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3 years ago

(−3)(a+x), if a=8, x=−10

Mathematics

2 answers:

Alja [10]3 years ago

8 0

Answer:

Step-by-step explanation:

<h2><u>finding the answer from an equation </u></h2>

replace the values of x and a in the equation:

(-3) * ( 8 + -10)

= (-3) * (-2)

<h3><u>recall :</u></h3>

(-) * (-) = +

hence -3 * -2

=<u> 6</u>

skad [1K]3 years ago

6 0

Answer:

Step-by-step explanation:

When you substitute the equation with the values and simplify you get:

(-3)(8-10)

(-3)(-2)

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If f(x)=7-3x and g(x)=3x-7, what is the value of f(1)-g(1)?

postnew [5]

Substitute 1 for x in each of your equations.

f(x)=7-3x
which is
f(1)=7-3(1)
=3
Do the same for g(x)
g(x)=3x-7
which is
g(1)=3(1)-7
=-4

Then subtract g(x) from f(x):
3-(-4)
=7

:)

6 0

3 years ago

The sales tax on a 15,000 car is 540. at this rate what is the tax on a 32,000 car

maria [59]

Note : Since unit of currency is not defined, I'll be using units.

Sales tax on a 15000 units car = 540 units
540 = 15000 × tax% / 100
=> 540 = 15000 × tax% / 100
=> 540/15000 = tax% / 100
=> tax% = (540/15000) × 100
=> tax% = 540/140
=> tax% = 3.6

now,
sales tax on a 32000 units car = 32000 × tax%/100
= 32000 × 3.6/100
= 320 × 3.6
= 1152 units
therefore sales tax on a 32000 units car = 1152 units

4 0

3 years ago

a scientist notes that the number of bacteria in a colony is 50.3 hours later, she notes that the number of bacteria has increas

sergejj [24]

It will take 5.83 hours for the bacteria to reach 1119.

<h3>What is exponential Growth ?</h3>

Exponential growth is when the quantity increases according to the function

$P_t = P_0 e^{ kt}$

It is given in the question that

Initial number of Bacteria is 50

After 3 hours the bacteria has increased to 80

The bacterial growth is an exponential growth

$P_t = P_0 e^{ kt}$

$80 = 50 e^{ k * 3}$

Applying log on both sides

1.6 = 3*k

k = 1.6/3

k = 0.533

if this rate of growth continues, how much more time will it take for the number of bacteria to reach 1119

$1119 = 50e^{0.533* t}\\\\3.18 = 0.533 *t\\\\5.83 = t$

Therefore it will take 5.83 hours for the bacteria to reach 1119.

To know more about exponential growth.

brainly.com/question/11487261

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6 0

2 years ago

Read 2 more answers

Write the equation of a line that is parallel to y=1/2x−4y and that passes through the point (9,−6)

lara [203]

Answer:

the desired equation is

y = (1/2)x - 21/2

Step-by-step explanation:

Looks as tho' you may have typed in an extra 'y' here. I will proceed under the assumption that you meant y = (1/2)x - 4. This line has a slope of 1/2.

Any line parallel to it also has a slope of m = 1/2.

Start by replacing y, x, m and b in y = mx + b with the knowns:

y = mx + b becomes -6 = (1/2)(9) + b.

Clear this of fractions by multiplying all 3 terms by 2:

-12 = 9 + 2b, or:

-21 = 2b. Dividing both sides by 2 results in b = -21/2.

Thus, the desired equation is

y = (1/2)x - 21/2

8 0

3 years ago

A commercial airplane that is 1,500 miles into a 2,500-mile journey is traveling at 450 knots in still air when it picks up a ta

Alina [70]

The equation that best describes the situation is A. 1,500 + 690h = 2,500

<h3 /><h3>Speed of plane after tailwind</h3>

Since the plane has already covered 1500 miles, and the plane travelling at 450 knots in still air picks up at tailwind of 150 knots in the same direction, the resultant velocity, V of the plane = speed of plane in still air + speed of wind

= 450 knots + 150 knots

= 600 knots

= 600 × 1 knot

= 600 × 1.15 mph

= 690 mph.

<h3 /><h3>Distance of plane after tailwind</h3>

If h is the number of hours after picking up the tail wind, the distance moved by the airplane is thus D = 1500 + 690h

<h3 /><h3>Required equation</h3>

Since D = 2500 miles, we have

1500 + 690h = 2500.

So, the equation that best describes the situation is A. 1,500 + 690h = 2,500

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5 0

3 years ago