Find the discriminant and determine the number of real roots for each equation. Show steps.

-9x^2 + x - 7 = 0

Answers

Answer 1

Answer:

0 real roots

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

- 9x² + x - 7 = 0 ← is in standard form

with a = - 9, b = 1, c = - 7 , then

b² - 4ac = 1² - (4 × - 9 × - 7) = 1 - 252 = - 251

Since b² - 4ac < 0 then the equation has no real roots


Related Questions

An object with a mass of 5.0kg accelerates 8.0m/s2 when an unknown force is applied to what is the force?

Answers

Uhhh good question ion know

Answer:

The correct amount of force i believe is

f= 40 newton

i got the answer by using the formula below

force = mass x acceleration

f=5kg *8.0 m/s^2

Step-by-step explanation:

"Expand the brackets and simplify" (please i need help asap)​

Answers

ok, b)

you can times anything inside bracket by 8. so, 8r -40  + 12

You can simplify to 8r - 28.

d)

You can rearrange it to 6a + 12a -12/3 -15/3

= 18a - 27/3

A recipe for pizza sauce calls for 7 cans of tomatoes and 21 teaspoons of oregano. How many teaspoons of oregano would you need for a single can of tomatoes?

Answers

Answer:

3

Step-by-step explanation:

21 divided by 7 = 3

Answer:

21 divided by 7 = 3

Step-by-step explanation:

Find X. This is a 40°, 40°, 90° triangle.

Answers

Answer:

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.

Step-by-step explanation:

A boat can travel 128.8 miles on 16.1 gallons of gasoline. How far can it travel on 9.4 gallons?

Answers

128.8/16.1 = x/9.4
x= (128.8*9.4)/16.1
X=75.2
So the answer is 75.2

Complete the equation of the line through (2,-2) and (4,1).
Use exact numbers.
Y=

Answers

Answer:

y=(3/2)x-5

Step-by-step explanation:

1=4k+b, -2=2k+b

b=1-4k, b=-2-2k

1-4k=-2-2k

k=3/2

1=4k+b

1=4(3/2)+b

b=-5

y=(3/2)x-5

Brillianst!!!!!!!please!!!!!!!

Answer:

y=(3/2)x-5

Step-by-step explanation:

solve: 3x + 4y=1
Show steps

Answers

how am i solving this , am i solving it for the y?

Answer:      x = -4y + 1

                           3     3

Step-by-step explanation:

3x + 4y = 1

3x + 4y + -4y = 1 + -4y

3x      -4y + 1

3  =         3

   x = -4y + 1

           3      3

What is the area of the right trapezoid?
A) 28 square inches
B) 35 square inches
C) 56 square inches
D) 70 square inches

Answers

Answer:

c

Step-by-step explanation:

because are of trapizium =( a+b/2) × h

The area of a rectangle is 35x - 20. Find the length and width of the triangle. (Hint: Factor completely) Write your answer as a product. Ex: 8(3x-2).

Answers

Answer should be 5(7x-4)
I factored out the greatest common factor which is 5.

(PLEASE HELP) What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x = 12

Step-by-step explanation:

(10x - 20)° + (6x + 8)°= 180°

(Linear pair angles)

(10x - 20 + 6x + 8)°= 180°

(16x - 12)°= 180°

16x - 12 = 180

16x = 180 + 12

16x = 192

x = 192/16

x = 12

Answer:

so x would equal 12

Step-by-step explanation:

(10x - 20)° + (6x + 8)°= 180°

so you are going to want to combine like terms which would be

10x and 6x, and 20,8

10x+6x=16x

20-8=12

16x-12=180

now you want to get 12 on the opposite side of the equal side so you add (since it is negative) 12 to each side

which gets rid of the first 12

16x=180+12

now you can add 180+12

and you get 192

so now we want to get x by itself in order to do that you must divide

you are going to divide by 16 an each side and the 16 cancels out the first 16

16x/16=192/16

x=192/16

and 192 divided by 16 is 12

so you answer is

x=12

Hope this made sense :)

Help needed on this question

Answers

Hope this helps!
I’ve attached a photo

The point slope form of the equaton of the line that passes through (-9, -2) and (1, 3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line?

Answers

Answer: y=1/2x+5/2

Step-by-step explanation:

y-3=1/2 (x-1)

y-3(-3)=1/2x-1/2(+3)

y=1/2x-1/2+6/2

y=1/2x+5/2

hope this helped!!

help me pls i’ll give you brainliest

Answers

Answer:c.1/4^3

d.(1/4)(1/4)(1/4)

Step-by-step explanation:

Only those 2 opinions are equal to 4^-3. You can check this by plugging in the calculator those 2 answers and 4^-3 and getting approximately 0.0156

Answer:

Step-by-step explanation:

The previous owner of Ahmed's new sail boat recalled that the area of sail B was 108 square feet. What is the length of the base of sail B? Use the image below.

