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3 years ago

Will mark brainliest

Mathematics

1 answer:

Lerok [7]3 years ago

3 0

Answer:

Step-by-step explanation:

We know she gets 4 more quarters so: q+4

She gives away 3 dime so: d-3

And the nickels stay the same: n

In total the expression would be: q+4+d-3+n

Hope this helps :D

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(08.07 HC)

katovenus [111]

Answer:

Below in bold.

Step-by-step explanation:

Part A

At the x-intercepts f(x) = 0, therefore:

2x^2 - 3x - 5 = 0

(2x - 5)(x + 1) = 0

x = 5/2, -1)

So the x intercepts are (-1, 0) and (5/2, 0).

Part B

The Coefficient of x^2 is positive ( it is 2) So the graph opens upwards and the vertex will be a minimum.

Convert f(x) to vertex form, by completing the square:

f(x) = 2x^2 - 3x - 5

= 2(x^2 - 3/2x) - 5

= 2[(x - 3/4)^2 - 9/16] - 5

= 2(x - 3/4)^2 -18/16 - 80/16

= 2(x - 3/4)^2 - 49/8

So the coordinates of the vertex are

(3/4, -49/8) or

(0.75, -6.125) in decimal form.

Part C

To graph f(x) you would first mark the points on the x axis which we found in Part 1 and the vertex found in Part 2. This vertex will be the bottom of the 'U'.

The graph is a parabola shaped roughly like a U, and will be symmetrical about the line x = 0.75 (which passes through the vertex).

You would also plot 2 more points above the x axis so as to get an accurate graph. 1 would be to the left of the line of symmetry and 1 to its right.

Suggest x = - 2 and calculate f(-2) = 2(-2)^2 - 3(-2) - 5 = 11.

- that is the point (-2,11) and the other would be x = 4, f(x) = 15. (4, 15)

Once you have plotted these points draw a smooth u shaped curve through them.

3 0

2 years ago

Question Help

klasskru [66]

Answer:

16 times

Step-by-step explanation:

$\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

If only the radius is changed, the change in volume will be proportionate to the multiplicative factor squared.

$\sf \implies Volume =\dfrac{1}{3} \pi (ar)^2h=\dfrac{1}{3} \pi (a^2)r^2h$

Therefore, if the cone is quadrupled (multiplied by 4), the volume of the larger cone will be 4² times greater than the volume of the smaller cone, so 16 times greater than the smaller cone.

<h3>Proof</h3>

Given:

radius = 6
height = 9

Substituting the given values into the formula:

$\sf \implies Volume =\dfrac{1}{3} \pi (6)^2(9)=108 \pi \: \:cubic\:units$

If the radius is quadrupled:

radius = 6 × 4 = 24
height = 9

Substituting the new given values into the formula:

$\sf \implies Volume =\dfrac{1}{3} \pi (24)^2(9)=1728 \pi \: \:cubic\:units$

To find the number of times greater the volume of the large cone is than the volume of the smaller cone, divide their volumes:

$\sf \implies \dfrac{V_{large}}{V_{small}}=\dfrac{1728\pi}{108\pi}=16$

So the volume of the larger cone is 16 times greater than the volume of the smaller cone.

4 0

2 years ago

Read 2 more answers

What are the roots of 2x^2+10×-48=0

mojhsa [17]

X=-8,3.
divide all terms by the two in the first term to get x^2+5x-24=0. Then find the factors. To do so, find what two numbers can be multiplied to get 24, and whether those two numbers can be added or subtracted to get the middle term (5). Since 8x(-3)=24 and 8-3=5, (x+8) and (x-3) are the factors. Then set the factors equal to zero. Add or subtract these numbers to the other side of the equation and you then get x=-8,3. These are the roots.

8 0

3 years ago

The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, t

slavikrds [6]

The percent increase is 19.9%

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3 years ago

Find y. Do not round your answer. 9 in у 5 in Х 19 in y = [ ? ] in =

Verizon [17]

Answer:

33y

Step-by-step explanation:

step 1. 9y+5y+9y=33y

7 0

2 years ago