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xxMikexx [17]
3 years ago
7

Find the domain of each rational expression. f(x)=5x-7/4

Mathematics
2 answers:
Aloiza [94]3 years ago
7 0
 f(x)=5x-\frac{7}{4}

The function is defined for all real numbers x

 D=R



Natasha2012 [34]3 years ago
6 0
1)\ \ \ f(x)=5x- \frac{7}{4} \ \ \ \Rightarrow\ \ \ D_f=R\\\\2)\ \ \ f(x)= \frac{5x-7}{4}  \ \ \ \Rightarrow\ \ \ D_f=R
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Jeff feeds the family dog on Wednesdays and his sister Melody feeds the dog on Fridays. On Wednesday, Jeff gave the dog 5/8 of a
Tasya [4]
8 x 5/8 = The ounces fed by Jeff
You need to convert 1/2 with the denominator of 8 with would be 4/8
8 x 4/8 = The ounces fed by Melody
HOPE THIS HELPS!!
4 0
3 years ago
Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final t
dmitriy555 [2]

Answer:

1. Find the difference between the areas.

<u>Area of the small rectangle</u>: (x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14

<u>Area of the big rectangle</u>: (x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99

The difference is: 11x+85

( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

f(d)=h=-2d^2+7d+4

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

f(0)=h=-2(0)^2+7(0)+4

h=4

The height is 4 meters.

b) 9 meters.

For d=1

f(1)=h=-2(1)^2+7(1)+4

f(1)=h=-2+7+4

h=9

b) The ball travels 4 meters.

But to calculate it, it is when h=0

0=-2d^2+7d+4

Using the quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$

$d=\frac{-7\pm\sqrt{81}}{-4}$

$d=\frac{-7\pm9}{-4}$

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

V=\pi r^2h

V=\pi (2.5)^2 \cdot 5

V=31.25 \pi

V_{c} \approx 98.17 \text{ m}^3

The volume of the sphere:

$V=\frac{4}{3}  \pi r^2$

V_{s} \approx 65.4 \text{ m}^3

The volume of the capsule is approximately 163.57  \text{ m}^3

3 0
3 years ago
Raven is making pillows. Each pillow requires 3/5 yard of fabric. Raven has 6 yards of fabric. Use the number line to find 6 ÷ 3
katen-ka-za [31]

Answer:

6 divided by 3/5 is 10

Step-by-step explanation:

I don't know how to do the number line, sorry.

6 0
3 years ago
Whoever responds first will get marked best!!!!!The Garcia family is driving from 3,272 miles from San Diego, CA ot Bar Harbor,
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Answer:

8

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Now the distance left is 3272-2045=1227 miles.

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So, the total time taken for travel will be= 5+3=8 days

I guess this is the way to do it.

8 0
2 years ago
Read 2 more answers
A pole that is 3.1m tall casts a shadow that is 1.29m long. At the same time, a nearby building casts a shadow that is 44.75m lo
Mkey [24]
Let b=height of building.   By similar triangles we can say:

b/44.75=3.1/1.29

b=44.75*3.1/1.29

b≈107.54

b≈108 meters  (to the nearest whole meter)
8 0
3 years ago
Read 2 more answers
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