How many solutions will there be for a quadratic equation of the form ax2 + bx+c = 0 if the discriminant, b2 - 4ac, is negative?
1.)There will be two complex solutions.
2.)There will be one real solution.
3.)There will be two real solutions.
3.)There will be no solutions.

Answers

Answer 1
the first one ..........

Related Questions

If h(x)= 4(x + 6), what is the value of h(4)? a 16 b -5 c 32 d 40

Answers

Answer:

40

Step-by-step explanation:

h(x)= 4(x + 6)

Let x=4

h(4)= 4(4 + 6)

     = 4(10)

    = 40

Answer:

D

Step-by-step explanation:

So we have the function:

[tex]h(x)=4(x+6)[/tex]

To find h(4), substitute 4 for x. Thus:

[tex]h(4)=4(4+6)[/tex]

Add within the parentheses:

[tex]h(4)=4(10)[/tex]

Multiply:

[tex]h(4)=40[/tex]

The answer is D.

And we're done!

what is the difference between 585 and -8

Answers

Answer:

593

Step-by-step explanation:

when you are subtracting a negative it is the same as adding

Write a numerical expression for the verbal phrase. The quotient of 81 and 3.
A. 3÷81
B. 27
C. 81÷3
D.81×3​

Answers

Answer:

C.  81÷3

Step-by-step explanation:

We want to write a numerical expression for the phrase: "the quotient of 81 and 3"

Quotient indicates division, so we must divide 81 by 3.

81÷3

This can be further simplified, but the questions asks for a numerical expression. This is defined as an expression with numbers and at least one operation. So, B is correct, because 81 divided by 3 is 27, but it is not a numerical expression.

Therefore, the best answer choice is C.  81÷3

The sum of y and 13 divided by 2

Answers

Answer:

7.5

Step-by-step explanation:

what is 8.546 rounded to the nearest tens?

Answers

Answer:

10

Step-by-step explanation:

In this problem we need to round off 8.546 to the nearest tens. 8 is in ones place, 5 is in tenths place, 4 is in hundredths place and 6 is in thousandth place.

8 falls between 5 and 10 on the number line. It is less than 5 and more than 10. When it is rounded off to nearest tens it can be given by 10.

Mrs. Yakubov needs to distribute 4 colored pencils and 3 glue sticks to the 6 tables in her classroom. Which expression represents the number of materials being distributed this situation? 6(4 + 3) 4(3 + 6) 3(4 + 6)

Answers

Answer:

[tex]6(4 + 3)[/tex]

Step-by-step explanation:

Given

Pencils = 4

Glue = 3

Required

Distribute these to 6 tables

Represent the pencils with P and Glue with G

The distribution to 6 tables will be:

[tex]6P + 6G[/tex]

Apply distributive property

[tex]6(P + G)[/tex]

Substitute values for P and G

[tex]6(4 + 3)[/tex]

Hence, the first option answers the question

Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points. 90 ÷ [ 10 + ( 3 2 − 4 ) ]

Answers

You are welcome
I’m from Vietnam

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression when simplified is equal to 2.3684.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As per the PEMDAS, we will first solve the parenthesis. Since the round parenthesis is solved first, therefore, we can write,

90 ÷ [10 + ( 32 − 4 )]

= 90 ÷ [10 + (28)]

= 90 ÷ [10 + 28]

Solving the next parenthesis, therefore, the square brackets,

= 90 ÷ [10 + 28]

=  90 ÷ 38

At last, we will solve the division, therefore, we can write,

= 90 ÷ 38

= 2.3684

Hence, the value of the expression when simplified is equal to 2.3684.

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Evaluate and simplify the following complex fraction.

