How many solutions does x²+3x=3 have?

Answers

Answer 1

Answer:

2 (real) solutions.

Step-by-step explanation:

A quadratic always has two solutions, whether they are real or complex.

Sometimes the solution is complex, involving complex numbers (2 complex), sometimes they are real and distinct (2 real), and sometimes they are real and coincident (still two real, but they are the same).

In the case of

x^2+3x = 3, or

x² + 3x -3 = 0

we apply the quadratic formula to get

x =  (-3 +/- sqrt(3^2+4(1)(3))/2

to give the two solutions

{(sqrt(21)-3)/2, -(sqrt(21)+3)/2,}

both of which are real.


Related Questions

I need help in this question please !​

Answers

The answer would be 100/101 if we follow according to the rule on which the sequence is based on!

Answer:

100/101 these will be the answer when we go according to the steps

Pam has 228 ounces of lemonade. She pours the lemonade into
8-ounce cups, filling as many as she can until all the lemonade is
gone. The last cup is not completely full. How much lemonade is
in the last cup?

Answers

Answer:

4 ounces

Step-by-step explanation:

If you divide 228 by 8, you will get 28.5. The 0.5 into a fraction would be 1/2. Half of 8 would be 4. In the end, there should be 28 full 8-ounce cups and one cup with 4 ounces.

a number plus three and seven-tenths

Write as an algebraic expression

Answers

Answer:

x + 3 7/10

Step-by-step explanation:

X represents the unknown number

which point is exterior to APD

Answers

Point E is exterior to APD

Answer:

Angle APE is exterior to APD

because it's outside angle APD

Find the center and radius of the circle whose equation is x 2 + y 2 - 6x - 2y + 4 = 0
(3,1), r = /6
(-3,-1), r = /6
(3,1) r = 6
(9,1), r = 36

Answers

Answer:

Solution given:

the equation of a circle is:

x²+y²-6x-2y+4=0

x²-2*x*3+3²+y²-2y+1²-1²+4=0

(x-3)²+(y-1)²=9+1-4

(x-3)²+(y-1)²=6

comparing above equation with

(a-h)²+(y-k)²=r²

we get

centre (h,k)=(3,1)

radius=√6

option first

(3,1), r = 6 is a required answer.

Answer:

(3,1), r = √6 is a required answer.

Step-by-step explanation:

evaluate ab/c if a=5, b=6 and c=3

Answers

Answer:

Step-by-step explanation:

ab/c

substitute the vale of a,b and c

=5*6/3

=30/3

=10

Answer:

10

Step-by-step explanation:

Given

[tex]\frac{ab}{c}[/tex] ← substitute the given values into the expression

[tex]\frac{5(6)}{3}[/tex] = [tex]\frac{30}{3}[/tex] = 10

I need help for grades!!!

Answers

Yes, the relation shown is a function because every element in the domain has only one distinct image in the co-domain.

The area of a rectangle is 44 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.

Answers

Answer:

[tex] \sqrt{137} [/tex]

Step-by-step explanation:

11.7

Lines I and m are parallel. If angle a
measures 35°, what is the measure
of angle d?
a
m
d
A
35°
B
55°
C 145°
D 180°

Answers

C. 145°

Explanation:

angles A and D are opposite adjacent.

Line l has a _____ slope.
negative
0
positive
undefined

Answers

Answer:

positive

Step-by-step explanation:

negative slopes go from right to left; this line goes from left to right

0; the line isn't completely horizontal

undefined; the line isn't completely vertical

Positive
Reason being it tilts upwards in the positive direction on the coordinate plane

Reasoning A salesperson's commission rate is 4%. What is the commission from the sale of
$41,000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be
true about the commission? Explain without using any calculations,
The commission is $

Answers

Answer: $1640

Step-by-step explanation:

Since the salesperson's commission rate is 4%, therefore the commission from the sale of $41,000 worth of furnaces will be calculated as follows:

= 4% × $41000

= 4/100 × $41000

= 0.04 × $41000

= $1640

Therefore, the commission is $1640.

