1. How many real solutions does the quadratic equation x?+9x= -8 have?​

Answers

Answer 1

Answer:

This quadratic equation has 2 solutions.

Step-by-step explanation:

I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.

We can solve this equation by expressing it in the form: ax² + bx + c

x² + 9x= -8

x² + 9x + 8 = 0

Now if you know the discriminant, you can simply plug in your values of a, b, and c to see how many solutions there are.

In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.

x² + 9x + 8 = 0

(x + 8)(x + 1) = 0

For this equation to be true (= 0), x can equal -8 OR -1.

Hence, this quadratic equation has 2 solutions.


Related Questions

There was a study done on oxygen consumption of snails as a function of pH, and the result was a degree 4 polynomial whose graph is shown.

Which of the following statements about this function is INCORRECT?​

Answers

Answer:

A. There is a positive leading coefficient

Step-by-step explanation:

Polynomials can be represented as an equation or graphs.

The incorrect option is: (b) There is a positive leading coefficient.

The polynomial has a degree of 4; this means that the degree of the polynomial is even.

So option (a) The degree of the polynomial is even is true

From the graph, we can see that the function decreases at (7<x<8) and (9<x<10)

This means that, the function decreases at two intervals

So option (d) There are two intervals where the function is decreasing is also true

Also, the function is at maximum at x = 7 and x = 9.

This means that:

Option (c) At two pH values, there is a relative maximum value

Hence, the incorrect option is:

(b) There is a positive leading coefficient.

This is so because, the graph decreases at some points on the graph.

This means that, the graph has a negative leading coefficient.

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Find the value of x in the
following parallelogram:
2x
х
х
2x

Answers

Answer:

60°

Step-by-step explanation:

The sum of the angles in any quadrilateral is 360°. In a parallelogram the sum of neighboring angles is 180°. Therefore:

2x + x = 180°

3x = 180°

x = 60°

The  value of x is 60.

What is properties of parallelogram?Parallel sides define an object.Congruent opposites are present.Angles at opposites are congruent.Consecutive angles on the same side called supplementary angles.A parallelogram is divided into two congruent triangles by each of its diagonals.A parallelogram's diagonals cut each other in half.

Given:

Angles x, x, 2x, 2x.

Using the property of parallelogram, the adjacent angles of parallelogram sum to 180.

x+ 2x= 180

3x= 180

x= 180/3

x= 60

Hence, the value of x is 60.

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SOMEONE, PLEASE HELP LITERALLY STRUGGLING!!!!!!
Circle 1 represents students involved with drama after school, circle 2 represents students involved in sports, and circle 3 represents students in academic club activities. What can you conclude about students who fit in region B?

A.
Region B represents the students involved in sports only.
B.
Region B represents the students involved in sports and academic clubs.
C.
Region B represents the students involved in drama and sports.
D.
Region B represents the students not involved in academic clubs.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

i think it is A . hope it helps

what is the area of a rectangle with a length of 142 cm and a width of 23 cm?

Answers

Answer:

3,266

Step-by-step explanation:

Answer:

3266cm²

Step-by-step explanation:

try it it healps

LOOK AT THE PICTURE TO ANSWER

Answers

I think it’s 15 I’m not sure tho
D) -65
Hope this helps

- 4(6 + 5g) equivalent expressions

Answers

Answer:

the awnser is 4g because if you multiply the -4 by 6 and 5 g you get the equation: -24+-20g.. subtract -24 from -20 you will get 4g

Fill in the blank with the correct constant of proportionality. Pounds of Bananas Cost ($) 2, 2.50, 3, 3.75, 5, 6.25, 7, 8.75 The constant of proportionality is​

Answers

Answer:

it will go up 1 dollar now i had to do it in my head

Step-by-step explanation:

mabey if im wrong sorry

Q#2 Pleaseeee answer my guy it’s literally the biggest grade I got and I’m tiredddd

Answers

Answer:

Add 3 to both sides.

2x=9+3

simplify 9+3 to 12

2x=12

Divide both sides by 12

x= 12

     2

simplify

x=12

Pete has 4 packs of gum balls. Each pack has 5 gum balls. If Pete gives the same number of gum balls to 6 friends, how many gum balls will each friend get?
2
3
4
5

Answers

Answer:

I would say 3

Step-by-step explanation:

what is the LCD of 1/3 and 1/4​

Answers

I think it’s 12

1/3 = 4/12
1/4 = 3/12

Hope it’s correct

**PLEASE HELP**
Find the equation, f(x)=a(x-h)^2+k, for a parabola that passes through the point (0,0) and has a (-3,-6) as its vertex. What is the standard form of the equation?

