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3 years ago

Place each of the digits 1, 3, 5, and 6 in the blanks provided to create an expression whose value is 1/10

Mathematics

1 answer:

kompoz [17]3 years ago

3 0

Answer:

$\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}$

Step-by-step explanation:

From the picture attached,

Multiplication of two fractions gives the result as $\frac{1}{10}$ .

This shows that the denominator of the fractions when multiplied with each other results a number that will be the multiple of 10.

Therefore, from the given numbers,

5 × 6 = 30

Rest two numbers be placed as the numerator of the fractions.

$\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}$

$=\frac{1}{10}$

Therefore, $\frac{1}{5}\times \frac{3}{6}=\frac{1}{10}$ will be the answer.

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Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the

LuckyWell [14K]

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero. This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

5 0

3 years ago

Write each equation in standard form using integers? y = 3x + 1 y = 4x - 7

Maru [420]

Answer:

The standard form of y = 3 x + 1 is -3x + y = 1 .

The standard form of y = 4x - 7 is -4x + y = -7.

Step-by-step explanation:

Here the given equation are:

y = 3 x + 1

and y = 4x - 7

The above equations are of the form: y = m x + C

Now, the STANDARD FORM of the equation is Ax + By = C

Consider equation 1:

y = 3 x + 1

or, y - 3x = 1

or. -3x + y = 1

⇒ The equation -3x + y = 1 is in STANDARD FORM.

Consider equation 2:

y = 4 x - 7

or, y - 4x = -7

or. -4x + y = -7

⇒ The equation -4x + y = -7 is in STANDARD FORM.

3 0

3 years ago

I NEED HELP ASAP GIVE U 50 POINTS

Dovator [93]

Answer:

37.5

Step-by-step explanation:

50+160=210.

210 is a 31.25% increase from 160

Multiply 120 by 1.3125 to get 157.5

subtract 120 from 157.5 to get a 37.5km increase or a 31.25% increase :)

4 0

2 years ago

What is one-quarter of one-twelfth?

olga2289 [7]

Is means equal in mathematics
of means multiplication
and if we are solving for x then we can translate your equation to:

$\sf{x=\frac{1}{4}\times\frac{1}{12}}$

Simplifying that more, we get:

$\sf{x=\frac{1}{48}}$

And your final answer is:

$\huge{\boxed{\bf{\frac{1}{48}~is~\frac{1}{4}~of~\frac{1}{12}}}}$