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3 years ago

The table represents the function f (x) = 3x-1

Mathematics

1 answer:

Ann [662]3 years ago

8 0

Answer:

a=-16, b=11, c=23

Step-by-step explanation:

The function whose table is drawn is

$f(x) = 3x - 1$

To find the value of a, we substitute x=-5.

$f( - 5) = 3( - 5) - 1 \\ f( - 5) = - 15 - 1 \\ f( - 5) = - 16$

$\therefore \: a = - 16$

To find the value of b, we substitute x=4.

$f(4) =3(4) - 1 \\ f(4) = 12 - 1 \\ f(4) = 11$

To find the value of c, we substitute x=8,

$f(8) = 3(8) - 1 \\ f(8) = 24 - 1 \\ f(8) = 23$

$c = 23$

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Solve for W

umka2103 [35]

In this equation w = -1.1

In order to find this, get all w values to the right side and all numbers to the left side.

-2.27 + 9.1w + 1.3w = -3.4w - 17.45 ----> combine like terms

-2.27 + 10.4w = -3.4w - 17.45 ----> add 3.4w to both sides

-2.27 + 13.8w = -17.45 ----> add 2.27 to both sides

13.8w = -15.18 -----> divide both sides by 13.8

w = -1.1

4 0

3 years ago

Read 2 more answers

Finley’s pumpkin had a mass of 6.5 kilograms before he carved it. After carving it the pumpkin had a mass of 3.9 kilograms. What

katen-ka-za [31]

Hello.

The percent decrease in the mass of the pumpkin for this case will be given by:
(100 - (3.9 / 6.5) * 100) =
(100-60) =40%

After carving it, the pumpkin decreases a percent of 40% in the mass.

Have a nice day

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3 years ago

Read 2 more answers

The following are questions from a self-quiz.According to some study, the height for Northern European adult males is normally d

lara [203]

Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(person is between 160 and 170 centimeters)

$P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%$

b) P(person is higher than 190 centimeter)

P(x > 190)

$P( x > 190) = P( z > \displaystyle\frac{190 - 181}{7.3}) = P(z > 1.2328)$

$= 1 - P(z \leq 1.2328)$

Calculation the value from standard normal z table, we have,

$P(x > 190) = 1 - 0.891 = 0.109 = 10.9\%$

7 0

3 years ago

A boat travels 30 miles up the river in the same amount of time it takes to travel 38 miles down the same river. If the current

Ksenya-84 [330]

X miles per hour - <span> speed of the boat in still water
(x - 2) - speed up the river
(x + 2) - speed down the river
</span>
$\frac{30}{x - 2}$ = $\frac{38}{x + 2}$
30 * (x + 2) = 38 * (x - 2)
30x + 60 = 38x - 76
- 8x = - 136
x = 17 miles per hour - <span>the speed of the boat in still water.</span>

5 0

3 years ago

Find the measure of unknown angle

inna [77]

Answer:

a = 85° , b = 30° , c = 65°

Step-by-step explanation:

∠ a and 85° are alternate angles and are congruent , so

a = 85°

∠ c and 65° are alternate angles and are congruent , so

c = 65°

a, b and c lie on a straight line and sum to 180° , that is

a + b + c = 180°

85° + b + 65° = 180°

150° + b = 180° ( subtract 150° from both sides )

b = 30°

8 0

2 years ago