Find the value of the expression 2x squared + 3y squared - 17 when x = 3 and y = 4

Answer:

y = 3x

Step-by-step explanation:

Parallel lines have the same slope, so the slope of this new line will be the same as the given one.

For a line to pass through the origin it needs to have a y intercept of 0, because the origin is the point (0,0).

Answer:y = 3x

Step-by-step explanation:

Answer:

there are 0 significant digits

Step-by-step explanation:

0.0005 has 1 significant digit which is 5

25.725 has 5 significant digits

Answer:

(-9,3)

Step-by-step explanation:

(-9,3)

Also written as -9≤X≤3

Answer:

True

Step-by-step explanation:

The other person is wrong

The value π/16 is a solution for the equation 2cos²(4x) – 1 = 0, is true.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The value π/16 is a solution for the equation 2cos²(4x) – 1 = 0.

Put x = π/16, we have

2cos²(4x) – 1 = 0

2cos²[4 (π/16)] – 1 = 0

2cos²(π/4) – 1 = 0

We know that cos (π/4) = 1/√2

2(1/√2)² – 1 = 0

  2 (1/2) – 1 = 0

           1 – 1 = 0

                0 = 0

Thus, the statement is true.

More about the trigonometry link is given below.

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Answer:

Answer:

70 students

Step-by-step explanation:

Answer:

[tex]2\sqrt{21}[/tex]

Step-by-step explanation:

We can multiply the two irrational terms, getting [tex]\sqrt{84}[/tex].

We see that 4 is a factor of 84, so we can rewrite [tex]\sqrt{84}[/tex] as [tex]\sqrt{4 (21) }[/tex]. We can take the 4 out, getting [tex]2\sqrt{21}[/tex].

Answer:

A. 2√5 + √35

Step-by-step explanation:

Product means multiplication

√5(2+√7)

= 2 × √5 + √5 × √7

= 2√5 + √35

Option A is correct

B. √45

√5(2+√7)

=√5 * 2 + √5 * √7

=√10 + √35

=√45

Option B is incorrect

C. 2√5 + 2√7

√5(2+√7)

=2√5 + 2√7

Option C is incorrect

D. √10 + √35

√5(2+√7)

=√5 * 2 + √5*√7

=√10 + √35

Option D is incorrect

Answer:

68 cm

Step-by-step explanation:

√289 = 17

each side is 17 cm

17 * 4 = 68 cm

Question 14, Part (i)

Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,

A+B+C+D = 360

A+90+C+90 = 360

A+C+180 = 360

A+C = 360-180

A+C = 180

Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.

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

Question 14, Part (ii)

Let

x = measure of angle 1

y = measure of angle 2

z = measure of angle 3

Back in part (i) above, we showed that y + z = 180

Note that angles 1 and 2 are adjacent to form a straight line, so we can say

x+y = 180

-------

We have the two equations x+y = 180 and y+z = 180 to form this system of equations

[tex]\begin{cases}x+y = 180\\y+z = 180\end{cases}[/tex]

Which is really the same as this system

[tex]\begin{cases}x+y+0 = 180\\0+y+z = 180\end{cases}[/tex]

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.

Step-by-step explanation:

Yaa's age = 10 years

Kwasi's age = 20 years

They share the mangoes in the ratio of their ages

That's

10 : 20 = 1 : 2

Total number of mangoes = 60

Total parts = 1 + 2 = 3

= 2 × 20

Hope this helps you

Answer:

Yaa gets 20 oranges while Kwasi gets 40 oranges

Step-by-step explanation:

We will add both ages= 10+20=30

Then we will pick yaa's age/ their total ages multiplied by the amount of oranges= 10/30 * 60

yaa will get= 600/30 = 20 oranges

Then Kwasi's age/their total ages multiplied by the amount of oranges= 20/30* 60=

1200/30= 40 oranges

Answer: Constructing a circle of any arbitrary radius.

Step-by-step explanation:

When trying to construct an inscribed square and also an inscribed equilateral triangle, one step which is same for both procedures is the construction of a circle with an arbitrary radius because both shapes would be inscribed inside the circle been drawn. So the step involving the drawing of the circle is same for both.

Answer: Set the compass width to the radius of the circle.