Answers

Answer:

81 ft

Step-by-step explanation:

Given U = { a,b,c,d,e,f,g,h,i} P = {a,e,i} and Q = { b, a, g} List the elements of P' *

1 point

{b,c,d,f,g,h}

{a,e,i}

{b,a,g}

{a,b,c,d,e,f,g,h,i}

If A = { 1,2,3} and B = {2,1,3} . A and B are said to be *

1 point

equal sets

equivalent sets

empty set

finite sets

P = { 2,4,6,8} and Q = { a,b,c,d} . Will P =Q *

1 point

True

False

T={ colours of the rainbow} This an example of *

1 point

Choose

B = set of letters in the word ENGLISH. then n(B) = *

1 point

6

7

5

8

What type of set is shown in the diagram below? *

1 point



equal

disjoint

equivalent

infinite

R = { cars that fly}. R is an _____________ set *

1 point

empty

equivalent

equal

infinite

If P={m,n,l,} determine the number of subsets that can be formed from P *

1 point

4

12

8

16

Convert 17/3 to a mixed number *

2 points

5 2/3

10/3

3 1/3

51/3

48/60 reduced to its lowest term = *

2 points

12/15

4/5

10/14

3/4

Name the angles below in the order given *

3 points



right, acute, reflex

acute, right, obtuse

reflex, straight, full

obtuse, right, acute

What is the size of the missing angle? *

2 points



90

220

140

100

What is the size of y? *

2 points



115

245

295

65

What type of triangle is shown below? *

1 point



Equilateral

Isosceles

Right angled

Scalene

Calculate the value of x *

3 points



65

245

112

133

Calculate the value of x *

3 points



112

22

158

180

What is the value of e? *

3 points



65

130

50

100

A quadrilateral with two pairs of parallel sides and all angles equal is called a _____________ *

1 point

parallelogram

rectangle

trapezium

kite

*

3 points



75

100

260

50

*

3 points



129

309

160

51

*

3 points



120

128

52

90​

Answers

Step-by-step explanation:

Given U = { a,b,c,d,e,f,g,h,i} P = {a,e,i} and Q = { b, a, g} List the elements of P' *

1 point

{b,c,d,f,g,h}

{a,e,i}

{b,a,g}

{a,b,c,d,e,f,g,h,i}

since P and Q share the same letter you're putting “A” in the middle where the two intersect. since U have B and Q have b we're putting it outside. so Q only supposed to have G. P is empty and U now have B,C,D,F,H.

p^1- p complement means everything outside of P so that will be b,c,d,f,g,h.

There were 30 pairs of jeans on sale for 2/3 of the regular price.
The regular price was $36. What was the sale price?

Answers

Answer : $36

Explanation:

To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.

25% = 25/100

25100=x48

14=x48

(1) * (48) = (4) * (x)

48 = 4x

(48)/4 = (4x)/4

12 = x

The discount is $12.

$48 – $12 = $36

Is the temperature measured in Celsius proportional to the temperature measured in Fahrenheit?

Answers

Answer:

The relationship between Fahrenheit and Celsius is directly proportional

The relationship between Celsius and Fahrenheit demonstrates that the two units are directly proportional to one another.

Is there a proportional link between the temperature scales?

No. because the ratio is different (no constant of proportionality). The relationship between Celsius and Fahrenheit demonstrates that the two units are directly proportionate to one another. It suggests that as the temperature rises on the Celsius scale, the temperature rises as well on the Fahrenheit scale. Fahrenheit and Celsius have a proportionate relationship. Both follow the various unit differences between each scale and have varying water freezing points. There is one place where the Fahrenheit and Celsius scales meet. At both -40 °C and -40 °F, they are equal. To determine when two temperature scales are equal to one another, the straightforward technique is to set the

To learn more about temperature measured  refer to

https://brainly.com/question/22013778

#SPJ2

i need this
ctugkvhjkibnlbk;vhiglcufxoryifcuglvihk;b j;hviglucforxiy6eryfcuglvhk

Answers

Answer:

11(7 + 4) = 11 × 7 + 11 × 4

Step-by-step explanation:

11(7 + 4) = _ x 7 + 11 x _

use distributive property:

11(7 + 4) = 7 x 11 + 7 x 11

Answer:

11 * 7 + 11 * 4

Step-by-step explanation:

given 11(7+4)

we need to use distributive property

To do so we multiply 11 by whats inside of the parenthesis

so 11(7+4) is equivalent to 11 * 7 + 11 * 4

A model car has a length of 7.25 inches. The actual car is 14.5 feet long. What is the scale of the model car?

Answers

Answer:

1:24

Step-by-step explanation:

Convert inches to feet, 7.25 inches is 0.604 feet.

