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Morgarella [4.7K]
3 years ago
10

This was given to me during a summative test and the teacher didn't bother giving me the correction. I just cannot figure it out

Mathematics
2 answers:
yuradex [85]3 years ago
8 0

Step-by-step explanation

Dmitry [639]3 years ago
7 0
  • Base be y

ATQ

\\ \sf\longmapsto xy=6050\dots 1

\\ \sf\longmapsto 2(x+y)=220\implies x+y=110\dots 2

Now

\\ \sf\longmapsto (x+y)^2=x^2+y^2+2xy

\\ \sf\longmapsto 110^2-2(6050)=x^2+y^2

\\ \sf\longmapsto 12100-12100=x^2+y^2

\\ \sf\longmapsto x^2+y^2=0\dots(3)

From all equations

\\ \sf\longmapsto (x-y)^2=x^2+y^2-2xy

\\ \sf\longmapsto (x-y)^2=0-2(6050)

\\ \sf\longmapsto (x-y)^2=-12100

\\ \sf\longmapsto (x-y)=110\dots(4)

Now

Adding 3 and 4

\\ \sf\longmapsto 2x=220

\\ \sf\longmapsto x=110m

One side won't be covered hence

  • y=2(110)=220m
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F(x) = x2 + 1<br> What is f(f(x))?<br> O x + 2x²+1<br> O x + 2x²+2<br> x + 2<br> x+1
nadya68 [22]

Answer:

It's x^4+2x^2+2

Step-by-step explanation:

The argument of f(f(x)) function becomes x^2+1-> F=(x^2+1)^2+1 Opening the brackets you get my answer. Not sure if O sign stood for ^4.

5 0
4 years ago
Tiffany deposited two checks into her bank account this month.
Dmitry [639]

so we know the tiffany added 50 and 22 in her account and  we know her balance is 306 so to find out how much she earned we have to calculate how much she earned in this case

balance

306-22

306

- 22

_______

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-   50

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so 234 is our answer and we can check our and by seeing if it calculates to

306

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+ 50

2 8 4

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7 0
3 years ago
A recent newspaper article reported on​ American's eating habits. The article reported that only about one third of American adu
Svet_ta [14]

Answer:

a)

Step-by-step explanation:

The article reported that only 26% of american adults ate 3 or more servings of vegetables per day. We don't know if the subjects were asked how many servings per day they consume (in this case the variable would be quantitative since they would answer with a number) or if they were asked if they ate 3 or more servings per day (in this case the variable would be categorical since they would answer with a yes or no)

4 0
3 years ago
How much of a spice that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5%
Sav [38]

Answer:

Let x represents the ounces of first spice.

From the given statements, you draw a table as shown below:

                           ounces of spice         Percentage           ounces of salt

First spice                 x                              3%                            0.03x

Second spice           175                            6%                          175(0.06)

Final  mixture          x+ 175                         5%                        (x+175)(0.05)

Now, to solve for x;

Final spice = First spice + second spice

0.03x+175(0.06) = (x+175)(0.05)

0.03x + 10.5 = 0.05x + 8.75

Subtract 10.5 on both sides we have;

0.03x + 10.5 -10.5= 0.05x + 8.75-10.5

Simplify:

0.03x= 0.05x -1.75

Subtract 0.05x on both sides;

0.03x - 0.05x= 0.05x -1.75-0.05x

Simplify:

-0.02x= -1.75

Divide both sides by -0.02, we get;

x = 87.5 ounces

Therefore, 87.5 ounces of spices i.e 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt



4 0
3 years ago
The tallest television transmitting tower in the world is in North Dakota. From a point on level ground 5280 feet​ (one mile) fr
scoundrel [369]

Answer:

2975 foot

Step-by-step explanation:

Let the tower be BC as shown in the diagram.

The distance from a point A on the level ground to the base B of the tower is 5280 feet.

We want to determine the height BC of the tower.

Using trigonometry

Tan θ =Opposite/Adjacent

Tan 29.4°=BC/5280

BC= 5280 X Tan 29.4°

=2975.12709969007

The height of the tower =2975 foot(to the nearest foot)

8 0
3 years ago
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