What are the zeros of the quadratic function f(x)=8x^2-16x-15

Well . . .

4 out of 12 eggs makes the fraction 4/12 for pancakes.

3 out of 12 eggs makes the fraction 3/12 for cupcakes.

4/12 + 3/12 + 7/12

If you don’t know how to do it here you go judging by how easy the question is -

Only add the numerator (top) and keep the denominator (bottom) the same.

Hope this helps :)

The greatest common factor (GCF) of [tex]28x^{3}[/tex] and  [tex]16x^{2} y^{2}[/tex] is the greatest common factor (GCF) of and  [tex]16x^{2} y^{2}[/tex] is [tex]4x^{2}[/tex] .

To find the greatest common factor (GCF) of  [tex]28x^{3}[/tex] and [tex]16x^{2} y^{2}[/tex]

, we need to identify the common factors between the two expressions.

The prime factorization of  is [tex]2.2.7.x.x.x.[/tex]

The prime factorization of [tex]16x^{2} y^{2}[/tex]  is [tex]2.2.2.2.x.x.y.y.[/tex]

Now, let's identify the common factors:

Both expressions have [tex]2.2.x.x[/tex] in common.

So, the greatest common factor (GCF) of and [tex]16x^{2} y^{2}[/tex] is [tex]4x^{2}[/tex] .

COMPLETE QUESTION:

Circle the GCF of [tex]28x^{3}[/tex] and [tex]16x^{2} y^{2}[/tex]

[tex]28x^{3}[/tex]: [tex]2.2.7[/tex].*•*•*

[tex]16x^{2} y^{2}[/tex]:[tex]2.2.2.2.x.x.y.y[/tex]

The expression (20-4x)/4 equals 5 - x.

Given is an expression (20-4x)/4 we need to find an equivalent expression to it,

A mathematical expression or equation that is equivalent to another expression or equation is one that has the same value or meaning.

In other words, if two phrases yield the same result or depict the same mathematical relationship, they are deemed equal.

So,

By multiplying each word in the brackets by 4, it is possible to simplify the formula (20-4x)/4.

This results in:

(20/4) - (4x/4)

Simplifying even more

5 - x

Therefore, the expression (20-4x)/4 equals 5 - x.

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Answer:

Discriminant of the quadratic is-23

Step-by-step explanation:

The given quadratic function is [tex]3x^2-7x+6[/tex]

Comparing with the expression [tex]ax^2+bx+c[/tex]

a = 3, b = -7, c = 6

The discriminant of the quadratic is given by [tex]D=b^2-4ac[/tex]

Substituting the known values, discriminant of the quadratic is

[tex]D=(-7)^2-4(3)(6)\\\\D=49-72\\\\D=-23[/tex]

Therefore, discriminant of the quadratic is-23

Answer:

Increased by a factor of 4

Step-by-step explanation:

Answer:

The trigonometric ratio for [tex]\sin C[/tex] is  [tex]\frac{9}{41}[/tex]

Step-by-step explanation:

Given : A right triangle ABC with  ∠B = 90° and AC = 82 and BC = 80

We have to find the value of [tex]\sin C[/tex]

Since, Sine is defined as the ratio of perpendicular to its hypotenuse.

Mathematically written as [tex]\sin\theta=\frac{Perpendicular}{Hypotenuse}[/tex]

For the given triangle ABC, we have

Using Pythagoras theorem, For a right angled triangle, sum of square of base and perpendicular is equal to the square to its hypotenuse.

[tex](AC)^2=(AB)^2+(BC)^2[/tex]

Substitute, we get,

[tex](82)^2-(80)^2=(AB)^2\\\\ 6724-6400=(AB)^2\\\\ 324=(AB)^2\\\\ \Rightarrow AB =18[/tex]

[tex]\theta=C[/tex]

So, perpendicular = AB and Hypotenuse = AC

[tex]\sin C=\frac{AB}{AC}[/tex]

[tex]\sin C=\frac{18}{82}=\frac{9}{41}[/tex]

Thus, The trigonometric ratio for [tex]\sin C[/tex] is  [tex]\frac{9}{41}[/tex]

Answer:

For Equation 1:

For Equation 2:

Step-by-step explanation:

We are given two lines - one is an equation and one is an inequality.

