Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[tex]Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[/tex]

Answer:

(x - 9)(x - 9)

Step-by-step explanation:

Hey there!

Well to factor,

x^2-18x+81

we need to figure out what times what equal 81 and adds together to get -18.

-9*-9 = 81

-9 + -9 = -18

x*x = x^2

Factored - (x - 9)(x - 9)

Hope this helps :)

To drink, kneading the dough, taking a bath, water fields and swimming

In my opinion

Answer:

Step-by-step explanation:

Watering the fields is going to take the most water.

Swimming requires a good deal of water, but the answer depends on where you do the swimming. I will assume it is a pool. But if it is a river or lake, you might look at the order of these first two listed.

Taking a bath takes more water than you might think, and the water has to be purified after using once. I shower does not really cut down on the amount of water used.

Taking a drink requires, usually, 8 oz. That's more than the water needed for kneading bread dough.

To get the answer the way it is asked, read from the bottom up.

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items.

Rock beats Scissors, Scissors beat Paper, and Paper beats Rock.

We assume that both Jim and Renee have an equal chance of choosing any one of the hand signs.

Since, there are 3 possibilities, either Jim win or Renee or its a tie.

So, the probability that Jim will win: [tex]\dfrac{\text{Outcomes for Jim to win}}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{1}{3}[/tex]

Hence, the required probability is [tex]\dfrac{1}{3}[/tex] .

here is an example of a fraction that equals a whole number

2/2 would equal a whole number. The bottom number is 2. This means the whole is cut into two equal pieces (halves).

The top number is 2, so we are counting two-halves.

After shading two-halves, you see that the whole circle is shaded. Two-halves is equivalent to 1.

You would plot 2/2 at the same location as the whole number 1.

Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

Answer:

901.1 km²

Step-by-step explanation:

The area of ∆WXY can be found using the formula, ½*a*b*sin(θ),

Where a and b, are two known sides of the triangle, and θ is the angle between both sides.

To find the area of ∆WXY, follow the steps below:

Step 1: Find XY using the law of sines.

m < W = 180 - (65 + 48) (sum of angles in a ∆)

W = 180 - (113) = 67°

X = 65°

WY = 49 km

XY = ?

[tex] \frac{XY}{sin(W)} = \frac{WY}{sin(X)} [/tex]

[tex] \frac{XY}{sin(67)} = \frac{49}{sin(65)} [/tex]

[tex] \frac{XY}{0.92} = \frac{49}{0.91} [/tex]

Cross multiply

[tex] XY*0.91 = 49*0.92[/tex]

Divide both sides by 0.91

[tex] \frac{XY*0.91}{0.91} = \frac{49*0.92}{0.91} [/tex]

[tex] XY = 49.54 [/tex]

XY ≈ 49.5

Step 2: find the area

Area = ½*WY*XY*sin(Y)

Area = ½*49*49.5*sin(48)

Area = ½*49*49.5*0.743

Area = 901.07325

Area = 901.1 km² (nearest tenth)

Answer:

s = 116°, q and t are 64°

Step-by-step explanation:

isoceles so r and s are the same and q and t are the same. therefore q and t are 180-116 = 64

Answer: Choice D.   2x^2+2y^2 = 32

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

Explanation:

The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.

(h,k) = (0,0) is the center

r = 4 is the radius as it is the distance from the center to the edge of the circle

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 4^2

x^2+y^2 = 16 is one way to express the equation of the circle

For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...

x^2+y^2 = 16

2(x^2+y^2) = 2*16

2x^2+2y^2 = 32

This matches up with choice D.

Answer:

D.

Step-by-step explanation:

According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.

x^2 + y^2 = 16

A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.

B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.

C. This choice is obviously incorrect, since it should be + y instead of - y.

D. This choice is correct. All terms are multiplied by 2.

Hope this helps!

Answer:

6,000 children

Step-by-step explanation:

1/3 of 9,000 is 3,000

Meaning that out of 9,000 children, 3,000 WILL get affected. Since we are trying to figure out how many children will NOT get affected, just subtract the number of infected by the total amount which would be 6,000

Answer:

5 pounds.

