Which ordered pairs are solutions to the inequality y−3x<10?

The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

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The equation in standard form of the circle with radius 8 and center located at (-6 , 3) is (x + 6)^2 + (y - 3)^2 = 64.

The standard form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.

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

where (h , k) = (-6 , 3)

r = 8

(x - -6)^2 + (y - 3)^2 = 8^2

(x + 6)^2 + (y - 3)^2 = 64

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One year from now, there are 300 freshmen, 1425 sophomores, 1375 students that transferred out, and 3900 students graduated.

Each category is based on the percentages given, 25% of students transfer, 15% have to repeat the year, and 60% complete the year and the fact that once a student has transferred or graduated they have a 100% chance of staying classified that way.

Percentage, which was adapted from the Latin word "per centum", which means "by the hundred", is a fraction or a ratio in which the value of whole is always 100. It is represented by the symbol "%".

If currently there are 2,000 freshmen, 1,500 sophomores, 500 students that have transferred, and 3,000 graduates,

Among the 2000 freshmen, 25% of students transfer, 15% have to repeat the year, and 60% complete the year.

students who transfer = 25% of 2000 = 500

freshmen(repeater) = 15% of 2000 = 300

sophomore = 60% of 2000 = 1200

Among the 1,500 sophomores, 25% of students transfer, 15% have to repeat the year, and 60% complete the year.

students who transfer = 25% of 1500 = 375

sophomore(repeater) = 15% of 1500 = 225

students who graduated = 60% of 1500 = 900

Adding the total number of sophomores(freshmen who completed the year and sophomores that have to repeat the year)

sophomores = 1200 + 225 = 1425

Adding the total number of students who transfer,

500 + 500 + 375 = 1375

Adding the total number of student that graduated,

3000 + 900 = 3900

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Given that Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s, then its radius is 69,912 km.

Tangential speed is defined as the measure of the circumference of the circular path the object is moving along divided by the value of the amount of time it took to complete one rotation.

tangential speed = C/t

where C = circumference

t = time it took to complete one rotation

Given that Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s, solve for the circumference of Jupiter.

C = tangential speed x time

C = 12,293 m/s (9.9259 hours)(3600s/hr)

C = 439,268,719.3 m

Using the formula for circumference, solve for the radius of Jupiter.

C = 2πr

r = C / 2π

r = 439,268,719.3 m/2π

r = 69,911,788.03 m

r = 69,912 km

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Answer:

D. 69,912 km

Step-by-step explanation:

The value of equation of 25x - 1 = 20x + 14 is x=3

Given,

25x - 1 = 20x + 14

5x=14+1

5x=15

x=3

Equations are fine statements that comprise two algebraic equations on each sides of an equal sign( =) . It depicts the equivalency link between the expression written on the left side and the expression written on the right side .L.H.S = R.H.S( left hand side = right hand side) appears in every fine equation. Equations can be used to calculate the value of an unknown variable that represents an unknown quantity. However, it isn't an equation, If the statement lacks the' equal to' sign.

Portions, variables, drivers, constants, terms, expressions, and an equal to are all factors of an equation. When we compose an equation, we must include a" = " symbol and terms on both sides.

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peanuts + peanuts = peanuts

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

0.60x + 0.35(8-x) = 0.50*8

------

60x + 35*8 - 35x = 50*8

Answer:

A. 16

A triangle has total degree of 180 we already know what the first degree is (80°)

we need to know how many degrees we have left so we have the equation 180-80= 100

let's plug in 16 in the equation (4x -4) °

(4(16) - 4)

64-4= 60°

we found our second degree now let's plug in 16 in .5 x +32

0.5(16)+ 32

8+32=40

40°

let's add all the degrees to see if it would equal to 180

80°+60°+40°= 180

so, x = 16

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100.

The percent of the given number 26 % of 500 is 130.

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100. The term percent comes from the Latin "per centum" which means per hundred. The symbol percentage is used to represent percentage.

Let the equation be 26 % of 500

Percentage = (value/total value) × 100 %.

