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Answer:

System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x+3<6  Equation/Question

Step 2

-3x+3<6  Simplify

-3x<3

Step 3

-3x<3  Divide

Answer

x>-1

Hope this helps

Answer:

9.7

Step-by-step explanation:

When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:

your answer would be 9.7

please mark brainelist!!!

Answer: 10

Step-by-step explanation:

Each mile has 4 quarter miles.

2.5 miles are covered.

4×2.5=10

Answer:d

Step-by-step explanation:

Both aren’t related But they do have some impact on eachother

Answer:

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of 11487.

Step-by-step explanation:

The population of the town after x years is given by the following equation:

[tex]P(x) = 5000(1.181)^{0.1x}[/tex]

After 10 years, the population of the town will be of:

This is P(10). So

[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of:

This is P(50). So

[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]

After 50 years, the population of the town will be of 11487.

Answer:

48 years old

Step-by-step explanation:

Let x = Mikhail's age

then x-15 = Gabrielle's age

x + x-15 = 81

2x-15 = 81

2x = 96

x = 48 years old

Answer:

44

Step-by-step explanation:

x+(x-12)=76

2x-12=76

2x=76+12

2x=88

x=88/2

x=44

Answer:

x = 59.4°

Step-by-step explanation:

Reference angle = x

Side opposite to x° = 22

Adjacent side = 13

To find x, apply trigonometric ratio formula. Thus:

[tex] tan(x) = \frac{22}{13} [/tex]

[tex] x = tan^{-1}(\frac{22}{13}) [/tex]

[tex] x = 59.4 [/tex] (nearest tenth of degree)

Answer:

[tex]\angle B=41.81^\circ[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

[tex]\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:

[tex]\displaystyle \sin \angle B=\frac{2}{3}=0.667[/tex]

Calculating the inverse sine function:

[tex]\angle B=\arcsin (0.667)[/tex]

[tex]\boxed{\angle B=41.81^\circ}[/tex]

Hello!

We can graph by finding critical points - intersections, y-intercepts, x-intercepts.

Find the intersection point by setting the two equations equal to each other:

-4x + 3 = x - 2

Subtract x from both sides:

-5x + 3 = - 2

Subtract 3 from both sides:

-5x = -5

Divide both sides by -5:

-5x/(-5) = -5/(-5)

x = 1

Find the y-value of intersection by plugging in x = 1 into an equation:

y = 1 - 2 = -1

Intersection at (1, -1)

Find the x and y intercepts of each equation:

y = -4x + 3

Set x to 0 to find the y-intercept:

y = -4(0) + 3 = 3

Set y to 0 to find the x-intercept:

0 = -4x + 3

-3 = -4x

x = 3/4

Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).

y = x - 2

Set x to 0 to find the y-intercept:

y = 0 - 2 = -2

Set y to 0 to find the x-intercept:

0 = x - 2

x = 2

Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).

Graph the two equations with the solved critical points:

y = -4x + 3

--> (1, -1)

--> (0, 3)

--> (3/4, 0)

y = x - 2

--> (1, -1)

--> (0, -2)

--> (2, 0)

**Graphed below**

Answer:

D.By finding the unit rate and multiplying it by 7.

Step-by-step explanation:

Answer:

∠3 and ∠1 are correct

Step-by-step explanation:

adjacent angles are next to each other with a common vertexand side

Answer:

Sample size is [tex]n=423[/tex]

Step-by-step explanation:

Given that,

Margin of error [tex]=4[/tex]%

Confidence level [tex]=90[/tex]%

Suppose, sample proportion[tex]=0.5[/tex]

        i.e. [tex]\hat{P}=0.5[/tex]

We know that,

     Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]

 ∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]

[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]

[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]

[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]

squaring on both side,

∴ [tex]n=423.1249[/tex]

Hence, the sample size is,

   [tex]n=423[/tex]

Hence, the correct option is [tex](b).[/tex]

Answer:

423

Step-by-step explanation:

Answer:

angle A=140

angle B=105

angle C=60

angle A=140

angle B=105

angle C=60

Step-by-step explanation:

PENN

Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Thus:

ΔPQR and ΔSTU are similar because:

PQ/ST = PR/SU = QR/TU = 3.5

Therefore,

m∠Q = 180 - 70 - 46

m∠Q = 64°

Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Learn more about similar triangles on:

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Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

If something is 20% off divide the number by 5 then take that number and minus it from the original number

For example

50 ÷ 5 =10

50 - 10 = 40

I hope this helps!