Step-by-step explanation:

You can start by subtracting 28.60 from 70 which equals 41.4.

Now you just need to divide 41.4 by 8.28 which equals 5.

So, Salma bought 5 pounds of coffee.

Hope this helps! <3

Answer:

Step-by-step explanation:

Hello!

X: content of sugar of a sample of cereal.

Data set:

0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43

n= 16

[tex]\frac{}{X}[/tex]= 0.295g

S= 0.17g

You have to test if the mean sugar content is less than 0.3g

H₀: μ ≥ 0.3

H₁: μ < 0.3

α: 0.05

Assuming that the variable has a normal distribution, you have to conduct a t test:

[tex]t= \frac{\frac{}{X}-Mu }{\frac{S}{\sqrt{n} } } ~~t_{n-1}[/tex]

[tex]t_{H_0}= \frac{0.295-0.30}{\frac{0.17}{\sqrt{16} } } = -0.12[/tex]

p-value: 0.4533

The p-value is greater than α, the decision is to not reject the null hypothesis.

At a 5% significance level the decision is to not reject the null hypothesis. You can conclude that the average sugar content of the cereal is equal or greater than 0.3g of sugar per gram of cereal.

I hope this helps!

Answer:

first option

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

Here k = 0.7, thus

y = 0.7x ← is the required equation

Given

[tex]\frac{y}{x}[/tex] = [tex]\frac{7}{10}[/tex] ( cross- multiply )

10y = 7x ( divide both sides by 10 )

y = [tex]\frac{7}{10}[/tex] x = 0.7 x ← the required equation

42

Step-by-step explan

Answer:

f(n + 1) = f(n) + 20

Step-by-step explanation:

Let f(x) equals their pay at every hour of X

Where x is the number of hours, then if we go with the trend where f(1)=110, f(2)=130 f(3)=150 f(4)=170 then would see that as they are working every hour they have their pay increased by $20, from f(1)=110+ $20 gives us f(2)=130 and that is after an hour then we can say

1 hour work=$20

Then additional 1hour+ n= $20 + n

Hence,f(n+1)=f(n)+20

Answer:

C (-3,2)

Step-by-step explanation:

Well point Q on the parabola is located on point (1,2),

The corresponding point means the point located all the way to the left of Q which is (-3,2).

Thus,

the point that is corresponding to point Q is C. (-3,2).

Hope this helps :)

Answer:

None of the options are correct, the correct answers are: x = 0.967 and -2.067

Step-by-step explanation:

[tex]x^2 + 1.1x - 2 = 0[/tex]

Comparing this equation with [tex]ax^2 + bx + c = 0[/tex]

a = 1, b = 1.1, c = -2

Using the almighty formula for solving quadratic equation:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a} \\x = \frac{-1.1 \pm \sqrt{1.1^2 - 4(1)(-2)} }{2(1)} \\x = \frac{-1.1 \pm \sqrt{1.1^2 - 4(1)(-2)} }{2(1)} \\x = \frac{-1.1 \pm 3.035 }{2}\\x_1 = \frac{-1.1 + 3.035 }{2} = 0.967\\x_2 = -\frac{-1.1 - 3.035 }{2} = -2.067[/tex]

Answer:

A on edge 2021. Just took practice quiz.

Step-by-step explanation:

x = 1.7 and x = -29.2

Answer:

[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]

Step-by-step explanation:

Diameter = 11 inches

Radius = 11/2 = 5.5 inches

[tex]Volume \ of \ a \ sphere = \frac{4}{3} \pi r^3[/tex]

Where r = 5.5

V = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(166.375)[/tex]

V = [tex]\frac{2090.7}{3}[/tex]

V = 696.9 in.³

Answer:  The estimated value is:  " 2.1 " .

