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3 years ago

What type of number is 15/10

Mathematics

2 answers:

larisa [96]3 years ago

8 0

Answer:

An improper fraction

Step-by-step explanation:

15/10 is 1 and 1/2, but it's a bigger number over a smaller number.

zlopas [31]3 years ago

7 0

Answer:

Rational Number.

Step-by-step explanation:

It is a rational number because it is written as a/b where a and b are integers.

This one can simplify to 3/2.

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Match the parabolas represented by the equations with their foci.

Elenna [48]

Function 1 $f(x)=- x^{2} +4x+8$

First step: Finding when $f(x)$ is minimum/maximum
The function has a negative value $x^{2}$ hence the $f(x)$ has a maximum value which happens when $x=- \frac{b}{2a}=- \frac{4}{(2)(1)}=2$ . The foci of this parabola lies on $x=2$ .

Second step: Find the value of y-coordinate by substituting $x=2$ into $f(x)$ which give $y=- (2)^{2} +4(2)+8=12$

Third step: Find the distance of the foci from the y-coordinate
$y=- x^{2} +4x+8$ - Multiply all term by -1 to get a positive $x^{2}$
$-y= x^{2} -4x-8$ - then manipulate the constant of y to get a multiply of 4
$4(- \frac{1}{4})y= x^{2} -4x-8$
So the distance of focus is 0.25 to the south of y-coordinates of the maximum, which is $12- \frac{1}{4}=11.75$

Hence the coordinate of the foci is (2, 11.75)

Function 2: $f(x)= 2x^{2}+16x+18$

The function has a positive $x^{2}$ so it has a minimum

First step - $x=- \frac{b}{2a}=- \frac{16}{(2)(2)}=-4$
Second step - $y=2(-4)^{2}+16(-4)+18=-14$
Third step - Manipulating $f(x)$ to leave $x^{2}$ with constant of 1
$y=2 x^{2} +16x+18$ - Divide all terms by 2
$\frac{1}{2}y= x^{2} +8x+9$ - Manipulate the constant of y to get a multiply of 4
$4( \frac{1}{8}y= x^{2} +8x+9$

So the distance of focus from y-coordinate is $\frac{1}{8}$ to the north of $y=-14$
Hence the coordinate of foci is (-4, -14+0.125) = (-4, -13.875)

Function 3: $f(x)=-2 x^{2} +5x+14$

First step: the function's maximum value happens when $x=- \frac{b}{2a}=- \frac{5}{(-2)(2)}= \frac{5}{4}=1.25$
Second step: $y=-2(1.25)^{2}+5(1.25)+14=17.125$
Third step: Manipulating $f(x)$
$y=-2 x^{2} +5x+14$ - Divide all terms by -2
$-2y= x^{2} -2.5x-7$ - Manipulate coefficient of y to get a multiply of 4
$4(- \frac{1}{8})y= x^{2} -2.5x-7$
So the distance of the foci from the y-coordinate is - $\frac{1}{8}$ south to y-coordinate

Hence the coordinate of foci is (1.25, 17)

Function 4: following the steps above, the maximum value is when $x=8.5$ and $y=79.25$ . The distance from y-coordinate is 0.25 to the south of y-coordinate, hence the coordinate of foci is (8.5, 79.25-0.25)=(8.5,79)

Function 5: the minimum value of the function is when $x=-2.75$ and $y=-10.125$ . Manipulating coefficient of y, the distance of foci from y-coordinate is $\frac{1}{8}$ to the north. Hence the coordinate of the foci is (-2.75, -10.125+0.125)=(-2.75, -10)

Function 6: The maximum value happens when $x=1.5$ and $y=9.5$ . The distance of the foci from the y-coordinate is $\frac{1}{8}$ to the south. Hence the coordinate of foci is (1.5, 9.5-0.125)=(1.5, 9.375)

8 0

3 years ago

Eric's chocolate bar is 56% cocoa. If the weight of the chocolate bar is 78 grams, how many grams of cocoa does it contain? Roun

alexgriva [62]

Answer:

The answer to your question is 43.7 g of chocolate

Step-by-step explanation:

Data

56% cocoa

mass of a chocolate bar = 78 g

Process

To solve this problem, use proportions and cross multiplication, consider the mass of the bar is 100%.

78 g of chocolate ------------------- 100%

x ------------------ 56%

x = (56 x 78) / 100

x = 4368/100

x = 43.68 g

-Round to the nearest tenth

Mass of the chocolate = 43.7 g

8 0

3 years ago

Please help me please it is hard

Arturiano [62]

Which one first show me your problem

3 0

3 years ago

Read 2 more answers

(Will give brainliest to correct answer)

AVprozaik [17]

D. there is a perfect association between the variables

7 0

3 years ago

Y + 4/9 = 2/3 Solve the equation..

emmainna [20.7K]

Y + 4/9 = 2/3

Let's convert 2/3 into 6/9 so it will be easier to subtract.

Y + 4/9 = 6/9
Subtract 4/9 on both sides.

Y = 2/9 Hope this helps!

4 0

3 years ago

What type of number is 15/10​

What type of number is 15/10