Answer:  28.765957 km/hour

This value is approximate. Round it however you need to.

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

Explanation:

Let's convert 75 minutes to hours.

75 min = (75 min)*(1 hr/60 min) = (75/60) hr = 1.25 hr

So Jaden's train takes 1.25 hours to travel 130 km. Her train's speed is

speed = distance/time

speed = (130 km)/(1.25 hrs)

speed = (130/1.25) km per hour

speed = 104 km per hour

Let A = 104, so we can use it later.

------------------------------------

Dani's train leaves at 15:15 and arrives at 18:30. We need to calculate the duration of elapsed time here.

Overall, the length of time from 15:15 to 18:30 is 0.75+2+0.5 = 3.25 hours.

Dani's train travels 312 km in 3.25 hours.

That train's speed is...

speed = distance/time

speed = (312 km)/(3.25 hours)

speed = (312/2.35) km per hour

speed = 132.765957 km per hour, approximately

Let B = 132.765957 so we can use it later.

------------------------------------

Lastly, we subtract the values of A and B to get the final answer

C = difference in train speeds.

C = B - A

C = 132.765957 - 104

C = 28.765957 km/hour

This value is approximate. This says that Dani's train is approximately 28.765957 km/hour faster compared to Jaden's train.

Step-by-step explanation:

Because he always do that non sense thing by this true method and always shout it when they will go from their house

Answer:

ne hamla que estas no habla espanol

Step-by-step explanation:

que

Answer:

To know the distance between the sun and the earth you need isolate d of the equation:

[tex]v = \frac{d}{t} \\ d = vt[/tex]

and the additional information needed is the velocity of light and the time elapsed to be in the earth

Answer:the answer is D Any amount of time over an hour and a half would cost $10

Step-by-step explanation:

Answer:

0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12

Step-by-step explanation:

Given :

Number of monkeys, n1 = 10

Probability of fall, off ; p(m) = 35% = 0.35

Number of kangaroos, n2 = 5

Probability of fall, off : p(k) = 20% = 0.2

1.) A monkey and kangaroo falls off;

p(m) * p(k) = 0.35 * 0.2 = 0.07

2.) probability that monkey will not fall off;

1 - p(m) = 1 - 0.35 = 0.65

3.) probability that a monkey falls off every one of seven nights :

P(m) = 0.35 ; for 7 nights ;

0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875

4.)

P(x ≥ 1) = p(1) + p(2) +... + p(10)

Using binomial probability calculator :

n = 7*10 = 70 ; p = 0.35

P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12

Answer:

54 minutes

Step-by-step explanation:

Hope I helped!

I can almost guarantee this answer is correct.

Have a nice day!

Answer:

54 minutes

Step-by-step explanation:

Every 3 minutes she reads 1

18x3=54

Hope it helps

Answer:

58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

13 plus 45 is 58

you add them.

do you understand?

Answer:

The answer is 43 because 600/14 = 42.8571429 rounded to the nearest whole number is 43.

Step-by-step explanation:

The area is the volume divided by the height.

Area = 182 / 2.8

Area = 65 square meters

Area of the classroom floor is equals to [tex]65m^{2}[/tex].

" Area is defined as the total space occupied by any two dimensional object."

Formula used

Volume of a cuboid = Length × width × height

Area of a classroom floor = length × width

According to the question,

Given,

Height of a classroom = [tex]2.8m[/tex]

Volume of a classroom =[tex]182 m^{3}[/tex]

Substitute the value in the formula of volume we get,

182 = Length × width × 2.8

⇒Length × width = [tex]\frac{182}{2.8}[/tex]

⇒Length × width =[tex]65m^{2}[/tex]

Therefore,

Area of the classroom floor =[tex]65m^{2}[/tex]

Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].

Learn more about area here

https://brainly.com/question/27683633

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Answer:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.

Step-by-step explanation:

hope i could help

Answer:

Explained below

Step-by-step explanation:

A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.

Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.

Now, for example let's consider the number 5.

It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c

Now, the opposite of these fractions like we are told to check in the question results in;

1/5; 2/10; 4/20; -1/-5;

The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.