LOT OF POINTS
approximate the solutions to this system.

y = 3x2 + x − 6

y = x − 4

Round your answers to the nearest hundredth.

Answers

Answer 1

Answer:

[tex] \displaystyle ( x_{1},y_{1}) = (0.82, - 3.18) \\ ( x_{2},y_{2}) = ( - 0.82, - 4.82)[/tex]

Step-by-step explanation:

we are given a system of quadratic and linear equation

we want to figure out x and y

in other words the coordinates where the linear function intercept quadrilateral function

to do so

you can use substitution method

since y equals to both equation so substitute:

[tex] \displaystyle {3x}^{2} + x - 6 = x - 4[/tex]

move right hand side expression to left hand side and change its sign so there's only 0 left on the left hand side:

[tex] \displaystyle {3x}^{2} + x - 6 - x + 4= 0[/tex]

simplify addition:

[tex] \displaystyle {3x}^{2} -2=0[/tex]

add 2 to both sides:

[tex] \displaystyle {3x}^{2} = 2[/tex]

divide both sides by 3

[tex] \displaystyle \frac{ {3x}^{2} }{3} = \frac{2}{3} [/tex]

[tex] \displaystyle {x}^{2} = \frac{2}{3} [/tex]

square root both sides:

[tex] \displaystyle {x} = \sqrt{\frac{2}{3} } \\ x = \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]

rationalise the denominator by multiplying √3/√3:

[tex] \displaystyle x = \pm\frac{ \sqrt{6} }{3} = \pm0.82[/tex]

now let's figure out y

substitute the value of x to the linear equation:

[tex]y = \pm0.82 - 4[/tex]

when positive

[tex]y = - 3.18[/tex]

when negative

[tex]y = - 4.82[/tex]

LOT OF POINTSapproximate The Solutions To This System.y = 3x2 + X 6y = X 4Round Your Answers To The Nearest
Answer 2

Answer:

(x1,y1) = (0.82, - 3.18)

(x2,y2) = (-0.82, -4.82)

Step-by-step explanation:

Plato gang


Related Questions

10


The fair spinner shown in the diagram above is spun.
Work out the probability of getting a 2.
Give your answer as a fraction in its simplest form.

Answers

Answer:

2/1

Step-by-step explanation:

[tex]2 - \frac{21 }{?} [/tex]

what is the answer pls help 5' 2" − 2' 3" =

Answers

Answer:

2' 11'

Step-by-step explanation:

Answer:

1.83333333333

Step-by-step explanation:

i dunno if these were supposed to be fractions

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

A. Skewed Right
B. Uniform
C. Skewed Left
D. Normal

Answers

Skewed Right I think. I'm not sure but try it

Answer:

C. Skewed Left

Step-by-step explanation:

Because the first 2 age group have minimal runners than the next 3 age groups spikes and the last 4 are very low once again. the spike occurs relavity near the beggining so if graphed it would be skewed left.

if someone can help me with this I’d really appreciate it!! ( links = report )

Answers

It’s 4

The area of a rhombus is diagonal 1 x diagonal 2 / 2. Since we know the area is 120 and the diagonal 1 is 15 we would divide them and get 8. But then you would do divide 8 by 2 because of the last part of the formula for a rhombus and get 4.

Hope that helps!

Dominic observes the number of birds that come to the feeder each day for a
week. If the range is 15, what is a possible value of n?

Answers

I think it would be 55

Solve the problem.
Some dogs were playing in
the park. Seven more dogs
ran over. Then there were
nine dogs. How many dogs
were in the park before?

Answers

Answer:

2 dogs

Step-by-step explanation:

2 dogs at 1st plus 7 dogs added equals 9

15.
Which number is a solution of the inequality?

x(7 – x) > 8

A. 0

B. 2

C. –1

D. 8

Answers

The correct answer would be B. 2! :)
(Could I have brainliest, please?)

