Compute the value of the discriminant and give the number of real solutions of the quadratic equation. -9x to the second power-6x-1=0

Answers

Answer 1
Answer:
discriminant=0
Number of real solutions=1


Step-by-step explanation:

Given the equation:
-9x^2-6x-1=0
Let a: coefficient of x^2
Let b: coefficient of x
Let c: constant
a=-9
b=-6
c=-1
The formula of the discriminant is given by:
discriminant= b^2 - 4ac
discriminant= (-6)^2 - 4(-9)(-1)
= 36 - 36 = 0
We know that:
If discriminant<0 then the equation has no real root
If discriminant=0 the equation has one real root
If discriminant>0 the equation has 2 real roots

Here we got discriminant=0 so the quadratic equation has 1 real root.

Related Questions

The measures angles of hexagon are 4x, 5x, 6x, 7x, 8x and 9x. calculate the size of the largest angle.​

Answers

Answer:

rounded to the nearest whole number = 166

Step-by-step explanation:

Add all of the angles together, to get 39x. In a hexagon, all the angles add up to 720. Divide 720 by 39 to get x, then multiply x by 9, as that is the largest angle to get an answer rounded to the nearest whole number of 166.

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what is the domain of the function f(x)=6x+3

Answers

Answer:

All Real Numbers

Step-by-step explanation:

This is a linear function, so the domain is All Real Numbers, or (-∞, ∞). In other words, the all numbers on the x-axis are defined on the graph. We have no points where x is undefined or imaginary. Domain contains all real numbers.

BRAINLIEST please if this helped!

half of number q is 4

Answers

1/2 (1q) = 4

insert extra text here

One-sixth of the fourth graders and one-third of the fifth graders miss school on Friday. The absentee sheet for Friday shows the names of 8 fourth graders and 14 fifth graders. How many fourth and fifth graders are enrolled in the school?

Answers

The number of fourth graders enrolled in the school is 48.

The number of fifth graders enrolled in the school is 42.

What is division?

Division is the process of determining the quotient of a number by grouping a number into equal groups using another number.

How many fourth and fifth graders are enrolled in the school?

Number of fourth graders = 8 ÷ 1/6

8 x 6 = 48

Number of fifth graders = 14 ÷ 1/3

14 x 3 = 42

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Lucy spent 4 hours babysitting last week. Her sister Maria spent (b) times as many hours babysitting as Lucy that same week. Select ALL values for (b) where Maria babysits more hours than her sister Lucy.

Answers

Answer: I need a diagram to answer this correctly

Step-by-step explanation: I do not have what is needed in order to answer this question

NO LINKS!! Find the perimeter of the figure part 2​

Answers

Answer:

310 yd

Step-by-step explanation:

Perimeter = distance all the way around the outside of a 2D shape

Missing vertical length = 22 + 27 + 15 = 64

⇒ perimeter = 59 + 22 + 32 + 27 + 32 + 15 + 59 + (22 + 27 + 15)

                     = 59 + 22 + 32 + 27 + 32 + 15 + 59 + 64

                     = 310 yd

Break into three rectangles

Length of left most long side=27+22+15=64yd

Now total perimeter

64+27+22+32++32+15+59+59310yd

If prices rose 20,000% per month, by what percentage would prices have risen in one year?

Answers

Answer:

If one month, it's 20.000%

then what of 12 months

>20,000×12= 240000% in a year.

Your patio is 12 feet by 15 feet. After remodeling, the new dimensions are 18 feet by 22 feet. By how many square feet have you increased the area of your patio?

Answers

Answer:  216 square feet

Work Shown:

Old area = 12*15 = 180 square feet

New area = 18*22 = 396 square feet

Difference = New - Old = 396 - 180 = 216

The patio's area increased by 216 square feet.

What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.

Answers

Answer:

x = 49

Step-by-step explanation:

Right angle so: 90 - 41 = x = 49

What is the area, in square inches, of the figure shown here?

