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Gala2k [10]
3 years ago
11

Which of the following represents the range of the graph of F(x) below

Mathematics
1 answer:
saul85 [17]3 years ago
8 0
I guess all real numbers
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Ten less than 5 times the value of a number is equal to 10 times the quantity of
grandymaker [24]

Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

5 0
3 years ago
Susie is thinking about changing her auto insurance policy at Fret-No-More Auto Insurance. Her current policy includes the follo
elena55 [62]
From her current policy which includes the $50/100,000 limit for bodily injury, $25,000 limit for property change, $250 deductible for collision, and $50 deductible for comprehensive. To increase Susie’s limits the most without increasing her monthly premium by more than $5.00 she should: 

Increase coverage on bodily injury to $100/300,000 and on property damage to $50,000.


<span>I hope this helps, Regards.</span>
5 0
3 years ago
Read 2 more answers
I really need the answers for these I don't understand this
Yuri [45]
I tryed my best to figure out what all of the numbers were. if i got any wrong then please tell me and i will put the right answer in the comments.

1) 3/5= 5/x   (cross multiply)
     3x=5(5)
     3x=25
       x= 25/3 -or- 8.33

2) 2/4=x/12<span>   (cross multiply</span><span>)
</span> 2(12)=4x
     24=4x
       6=x
3) 10/x=5/9<span>   (cross multiply</span><span>)
   10(9)=5x
       90=5x
       18=x
4) 5/5=x/18</span><span>   (cross multiply</span><span>)
 5(18)=18x
     90=18x
       5=x</span>
8 0
3 years ago
Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s a
Nimfa-mama [501]

Answer:

Step-by-step explanation:

When Riko left his house, Yuto was 5.25 miles along the path.

Average speed of Riko = 0.35 miles per minute

Average speed of Yuto = 0.25 miles per minute

First we will calculate the time in which Riko will catch Yuto on the track.

Relative velocity of Riko as compared to Yuto will be = velocity of Riko - velocity of Yuto

= 0.35 - 0.25

= 0.10 miles per minute

Now we this relative velocity tells that Riko is moving and Yuto is in static position.

By the formula,

Average speed = \frac{Distance}{Time}

0.10 = \frac{5.25}{t}

t = \frac{5.25}{0.1}

t = 52.5 minutes

Now we know that Rico will catch Yuto in 52.5 minutes. Before this time he will be behind Yuto.

So duration of time in which Rico is behind Yuto will be 0 ≤ t ≤ 52.5

Here time can not be less than zero because time can not be with negative notation. It will always start from 0.

3 0
3 years ago
Read 2 more answers
In your own words, explain how to find the incenter and the circumcenter of a triangle and what the Circumcenter Theorem and Inc
LekaFEV [45]

Circumcenter is where three perpendicular bisectors intersect and incenter is where the three angle bisectors intersect.

Way to find them and the theorems are mentioned below.

Step-by-step explanation:

To find Incenter :

Construct angle bisectors of each angle of the triangle and their intersection  point gives the incenter.

To find Circumcenter:

Construct perpendicular bisectors of all sides of triangle and their intersection point gives the circumcenter.

Circumcenter Theorem: It states that the vertices of a triangle are equidistant from the circumcenter.

Incenter Theorem: It states that the incenter is equidistant from the sides of the triangle.

5 0
3 years ago
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