Answer:

B

Step-by-step explanation:

2(7-2) > 8

2(5) > 8

10 > 8  true

Use the distance formula to find the distance between each PowerPoint round to the nearest 10th if necessary

Answers

Answer:

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

Distance = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

a). A(-6, -4), B(-3, -1)

Distance between A and B = [tex]\sqrt{(-6+3)^2+(-4+1)^2}[/tex]

                                             = [tex]\sqrt{9+9}[/tex]

                                             = 3√2

                                             = 4.2 units

b). C(3.5, 1), D(-4, 2.5)

Distance between C and D = [tex]\sqrt{(3.5+4)^2+(1-2.5)^2}[/tex]

                                              = [tex]\sqrt{58.5}[/tex]

                                              = 7.65

                                              ≈ 7.7 units

c). Distance between X(5, -5) and Y(-5, 5)

    Distance = [tex]\sqrt{(5+5)^2+(-5-5)^2}[/tex]

                    = [tex]\sqrt{200}[/tex]

                    = 10√2

                    = 14.14

                    ≈ 14.1 units

A cone has radius 3.8 cm and height 7.6 cm. The radius and the height are doubled. Which of the following describes the effect on the volume?

Answers

Answer:

The volume is multiplied by 8.

Step-by-step explanation:

The volume of a cone with a radius of 3.8 and a height of 7.6 is 114.92. Now let’s double them, the results come out to be 919.39, we divide these by each other and we get roughly 8 when you round. Therefore, your answer is 8.

determine the domain and range of the graphed function

Answers

Answer:

B

Step-by-step explanation:

Please help! You will get 'Brainliest' if you do.

Answers

Answer:

10.5

Step-by-step explanation:

just divide 49 by 4 and 2/3 to get the rate of mpg

Which scatterplot represents the data given in the table which shows the number of oranges in bags and the weights of the bags?

Answers

Answer:

I would need to see an actual table to answer this question.

Answer:

i think its A

Step-by-step explanation:

Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
f(n) = 1000(1/4)^n-1
f(1) =?
r = ?
then the 5 terms:
___, ___, ___, ___, ___...​

Answers

Given:

The explicit function is:

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]

To find:

[tex]f(1)=?,r=?[/tex] and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

[tex]f(n)=ar^{n-1}[/tex]            ...(i)

Where, a is the first term and r is the common ratio.

We have,

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=1000[/tex]

[tex]f(1)=1000[/tex]

And,

[tex]r=\dfrac{1}{4}[/tex]

For [tex]n=1[/tex],

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]

[tex]f(1)=1000(1)[/tex]

[tex]f(1)=1000[/tex]

For [tex]n=2[/tex],

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]

[tex]f(2)=1000\times \dfrac{1}{4}[/tex]

[tex]f(2)=250[/tex]

Similarly, substituting [tex]n=3,4,5[/tex], we get

[tex]f(3)=62.5[/tex]

[tex]f(4)=15.625[/tex]

[tex]f(5)=3.90625[/tex]

Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].

Given:

The explicit function is:

To find:

and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

           ...(i)

Where, a is the first term and r is the common ratio.

We have,

        ...(ii)

On comparing (i) and (ii), we get

And,

For ,

For ,

Similarly, substituting , we get

Therefore,  and the first five terms are .

mp = 480 discount = 12 % find the sp​

Answers

Step-by-step explanation:

hope it is helpful to you

Answer:

422.4

Step-by-step explanation:

MP=480

Discount%=12%

SP=?

We know that,

SP=MP-Discount%of MP

=480-12%×480

=480-57.6

=422.4

please help lol !!!!

Answers

Answer:

63 degrees

Step-by-step explanation:

Since this is an isosceles triangle, the two bottom angles must be equal, while the top angle (in the way this specific triangle is oriented) must be different. Therefore, angle CDB is 63 degrees.

Answer:

∠CDB = 63°

Step-by-step explanation:

∠CBD and ∠CDB opposite side lengths are congruent (indicated by the little markings)

Because their opposite sides are congruent they are too congruent

So ∠CBD = ∠CDB

because ∠CBD = 63° ∠CDB also equal 63°

When a triangular prism is intersected by a plane parallel to the bases, what is
the resulting cross-section?
A) rectangle B) circle. C)triangle

Answers

Answer:

C:  triangle

Step-by-step explanation:

the cross section is a triangle that is smaller than the base triangle.

Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?

