 6 yards. On the second play, they lose 12 yards. The expression

Natasha2012 [34]

-6 yards

Step-by-step explanation:

6-12 = -6 yards

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3 0

3 years ago

Which one of the following graphs is the graph of:3if -2 < x < 01if x = 0if 0 < x≤ 2f(x) =A.44B.4-²-(x + 1)?

In-s [12.5K]

Given the piecewise function:

$f(x)=\begin{cases}{3\text{ if -2}\leq x$

Let's select the graph which represents the function.

We have the graph below:

For f(x) = 3, the graph will be a horizontal line on y = 3 which has an open dot on x = 0 and a closed dot on x = -2

For f(x) = 1 if x = 0, the graph will have a closed dot located on the point (0, 1)

For f(x) = -(x + 1) if 0 < x ≤2, the graph will have a negative slope with an open dot on (0, -1) and closed dot on (2, -3)

ANSWER:

Graph B

8 0

1 year ago

What’s the correct answer for this question?

podryga [215]

Answer:

Step-by-step explanation:

Circle with centre (0,2) will have the equation

(x)²+(y-2)² = r²

Finding r² by distance formula using P(-7,2)

r² = (-7-0)²+(2-2)²

r² = (-7)²

r² = 49

So substituting in the equation

x²+(y-2)² = 49

8 0

3 years ago

The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re

PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic clarithromycin is eliminated from the body according to the formula:

$A(t) = 500e^{-0.1386t}$ ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

$100= 500e^{-0.1386t}$

Divide both sides by 500 we get;

$\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}$

Simplify:

$\frac{1}{5} = e^{-0.1386t}$

Taking logarithm both sides with base e, then we have;

$\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})$

$\log_e (\frac{1}{5})=-0.1386t$ [ Using $\log_e e^a =a$ ]

$\log_e (0.2)=-0.1386t$

$-1.6094379124341 = -0.1386t$

[using value of $\log_e (0.2) = -1.6094379124341$ ]

then;

$t = \frac{-1.6094379124341}{-0.1386}$

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams

6 0

3 years ago