Answers

Answer:

The answer is

[tex] - \frac{10}{7} \: \: \: or \: \: - 1 \frac{3}{7} [/tex]

Step-by-step explanation:

[tex] \frac{ - \frac{5}{7} }{ \frac{2}{4} } [/tex]

First of all we can write the fraction as

[tex] - \frac{5}{7} \div \frac{2}{4} [/tex]

Simplify the second fraction

That's

[tex] \frac{2}{4} = \frac{1}{2} [/tex]

So we have

[tex] - \frac{5}{7} \div \frac{1}{2} [/tex]

Next change the division sign to multiplication sign and reverse the second fraction

That's

[tex] -\frac{5}{7} \times \frac{2}{1} [/tex]

Multiply the terms

We have the final answer as

[tex] - \frac{10}{7} \: \: \: or \: \: - 1 \frac{3}{7} [/tex]

Hope this helps you


There are two numbers which add up to 20. If one number is five more than four times the other, find the numbers.

Answers

Answer:

  3 and 17

Step-by-step explanation:

Let x and y represent the numbers.

  x + y = 20 . . . . . . . . the numbers add up to 20

  x = 5 + 4y . . . . . . . . one number is 5 more than 4 times the other

Substituting the second equation into the first:

  (5 +4y) +y = 20

  5y = 15 . . . . . . . . . . subtract 5

  y = 3 . . . . . . . . . . . . divide by 5

  x = 20 -3 = 17

The numbers are 17 and 3.

Solve the formula 2x+3y=12 for y.

Answers

Answer:

y=4 - [tex]\frac{2x}{3}[/tex]

Step-by-step explanation:

The value of y for 2x + 3y = 12 is (12 - 2x) / 3.

Given,

2x + 3y = 12

We will solve for y.

How to solve an equation for a variable?

We will keep the like terms on one side of the equation and solve for the required variable.

Example: x + 2x + y = 3 + 2y

Solve for y:

x + 2x + y = 3 + 2y

3x = 3 + 2y - y

3x - 3 = y

3(x - 1) = y

y = 3(x - 1) is our answer.

Solve 2x + 3y = 12 for y.

We have,

2x + 3y = 12

Keep y on one side of the equation.

3y = 12 - 2x

Divide both sides by 3.

y = (12 - 2x) / 3

Thus the value of y for 2x + 3y = 12 is (12 - 2x) / 3.

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PLS ANSWER FAST!! CORRECT ANSWER GETS BRAINLIEST!!!!

Answers

The price per pound of cinnamon is $5.25/0.75 lb is TRUE

The 0.75 lbs of cinnamon costs $5.25 is TRUE

Cinnamon costs $7 per one pound cannot be determined

5.25 lbs of cinnamon costs .75 is NOT TRUE

The weight per bag of cinnamon is 5.25 is NOT TRUE or CANNOT BE DETERMINED

hope this helped :)

if 5a + 2b + 6c 32, what is the value of c?

Answers

Answer:

c= (-5a-2b+32)/6

Step-by-step explanation:

this is the answer, but you will b=have to a little more work to figure out each variable so you can get a number

What is 31 1/2 divided by 3 1/2

Answers

Answer:

9

Step-by-step explanation:

used a calculator

A faucet leaks water at a constant rate of 58 quart every 15 minutes.How many quarts does the faucet leak per hour?

Answers

Answer:

232 quarts

Step-by-step explanation:

58 quarts per 15 minutes, so 15 minutes x4 is an hour, so you would also do 58x4 which gets your answer of 232 quarts

Hope this helped :)

In a volcano, erupting lava flows continuously through a tube system about 13 kilometers to the sea. Assume a lava flow speed of 0.5 kilometer per hour and calculate how long it takes to reach the sea.

Answers

Answer:

26 hours

Step-by-step explanation:

speed = distance/time

s = d/t

st = d

t = d/s

t = (13 km)/(0.5 km/h)

t = 26 h

Answer: 26 hours

Solve for x
9- 2y + 8y – 7 = -22

Answers

Answer:

-4

Step-by-step explanation:

-4

Step-by-step explanation:

Select the correct answer for each statement. (k+2, k+3 , k+4) or (k+10, k+12, k+14) will yield consecutive odd integers. (k+6, k+8 , k+10) or (k+1, k+2, k+3) will yield consecutive integers.