Answers

Answer:

18 sharpened pencils

Step-by-step explanation:

Total = 30 pencils

100% = 30 pencils

1% = 30 ÷ 100 = 0.30

60% = 0.30 x 60 = 18

Answer:

18 sharpened pencils

Step-by-step explanation:

the percent 3/5 can be multiplied by 6 to give u 18/30

I've already answered question A but I'm struggling with question B. I am in 7th grade but I do 8th grade math. I need some help.​

Answers

Okay so we plug in 66 inches into the equation as h for height. Then we get
66=3t+12
Subtract 12
We get 66-12=54
54=3t
Divide by 3
T=18
It will take 18 months

Write the square roots of 49 i in ascending order of the angle.

Answers

Answer:

The square roots of 49·i in ascending order are;

1) -7·(cos(45°) + i·sin(45°))

2) 7·(cos(45°) + i·sin(45°))

Step-by-step explanation:

The square root of complex numbers 49·i is found as follows;

x + y·i = r·(cosθ + i·sinθ)

Where;

r = √(x² + y²)

θ = arctan(y/x)

Therefore;

49·i = 0 + 49·i

Therefore, we have;

r = √(0² + 49²) = 49

θ = arctan(49/0) → 90°

Therefore, we have;

49·i = 49·(cos(90°) + i·sin(90°)

By De Moivre's formula, we have;

[tex]r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}} = \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )[/tex]

Therefore;

√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))

∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))

√(49·i) = ± 7·(cos(45°) + i·sin(45°))

The square roots of 49·i in ascending order are;

√(49·i) = - 7·(cos(45°) + i·sin(45°))  and  7·(cos(45°) + i·sin(45°))

Can I get help?
I don’t know how old he is?

Answers

Answer:

B

Step-by-step explanation:

If you separate it it's the number 13 so it has to be correct. :) it always works for me....well only like 70% of the time but it' better than nothing.

On a multiple-choice test, a student has four possible choices for each question. The student receives 1 point for a correct answer and loses ¼ point for an incorrect answer. If the student has no idea of the correct answer for a particular question and merely guesses, what is the student's expected gain or loss on the question? Suppose you were using an

Answers

Answer:

1 / 16

Step-by-step explanation:

Number of options = 4

Number of correct answers = 1

Number points gained for a correct answer = 1

Number of points lost for an incorrect answer = 1/4 = 0.25

Probability of choosing a correct option = 1/4

Probability of choosing an incorrect option = 3/4

x ____ 1 ______ - 1/4

P(x) __ 1/4 ______ 3/4

Expected gain or loss :

E(x) = Σx*p(x)

E(x) = (1 * 1/4) + (-1/4 * 3/4)

E(x) = 1/4 - 3/16

E(x) = (4 - 3) / 16

E(x) = 1 /16

A gain of 1/16

plsssssssss helppppp will give brainliest plss

Answers

Answer:

Im in 6th grade i'm going to ask my parents if they can solve this good luck and if you can subscribe to amiredagoat yt i think i'm going to an impact on the world

Step-by-step explanation:

Tamekia and Marsha mow lawns during the summer to earn money. Tamekia determined that she can earn between $6.00 and $6.25 per hour. Marsha estimates that she earns between $7.50 and $8.00 per hour. About how much more money will Marsha earn than Tamekia if they each work 22 hours?

Answers

Answer:

$33 - $38.50

Step-by-step explanation:

Tamekia $6.00 -  $6.25

y = mx

y = (22)(6) = 132

y = (22)(6.25) = 137.50

$132 - $137.50

Marsha $7.50 - $8.00

y = (22)(7.5) = 165

y = (22)(8) = 176

$165 - $176

Answer:

Step-by-step explanation:

2x45-y3=

Please help

What is the equation of the given line?