__________________________________

Step-by-step explanation:

__________________________________

We are asked to "estimate" :

 5 2/11  -  3/ 2/18 ;

 Note:  Consider:  " 5 2/11 " ;  

 Note that:  "2/11" is close to:  "2/10" ; which can be expressed as a decimal value:  "0.2 " ;

So, consider this value:  "5 2/11 ";  as estimated:  " 5.2 " .

Now, consider:  " 3  2/18 " ;

Note that :  "2/18" can easily be reduced to:  "1/9 ";

               Since:  "(2/18)" = "(2÷2) / (18÷2) " =  "1/9 " ;

Note that "1/9" is close to "1/10" ; which can be expressed as a decimal value:  "0.1 ".

 So, consider:  "3 2/18 " ; as estimated:  " 3.1 " .

__________________________________

So:  To estimate:  " 5 2/11  -  3 2/18 " ;

__________________________________

Use the following:  "5.2  - 3.1 " ;

__________________________________

    5.2

 -  3. 1

__________________________________

  " 2.1 "

___________________________________

The estimated value is:  " 2.1 " .

___________________________________

Hope this is helpful to you!

___________________________________

Answer:

2288

Step-by-step explanation:

Answer:

The value of cot theta is undefined for all the options

Step-by-step explanation:

I think the best way to go about this is by the use of a calculator.

All that needs to be done is to input the individual values to see where we have an answer that is out of it.

Now, moving away from the calculators, we know quite well that cot is a derivative of tan.

By knowing the values at which we have tan as undefined, we can appropriately see values where cot too would be undefined.

On a normal scientific calculator, there is no cot functionality.

The way around this is to express

Cot theta as 1/tan theta

Thus cot 90 = 1/cot(90) = calculation error

Cot 180 = 1/tan (180) = calculation error

Cot 270 = 1/tan 270 = calculation error

Cot 450 = 1/tan (450) = calculation error

This shows that the value of cot is undefined for all of these options

Answer:

180

Step-by-step explanation:

Answer: The children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively.

Step-by-step explanation:

Given, The recommended dosage is 40 milligrams per 2.2 pounds of body weight, divided into three daily doses and taken every 8 hours.

i.e. for 1 pound of body weight required dosage per day= [tex]\dfrac{40}{2.2}=18.18\ ml[/tex]

Each dose consist = [tex]\dfrac{18.18}{3}=6.06\ ml[/tex] drug.

so, 1 pound of body weight required 6.06 ml for each dose.

Then, 10 pounds of body weight require 10 x 6.06 ml drug= 60.6 ml

If 1 teaspoon = 5 ml,  then 10 pounds of body weight require (60.6 ml ÷5) = 12.12 ≈12 teaspoons.

15 pounds of body weight require 15 x 6.06 ml drug= 90.9 ml

Then 15 pounds of body weight require (90.9 ml ÷5) = 18.18≈18 teaspoons.

30 pounds of body weight require  30 x 6.06 ml drug= 181.8 ml

Then  30 pounds of body weight require (181.8 ml ÷5) = 36.36 ≈ 36 teaspoons.

Hence, the children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively.

Answer:

A. 1, 1 1/2 , 2 3/4

Step-by-step explanation:

REMEMBER: 1 teaspoon = 5 ml.

For 1 pound of body weight required dosage per day= {40}{2.2}=18.18 ml

Each dose consist = {18.18}{3}=6.06 ml drug.

so, 1 pound of body weight required 6.06 ml for each dose.

Then, 10 pounds of body weight require 10 x 6.06 ml drug= 60.6 ml

If 1 teaspoon = 5 ml,  then 10 pounds of body weight require (60.6 ml ÷5) = 12.12 ≈12 teaspoons.

15 pounds of body weight require 15 x 6.06 ml drug= 90.9 ml

Then 15 pounds of body weight require (90.9 ml ÷5) = 18.18≈18 teaspoons.

30 pounds of body weight require  30 x 6.06 ml drug= 181.8 ml

Then  30 pounds of body weight require (181.8 ml ÷5) = 36.36 ≈ 36 teaspoons.

