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3 years ago

Tons of points

Mathematics

1 answer:

VladimirAG [237]3 years ago

3 0

Answer:

The common difference is -1/2

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and is called the common difference

we have

a1=2/3

a2=1/6

a3=-1/3

a4=-5/6

a2-a1=1/6-2/3=-1/2

a3-a2=-1/3-1/6=-1/2

a4-a3=-5/6-(-1/3)=-5/6+1/3=-1/2

therefore

The common difference is -1/2

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Which of the following functions has a range of f(x) ≥ 2?

zvonat [6]

Answer: the answer is B.

Step-by-step explanation:

7 0

3 years ago

: Logan is driving a boat that has a speed of 18 mph in standing water (no current). She drives the boat up and down a river to

nadya68 [22]

Answer: the speed of the current is 6 mph

Step-by-step explanation:

Let x represent the speed of the current.

Logan is driving a boat that has a speed of 18 mph in standing water.

Assuming the current slowed down the boat while she was going up(upstream), it means that his total speed was (18 - x) mph

Also, if the current helped the boat while she was going down(downstream), it means that his total speed was (18 + x) mph

Time = distance/speed

The boat travels 4 miles each way. The time taken to travel upstream is

4/(18 - x)

Time taken to travel downstream is

4/(18 + x)

The round trip took 0.5 hour. It means that

4/(18 - x) + 4/(18 + x) = 0.5

Multiplying through by (18 - x)(18 + x), it becomes

4/(18 - x) + 4/(18 + x) = 0.5(18 - x)(18 + x)

4(18 + x) + 4(18 - x) = 0.5(18 - x)(18 + x)

72 + 4x + 72 - 4x = 0.5(324 + 18x -

18x - x²)

144 = 0.5(324 - x²)

144 = 162 - 0.5x²

0.5x² = 162 - 144

0.5x² = 18

x² = 18/0.5 = 36

x = √36

x = 6

8 0

3 years ago

What is an equation of the line that passes through the points (0,7) and (5,4? Put your answer in fully reduced form.

gregori [183]

Answer (assuming it can be in slope-intercept format):

$y = -\frac{3}{5} x+7$

Step-by-step explanation:

When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or $y = mx + b$ .

1) First, find the slope of the equation. Use the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ , to find the slope. Substitute the x and y values of the given points into the formula and simplify:

$m = \frac{(4)-(7)}{(5)-(0)} \\m = \frac{4-7}{5-0} \\m = \frac{-3}{5}$

Thus, the slope is $-\frac{3}{5}$ .

2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation $y = mx + b$ . Substitute $m$ and $b$ for real values.

Since $m$ represents the slope, substitute $-\frac{3}{5}$ in its place in the equation. Since $b$ represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:

$y = -\frac{3}{5} x+7$

4 0

3 years ago

Pls help its was on khan academy i will mark u brainiest!!!

Phantasy [73]

Answer:

$14 units$

Step-by-step explanation:

$Solution:-$

$A(5,1)B(7,1)$

$\sqrt{(x_{1}-x_{2} ) ^{2}(y_{2} -y_{1}x^{2} }$

$AB=\sqrt{(7-5)^{2} +(1-1)^{2} }$

$= \sqrt{2^{2} } =2$

$BC=\sqrt{7-7^{2}+(6-1)^{2} }$

$=\sqrt{5^{2} } =5$

$perimeter=2(AB)+2(BC)$

$= 2(2)+2(5)\\$

$= 4+10= 14$

$-----------$

hope it helps...

have a great day!!

6 0

3 years ago

Arturo's family hires 3 painters. Each painter charges $50 per hour. Arturo's family represents the charge for x hours of painti

PIT_PIT [208]

Answer:

Step-by-step explanation:

So if Arturo's family hires 3 painters for $50 an hour each, how much do they spend?

X= Charge for number of number of hours

Now let's say that each of the painters worked only one hour each.

That would be take a long time to add up so you multiply.

$50 x 3

In other words it's $50 + $50 + $50.

$50 x 3 = $150

Now X stands for the amount of money paid to each artist. In this case, X= $50. So we already figured out X. X is $50. It is a mistake to add the X at the end of the answer because X is already there in a numerical form. So the answer is D, $150.

5 0

4 years ago

Read 2 more answers