Answers

Answer:

y = 1

Step-by-step explanation:

Since the line is horizontal, that means there's no slope (y = b)

Since the line hits the y-axis of 1, the answer is y = 1

Claire is working two summer jobs, making $7 per hour washing cars and making $15 per hour clearing tables. In a given week, she can work at most 9 total hours and must earn a minimum of $90. If xx represents the number of hours washing cars and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

Since Claire is working two summer jobs, making $ 7 per hour washing cars and making $ 15 per hour clearing tables, and in a given week, she can work at most 9 total hours and must earn a minimum of $ 90, to determine one possible solution the following calculation must be performed:

15 x 9 = 135 135 - 90 = 45 45/7 = 6.42 6 x 7 + 3 x 15 = 42 + 45 = 87 5 x 7 + 4 x 15 = 35 + 60 = 95

Therefore, at a minimum, Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

Learn more in https://brainly.com/question/18954219

Lia has a ribbon 325 4/5m long. She cuts off a 150 3/5m long piece; then she divided the rest of the ribbon into 3 parts of equal length. Find the length of each part.

Answers

Answer:

Each part is 56 11/15 m long.

Step-by-step explanation:

325 4/5 - 150 3/5

= 170 1/5

170 1/5 = 851/5

851/5 / 3

= 851/5 * 1/3

= 851/15

= 56 11/15.

graph 3x+6y=18 In the box below, enter the y value when x = 2.

Answers

Answer:

y = 2

Step-by-step explanation:

3x + 6y = 18

3(2) + 6y = 18

6 + 6y = 18

Since 18 - 6 = 12, y will equal 2.

6 + 6(2) = 18

6 + 12 = 18

The coordinates to graph the equation would be (2, 2).

Hope it helps!

Could someone give me the answer to this question

Answers

What question are you talking about? I don’t see anything

PLEASE HELP ME!!
Brainliest for most helpful
If you use bit. ly I will ban you
Don't try me
All I need is a decimal

Answers

It might be 0.432 because add all the mornings numbers, 19,2,6,16.

19+2+6+16 = 43.

How many Freshman? 19 so 19/43 and then you divide 19 and 43

19/43 and you get 0.4418604651 about and it looks to be close to 0.432.

In what way does walking help The environment? How does it make you feel about the state of our environment?

Answers

Walking plays an important role in improving our quality of life because it helps protect and improve the living environment and natural resources. Improving the environment in turn brings added health benefits that come, for example, from cleaner air, less traffic noise and fewer road accidents. Walking is highly efficient in its use of urban space and energy, it rarely causes injury and it gives streets vitality and personal security.
Other Questions
What is Grant's plan for attacking Vicksburg? Find the area of this trapezoid. Area = _______ square units. Round to the nearest whole number. Help please i need it Steven jogs around a circular field with a diameter of 70 yd. Find the area of the field. Which neutral country was partially occupied by the Soviet Union between1945-19552 98 is what percent of 280? What do you think is going to happen in The Odyssey Part II? Check out this rectangular prismFind the surface area of the rectangular prism (above) using its net (below). tres tristes tigres trigan trigo en un trigal Competition between countries to be superior in space exploration and technology. What is the name of this definition need help A right angled triangle has a second angle equal 24 degrees. The side adjacent to this angle is 3,7 metres long. How long are the hypotenuse and opposite sides? (3) What kind of wave is a sound wave? Why? Draw a data flow diagram that indicates the condition and factors that must be satisfied before a customer request for goods can be granted from a factory Write an objective summary of Romeo and Juliet's prologue. If people are described as fugitives from justice, which statementis most likely to be true of them? Base your answer on themeaning of fugitives.AThey have been found not guilty at trial.BThey are being held in jail.C They have run away to avoid arrest.D They have committed a minor crime. HOW DO I DO MATH..IM NOT EVEN SMART ENOUGH TO KNOW WHAT 4x6 IS PLzzzzzz Hellllp I am doing my Spring breakkk work sheeeet and I need hellllllp, PLeasssse28.What is the best way to rewrite the underlined words below to make one sentence?By 1936, the group started to partner with commercial bakers to sell cookies across the nation. Since then, Girl Scout cookies have become more than a fundraiser. A. the nation; and since then,B. the nation and since then,C. the nation, and since then,D. the nation and, since then, Here is some moreFind the value of x: 3x7=8x+23 In one hour a seamstress can sew 48 yards of material. How many yards can she sew in 15 minutes? Why is triage an important factor for military medics on the battlefield? If you were performing a triage, what would you use to evaluate the order of treatment?