Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real
number solutions does the equation have?
Discriminant = b2-4ac
0
1
2
12

Answer:

42

Step-by-step explanation:

Y=3((2×4)+6)

Y=3(8+6)

Y=3(14)

Y=42

Answer:

What’s the answer

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The value of x, given that when it divides a number, there is a quotient and a remainder, is 400

To find the value of divisor, we can use a variant of the division algorithm formula :

Divisor = ( Dividend - Remainder ) / Quotient

x is the divisor

Dividend = 19, 432

Remainder = 232

Quotient = 48

This means that the value of x is:

x = ( 19, 432 - 232 ) / 48

x = 19, 200 / 48

x = 400

In conclusion, x is 400.

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The overall percentage increase in the account balance from the initial deposit at the end of 10 years is $786.25 which is 87.36%.

What is compound interest?

The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate is raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.

When the amount compounds quarterly, it means that the amount compounds 4 times in a year. i.e., n = 4. We use this fact to derive the quarterly compound interest formula. Thus, the quarterly compound interest formula is:

A = P (1 + r/4)4t

Nicolas deposited $900 into an account that pays 6.48% annual interest compounded annually.

The balance in the account after 10 years was $1686.25.

INCREMENT in 10 years is 1686.25-900 = $786.25

So the percentage increment will be 900-786.25/ 900 = 87.36%

Hence, the overall percentage increase in the account balance from the initial deposit at the end of 10 years is $786.25 which is 87.36%.

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The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity , Option B is the correct answer.

A polynomial is an expression which consists of variables , Coefficient , indeterminate and mathematical operations.

The polynomial given has  lead term -x⁷

So when x --> ∞  , -x⁷---> - ∞

and when x ---> - ∞  , -x⁷ ---->  ∞

Similarly for the function P(x)

So when x --> ∞  , P(x)---> - ∞

and when x ---> - ∞  ,  P(x) ---->  ∞

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity

Therefore Option B is the correct answer.

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Answer:

\( 105 \: {m}^{3} \)

Step-by-step explanation:

Volume of swimming pool

\( = 1 \frac{1}{2} \times 10 \times 7 \\ \\ = 1.5 \times 70 \\ \\ = 105 \: {m}^{3} \)

Answer: The volume is 105 m3.

Step-by-step explanation:

V= l*w*h

V= 10* 1 1/2* 7

V= 105

Answer:

a\(\geq\)-3

Step-by-step explanation:

Answer:

-3  ≤  a

Step-by-step explanation:

6≥ -6(a+2)

Divide each side by -6, remembering to flip the inequality

6/-6 ≤ -6/-6(a+2)

-1 ≤ (a+2)

Subtract 2 from each side

-1 -2  ≤  a+2-2

-3  ≤  a

Answer:

40ft

Step-by-step explanation:

The volume of a square pyramid is given by:

\(V=\frac{l^2h}{3}\)

where V is the volume, l is the length of the square base, and h is the height.

Since we need to find the length, we solve for \(l\) in the last equation:

\(l^2h=3V\\\\l^2=\frac{3V}{h} \\\\l=\sqrt{\frac{3V}{h} }\)

and now, we substitute the known values:

\(V=19,200ft^3\\h=36ft\)

and we get the following:

\(l=\sqrt{\frac{3(19,200ft^3)}{36ft} }\\ \\l=40ft\)

the length of the square base is 40ft

Answer:

Shift 3 units to the right.

Reflect over the x-axis

The percentage change in G is 21 %

Percentage change is defined as the increase or decrease in the value as compared to the original value multiplied by 100.

It is given that

G = ab

when a is increased by 10% the new a will be = 1.1 a

When b is increased by 10% the new b will be 1.1 b

So,

G' = 1.1a *1.1 b

G' = 1.21 ab

G' = 1.21

(G' - G)*100/G = (1.21-1)*100/1

The percentage change is 21 %

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Answer:

1. 7/10

2.1/10

3.6/10 (Simplifly is 3/5)

4. 1/10

Step-by-step explanation:

Answer:

(d) -12

Step-by-step explanation:

3a = _____

a = -4

3(-4) = ___

3(-4) = -12

The answer is (d) -12

Answer:

$365.37

Step-by-step explanation:

add the hours up which is 20+19.5=39.5

then multiply by the wage 9.25 which is 39.5*9.25 which equals 365.375 and you cant round a penny up because its not possible in real life so your answer is just 365.37

Answer:

An easy way to solve this problem is divide $23.25 by 3 or $54.25 by 7. Either way, you get $7.75. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:

$7.75x = y

Step-by-step explanation:

Answer: y = 7.75x

Step-by-step explanation:

Find the difference of charges between 6 hours and 8 hours

62-46.5 = 15.5 for 2 hours

15.5/2 = 7.75/hr

62 = 7.75 x 8

Therefore there is no initial charge, and that the relationship is linear

so y = 7.75x

Answer:

1. zach is 20'

2. zack is 13

Step-by-step explanation:

The correct option regarding what is required to disprove a conditional statement is given by:

A single counterexample that shows the statement is not always true.

