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

the diagram below shows the tile border shown in gray that surrounds a kiddie pool how many square feet does the tile border cover​

Answers

Answer:

72 square feet.

Step-by-step explanation:

You could do this by figuring out directly how many tiles are needed to make the border B...

It is easier to find the area of the large area and subtract the white pool

Large rectangle = 18 * 9 = 162

Small rectangle = 15 * 6 = 90       Subtract

Area of border =               72

Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit. Which measurement is in ounces, and which is in grams? 6__________170______

Answers

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit.

6__________ = 170______

To find:

The correct units from grams and ounces for these blanks.

Solution:

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

C. Use the activity series of metals to predict the products of the following single-replacement
reaction. Explain your answer. (1 point)
NiCl2 + Fe →

Answers

Answer: NiCl2 + Fe

Iron is above nickel in the activity series, so iron will replace nickel like this:

NiCl2 + Fe → FeCl2 + Ni

Cu(OH)2 is insoluble, so it will form a precipitate.

Step-by-step explanation:

hope this helps =)

Plzzz help. No wrong answers plss. I'm giving everything. Brainlist, thanks, and more.

Answers

I think it is D hope it helps

DOES ANYONE KNOW THIS?!! I need an answer fast

Answers

about 30%. hope this helps :)

What is 0.76 as a fraction ?
76/100
76/10
76/1000
7/6

Answers

The percentage 0.76 when convert to fraction is: 76/100.

Conversion of percentage into quotient

0.76 is a percentage which represent 76% when multiply by 100 calculated as:

0.76×100

=76%

Now 0.76 as a fraction or quotient will be 76/100 in which the numerator is 76 and the denominator is 100 and when you divide 76 by 100 we would arrive at 0.76.

Inconclusion 0.76 as a fraction is: 76/100.

Learn more about fraction here:https://brainly.com/question/1713644

Find the slope of the
given graph.

Answers

Answer:

X=-4

Step-by-step explanation:

No y value so just count ur x value

heeeeeeeeeeeeeelp
Please help!​

Answers

Answer:x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Since it's a equilateral triangle, all sides are equal

So you can do the equation 3x - 1 = 11

You then add 1 on both sides, leaving the equation as 3x = 12

You divide both sides by 3, which leaves you with x = 4

Write the equation of the line that passes through the given points
(0,2)) and (-9, -3)

Answers

Step-by-step explanation:

Y= m x+ C

m (slope ) = 2 - (_3) / 0 _( - 9 )

= 5 / 9

( O, 2 ) Satisfying equation

2= 5/9 ( 0) + C

C= 2

So eq. is

y= 5/ 9 X + 2

( - 8)( - 4)(12)

I need help with this :)

Answers

Answer:

= 384

Step-by-step explanation:

(-8)(-4)(12)

= (32)(12)

=384

Answer:

384

Step-by-step explanation:

What is 5/8 ÷ 3/4 I need to know this please hurry

Answers

Answer:

5/6

Step-by-step explanation:

i used a caculater

BRAINLIEST PLEASE

An science teacher had 3/4 gallons of a chemical to pour into containers. If he poured 1/7 gallon into each container until he ran out of paint, how many containers had chemical in them, including the one that was partially filled?

Answers

Answer:

5 1/4 containers

Step-by-step explanation:

Let's call this chemical, chemical x, because memoriesSo Mr. Scientist has [tex]\frac{3}{4}[/tex] gallons of chemical xSo how many times does 1/7 gallons divide 3/4 gallons ? That's [tex]\frac{3}{4} \div \frac{1}{7} = 5 \frac{1}{4}[/tex] So only 5 and a quarter containers have chemical. The one that was partially filled is either empty or is one of the 5 1/4 containers with chemical x in it

A function has a constant doubling time. What type of function does this represent?
A. Decreasing linear
B. Exponential decay
C. Exponentia growth
D. Increasing linear

Answers

C. Exponential growth :)

Answer:

C. Exponential growth

Step-by-step explanation:

9-3/1/3+1
Please solve​

Answers

Answer:

20/3 or 6 2/3

Step-by-step explanation:

Hope this helps :)

Answer:

9

Step-by-step explanation:

A total of $10,000 is invested at an annual interest rate of 3%. Find the balance after 5
years if the interest is compounded a) quarterly and b) continuously.

Answers

Answer:

Step-by-step explanation:

We will need 2 different equations for this problem. For compounding a certain number of times a year, the formula is

[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] so let's do that first. Filling in we get

[tex]A(t)=10000(1+\frac{.03}{4})^{(4)(5)[/tex] and simplifying a bit gives us

[tex]A(t)=10000(1+.0075)^{20}[/tex] and a bit more,

[tex]A(t)=10000(1.0075)^{20}[/tex] and then

A(t) = 10000(1.161184142) so

A(t) = 11611.84

Then for the compounding continuously, the formula is

[tex]A(t)=Pe^{rt[/tex]

[tex]A(t)=10000e^{(.03)(5)}[/tex] and simplify a bit to\

[tex]A(t)=10000e^{.15}[/tex] Now raise e to the power of .15 on your calculator to get

A(t) = 10000(1.161834243) so

A(t) = 11618.34

Not too much of a difference between the 2 values at the end.

Write an expression to represent a number plus 4.