Neither are in slope-intercept form (y = mx + b), so we need to make these adjustments.

Slope-intercept form has two key parts to the equation: m, which is the slope of the line and b, which is the y-intercept of the line.

Equation 1

[tex]\displaystyle2x+3y=18\\\\3y = -2x + 18\\\\y = -\frac{2}{3}x+6[/tex]

With this, we can now determine the domain, range, slope, and y-intercepts for this line.

For Equation 1, because our equation is in slope-intercept form, we can find the slope and the y-intercept.

Our equation is [tex]y=-\frac{2}{3}x+6[/tex]. Therefore, our m is [tex]-\frac{2}{3}[/tex] and our b is 6.

Because the equation is linear, there is no instance in which the line will not meet an x- or y-value. Therefore, our domain and range is all real numbers, or [tex]\mathbb{R}[/tex].

Equation 2

[tex]\displaystyle3x-4y>16\\\\-4y>-3x+16\\\\y < \frac{3}{4}x-4[/tex]

Now that we have solved the inequality, we can determine our slope, the domain, and the range of the function.

We can use the same tactic as before - m is our slope and b is our y-intercept. Therefore, [tex]\frac{3}{4}[/tex] is our slope and -4 is our y-intercept.

Because the inequality represents a line, our domain is all real numbers, or [tex]\mathbb{R}[/tex]. If we were to plug in any number for x, y would be true for that value. Therefore, our range is also all real numbers, or [tex]\mathbb{R}[/tex].

Answer:

Time of driving of Maria = 1.8 hours

Step-by-step explanation:

Let a be time drove by Carlos and b be the time drove by Maria.

Carlos and Maria drove a total of 233 miles in 4.4 hours.

Total time = 4.4 hours

           a + b = 4.4 ------------------eqn 1

Carlos drove the first part of the trip and averaged 55 miles per hour. Maria drove the remainder of the trip and averaged 50 miles per hour.    

    Speed of Carlos =   55 miles per hour

    Speed of Maria =   50 miles per hour      

Total distance = 233 miles

That is

              55 a + 50 b = 233----------------------eqn 2

eqn 1 x 50

              50 a + 50 b = 220---------------------------eqn 3

eqn 3 - eqn 2

             55 a + 50 b -    50 a - 50 b   = 233 - 220

                  5a = 13

                   a = 2.6

Substituting in eqn 1

                2.6 + b = 4.4

                          b = 1.8

Time of driving of Maria = 1.8 hours

The value of h in this given alphabetical series is 10.

The difference between every two successive terms in an arithmetic series is always the same. The number "a" is the first term, and "d" is the common difference between the. sequence. The nth term of an arithmetic sequence is given by. aₙ = a + (n – 1)d

Given, f=6 and g=8

Since, there is no additional data is given I will assume this is the question of Alphabetic sequence.

In Alphabet Series section, a string of alphabets, either in a single file or in combination form a sequence. This sequence comes together following a definite rule. The candidate is expected to detect this rule and answer the questions at the end.

So,

the value of f = 6 and g = 8

Since, Alphabetic order after f and g is h, i ,j, k, l, .....

And common factor is 2

Thus,

The value of h = 8+2 = 10

The value of i = 10+2 = 12

The value of j = 12 +2 =14

And so on

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Answer:

6 meters.

Step-by-step explanation:

Let w represent width of the rectangle.

We have been given that the area of a rectangle playground is 78 square meters. The length of the playground is 13 meters.

We know that area of a rectangle is width times length of rectangle. We can represent our given information in an equation as:

[tex]\text{Area of rectangle}=\text{Length}\times \text{Width}[/tex]

[tex]78\text{ m}^2=13\text{ m}\times \text{Width}[/tex]

[tex]13\text{ m}\times \text{Width}=78\text{ m}^2[/tex]

[tex]\frac{13\text{ m}\times \text{Width}}{13\text{ m}}=\frac{78\text{ m}^2}{13\text{ m}}[/tex]

[tex]\text{Width}=6\text{ m}[/tex]

Therefore, the width of the rectangle is 6 meters.