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

26 % of 500 = 26/100 of 500

26/100 × 500 = 130

Therefore, the percent of the given number 26 % of 500 is 130.

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american history.

the foramtion of the country, the struggles that took place to found it, the social discourses, the creation of political parties and their impact, the crippling loss native americans experienced, racial disparaging,  societal progress, businesses and the economy, countless societal/political protests and reformations, the epidemics, the wars, the art, the inventions, the environment, the vernacular, the country in all of its stained glory.

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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The amount of money Savannah will have after 10 days is $0.35

Amount Savannah started with = 5 pennies

= $0.01 × 5

= $0.05

Additional amount per day = 3 pennies

= $0.01 × 3

= $0.03

Total savings in 10 days = 0.05 + 0.03(10)

= 0.05 + 0.3

= $0.35

Number of days it will take for her to have at least $1.50 = 0.05 + 0.03d

1.50 - 0.05 = 0.03d

1.45 = 0.03d

d = 1.45 / 0.03

d = 48.33333333333333

Approximately,

d = 48.33 days

Therefore, the number of days it will take for her to have at least $1.50 us 48.33 days

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Yes, it is true that an alternative hypothesis states that the direction one expects to see in the difference between treatments while the null hypothesis does not.

Null and alternative hypothesis are the two statistical hypotheses and research hypothesis is another name for the alternative hypothesis. Whenever there is difference in the outcomes of interest then it is an alternative hypothesis. And the null hypothesis is the statement of equality. The null hypothesis and alternative hypothesis both are complementary to each other.

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The growth per year in Mountain Biking is 0.25 Million

In the year 2004 - 8 Million people participated

So, the slope point becomes (2004,8)

In the year 2006 - 8.5 Million people participated

So, the slope point becomes (2006,8.5)

Now we have points as :

[tex]X_1[/tex] = 2004

[tex]Y_1[/tex] = 8

[tex]X_2[/tex] = 2006

[tex]Y_2[/tex] = 8.5

Growth per year in the sport :

= [tex]Y_2[/tex] - [tex]Y_1[/tex] / [tex]X_2[/tex] - [tex]X_1[/tex]

= 8.5 - 8 / 2006 - 2004

= 0.5 / 2 = 0.25

Therefore, Growth per year in the sport is 0.25 Million per year

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Value of the expression 3/7 . 21/21 after simplify is equal to  3/7.

As given in the question:

Given expression :

3/7 . 21/21

Simplify the given expression 3/7 . 21/21

3/7 . 21/21

= {(3 /7 ) ×21 } /21

= ( 3 ×21 ) / (7 × 21)

21 is the common number between numerator and denominator

= 3/7 .1

= 3/7

Therefore, value of the expression 3/7 . 21/21 after simplify is equal to  3/7.

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The value of – 90 7 50 written as a decimal number is -90. 14

Decimals are the types of numbers, having a whole number and the fractional part that is separated by a decimal point.

The dot present that is found between the whole number and fractions part is known as the decimal point.

Given the mixed fraction;

– 90 7 50

Let's convert to improper fractions;

 -4507  /50

Find the ratio

-90. 14

Thus, the value of – 90 7 50 written as a decimal number is -90. 14

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Answer:

Step-by-step explanation:

B)   and c)

b) is correct because x + 6 < 10

x < 10 -6

x < 4

c) is correct because

5x < 20

x < 20/5

x < 4

The numbers -28 = -28 are representing the reflexive property.

According to the Reflexive Property, x=x for every real number x. The meaning of the reflexive property is that the two expressions will have identical answers.

Suppose for square the two expressions for the length are 2x - 2 and ( 4x / 2 - 2 ). The two lengths of the square will have the same value.

2x - 2 = ( 4x / 2 - 2 ).

2x - 2 = 2x -  2

This is called reflexive property. Therefore, the numbers -28 = -28 are representing the reflexive property.