A conditional statement has the following format:

If Clause 1 then Clause 2...

In which:

The statement is disproved when there is even one single case in which Clause 1 is true and Clause 2 is false, that is, a counter example showing that the statement is not always true, hence the third option in this problem is correct.

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Answer:

i have the same question lol

Step-by-step explanation:

But i d k  the answer either sorry

Answer: 4.7x + 7.9

Step-by-step explanation:    8.4x + 2.9 - 3.7x + 5

( 8.4x- 3.7x) + ( 2.9+ 5)

( ( 8.4- 3.7) X x + ( 2.9+ 5)

4.7x +  (2.9+5)

4.7x + 7.9

I hope this helps have a great Day/night!!

Question:

You play tennis against a player that you have a 20% chance of winning. What is the probability that you win no game out of 6 games?

Answer:

\(Probability = 0.262144\)

Step-by-step explanation:

Represent the probability of winning with P(Win)

\(P(Win) = 20\%\)

Required

Determine the probability of not winning 6 games

First, we calculate the probability of not winning a game.

Opposite probability add up to 1.

So, we have:

\(P(Win) + P(Lose) = 1\)

\(P(Lose) = 1 - P(Win)\)

\(P(Lose) = 1 - 20\%\)

\(P(Lose) = 100\% - 20\%\)

\(P(Lose) = 80\%\)

The sample space of losing 6 games is:

Lose Lose Lose Lose Lose Lose

Therefore, the probability is:

\(Probability = 80\% *80\% *80\% *80\% *80\% *80\%\)

\(Probability = 0.80*0.80*0.80*0.80*0.80*0.80\)

\(Probability = 0.262144\)

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Answer:

Domain: \(-1 \le x < \infty\) or in interval notation \([-1, \infty)\)

Range: \(-\infty < x < 0\) or, in interval notation \((-\infty, 0)\)

And yes, you can graph it but not necessary for a  problem like this. I have provided the graph

Step-by-step explanation:

This is known as a piecewise function. Two different expressions for two different intervals

The domain of a function f(x) is the range of input values for which f(x) is real and defined

For example, the function \(f(x) = \frac{1}{x+1}\) is the set of all x values except for x = -1. Because at x = -1, the denominator will be 0 and division by 0 does not result in a real value for f(x). (It is actually defined as \(\infty\))

For \(f(x) = x^2 - 1\) , the domain is \(-\infty < x < \infty\) since either negative x or positive x will result in a real value for the function but not at \(-\infty\) or \(\infty\)

But the above function is only defined for \(-1 \le x \le 1\). So if we consider this part of the function the domain is \(-1 \le x \le 1\)

expressed in interval notation: [-1, 1]

The range is max-min.

At x = 0, min = -1, at x = ∞, max = ∞

So range of this part of the piecewise function is [-1, ∞)

For the second interval f(x) = \(-x + 1\) at \(x > 1\) . Since x can range from > 1 to \(\infty\),  the function is valid only for 1 <x < \(\infty\)

So the domain of this part of the function is

\(1 \le x < \infty\)   expressed in interval notation as \((1, \infty)\)

For range,

At x = 1 , the function value is -1 + 1 = 0 (max)

At x = \(\infty\), the function value is \(-\infty\) (min)

So range of this part of the function is (-∞, 0)

Taking both into consideration, we choose the most appropriate lowest and highest levels. This is called the union of the two domains.

Hence the domain for the entire piecewise function is

[-1, ∞)

Range of the entire piecewise function is

(-∞, 0)

(I had to do a lot of typing here. Not sure if I made typos. Please check)

The total amount of paper required is 3π(3+√71)unit²

The equation for the surface area of a cone is given as follows:

A = πr²+πrs.

Height of the cone, h = 8 & radius of the cone = 3, the slant height s is given as: s = √(r²+h²)

Substituting the values of r & h to determine s

s = √(8²+3²)

s = √71

Substituting the values to get Area,

A=π*3²+π*3*√71.

A=3π(3+√71)

Hence, the required paper will be A=3π(3+√71)unit²

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Explanation

Given an expression

Therefore, we will have;

Number 1

Answer:

Number 2

Answer:

Number 3

Answer:

Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

<95141404393>

Answer:

B and D

Step-by-step explanation:

Both B and D cross over the point (4, 8) therefore they share the solution (4, 8)

Answer:$0.85

Step-by-step explanation:

.95x17= 16.15    17.00-16.15=0.85

Answer:

Step-by-step explanation: