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3 years ago

Select all input values for which g(x)=8

Mathematics

1 answer:

Naily [24]3 years ago

8 0

Answer:

a. x = -4

c. x = 9

Step-by-step explanation:

Values of g(x), output values, are plotted on the y-axis, while the corresponding x values, input, of the function are plotted on the x-axis.

We are to determine all possible input values (x-values) that will give us an output value, g(x) = 8.

On the graph, look at the point where y = 8, on the y-axis. When y = 8, we have two possible values of x. They are -4, and 9.

Thus:

g(-4) = 8

g(9) = 8.

The possible input values for which g(x) = 8, are x = -4, and x = 9.

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The total number of? restaurant-purchased meals that the average person will eat in a? restaurant, in a? car, or at home in a ye

zmey [24]

Answer:

The number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

Step-by-step explanation:

Suppose, the number of meals eaten in a restaurant is $x$ , in a car is $y$ and at home is $z$

The total number of meals eaten in a restaurant, in a car or at home is given as 163. So, the first equation will be......

$x+y+z=163 .............................(1)$

The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. So, the second equation will be......

$y+z=x+13 ................................(2)$

Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. So, the third equation will be......

$x= z+20..................................(3)$

First, substituting equation (2) into equation (1), we will get........

$x+(x+13)=163\\ \\ \Rightarrow 2x+13=163\\ \\ \Rightarrow 2x=163-13=150\\ \\ \Rightarrow x=\frac{150}{2}=75$

Now plugging this $x=75$ into equation (3), we will get......

$75=z+20\\ \\ \Rightarrow z=75-20= 55$

Plugging $x=75$ and $z=55$ into equation (1) .........

$75+y+55=163\\ \\ \Rightarrow y+130=163\\ \\ \Rightarrow y=163-130=33$

So, the number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

8 0

3 years ago

HEEEEELLLLPPPP

Karolina [17]

Answer:

Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.

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3 0

3 years ago

A chemist whishes to prepare 100 liters of 45% purity of sulphuric acid .He has two kinds of acid solutions in stock ,one is 55%

tester [92]

Answer:

the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

Step-by-step explanation:

From the given information,

Let x be the litres of 55% pure solution

Let y be the litres of 30% pure solution

Also;

Given that our total volume of solution is 100 litres

x+y =100 ---- (1)

The total solution of pure by related by the sum of the individual pure concentrations to make up the concentration of final solution.

(0.55)(x)+(0.30)(y) = 0.45(100) ---- (2)

From equation (1)

Let ; y = 100 - x

Replacing the value for y = 100 - x into equation (2)

(0.55)(x)+(0.30)(100-x) = 0.45(100)

0.55x + 30 - 0.30x = 45

0.55x - 0.30x = 45 - 30

0.25x = 15

x = 15/0.25

x = 60 liters of 55% solution

From ; y = 100 - x

y = 100 - 60

y = 40 litres of 30% solution.

Therefore, the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

7 0

3 years ago

Which situation could be represented by the open sentence 15 - 5 = p?

True [87]

Answer:

Option B.

Step-by-step explanation:

We need to find the situation that could be represented by the sentence 15-5=P.

Option A:

Stuart is reading a book that has a total of 15 chapters. He reads 5 chapters every day. How many days will it take Stuart to finish the book?

Let the number of days be d.

$15-5d=0$

Option B:

Stuart is reading a book that has a total of 15 chapters. He has already read 5 chapters. How many chapters of the book are left for Stuart to read?

Let the number of remaining chapters be p.

$15-5=p$

Option C:

Stuart is reading a book that has a total of 15 chapters. This book has 5 chapters less than the book Stuart read last week. How many chapters were in the book Stuart read last week?

Let the number of chapters in the book Stuart read last week be n.

$n-5=15\Rightaarow n=15+5$

Option D:

Stuart is reading a book that has a total of 15 chapters. This is 5 times the number of chapters as the book Stuart read last week. How many chapters were in the book Stuart read last week?

Let the number of chapters in the book Stuart read last week be n.

$15=5n$

Therefore. the correct option is B.

5 0

3 years ago

You estimate that 38 people attended your party. The actual attendence was 50 people.

nika2105 [10]

Answer:

24% error

Step-by-step explanation:

Vobserved - Vtrue

-------------------------------

Vtrue

38 - 50

---------------

-12

-------------

= -24%

= 24% error

3 0

3 years ago