simplify (3+√5)(3+√2)

Considering the discriminant of zero for a quadratic equation, the correct option is given by:

C. It has one real solutions.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

Discriminant of zero is [tex]\Delta = 0[/tex], hence option C is correct.

More can be learned about discriminants at https://brainly.com/question/19776811

#SPJ1

Answer:

c ×=4, only

Step-by-step explanation:

4*-8×+16=0

16-32=-16

-16=-16

Answer:

D. x=4 only

Step-by-step explanation:

You can solve using the quadratic equation which is [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}[/tex]

where in this case a=1, b=-8, and c=16. But there is any easier way to solve the equation. You can solve by completing the square which consists of moving the constant to the right side and then adding [tex](\frac{b}{2})^2[/tex]. To both sides that way you can rewrite the left side as a perfect square binomial. This is because [tex](x+b)^2[/tex] will expand to [tex]x^2 + 2xb + b^2[/tex]. So when you add [tex](\frac{b}{2})^2[/tex] to both equations. You're able to rewrite the left side as [tex](x+(\frac{b}{2}))^2[/tex]. Because once you expand it out, it becomes [tex]x^2 + 2(\frac{b}{2})x + (\frac{b}{2})^2[/tex]. Which simplifies to [tex]x^2 + bx + (\frac{b}{2})^2[/tex] which is the original equation. In this case there is no need to move the constant, which in this case is 16, to the other side. Since if you calculate the value of (-8/2)^2 it's equal to 16! So this can already be written as a perfect square binomial.

So the equation becomes

[tex]0 = (x+\frac{b}{2})^2[/tex]

Plug values in

[tex]0 = (x+(-\frac{8}{2}))^2[/tex]

Simplify

[tex]0 = (x-4)^2[/tex]

Take the square root of both sides

[tex]0 = x-4[/tex]

Add 4 to both sides

[tex]4 = x[/tex]

Answer

c 

I'm not sure how to explain my bad

Answer:

The first option.

Explanation:

Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.

Answer:

There were 120 marbles to start

Step-by-step explanation:

Let x be the number of marbles at the start

x* 5/12 = number of marbles given away

1 -5/12 = 7/12 = fraction of marbles left

x * 7/12 = number of marbles left

x * 7/12 = 70

Multiply each side by 12/7

x *7/12 * 12/7 = 70 * 12/7

x =120

There were 120 marbles to start

Answer:

39

Step-by-step explanation:

Okay so there are 52 cards in a deck and there are 4 of each card. 4 kings 4 Queens 4 Jacks 4 Ace 4 Twos 4 Threes 4 fours 4 fives 4 sixes 4 sevens 4 eights 4 nines 4 tens. One from each group is a heart there are 13 groups so therefore subtract 13 from 52.

Answer:

yes

Step-by-step explanation:

and yes

Answer:

The answer is 1.

Step-by-step explanation:

If you look closely at the other answers, they are not alike as 1.

(HOPE THIS HELPED!)

Answer:

cbrt(x+1)-3=y

Step-by-step explanation:

The inverse of a function is when the domain and range are swapped. So to find the inverse simply swap the x and y in the equation and then solve for y.

[tex]y = (x+3)^3-1\\x=(y+3)^3-1\\x+1=(y+3)^3\\\sqrt[3]{x+1}=y+3\\\sqrt[3]{x+1}-3=y[/tex]

The range of the function lies between (0,8) to (1.5,1.25).

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The given function is:-

f(x) = 3x² -9x + 8

The value of the range will be from (0,8) to ( 1.5,1.25). When we plot the graph of the function the value of the range lies between the points (0,8) to ( 1.5,1.25). The graph is attached with the answer.

The domain of the function will be all the values of the real numbers for the function ranges from ( 0, ∞ ).

Therefore the range of the function lies between (0,8) to (1.5,1.25).

To know more about Domain and Range follow

brainly.com/question/26098895

#SPJ1

Because we have a vertical asymptote at x = -1, we conclude that the correct option is C.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, In the graph,

we can see that we have a vertical asymptote at x = -1.

Hence, This means that the denominator of the rational equation becomes zero when x = -1.

So the equation must be:

⇒ y = 1 / (x + 1)

Here, The denominator is x + 1, and as expected, it becomes zero when, x = -1.

Then, we conclude that the correct option is C.

If you want to learn more about rational equations:

brainly.com/question/1851758

#SPJ5

Step-by-step explanation:

please mark me as brainlest

Answer:

135

Step-by-step explanation:

2x²/x + x(100 - 15x)

If x = 5 ;

2(5)²/5 + 5(100 - 15×5)

= 2×25/5 + 5(100 - 75)

= 2 × 5 + 5 × 25

= 10 + 125

= 135

The solution set is 1 ≥ f ≥ -4, and the correct number line is the one in option A.

Here we have the inequality:

-1 ≤ -2f + 1 ≤ 9

To solve this, we need to isolate the "f" on the middle.