Hence, the children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively which deduct to 1, 1 1/2 , 2 3/4 when converted to the fraction requested in the problem.

Answer:

9th term geometric sequence (a9) = 1 / 256

Step-by-step explanation:

Given:

Geometric sequence 1,1/2,1/2²

First term (a) = 1

Common ratio (r) = A2 / A1 = (1/2) / 1 = 1/2

Number of term (n) = 9

Find:

9th term geometric sequence (a9)

Computation:

[tex]an = ar^{n-1}[/tex]

a9 = ar⁹⁻¹

a9 = (1)(1/2)⁸

a9 = (1/2)⁸

a9 = 1/256

9th term geometric sequence (a9) = 1 / 256

Answer:

It is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F

Step-by-step explanation:

The given information are;

The sample size, n = 102

The sample mean = 98.4°F

The sample standard deviation = 0.66°F

[tex]\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}[/tex]

α = 0.2, ∴ α/2 = 0.1

[tex]\chi _{1-\alpha /2}[/tex] = [tex]\chi _{0.9, 101}[/tex] = 83.267

[tex]\chi _{\alpha /2}[/tex] = [tex]\chi _{0.1, 101}[/tex] = 119.589,

Which gives;

[tex]\sqrt{\dfrac{\left (102-1 \right )0.66^{2}}{119.589}^{}}}< \sigma < \sqrt{\dfrac{\left (102-1 \right )0.66^{2}}{83.267}^{}}}[/tex]

0.607 < σ <0.727

Therefore, it is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F.

Answer:

3

Step-by-step explanation:

You remove the brackets and round down to the nearest whole number which is three..

Edge 2020

~theLocoCoco

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

probability that a player wins after playing the game once = 5/9

Step-by-step explanation:

To solve this, we will find the probability of the opposite event which in this case, it's probability of not winning and subtract it from 1.

Since, we are told that there are 2 fair six sided die thrown at the same time and that he receives a five or a one on either die ;

Probability of not winning, P(not win) = 4/6.

Thus;

P(winning) = 1 - ((4/6) × (4/6))

P(winning) = 1 - 4/9 = 5/9

Answer:

D.0

Step-by-step explanation:

Our system of equations is

then we can conclude that

This is a quadratic equation so we will use the dicriminant method:

Let Δ be our dicriminant

The dicriminant is negative so this equation has no real solutions

the the system has no real solutions

Answer:

+When the graph is below the x-axis, the barnacle is underwater.

+The graph dips below the x-axis three times between x = 0 and x = 20, so the barnacle goes underwater three times.

+Every time the barnacle goes underwater, the boat travels pi meters (one half the circumference of the wheel) before the barnacle comes back up, so the barnacle covers 3pi  meters underwater between x = 0 and x = 20

Step-by-step explanation:

To determine the number of times that the times the barnacle went beneath the water level, it can be illustrated when the graph is below the x-axis.

It should be noted that the graph dips below the x-axis three times between x = 0 and x = 20, therefore the barnacle goes underwater three times.

Also, every time the barnacle goes underwater, the boat travels pi meters before the barnacle comes back up.

Learn more about graph on:

https://brainly.com/question/19040584

#SPJ2

Answer:

no

Step-by-step explanation:

It is an equal lateral triangle, a right triangle has a side that is longer then the others

Answer:

Step-by-step explanation:

Berto’s train was 34 miles past the egg farm .

Eduardo’s train had 12 miles to go before it reached the egg farm.

Distance between two trains = 34 + 12 = 46 miles

This distance has to be reduced to zero for their crossing each other .

Rate at which this distance is reduced  = their relative velocity

= 110 - 85

= 25 miles / h       [ They are moving in the same direction ]

So, time taken for them to meet each other

= 46 / relative velocity

= 46 / 25

= 1.84 hours .

Answer:

The answer is D or 1.84 hours.

Step-by-step explanation:

I got 100% on this quiz.