10 in2
14 in2
16 in2
20 in2

Answers

Parallelogram

Area

S = ah

a = 5 in + 2 in = 7 in

h = 2 in

S = 7 in x 2 in = 14

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Suppose the goal is to raise $600. One equation relating the calendar and poster sales to the $600 goal is 3c + 2p= 600. Suppose the company donating the calendars and posters said they would provide a total of $250 items. ​

Answers

Answer:

100 calendars and 150 posters

Step-by-step explanation:

Note it seem the "$" shouldn't be in front of 250 as it is the numbe of items

a) The second equation is

c + p = 250

b) The graph of both equations is attached

The intersection point of the lines is (100, 150)

It indicates 100 calendars and 150 posters to be donated to meet both of targets $600 and 250 items.

Answer:

Given equation:

[tex]3c+2p=600[/tex]

where:

c = number of calendarsp = number of posters

Part (a)

If the company donating the calendars and posters said they would provide a total of 250 items then:

[tex]c+p=250[/tex]

Part (b)

To graph:

Rewrite both equations to make p the subjectFind the c-interceptFind the p-interceptConnect the two points with a straight line

[tex]3c+2p=600 \implies p=300-\dfrac{3}{2}c[/tex]

[tex]\textsf{x-intercept}: \quad 300-\dfrac{3}{2}c=0 \implies c=200 \implies (200,0)[/tex]

[tex]\textsf{y-intercept}: \quad 300-\dfrac{3}{2}(0)=300 \implies (0,300)[/tex]

[tex]c+p=250 \implies p=250-c[/tex]

[tex]\textsf{x-intercept}: \quad 250-c=0 \implies c=250 \implies (250,0)[/tex]

[tex]\textsf{y-intercept}: \quad 250-0=250 \implies (0,250)[/tex]

Point of intersection (equate equations):

[tex]\begin{aligned}300-\dfrac{3}{2}c &=250-c\\50 & =\dfrac{1}{2}c\\ c & =100\end{aligned}[/tex]

[tex]p=250-100=150[/tex]

[tex]\implies \left(100,150}\right)[/tex]

The point of intersection tells us that they need to sell 100 calendars and 150 posters to reach their goal of raising $600.  Therefore, the company needs to provide 100 calendars and 150 posters (or 250 items in the ratio of calendars to posters of 2 : 3).

What is the measure of overarc PR₂
R
o 300°
o 30°
30%
o 60°
o 15°

Answers

Answer:

60°

Step-by-step explanation:

By inscribed angle theorem

[tex]m(\widehat{PR}) = 2m \angle PQR \\ \\ \implies \: m(\widehat{PR}) = 2(30 \degree) \\ \\ \implies \: m(\widehat{PR}) =60 \degree[/tex]

Given f(x) =4x + 8 and g(x) = x^2 + x ; find ( f o g ) ( -5 )

Answers

Answer:

88

Step-by-step explanation:

(fog)(-g) = f(g(-5))

g(-5) is 20

f(20) is 88

The composition of the function at x = -5,

(fog)(-5) = 88.

What is composite function?

Let the two function f(x) and g(x) generate a new function h(x) using an operation.

The operation is composition of functions and h(x) is a composite function.

Given:

Two functions,

f(x) =4x + 8,

and g(x) = x² + x.

g(-5) = 20

The composition of the function at x = -5,

(fog)(-5) = f(g(-5))

(fog)(-5) = f(20)

(fog)(-5) = 20(4) + 8

(fog)(-5) = 88

Therefore, (fog)(-5) = 88

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Identify which value will be used for a variable. Write an equation that represents the problem Solve the problem
Question:
An Axolotl was pushed 48 yards downstream The Axolotl then swam in the opposite direction upstream at 6 yards benveen
breaks. How many breaks were taken?

Answers

Using proportions, it is found that when the Axolotl was swimming, 8 breaks were taken.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, in each break there are 6 yards. How many breaks are there in 48 yards? Hence the rule of three is given by:

1 break - 6 yards.

n breaks - 48 yards.

Applying cross multiplication:

6n = 48.

n = 48/6.

n = 8.