First, we can subtract 1 in both sides to get:

-2  ≤ -2f ≤ 8

Now we need to divide both sides by -2, remember that this will change the direction of the symbols:

-2/-2 ≥ f ≥ 8/-2

1 ≥ f ≥ -4

So we need to have a line that starts at -4 and ends at 1, the correct option is number line A.

If you want to learn more about inequalities:

https://brainly.com/question/18881247

#SPJ1

Answer:

The answer is 0.45 pounds for an apple and 0.3 pounds for a pear

Step-by-step explanation:

Answer:

Cost of each apple: [tex]0.45[/tex].

Cost of each pear: [tex]0.30[/tex].

Step-by-step explanation:

Let [tex]x[/tex] denote the cost of each apple. Let [tex]y[/tex] denote the cost of each pear.

The question states that the cost of [tex]4[/tex] apples and [tex]3[/tex] pears is [tex]2.70[/tex]. Thus:

[tex]4\, x + 3\, y = 2.70[/tex].

Likewise, since the cost of [tex]2[/tex] apples and [tex]5[/tex] pears is [tex]2.40[/tex]:

[tex]2\, x + 5\, y = 2.40[/tex].

Solve this system of equations for [tex]x[/tex] and [tex]y[/tex] to find the price of each fruit.

[tex]\left\lbrace \begin{aligned} & 4\, x + 3\, y = 2.70 \\ & 2\, x + 5\, y = 2.40\end{aligned}\right.[/tex].

Multiply both sides of the equation [tex]2\, x + 5\, y = 2.40[/tex] by [tex]2[/tex] to match the coefficient of [tex]x[/tex] in the first equation:

[tex]\left\lbrace \begin{aligned} & 4\, x + 3\, y = 2.70 \\ & (2\times 2)\, x + (2 \times 5)\, y = (2 \times 2.40)\end{aligned}\right.[/tex].

[tex]\left\lbrace \begin{aligned} & 4\, x + 3\, y = 2.70 \\ & 4\, x + 10\, y = 4.80 \end{aligned}\right.[/tex].

Substitute the first equation from the new equation to eliminate [tex]x[/tex] and solve for [tex]y[/tex]:

[tex]\begin{aligned}& 4\, x + 10\, y - (4\, x +3\, y) = 4.80 - 2.70\end{aligned}[/tex].

[tex]10\, y - 3\, y = 2.10[/tex].

[tex]7\, y = 2.10[/tex].

[tex]y = 0.30[/tex].

Substitute [tex]y = 0.30[/tex] into an equation from the original system to eliminate [tex]y[/tex] and solve for [tex]x[/tex].

[tex]2\, x + 5\, y = 2.40[/tex].

[tex]2\, x + 5 \times 0.30 = 2.40[/tex].

[tex]2\, x = 0.90[/tex].

[tex]x = 0.45[/tex].

Thus, [tex]x = 0.45[/tex] and [tex]y = 0.30[/tex].

In other words, the price of each apple would be [tex]0.45[/tex]. The price of each pear would be [tex]0.30[/tex].

Answer:

0.93

Step-by-step explanation:

Answer:

[tex]\fbox {x = 2}[/tex]

Step-by-step explanation:

Given :

14x - 12 = 16

Add 12 to each side :

14x - 12 + 12 = 16 + 12

14x = 28

Divide each side by 14 :

14x/14 = 28/14

x = 2

Answer:

The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as 2 (1.41421356..., the square root of 2, an irrational algebraic number).

There are 16807 number of ways the passengers to be assigned a floor and there are 2520 number of ways the passengers to be assigned a floor but no two passengers are on the same floor.

Given that an elevator starts with five passengers and stops at the seven floors of a building.

From the given information, the total number of floors n=7.

The number of passengers r = 5.

(a) Compute the number of ways that 5 passengers can be assigned to seven floors.

Here, repetition is allowed.

From the known information, if r numbers are selected from n number of observations then the total number of observations that can be drawn from n number of observations is [tex]n^r[/tex].

If 5 passengers can be assigned to seven floors is 7⁵ = 16807.

(b) Compute the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor.

Here, repetition is not allowed.

If 5 passengers can be assigned to seven floors but no two passengers are on the same floor is 7x6x5x4x3 = 2520.

Hence, the number of ways that 5 passengers can be assigned to seven floors is 16807, and the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor is 2520.