0.604:14.5 needs to become 1:something, so set up 0.604/14.5 = 1/x

Solve for x now by dividing 14.5 by 0.604. You get 24 for x, so the answer is 1:24 scale!

i need help telling if these are true or false

Answers

Answers:

FalseTrueFalseTrue

======================================================

Explanations:

Point A is located at (0,1). It then moves to A' which is at (0,3). Note the y coordinate goes from y = 1 to y = 3, so the scale factor is 3/1 = 3 instead of 4. Therefore, the claim is false.Point A is at (-4,4). It moves to (-2,2). Each coordinate of (-4,4) is cut in half to get (-2,2). Cutting a value in half is the same as multiplying by 0.5, so point A fits the description. Let's find out if point B does as well. B is at (2,4) and it moves to B' (1,2); we can see that point B has its coordinates cut in half as well. Points C and D also work to fit the description (I'll let you check those coordinates) which means overall, quadrilateral ABCD dilates with a scale factor of 0.5 to get to quadrilateral A'B'C'D'. The answer here is "true".Point W is at the location (-1,1). Triple each coordinate to get (-3,3) which is where point W' should be located if we applied the dilation of scale factor 3. However, the diagram shows W' is not at (-3,3). It seems to be fairly close to (-2,2) if anything. We don't need to check the other points, but I recommend you do so just for practice. The answer here is "false".Because the scale factor is 0.25 = 1/4, this means "scale factor of 0.25" is the same as "scale factor of 1/4". That tells us to "multiply each coordinate by 1/4" which in turn is equivalent to "divide each coordinate by 4". Point E is at (-4,4) which moves to (-1,1) when we divide each coordinate by 4. Note how point E' is at (-1,1). So E moves in the proper way according to the instructions given to us. Points M, W and O also move in a similar fashion after we divide their coordinates by 4. The answer here is "true".

Somebody help me ASAP noww

Answers

Answer:

65

Step-by-step explanation:

That is a 180 split so 180-115=65

What would the cross sections be of a triangular prism cut diagonally NOT through the base?
A circle

B ellipse

C rectangle

D square

E trapezoid

F triangle

Answers

Answer:it might be (F)

Step-by-step explanation:

Tell me if I’m right or wrong

find the value of each variables​

Answers

Answer:

Step-by-step explanation:

Two similar triangles.

10/26 = y/13

y = 5

x² = 13² - y² = 144

x = 12

lowest common factor of 36 and 56??? ​

Answers

Answer:

the lowest common factor of 36 and 56 is 1

you can also have 2,4

A teacher bought pencils for $14.99, but she knows the store bought them for $8.50. What is the percent markup to the nearest whole?

Answers

Answer:

43% markup.

Step-by-step explanation:

Given: Quadrilateral ABCD is a kite. Prove: ΔAED ≅ ΔCED Kite A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point E. It is given that quadrilateral ABCD is a kite. We know that AD ≅ CD by the definition of . By the kite diagonal theorem, AC is to BD This means that angles AED and CED are right angles. We also see that ED ≅ ED by the property. Therefore, we have that ΔAED ≅ ΔCED by .

Answers

Answer:

1. kite 2. perpendiclular 3. reflective 4. HL

Step-by-step explanation:

I hope this helps :)

Answer:

We know that AD ≅ CD by the definition of kite. By the kite diagonal theorem, AC is perpendicular to BD. This means that angles AED and CED are right angles. We also see that ED ≅ ED by the reflexive property. Therefore, we have that ΔAED ≅ ΔCED by HL.

Step-by-step explanation:

We know that AD ≅ CD by the definition of kite.

- adjacent sides in a kite are congruent

By the kite diagonal theorem, AC is perpendicular to BD.

- the kite diagonal theorem states that diagonals of a kite form right angles because they are perpendicular to each other.

We also see that ED ≅ ED by the reflexive property.

- any side or angle congruent to itself is identified by the reflexive property

Therefore, we have that ΔAED ≅ ΔCED by HL.

- the triangles formed are all right triangles, so we can they that the two triangles are congruent to each other by the Hypotenuse Leg theorem.

Determine if the triangles are similar. If yes, write a similarity statement and give the scale factor. if NO explain why the triangles are not similar.​

Answers

These triangles are similar because
they both have right triangles with a 90 degree angle

PLEASE PLEASE HELP ME

Answers

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  (B)

Step-by-step explanation:

x is on the left side of the < symbol, so the shaded portion of the line will be on the left side of the boundary dot.

The boundary dot is plotted at the constant, which is 1/2 = 2/4. That plot is shown in selection B.

_____

Additional comment

I like to write inequality solutions using the < or ≤ symbols because the relative positions of numbers and variables match their relative positions on the number line. In this problem, we have x < 1/2, so the shaded portion of the line is on the left of the boundary dot, just as x is on the left of 1/2 in the inequality.

is 21:10 equivalent to 7:5

Answers

no it is not equal. its because you are multiplying one by 3 and the other by 2. you have to multiply them by the same number for them to be equal

Please help

Please

Which 2 segment are parallel?

Please

Answers

Answer:

E and D

Step-by-step explanation:

The answer is segment EB is parallel to FA. You can tell because hey have an same number of arrows on their lines going in the same direction, meaning they’re parallel.
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