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2 years ago

1.

Mathematics

2 answers:

I am Lyosha [343]2 years ago

7 0

Answer: Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

Step-by-step explanation:

A conditional statement is written as "if p then q" , where symbol 'p' represents the hypothesis and symbol 'q' represents the conclusion.

For example : If <u>a coin has two heads</u> , then the <u>coin is biased</u>.

here , Hypothesis : a coin has two heads

Conclusion : coin is biased

Given conditional statement : If <u>two lines intersect at right angles</u>, then <u>the two lines are perpendicular</u>.

Here, Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

photoshop1234 [79]2 years ago

3 0

it is the second one

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3. The cost(P) in Ghana Ghana Cedis, of producing n items is given by the formula, P=3/4n + 1800. a. Find the cost of producing

ArbitrLikvidat [17]

Answer:

3300 Ghana cedis

Step-by-step explanation:

There are 2000 items, so n = 2000

P = 3/4 * 2000 + 1800 = 1500 + 1800 = 3300 Ghana cedis

6 0

2 years ago

Evaluate the function f (x)= x squared -4x+1 at the given values of the independent variable and simplify.

Ivan

<h3>Given</h3>

... f(x) = x² -4x +1

... a) f(-8)

... b) f(x+9)

... c) f(-x)

<h3>Solution</h3>

In each case, put the function argument where x is, then simplify.

a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97

b) f(x+9) = (x+9)² -4(x+9) +1

... = x² +18x +81 -4x -36 +1

... f(x+9) = x² +14x +46

c) f(-x) = (-x)² -4(-x) +1

... f(-x) = x² +4x +1

8 0

2 years ago

The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

$T_5 = 160$

$T_7 = 40$

Required

$T_6$

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

$\frac{T_7}{T_5} = \frac{40}{160}$

Divide the numerator and the denominator of the fraction by 40

$\frac{T_7}{T_5} = \frac{1}{4}$ ----- equation 1

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Where n is the nth term

So,

$T_7 = a r^{6}$

$T_5 = a r^{4}$

Substitute the above expression in equation 1

$\frac{T_7}{T_5} = \frac{1}{4}$ becomes

$\frac{ar^6}{ar^4} = \frac{1}{4}$

$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

Next, is to solve for the first term;

Using $T_5 = a r^{4}$

By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

We get

$160 = a \frac{1}{2}^{4}$

$160 = a \frac{1}{16}$

Multiply through by 16

$16 * 160 = a \frac{1}{16} * 16$

$16 * 160 = a$

$2560 = a$

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

$T_6 = a r^5$

$T_6 = 2560 r^5$

r = ± $\frac{1}{2}$

So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

8 0

2 years ago

Show steps to solve 3x-18=0

ANEK [815]

Answer:

x = 0

Step-by-step explanation:

3x - 18 = 0 Add 18 to both sides

3x = 0 Divide both sides by 3

x = 0

8 0

2 years ago

A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?

Leno4ka [110]

The answer is A : y=-1/5x+1 ..... I checked on desmos

4 0

2 years ago