Answers

Answer:

Step-by-step explanation:

one

The only really certain way of getting an odd integer is to do 2k + 1. Therefore the answer should be something like 2k+1, 2k+3, 2k + 5

The best I can do for the first one is to assume that k is odd and that the answer is k + 10, k+12, k+14, but I would ask your instructor if this is merely the best answer out of a poor lot or if the question really has no answer.

Two things should be noted.

1. k has to be odd.

2. The first choice has to give consecutive integers because what is added on is 2 3 and 4. Those numbers are consecutive.

Two

k+1, k+2, k+3. See point 2 above. k is a constant and any number. 1,2,3 are consecutive so the results are consecutive. Even if k < 0 the numbers will be consecutive.

k= - 10

k+1 = - 9

k+2 = -8

k+3 = - 7

These are consecutive.

Your first choice will give either consecutive odd or even numbers depending on what k is.

If k = even, then k+6, k+ 8, k+10 will all be even.

If k = odd then the givens will be odd.

2k+9, 2k+11, 2k+13 will yield consecutive odd integers.

k+6, k+8, k+10 will yield consecutive integers.

The sale price of a new refrigerator is $648 and sales tax is figured at 0.10 times the price. What is the total amount paid for the refrigerator?

Answers

Answer:

$712.80

Step-by-step explanation:

648×0.10=64.8

648+64.8=712.8

The total amount paid for the refrigerator is $712.8.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Sale price = $648

Sales tax = 0.10 times the price

The total amount paid.

= 648 + 0.10 x 648

= 648 + 64.8

= 712.8

Thus,

The total amount paid is $712.8.

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Write the equation of the line in slope-intercept form.

Answers

Answer
y=mx+b
y=2x-7

Explanation
m = the “common difference” between two points
In this graph, it’s 2 because every time the line moves across the x axis by 1, it increases in 2 in the y axis

b = the point that intercepts the y axis; the y-intercept
In this graph, the point intercepts the y axis at -7 (the y-intercept is -7)

Solve for the variable!
1. 2x + 21 = 40
2. 4x - 12 = 3x + 9
3. 3(x -1) + 2 = 7x

Answers

Step-by-step explanation:

1. 2x + 21 = 40

2x = 40 - 21

2x = 19

x = 19/2 = 9.5

2. 4x - 12 = 3x + 9

4x - 3x = 9 + 12

x = 21

3. 3x - 3 + 2 = 7x

3x - 1 = 7x

-1 = 7x - 3x

-1 = 4x

4x = -1

x = -1/4

= - 0.25

7 - 5 + 14 / 2 + 6. workings pls​

Answers

Answer:

15

Step-by-step explanation:

PEMDAS

7-5+14/2+6

14/2=7

7-5=2

6=6

7+2+6=15

[tex]\text {Hello! To answer this question you must...}[/tex]

[tex]\text {Subtract:}[/tex]

[tex]\text {7-5=2}[/tex]

[tex]\text {Divide:}[/tex]

[tex]\text {14/2=7}[/tex]

[tex]\text { Your new equation should be 2+7+6}[/tex]

[tex]\text {Now for the final step you add}[/tex]

[tex]\text {2+7+6=}[/tex]

[tex]\fbox {15}[/tex]

[tex]\text {Bext of Luck!}[/tex]

[tex]\text {-LimitedX}[/tex]

how do i do linear functions?​

Answers

Answer:

1. Substitute the value of f(x) into the problem. 8=3x-1.

2. Isolate the variable. Add 1 to both sides to isolate the variable term by using the opposite operation to move the constant term across the equal sign. ...

3. Continue to isolate the variable. ...

4. Simplify.

Step-by-step explanation:

A local pizza shop has a membership program for frequent buyers the membership cost $25 per month the members get a discount price of 150 per pizza slice Aaliyah purchased a membership to this pizza shop how much would a Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month what would be the monthly cost for a slice of pizza

Answers

This question was not written properly

Complete Question

A local pizza shop has a membership program for frequent buyers the membership cost $25 per month the members get a discount price of $1.50 per pizza slice. Aaliyah purchased a membership to this pizza shop , how much would Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month ?

What would be the monthly cost for a slice of pizza?