Step-by-step explanation:

Answer:

C. y, y + 2, 2y + 14

Step-by-step explanation:

Given

[tex]Volume = 2y^3 + 15y^2 + 28y[/tex]

Required

Determine which set of dimensions is applicable

The volume of a rectangular prism is calculated as:

[tex]Volume = Length * Width * Height[/tex]

So, to solve this question, we have to test each options using the above formula

A. y, y + 4 and 2y + 7

[tex]Volume = y * (y + 4) * (2y + 7)[/tex]

Open brackets

[tex]Volume = y * (y * 2y+ 4* 2y + y * y+ 4* 7)[/tex]

[tex]Volume = y(2y^2+ 8y + y^2+ 28)[/tex]

[tex]Volume = 2y^3+ 8y^2 + y^3+ 28y[/tex]

Collect Like Terms

[tex]Volume = 2y^3 + y^3+ 8y^2+ 28y[/tex]

[tex]Volume = 3y^3+ 8y^2+ 28y[/tex]

B. y, y + 7, 2y + 4

[tex]Volume = y * (y + 7) * (2y + 4)[/tex]

Open brackets

[tex]Volume = y * (y * (2y + 4)+ 7* (2y + 4))[/tex]

[tex]Volume = y * (2y^2 + 4y+ 14y + 28)[/tex]

[tex]Volume = y * (2y^2 + 18y+ 28)[/tex]

[tex]Volume = 2y^3 + 18y^2+ 28y[/tex]

C. y, y + 2, 2y + 14

[tex]Volume = y * (y + 2) * (2y + 14)[/tex]

Open brackets

[tex]Volume = y * (y* (2y + 14) + 2* (2y + 14))[/tex]

[tex]Volume = y * (2y^2 + 14y + 4y + 28)[/tex]

[tex]Volume = y * (2y^2 + 18y + 28)[/tex]

[tex]Volume = 2y^3 + 18y^2 + 28y[/tex]

There's no need to check the last option because option c answers the question.

Hence, the dimension is y, y + 2, 2y + 14

Answer:

no the first one is -4 and the other one is positive 4

Answer:Yes

Step-by-step explanation:

Just take away the (4)

Answer:

The answer is:

y =  x/x  −2

Answer:[tex]f^{1}=\frac{2x}{x-1}[/tex]

Step-by-step explanation:

Write f(x) =x/x-2 as an equation

[tex]f(x)=\frac{x}{x-2}[/tex]

Interchange the variables

[tex]x=\frac{y}{y-2}[/tex]

solve for y, multiply equation by y-2.

[tex]y=\frac{2x}{x-1}\\[/tex]

replace y with [tex]f^{1}[/tex](x)

you get the above answer.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: Rs \: 200}}}}}[/tex]

Step-by-step explanation:

Given,

Selling price ( SP ) = Rs 230

Profit % = 15 %

Cost price ( CP ) = ?

Finding the Cost price

[tex] \boxed{ \sf{cost \: price = \frac{selling \: price \times 100}{100 + profit \: \%}}} [/tex]

plug the values

⇒[tex] \sf{ \frac{230 \times 100}{100 + 15 \: }} [/tex]

Muliply the numbers : 230 and 100

⇒[tex] \sf{ \frac{23000}{100 + 15}} [/tex]

Add the numbers : 100 and 15

⇒[tex] \sf{ \frac{23000}{115} }[/tex]

Divide 23000 by 115

⇒[tex] \sf{200}[/tex]

Cost price ( CP ) = Rs 200

Hope I helped!

Best regards!!

Answer:

I believe the answer is B.

Step-by-step explanation:

Answer:

Answer is 18

Step-by-step explanation:

OK please follow me friends

Answer:

Balance is $260.

Step-by-step explanation:

4% of $250

= 0.04 * 250

= $10.

250 + 10 = $260.

Answer:

f(x) = -x^2 + x + 13 find f(9) = -59

Hope this helps :)

Answer:

f(9)= -59

Step-by-step explanation:

First, put 9 into x; which gives you...

f(9)= (-9)^2+9+13

f(9)= -81+9+13

f(9)= -59

Answer:

1). |(-3) - 8|

2). 11 units

Step-by-step explanation:

If the given numbers are 'x' and 'y', distance between these numbers will be represented by the absolute value expression,

Distance = |x - y|

Given numbers are (-3) and 8.