A.) The vertex form of the equation is f(x)= - 2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.

B.) The vertex form of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)+-2/3x^2-4x.

C.) The vertex form of the equation is f(x)= - 2/3(x-3)^2-6. The standard form of the equation is f(x)=2/3x^2-4x.

D.) The vertex of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.

Answers

Answer:

D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].

Step-by-step explanation:

Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).

If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:

[tex]a\cdot (0+3)^{2}-6 = 0[/tex]

And the value of [tex]a[/tex] is:

[tex]9\cdot a - 6 = 0[/tex]

[tex]a = \frac{2}{3}[/tex]

And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].

Lastly, the standard form of the equation is found by algebraic means:

[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]

[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]

The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].  

In consequence, the right answer is D.

f(x) = 2(x – 1)– 5 and g(x) = – 2x + 1 , determine the x-values of the points of intersection.

Answers

Answer:

             x = 2

Step-by-step explanation:

These are equations of lines with different slopes, so there is only one point of their intersect.

The point of intersect is where f(x) = g(x).

2(x - 1) - 5 = - 2x + 1

 +2x            +2x

2x - 2 - 5 + 2x = 1

       +7               +7

          4x = 8

        ÷4     ÷4

          x = 2

Answer: x = 2

Explanation:

From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!

Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.

Graph a line through (2,-5) and have a slope of -4

Answers

im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?

help me.............​

Answers

Answer:

is there a right angle?

Step-by-step explanation:

2u = u + 43

u = 43?

According to the graph below, what percent of the Simpsons’ annual expenses is Federal taxes? A circle graph titled Simpson's Annual Expenses. Federal taxes, 24 percent; State/local taxes, 10 percent; Housing and household, 23 percent; Food, 6 percent; Medical care, 8 percent; Transportation, 11 percent; Recreation, 3 percent; Clothing, 5 percent; Other, 10 percent. a. 10% b. 14% c. 24% d. 34%

Answers

According to the graph, the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%

What is a circle graph?

A circle graph also known as pie chart has a shape of a circle and each section are represented in percentages or degrees

From the question, we have:

Federal taxes = 24%State/local taxes = 10%Housing and household = 23%;Food = 6%Medical care = 8%Transportation = 11%Recreation = 3%Clothing = 5%Other = 10%

The above means that the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%

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Answer:

10%

Step-by-step explanation:

HELP! It's really easy! It's due really soon but I have other assignments I need to get done... Please and thanks!

Answers

Answer:

35.235

5.62

23,845.05

0.727

22.325

Step-by-step explanation:

Answer:

35.235, 5.62, 23845.05, 0.727, 22.325.

Step-by-step explanation:

hope this helps! pls give brainliest!

Student #1:

6(x - 0.5) > 3
6x - 3 > 3
6x > 0
x > 0


Solved the inequality incorrectly but graphed their solution correctly.
Solved the inequality correctly and graphed their solution correctly.
Solved the inequality correctly but graphed their solution incorrectly.
Solved the inequality incorrectly and graphed their solution incorrectly.

Answers

Answer:

D, both incorrect

Step-by-step explanation:

Answer:

Student #1:

6(x - 0.5) > 3

6x - 3 > 3

6x > 0

x > 0

2) Solved the inequality correctly and graphed their solution correctly.

Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same? Yoga studio A (Membership: $22.50 and monthly: $24.50) Yoga studio B (Membership: $47.00 and monthly: $18.25)

PLEASE ANSWER ASAP FOR 35 POINTS :)

Answers

Answer:

4 months

Step-by-step explanation:

Answer:

4 months

Step-by-step explanation:

What is the range of fx) = 3^x

Answers

Answer: For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. The same applies to the vertical extent of the graph, so the domain and range include all real numbers.

Step-by-step explanation:

2 Vishal is training for a race. His goal is to run 5.5 miles over three days. The distances he ran each day are shown in the table.​

Answers

Answer:

Which table?

Step-by-step explanation:

Answer:

I know this is old but here is the answer bc I had this test

Step-by-step explanation:

1. he ran 5.478 in total

2. he ran 0.022 more than his goal.

Vishal ran a total of 5.478 miles. The distance he ran over the three days is greater than his goal by 0.022 miles.