Ecuaciones 6x+18=0 respuesta

Answers

Answer:

x=3

Step-by-step explanation:

6x+18=0

Subtract 18

6x=18

Divide by 6

x=3

Hope I helped, have a nice day :)

Which would prove that triangle abc~triangle xyz? Select two options .

Answers

Answer:

ans: option 1st

Step-by-step explanation:

in similar triangle, corresponding sides are proportional to each other

Check all that apply: Which similarity statements are true?

Answers

Answer:

B and C

Step-by-step explanation:

Solve for x. Round to the nearest tenth. Please help

Answers

Answer:

answer is 64x68

Step-by-step explanation:

Answer:

Step-by-step explanation:

take 38 degree as reference angle

using sin rule

sin 38=opposite/hypotenuse

0.61=x/13

0.61*13=x

7.93=x

8=x

phone, it can expect to sell 1,000-2x phones.
The company uses the function r defined by r(x)=x⋅(1,000−2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each.

Answer the 2 questions below.



a) What are the X-Intercepts and what do they mean in this situation?

b) At what price should the company sell their phones to get the maximum revenue? Explain your reasoning

Answers

Answer:

Step-by-step explanation:

The x intercepts are 0 and

1000 - 2x = 0              given condition

1000 = 2x                   Divide by 2

500 = x

So the two intercepts are 0,0 and 500,0

The intercepts mean that for (0,0) the phone company hasn't charged anything, yet. For 500,0 the phone company can sell a single phone -- not when they cost 500 dollars apiece.

The answer to the B part is completing the square.

r(x) = - 2x^2 + 1000x

r(x) = -2(x^2 - 500x )

1/2 ( 500) = 250

250^2 is what you put inside the bracket's to complete the square.

r(x) =  - 2(x^2 - 500x + 250^2) + 2*250^2

r(x) = -2(x - 250)^2 + 2*62500

r(x) = - 2(x - 250)^2 + 125000

They should sell their phones at 250 dollars a piece. The total revenue is 125000. Your graph shows exactly the same thing.

Please help! I'll give brainlist

Answers

3rd one because you need to use the formula and calculate

Sin y+ cos y + tan y sin y=sec y+ cos y tan y?

Answers

Answer:

sec y

Step-by-step explanation:z

the sum of the three numbers is 94. The second number is 2 times the third. The first number is 6 more than the third. what are the numbers?

Answers

Answer:

28, 44, 22

Step-by-step explanation:

a+b+c = 94

2×c = b

a = c+6

=>

c+6 + 2×c + c = 94

4×c + 6 = 94

4×c = 88

c = 22

=>

b = 2×22 = 44

a = 22 + 6 = 28

28 + 44 + 22 = 94

I need filler, hope this helps

How many liters are equal to 3,167 milliliters? Use the placement of the decimal point when dividing by a power of 10 to help you solve.

Answers

Answer:

3.167 liters

Step-by-step explanation:

1 liter = 1,000 milliliters

3,167 milliliters * 1liter/1,000milliliters = 3.167 liters

I’m not sure this is right can someone please revise me

Answers

Yes it’s correct, it’s C.

PLEASSSS ANSWERRR

Josh offers to buy a team photo for 10 of his teammates,
but 2 of them don't want one.
If a team photo costs $4, how much will Josh spend on his teammates?

Answers

Answer:

ok lets turn this into a equation

x=4(10-2)

x=4(8)

X=32

so josh will spend 32 dollars on his team mates

Your Welcome

BIFFY OUT!!!

Answer:

The expression is 4(10 - 2).

Josh will spend $32

Step-by-step explanation:

Hope It HEPLS :D

Peyton's car is 108 inches long How many feet
long is his car?

Answers

Answer:

9 Feet

Step-by-step explanation:

Inches: 108

Feet: 9

Divide the length value by 12

Plz helpp need this noww​

Answers

Answer:

after 4 hours she cycled 48+ 20 which is 68 miles

Step-by-step explanation:

Answer:

So, d(4)=68. That means that after 4 hours, Joanna has cycled 68 miles.