Therefore, expression for the distance between these points will be,

Distance = |(-3) - 8|

Distance between these points will be = 11 units

Answer:

its 1,4,6 on edge

Step-by-step explanation:

These are symptoms of schizophrenia is -

expressing emotions less intensely

seeing something that is not there

having disorganized thoughts

Schizophrenia is a chronic brain disorder that affects the mental ability of the population.

Symptoms can include ;

delusions - being imaginary

hallucinations - loss of sense of reality

disorganized speech - not speaking clearly

the trouble with thinking - disorganized thoughts

lack of motivation -

Trouble concentrating - Not able to focus

Thus, these are symptoms of schizophrenia is -

expressing emotions less intensely

seeing something that is not there

having disorganized thoughts

Learn more about schizophrenia,

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Answer:

∠A + ∠C=90°(Right angle triangle)

37+∠C=90°

∠C=90°-37°

∠C=53°

Hope it helped you:)

Answer:

∠A + ∠C=90°(Right angle triangle)

37+∠C=90°

∠C=90°-37°

∠C=53°

Step-by-step explanation:

Answer:

a = 4

Step-by-step explanation:

a + 2 = 6

Subtract 2 from both sides

a + 2 - 2 =  6 - 2

           a = 4

Answer:

4

Step-by-step explanation:

6 - 2 = 4

Answer:

[tex]\huge \boxed{\mathrm{C}}[/tex]

Step-by-step explanation:

The domain is the set of all possible values for x.

The function does not cross the line x = 1.

The domain is all real numbers except  1.

The range is the set of all possible values for y.

The function does not cross the line y = 0.

The range is all real numbers except 0.

Answer:

1. Yes, 1 position backwards

2. Yes, a free blueberry muffin and a free slice of carrot cake

b. Yes

3. 19 prizes

Step-by-step explanation:

The given conditions for winning a prize are as follows;

The prize that every 5th customer gets = A free bagel

The prize that every 9th customer gets = A free blueberry muffin

The prize that every 12th customer gets = A free slice of carrot cake

Therefore, the prizes will go to the 5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th positon customers

1. Diego being 23rd is right for thinking that he should get farther back in line in order to get a prize

He should get one position behind to 24th position

The reason is because prizes will be given to every 12th customer, and the 24th customer is the second 12th customer

2. Yes Jada will get a price as her position corresponds to the consecutive 9th and 12th customers position

Jada will get a free blueberry muffin and a free slice of carrot cake

b. It is possible for Jada to get more than one prize

This is so because her position coincides with the consecutive 9th and 12th customers position

3. The number prizes that Lin's uncle gives away are;

5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th = 17 prizes

including 1 extra prize each for the 36th and 45th customers which gives a total of 19 prizes.

Answer:

P(prize)= 2/7

Step-by-step explanation:

The probability of getting a prize can be found by dividing the number of favorable outcomes by the total number of outcomes.

P (prize) = favorable / total

The favorable outcome is a prize and there are 10 prizes.

P (prize) = 10 / total

There are 10 prizes and 25 blanks. Add 10 and 25.

10 prizes + 25 blanks= 35 total outcomes

P (prize)= 10/35

This fraction can be simplified. Both the numerator and denominator can be evenly divided by 5.

P(prize)= (10/5) / (35/5)

P(prize) = 2 / (35/5)

P(prize)= 2/7

The probability of receiving a prize is 2/7

Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.

The ratio of between y-variable and x-variable would be constant.

Direct variation can be represented by the equation, [tex] y = xk [/tex], where k is a constant. Thus,

[tex] \frac{y}{x} = k [/tex]

From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).

Thus, ratio of y to x, [tex] \frac{0.50}{1} = 0.5 [/tex]

k = 0.5.

If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into [tex] \frac{y}{x} = k [/tex], should give us the same constant if proportionality.

Let's check:

When x = 2, and y = 1:

[tex] \frac{y}{x} = k [/tex],

[tex] \frac{1}{2} = 0.5 [/tex],

When x = 3, y = 1.5:

[tex] \frac{1.5}{3} = 0.5 [/tex],

When x = 5, y = 2.50:

[tex]\frac{2.5}{5} = 0.5[/tex],

The constant of proportionality is the same. Therefore, the relationship forms a direct variation.

Answer:

Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

Given

- b + 2c ← substitute b = 2 and c = - 2 into the expression

= - 2 + 2(- 2)

= - 2 - 4

= - 6