Roy works at the local grocery store and is paid $6.00 per hour. The
graph shown describes his salary, s, based on the number of hours, the
works.
S
19
18
17
16
15
14
18
12.
11
10
I
8
7
6
5
4
3
2
1
0
1 2 3 4 5 6 7 8
Which is an equation of the graph shown?
OA:
S=6+t
B:
S = 60
S
OD:
Mark Question For Review

Answers

Answer:

S=6t

Step-by-step explanation:

6 dollars per hour

A pet store sells dog treats and the prices are represented
in the graph
X = number of treats
y = cost (in dollars)
Select the true statement.
Select one
Each treat costs $0.50
Each treat costs $3
Each treat costs $2
Each treat costs 51

Answers

Answer: 1$

Step-by-step explanation:

PLEASE HELP ME 20 POINTS

Answers

Answer:

500

Step-by-step explanation:

6) Choose which postulate proves the triangles congruent.

Answers

Answer:

SAS(Side.Angle.Side

Step-by-step explanation:

since x is mid point of pr and qs so px=xr and x is midpoint of qs so qx=sx,

and two lines intercept so angles made on point x are equal.....hence 2 sides and one angle proved so triangles are equal

The postulate that can be used to prove that triangle QXP and triangle SXR are congruent to each other is: SAS Congruence Theorem,

Recall:

Two triangles are congruent by the Side-Angle-Side Congruence Theorem, if two sides and one included angle of one triangle are congruent to two sides and the corresponding included angle in the other triangle.

Since X is a midpoint of QS and RP, therefore:

[tex]PX \cong RX\\\\QX \cong SX\\[/tex]

Also,

<PXQ = <SXR (vertical angles are congruent)

Thus, triangle QXP and triangle SXR are congruent by SAS.

Therefore, the postulate that can be used to prove that triangle QXP and triangle SXR are congruent to each other is: SAS Congruence Theorem,

Learn more here:

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hey , can you help me with this thanks !!

Answers

Answer:

16

Step-by-step explanation:

the sides may not seem to help but it dose go to the other side and try to meser it it would be 4. add 8+4+4 or 8+8=16

Answer:

18.6cm (rounded to 3 s.f.)  

Step-by-step explanation:

You can actually figure out the two bases of the triangles based on the Pythagoras theorem where the slant length of a 90° triangle is [tex]\sqrt{a^{2} + b^{2} }[/tex] where a is one of the bases and b is the other length that is 90° perpendicular to a.

So this means:

[tex]\sqrt{6^{2} + base^{2} }[/tex] = 8cm

6² + base² = 64cm

36 + base² = 64

base² = 64-36

          = 28

base = [tex]\sqrt{28}[/tex]

        ≈ 5.2915 (5 s.f.)

So the two bases are roughly 5.2915, and the middle base is part of a rectangle, so it has the same length as the rectangle's length, which is 8cm.

Thus, x = 5.2915 + 5.2915 + 8

            = 18.6cm (rounded to 3 s.f.)  

When Daria gets to school, the temperature is 5.7°F. The temperature changes
by -9.5°F by the time she goes to bed. What is the temperature when Daria goes
to bed? Show your work.

Answers

Answer:

-3.8

Step-by-step explanation:

The temperature when Daria goes to bed was -3.8° F.

What is subtraction?

To subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.

Given that, When Daria gets to school, the temperature is 5.7 °F. The temperature changes by -9.5 °F by the time she goes to bed.

5.7 - 9.8 = -3.8

Hence, The temperature when Daria goes to bed was -3.8° F.

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What is the difference between heat and temperature?



How does a thermometer measure temperature?



When, if at all, does heat transfer stop?



Exit Ticket
What type of heat transfer occurs when eggs fry in a pan?



What type of heat transfer occurs when you roast a marshmallow by holding it over a campfire?


What type of food in which convection helps the cooking process? Explain your answer



When you touch a picnic table, your hand gets warmer. Explain how energy conservation applies to this situation
please answer these i give brainliest

Answers

Answer:

heat is hot and tempture is all

what is 42/18 written as a mixed number?

Answers

Step-by-step explanation: 2 1/3

at the zoo,the ratio of monkeys to gorillas is 5:1​

Answers

Answer:

thats a statement

Step-by-step explanation:

Solve this equation 5x -7 = -12

Answers

Answer:

The answer is x = -1

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

5x-7=-12

5x=-5

x=-1

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