8 breaks were taken.

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California pumps about 1.74 × 10^10 gallons of groundwater each day. Texas pumps about 7.25 × 10^9 gallons of groundwater per day. About how many times greater is the amount of groundwater that California pumps per day than Texas?

Answers

The amount of groundwater that California pumps per day are 2.4 times more than in Texas.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

California pumps about 1.74 × 10¹⁰ gallons of groundwater each day.

Texas pumps about 7.25 × 10⁹ gallons of groundwater per day.

Then the ratio of the amount of water between California  and Texas will be

[tex]\rm \dfrac{California}{Texas} = \dfrac{1.74 \times 10^{10}}{7.25 \times 10^9}\\\\\\California \ = 2.4 \times Texas[/tex]

More about the division link is given below.

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Simplify the product using the rules for exponents. (4^2)^4

Answers

[tex](4^2)^4 = 4^{ (2 \times 4)} = 4^8 = 65536[/tex]

Answer ↓

[tex]\Large\text{65,536}[/tex]

Calculations ↓

In order to simplify this expression , we have to multiply the powers (notice that we have a power to a power)

Simplify as follows :

 

(4²)⁴ = 4⁽²ˣ⁴)=4⁸

4 times itself 8 times simplifies to :

65,536

[tex]\footnotesize\text{hope\:helpful~}[/tex]

!URGENT!
What is the equation of the line that contains the point (-5,-1) and had a slope of 4? Write in slope-intercept form.

Answers

Answer:

y=4x+19

Step-by-step explanation:

(-5,-1)

-1=4(-5)+b Multiply 4 and -5

-1=-20+b Add 20 to -1

19=b

b=19

The ratio of men to women working for a company is 4 to 5 . If there are 125 women working for the company, what is the total number of employees?

Answers

Answer:

225

Step-by-step explanation:

125/5=25

25x4=100 men

100men:125women = 4:5

100+125=225 total

You attend a working dinner with four other colleagues. Since alcohol
is not reimbursed by your company. your party receives two separate
bills: One for food ($156.65) and one for alcohol ($49.50). Each bill
needs to be split 5 ways.

How much do you owe for each bill?


$3.13 for food and $9.90 for alcohol
1.1
1.1
$31.33 for food and $0.99 for alcohol
1.1
$31.33 for food and $99.0 for alcohol
1.1
1.1
$31.33 for food and $9.90 for alcohol
1.1

Answers

Answer:

that is right because the bill is like a money service

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS IF YOU ANSWER WITH A LINK YOU WILL GET REPORTED!!!!!! AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

1,5

Step-by-step explanation:

The translation can be seen in one line. You can see one going up by 5 and going to the right (not left as that would make it -1,5).

Select the correct answer.
Which data set has the widest spread?
OA
data set A:3, 1, 2, 6, 7,2,5
O B. data set B: 4, 9, 4, 5, 3, 6, 8
Oc
data set C: 1, 4, 6, 5, 7, 8,5
data set D: 4, 3, 4, 7, 2, 3,1
data set E: 5, 1,4, 2, 6, 9,2

Answers

the answer is data set E: 1-9

What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,
12?
y=-5x+12
5x+y=12
y-12=5(x-0)
5x+y=-1
please...answer

Answers

Answer:

y=-5x+12


Step-by-step explanation:

just use a graphing calculator and basic knowledge of slope intercept form

If you solve this problem Thank you 0-0

Answers

Answer:

Part A: 1

Part B: 30

Step-by-step explanation:

First row contains the error

Correct no of apples should be 30

Suppose one bag contains 500 cubic inches of confetti. How many bags will Student Government need to fill 100 containers? If they need 100 containers, how many TOTAL cubic inches of confetti will they need?

type your answer...
cubic inches How many bags will they need if each bag contains 500 cubic inches of confetti? You cannot buy a partial bag of confetti.

type your answer...
bags

Answers

The number of bags that they will need if each bag contains 500 cubic inches of confetti is 20,000

How to find the total volume ?