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Answer: t∈[0.6]     0 c≤t≤6 c

Step-by-step explanation:

h=316+48t-16t²

-16t²+48t+316≥28

-16t²+48t+316-28≥28-28

-16t²+48t+288≥0

Divide both parts of the equation by 16 :

-t²+3t+18≥0

Multiply both parts of the equation by -1 (in this case, change the sign of the inequality to the opposite)

-(-1)t²+(-1)3t+(-1)18≤0

t²-3t-18≤0

t²-6t+3t-18≤0

t(x-6)+3(t-6)≤0

(t-6)(t+3)≤0

Find the zeros of the function:

t-6=0

t-6+6=0+6

t=6

t+3=0

t+3-3=0-3

t=-3

⇒  - ∞__+__-3__-__6__+__+∞

⇒ t∈[-3;6]

t≥0

⇒  t∈[0,6]

Answer: -2/5

Step-by-step explanation: The slope is 5/2 and for a perpendicular line the slop is the opposite so its -2/5

It implies that you follow through on your commitments and don't just claim you'll do something before breaking your word.

For eg: - If one says that I will complete the quiz by tomorrow, then being consistent implies I must complete the quiz by tomorrow. On the other hand, if I fail to meet the test by tomorrow then I am being inconsistent with my words. Therefore, both the task at hand and my words are consistent with each other

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The coordinate of point P is (-6, -2)

The given parameters are:

P lies 2 units below the x-axis and its x-coordinate is three times its y-coordinate

The above means that

y = -2 i.e. 2 units below the x-axis

x = 3y

This gives

x = 3 * -2

Evaluate

x = -6

Express as cooridnates

P = (-6, -2)

Hence, the coordinate of point P is (-6, -2)

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Using the given information, the equation of the circle with radius 7 and center located at (-6 , 13) is (x + 6)^2 + (y - 13)^2 = 49.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

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

where (h , k) = (-6 , 13)

r = 7

(x - -6)^2 + (y - 13)^2 = 7^2

(x + 6)^2 + (y - 13)^2 = 49

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Answer:

  A.  0

Step-by-step explanation:

You want the discriminant of the quadratic 4x²+4x+1.

The discriminant of quadratic ax²+bx+c is ...

  d = b² -4ac

Your given expression has ...

Substituting these values into the formula for the discriminant, we get ...

  d = 4² -4(4)(1) = 16 -16 = 0

The discriminant of the polynomial is 0.

The true about the sum of the two polynomials- 6s^2t – 2st^2 and 4s^2t – 3st^2 is The sum is a binomial with a degree of 3.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

Now the given polynomials are,

6s^2t – 2st^2 and 4s^2t – 3st^2

Now adding these two polynomials we get,

Sum of polynomials = 6s^2t – 2st^2 + 4s^2t – 3st^2

Taking alike terms together,

= 6s^2t + 4s^2t – 2st^2 – 3st^2

Now simplifying we get,

= 10s^2t – 5st^2

Here we see that the highest power of a variable is 2.

Thus this sum of polynomials is a binomial.

Now sum of the powers of variable s and t = 2 + 1 = 3

Thus, Degree of the sum of polynomials is 3.

Thus, the true about the sum of the two polynomials- 6s^2t – 2st^2 and 4s^2t – 3st^2 is The sum is a binomial with a degree of 3.

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-3h is value of function j(x +h)-j(x) .

What is functions ?

j(x) = 3x-1

J(x + h ) = 3 ( x + h ) + 1

put the value

j(x +h)-j(x) = 3x-1 -  3 ( x + h ) + 1

                = 3x - 1 - 3x -3h + 1

                = -3h

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Answer:

Step-by-step explanation:

Hi bro my question got deleted

here it is There is a number such that for times the number plus 3 is equal to 19. Find the number

They said its sexuly abuse and all that stuff can you please help me?

In the equation y = 2x + 3, the value of y when we substitute -3 for x is -3.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

To evaluate an equation means to substitute a value to the variable and perform the arithmetic operations included.

Given the equation y = 2x + 3, if we substitute -3 for x, the equation becomes

y = 2(-3) + 3

Performing the arithmetic operations, we can have the value of y.

y = 2(-3) + 3

y = -6 + 3

y = -3

Hence, for the equation y = 2x + 3, y is -3 when x is -3.

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