Answer:

a) $34

b) $26.50

Step-by-step explanation:

From the question:

Membership for frequent buyers in a month = $25

Discount price = $1.50 per pizza slice

a) How much would Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month ?

This is calculated as:

Membership cost in a month + Discount price × Number of pizzas bought

= $25 +( $1.50 × 6 slices of pizza)

= $25 + $9

= $34

b) What would be the monthly cost for a slice of pizza?

This is calculated as:

Membership cost + Discount price × Number of slices

= $25 + $1.50 × 1

= $26.50

Write an equation with a slope of -7 and a y-intercept of (0,4)

Answers

Answer:

Step-by-step explanation:

y - 4 = -7(x - 0)

y = -7x + 4

A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you chose tiles with the letters A,B,C?


Ps: don’t text me only if u know the answer that’s it

Answers

Answer:

for each letter 1 /26 is the probability

Step-by-step explanation:

probability = no. of events / no. of outcome

probability for tile A

                  = no. of events / no. of outcome

                  = 1 / 26

probability for tile B

                  = no. of events / no. of outcome

                  = 1 / 26

probability for tile C

                  = no. of events / no. of outcome

                  = 1 / 26

Hope it helpsplease mark brainliest

Please assist me with these problems and show the work. Part 1 4. From a horizontal distance of 80.0 m, the angle of elevation to the top of a fragpole is 18°. Calculate the height of the flagpole to the nearest tenth of a metre. 5. A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.

Answers

Answer:

4) About 26.0 feet

5) About 80 degrees.

Step-by-step explanation:

Please refer to the (badly drawn, sorry) drawings.

4)

So for a horizontal distance of 80 meters, the angle of elevation is 18 degrees.  And we want to find the height.

The horizontal distance is adjacent to the angle, and the height is opposite to the angle. Thus, we can use the trigonometric ratio tangent.

Recall that tangent is:

[tex]\tan(x)=opp/adj[/tex]

Substitute 18 for x, h for opposite, and 80 for adjacent. Thus:

[tex]\tan(18)=\frac{h}{80}[/tex]

To solve for h, multiply both sides by 80:

[tex]h=80\tan(18)[/tex]

Use a calculator:

[tex]h\approx25.9938[/tex]

So, the height is approximately 26.0 feet.

5)

So, this time, we need to find the angle. We know the hypotenuse and the side adjacent to the angle. So, we can use cosine. Recall that:

[tex]\cos(x)=adj/hyp[/tex]

Substitute 1.5 for adjacent and 9 for the hypotenuse. Thus:  

[tex]\cos(x)=\frac{1.5}{9}[/tex]

Take the inverse cosine of both sides:

[tex]x=\cos^{-1}(\frac{1.5}{9})[/tex]

Use a calculator:

[tex]x\approx80.4059\textdegree\approx80\textdegree[/tex]

So, the angle is about 80 degrees.

And we're done!

Answer:

4) About 26.0 feet

5) About 80 degrees.

Step-by-step explanation:

Is the answer (-1,1)???

Answers

Answer:

yes

Step-by-step explanation:

Answer:

(1 , -1)

Step-by-step explanation:

7( 1 ) - 3( -1 ) = 10

7 - - 3 = 10

7 + 3 = 10

10 = 10

true

Name the coordinate of P(-5, 8) under a translation along the
(x+2, y -1)

Answers

(-3, 7)

Explanation: the point (-5,8) moves to the left (x axis) 2 points and down (y axis) 1 point. Thus -5 + 2 = -3 and 8 - 1 = 7, so the answer is (-3, 7)

Which fractions are equivalent to 6/8 ? Check all that apply.
1/4
2/8
4/16
3/4
12/16​

Answers

Answer:

3/4

Step-by-step explanation:

you got to find the half of the number

Why is the answer for letter b 9?

Answers

Answer:

Take a look at the 'proof' below

Step-by-step explanation:

The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).

Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.

For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.

Step-by-step explanation:

From x=0 to x=1, the function is above the x-axis, so the area is positive.

From x=1 to x=5, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.

From x=5 to x=9, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.

Since the area increases in each interval, the area is a maximum at x=9.

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