One bag contains 500 cubic inches of confetti.

Therefore,

1 bag = 500 inches³

The student need to fill 100 containers with the bag.

Each container can accomodates 100,000 cubic inches.

Therefore,

1 bag = 500 inches³

100,000inches³ = 1 container = 200 bags

Therefore,  

100 containers will contain 20, 000 bags of confetti.

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find the number equivalent that makes the ratio equivalent to 1:4

Answers

Answer:28

Step-by-step explanation:

complete the ratio 7:__ so that is equivalent to 1;4 the second number is missing 7;__. So compare the first numberof the two ratios 1:4 7:__ to get 7 from 1 multiply by 7, 4x7=28 this means 7:28 are equivalent to 1:4

Find the length of a using
the Pythagorean Theorem.
B
8
a
C
A
6
Hint: a² + b² = c²
Round your answer to the nearest tenth

Answers

Answer:

8.3

Step-by-step explanation:

8 square = 6 square + x square

square them

64 = 36 + x square

minus 64 with 36

64 - 36 = 28

cancel the square with square root

x square = 28

square root of 28 is 5.3

5.3 x 5.3 = 28.09

hope this helped you!

[tex]\bold{ANSWER:}[/tex]
a = 5.3

[tex]\bold{EXPLANATIONS:}[/tex]

Mr. Whitman gave a test to his 32 math students. He felt the results were low, so he retested them one week later. The results of the original and retake test are shown below.
A. What is the difference in the median grade?
B. Compare the percent of students who got at least a 60 on the original test to those that got at least a 60 on the retake.
C. If the students need a 65 in order to pass the test, how many more passed the retake?

Answers

The number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

What is box and whiskers plot?

Box plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

A.The difference in the median grade-

The median of first test is 60 while the second test is 80. Thus, the difference is,

[tex]d=80-60\\d=20[/tex]

B. Compare the percent of students who got at least a 60 on the original test to those that got at least a 60 on the retake.

The student, who got at least 60 in first test, falls in the second half of the plot. Thus, the 50% of students got atleast 60% marks. In the retake test, all 100% student got at least 60 on test.

C. If the students need a 65 in order to pass the test, how many more passed the retake?

In the first test 1/4 are passed while in second test 3/4 students are passed and got the marks 65 or more than this, Thus the number of student pass more in this test,

[tex]n=(\dfrac{3}{4}-\dfrac{1}{2})\times 32\\n=8[/tex]

Thus, the number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

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What is "m= -2;( 7,-4 )" in slope intercept form?​

Answers

Answer:

y = -2x + 10

Step-by-step explanation:

What is the RANGE of the function shown in the graph?
A.
B.
C.
D.


Answers

Answer:

D

Step-by-step explanation:

you can see can graph intersects the y axis at -3 and it goes upward forever.So minimum for y is

-3 so it is -3<y<infinity.

A family of five went out to dinner at HogTastic Pit BBQ. They all ordered the buffet and drink at $12.80 each. They left a 15% gratuity for the waitress on the after-tax bill. Based on a tax rate of 7.5%, they ended up paying a total of $ blank

for dinner.

Answers

Answer: $79.12

Step-by-step explanation:

[tex]$$5 peopleeach order is worth \$12.80$$\begin{aligned}\therefore \text { Total bill } &=12.80 \times 5 \\&=64 \$\end{aligned}$$[/tex]

[tex]${Tax}: 7.5 \%$$\therefore$ Bill after tax$$\begin{aligned}&=64\left(\frac{100+7.5}{100}\right) \\&=64(1.075) \\&\text{Bill \ with \ tax}=68.8 \$$\end{aligned}$$[/tex]

[tex]$$Gratuity$=15 \%$ of bill with tax$$\begin{aligned}\therefore \text { Gratuity} &=0.15 \times 68.8 \\&=10.32 \$\end{aligned}$$$\therefore$ Ended up paying a total of $=68.8+10.32$$$\ \ \ \ \ \ \ \ \ \ =\$79.12 $$[/tex]

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