Learn about permutation from here brainly.com/question/16554742

#SPJ4

Answer:

g(b-3) = -b + 7

Step-by-step explanation:

Plug in the value (b-3) as x into the equation

g(b-3) = -(b-3) + 4

distribute the negative sign

g(b-3) = -b + 3 + 4

combine like terms

g(b-3) = -b + 7

Answer + Step-by-step explanation:

y = mx + b where m is the slope and b is the y-intercept

y = x + 3 where m = 1 is the slope and b = 3 is the y-intercept

Table of some points:

| x | 0 | 1 | 2 | 3 |

| y | 3 | 4 | 5 | 6 |

when x = 0, y = 0 + 3 and y = 3

when x = 1, y = 1 + 3 and y = 4

when x = 2, y = 2 + 3 and y = 5

Graph:

Answer:

B. Matter

Explanation:

When rocks break down and become smaller ex: mountains eventually becoming sand, the matter does not disappear or get destroyed, it becomes smaller particles, but the matter is always preserved.

Hope It Helps!!!

Answer:

matter

Step-by-step explanation:

The conservation of matter states that

Here big matters gets down into smaller pieces

but they are not destroyed

Answer:

Step-by-step explanation:

I'm not sure exactly what you're trying to ask
but r and s are parallel
and I'm assuming the 3rd line is line m, line m is not parallel to any line
and angles A and B are equal

Using translation concepts, the graph of g(x) is given at the end of the question.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

[tex]f(x) = \sqrt{x}[/tex].

With the changes, we have that:

Hence the function will be given by:

[tex]f(x) = \sqrt{-x} - 2[/tex].

The graph is given at the end of the answer.

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. Each of these equations on their own could have infinite possible solutions.

Answer:

Step-by-step explanation:

To calculate a+1/a, we first need to calculate for a.

a = 7 - 4 * [tex]\sqrt[2]{3}[/tex]

square root of 3 = 1.73

a = 7 - 4 * 1.73

a = 7 - 6.9

a = 0.1

0.1 + 1 / 0.1 = 0.1 + 10 = 10.1

Now, in case 4 wasn't being multiplied with the square root of 3, and instead, it was four root of 3, I am gonna do the calculations again:

a = 7 - [tex]\sqrt[4]{3}[/tex]

a = 7 - 1.31

a = 5.69

5.69 + 1 / 5.69 = 5.69 + 0.17 = 5.86

Hope I Helped!

The sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

The coloured portion of the circle is known as a sector. The formula for calculating the area of a sector is given as:

Area of a sector = θ/360 * πr²

where

θ is the central angle

πr² represents the area of a circle.

Therefore the best statement that explains the formula is expressed as the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Learn more on area of sector here: https://brainly.com/question/22972014

#SPJ1

Answer:

Its A edge 2023

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Percent= (part ÷ whole)x100=21/60x100=(0.35)x100=35%

Answer:

∠ 2 = 75° , ∠ 1 = 105°

Step-by-step explanation:

∠ 2 and 75° are alternate angles and are congruent , then

∠ 2 = 75°

∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is

∠ 1 + ∠ 2 = 180°

∠ 1 + 75° = 180° ( subtract 75° from both sides )

∠ 1 = 105°

the required perimeters are 26 inch, 48 inch, 34 inch and 64 inch respectively.

Perimeter, is the measure of the figure on its circumference.

1. perimeter for a cross section parallel  to base of right rectangular prisms that is 10 inches long, 3 inches wide and 14 inches high:
length = 10 inches and width = 3 inch
The perimeter of that cross section is given by.
= 2 x length + 2 x width
=  2 x 10 + 2 x 3
= 20 + 6
= 26 inches

2.  perimeter of cross section  perpendicular to the base of a cube with 12 inch edge is given by.
= 4 x length
= 4 x 12
= 48 inches

3. perimeter of a cross section perpendicular to the base and passing through the diagonal of the base the right rectangle is given by.
length = 5; width = 12; height = 4; diagonal = 13;
perimeter = 2 x height + 2 x diagonal
                 = 2 x 4 + 2 x 13
                 =  34  inches

4. perimeter of a cross section of a cube having edges of 16 inches each.
   perimeter = 4 x edge
                    =  4 x 16

                    =  64

Thus, The required perimeter of the cross section are 26, 48, 34, 64 all in inches.

learn more about perimeter here:
https://brainly.com/question/6465134

#SPJ1

The value of the expression 3f(-2) + f(1) is 45

Piecewise functions are functions that has two or more equations. They can consists of parabola and straight line.

From the equations, the point where x is -2 is f(x) = 3x^2 - 2x

f(-2) = 3(-2)^2 - 2(-2)
f(-2) = 12 + 4

f(-2) = 16

Similarly the point where x = 1 is -2√x - 1

f(1) = -2√1 - 1

f(1) = -2 - 1

f(1) = -3

Substitute

3f(-2) + f(1) = 3(16) +(-3)
3f(-2) + f(1) = 48 - 3
3f(-2) + f(1) = 45

Hence the value of the expression 3f(-2) + f(1) is 45

Learn more on piecewise function here: https://brainly.com/question/27262465

#SPJ1

Answer:

Not enough information.  See below.

Step-by-step explanation:

Z-M = 2

x= 33.5, then Z = ?

How does x relate to Z or M?  Is the Z-M= 2 equation correct?  Or is it M=33.5?