Answers

Answer:

n + 4

Step-by-step explanation:

n represent the number we are adding to 4 obviously

And 4 is 4 obviously

Hope this helps!

t-4 . that's so easy !

Help please!!!! 8. 9. And 10.

Answers

Answer:

9 is 3rd -- 8 is last -- 10 is first --

Step-by-step explanation:

***If this answer Helped you out please press the heart Icon, also It would be nice if you made me brainliest. Enjoy Your Day!***

Joe would have earned $504 for working a 42 hour week but he was sick and missed 4 hours. How much did he earn?

Answers

Answer: $456

Step-by-step explanation:

$504/42 hr = 12 per hour

4 hours = $48

$504 - $48 =

= $456

Answer:

He earned $456

Step-by-step explanation:

504/42=12

42-4=38

38*12=456

Good Luck!!!!

Alexander is a stockbroker. He eams 11% commission each week Last week, he
sold $7,100 worth of stocks. How much did he make last week in commission? The averages that
same amount each week, how much did he make in commission in 2011

Answers

(A): 825

(B): 42,900

A.) is definitely 825 and B.)42,900 I got it right

A solution contains 11 pints of antifreeze and seven pints of water . How many pints Of water must be added to 77 pints Of antifreeze to get a solution with the same concentration.

Please help me with question I don’t get it.

Answers

Answer:

49 pints of water

Step-by-step explanation:

that's the answer to the question

Answer: 49 pints

Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.

Ray earns $15 an hour for up to 40 hours a week. If he works more than 40 hours a week, he is paid time and a half. That means Ray is paid 150% of his hourly wage for every hour he works over his normal 40 hour work week. How much would Ray's paycheck be if he works 46 hours in one week?

Answers

Answer:

$735

Step-by-step explanation:

40 hours x $15 per hour = $600

6 hours x $22.50 = $135

Add both dollar amounts together

The regular price of a pair of sneakers is $80. They are on sale now for $50. What is the percent decrease in the price of sneakers?

Answers

9514 1404 393

Answer:

  37.5% decrease

Step-by-step explanation:

The percentage change is given by the formula ...

  pct change = ((new price) -(original price))/(original price) × 100%

  = (50 -80)/80 × 100%

  = -3/8 × 100% = -37.5%

The negative sign indicates a decrease.

The decrease in price is 37.5%.

A chocolate maker melts three blocks of chocolate weighing 5.4 ounces, 6.1 ounces, and 5.7 ounces. If
each truffle takes 0.4 ounces of chocolate, how many truffles can he make?
O A 41
OB. 42
OC. 43
O D. 44

Answers

Answer:

43 truffles

Step-by-step explanation:

                       First add all of the weights together

5.4+6.1+5.7=17.2

                      Divide the total chocolate by the weight of a truffle

17.2/0.4=43

Answer:

43

Step-by-step explanation:

please help ASAP [IMAGE]

Answers

Answer:

y is equal to negative 2 x plus five

Donald spent half as much as Patricia did on presents this year, and Carl spent 3 times more than Donald. If the total spent between the three of them was $72, how much did they each spend on presents this year?

Answers

Answer:

Patricia spent $24 on presents, while Donald spent $12 and Carl spent $36.

Step-by-step explanation:

The problem is to solve how much money each person spent on presents in the year, through a series of equivalences. In order to determine how much money each one spent, the following equation must be proposed:

Patricia = X

Donald = 1 / 2X

Carl = 3/2 X

X + 1 / 2X + 3 / 2X = 72

1X + 0.5 X + 1.5 X = 72

3X = 72

X = 72/3

X = 24

Thus, Patricia spent $ 24 on presents, while Donald spent $ 12 (2/24) and Carl spent $ 36 (1.5 x 24).

4(5a + 3) = 20a + 12 represent which property of multiplication?

Answers

Answer:

Distributive property of multiplication

Step-by-step explanation:

The distributive property of multiplication is basically distributing the terms outside the bracket to all the terms inside the bracket. In this case, 4 is multiplied to 5a as well as 3.

PLESSS SOMEONE KNOW THIS

Answers

Answer:

D.

Step-by-step explanation:

Order of operation states that in order for the addition to be done first, it must be in a set of parenthesis. Then, 4 multiplied by the sum would mean the addition has to be done first. so, yeah.

Don't know if that helps. I hope it does. Have a great day

What is the relationship between the area of a triangle and the area of a rectangle?

Answers

let area of triangle be x

let area of rectangle be y

Then,

2x = y

The area of a triangle is found by using the same equation as finding the area of a rectangle just it is divided into 2


14 The graph of a linear function has a y-intercept of 5 and passes through
the point (2,5). What is the slope of the graph of the function?
A. 0
B. 2/5
C. 2.
D. 5/2

Answers

0 if the slope doesn’t decrease or increase, it is 0

Answer:

(-2,5) is vertex ; y-intercept (0,5) but the y-intercept is actually (0,-7).

Step-by-step explanation:

The vertex form of a quadratic is  where the vertex is (h,k). Here h=-2 and k=5. So the vertex is (-2,5).

hope this helped and sorry if it didn't

What is the x-coordinate of point D? Write the coordinate as a decimal.​

Answers

Answer:

2.5

Step-by-step explanation:

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