Step-by-step explanation:

First, we need to find what d(4) equals. In this equation t=4, so to solve plugin 4 and simplify.  Therefore, the equation is [tex]d(4)=12(4)+20[/tex]. Once you multiply and add you get d(4)=68; this answers the first question.

Then, the next two questions ask you to interpret this answer. To do that go back and read what each variable stands for. "t" is for the time Joanna has cycled. So, in the equation d(4), 4 hours have passed. Additionally, "d(4)" represents the number of miles she has ridden. This means since d(4)=68 she has cycled 68 miles.

Note that since I cannot see the options I guessed at the exact wording, but the answers should be similar to what I wrote.

Using the function f (x) = 400 – 15x, where f(x) = the remaining pounds of grain in the truck, and (x) represents the amount of buckets taken out:
Calculate how many buckets it will take until their is 50 pounds of grain remaining.

Answers

Answer:

[tex]{ \tt{f(x) = 400 - 15x}} \\ { \boxed{ \tt{when \: f(x )\: is \: 50}}} \\ 400 - 15x = 50 \\ 15x = 400 - 50 \\ 15x = 350 \\ x = 23.3 \approx23 \: buckets \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

ANSWER PLEASEEEE ILL GIVE THE BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

try D. if that isnt it try C. not too sure

Answer:

0.91

Step-by-step explanation:

The scatterplot shows a strong positive correlation which almost forms a perfect line.

The most appropriate correlation would be 0.91.

If the correlation was 0.21 then the plots would be more scattered.

Hope this helps you.

what is the vertex of a parabola represented by the equation f(x) = -2 (x-4)^2 - 7

Answers

Answer:

f ( x ) = x ^2  + 1

f ( x ) = 7 x^ 2  + 5 x − 4

f ( x ) = 4 ( x − 3 ) ^2

Step-by-step explanation:

Balr's new computer costs less than twice the cost of her old computer. Her new computer cost $709. How much did Blair's old computer cost?

Answers

Answer:

$357

Step-by-step explanation:

Can someone Help me with this:
Felipe’s solution to an equation is shown below:


Given: x^2+6x+8=0

Step 1: (x+2)(x+4)=0

Step 2: x+2=0 or x+4=0

Step 3: x= -2 or x= -4


Which property of real numbers did Felipe’s use for step 2?


A. Distributive property of multiplication over addition


B: Multiplication property of equality


C. Commutative property of multiplication


D: Zero product of multiplication

Answers

Answer:

D. Zero product of multiplication

Step-by-step explanation:

The given equation is presented as follows;

Given: x² + 6·x + 8 = 0

By factorization, to find numbers represented by variables, 'a' and 'b', such that  a + b = 6 and a×b = 8, we have, a = 2, and b = 8 as a possible solution by observation

Step 1: (x + 2)·(x + 4) = 0

Given that (x + 2) × (x + 4) = 0, we have

Step 2: x + 2 = 0 or x + 4 = 0, by zero product of multiplication

The zero-product property states that the when two non zero numbers are multiplied, the result is nonzero

Therefore, when two numbers are multiplied, and have a result of zero, for example, i × j = 0, then, either, i = 0, or j = 0

By the zero-product rule, either, (x + 2) = 0, or (x + 4) = 0

Therefore, we have;

Therefore;

Step 3: x = -2 or x = -4

The property of real numbers Felipe's use for step 2 is the Zero product of multiplication.

Hehehehehehehehheheheh

Answers

Answer:

B, E

Step-by-step explanation:

A would be wrong because the second part (up 1) would give you (5,1) The origin is (0,0)

B is correct because (5,0) has a 5 as the x coordinate

C is wrong because the y coordinate is 0

D is wrong because A is on the x since the y coordinate is 0

E is correct because (5,0) has a 5 on the x and a 0 on the y

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