1. Exercise 18, section 3.1. Let D be the set of all students at your school and let M(s) be "s is a math major", let C(s) be "s is a computer science major" and let E(s) be "s is an engineering major". Express each of the following statements using quantifiers, variables and the predicates M(s), C(s), E(s). a. Every computer science student is an engineering student b. No computer science students are engineering students c. Some computer science students are also math majors.

Answer:

1 and 2

Step-by-step explanation:

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]          ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

[tex]y=a(x-4)^2+(-7)[/tex]

[tex]y=a(x-4)^2-7[/tex]

The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.

Putting a=1, we get

[tex]y=(1)(x-4)^2-7[/tex]

[tex]y=(x^2-8x+16)-7[/tex]             [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]y=x^2-8x+9[/tex]

Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].

Answer:

-4

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Isolate the variable x

x - 8 = -12

To isolate the variable, add 8 to both sides (this cancels the 8 out on the left side)

x - 8 + 8 = -12 + 8

x + 0 = -4

x = -4

Answer:

0.23

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

a 15

b 42

c 12

trust me

Answer:

Approximately : 135

Step-by-step explanation:

60sec x 3 = 180sec

45 x 3 = 135

Answer:

[tex]\frac{1}{4}[/tex]×2[tex]\pi[/tex]r=17.5[tex]\pi[/tex]

Step-by-step explanation:

Answer:

5/2 =

2.5

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

The angle with measure of 9x and the angle with measure of 3x are supplementary

9x + 3x = 180°

12x = 180 divide both sides by 12

x = 15

The angle with measure of 9x and angle a are supplementary as well

9x + a = 180

9×15 + a = 180

135 + a = 180 subtract 135 ftom both sides

a = 45°

Answer: I think there is only one

Step-by-step explanation:

Answer:

an infinite number

Step-by-step explanation:

Let's solve for y for both equations.

[tex]2x-3y=10\\-3y=10-2x\\y=\frac{2}{3}x-\frac{10}{3}[/tex]

[tex]-4x+6y=-20\\6y=4x-20\\y=\frac{4}{6} x-\frac{20}{6}[/tex]

By reducing fractions we get:

[tex]y=\frac{2}{3}x- \frac{10}{3}[/tex]

These two equations are EXACTLY the same.

Therefore, this system has an infinite number amount of solutions.

Using desmos graphing calculator, you can't see both lines because they're exactly the same line.

Answer:

False

Step-by-step explanation:

The people arent random

WHERE IS THE GRAPH. there needs to be a graph to answer the question

Answer:6

Step-by-step explanation:

Uop

no xdxdxdxdxdxxdxdxdxdxdxdxdxdxddxd

The inequality that represents this situation is x + y ≤ 8

Inequalities shows the non equal comparison between numbers or expressions.

Let x represent the number of small purses and y represent the number of big purses.

Given that She can make no more than 8 purses a week, hence:

x + y ≤ 8

The inequality that represents this situation is x + y ≤ 8

Find out more at: https://brainly.com/question/25285332

9514 1404 393

Answer:

  (d) ∠H ≅ ∠J

Step-by-step explanation:

We already know that ∠G is congruent to itself. If we show (by translation or other means) that ∠I ≅ ∠K, then we know that ΔGHI ~ ΔGJK. The third angle in each triangle will be congruent, too.

  ∠H ≅ ∠J

_____

The problem is concerned with angles, so the first two answer choices are irrelevant. If two angles are shown congruent, the triangles are congruent by AA similarity, so the third answer choice is incorrect.

Answer: D

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

Answer:

m<A = 69°

m<C = 69°

Step-by-step explanation:

From the question given above, the following data were obtained:

AB = AC

m<B = 42°

m<A =?

m<C =?

Since:

AB = AC

Therefore,

m<A = m<C

A + B + C = 180 (sum of angles in a triangle)

C + 42 + C = 180

Collect like terms

C + C = 180 – 42

2C = 138

Divide both side by 2

C = 138 / 2

C = 69°

Finally, we shall determine m<A. This can be obtained as follow:

m<A = m<C

m<C = 69°

Therefore,

m<A = 69°

➽ Let the cost price of the washing machine be a variable and apply the condition that the loss Juhi faced was 20% of the cost price, i.e., Rs. 13,500 is 80% of the cost price to form an equation. Solve the equation to get the answer.

➽ The selling price of the washing machine after bargain = Rs 13, 500

➽ percentage of loss she had in the bargain = 20 %

let the price paid by juhi be x

➽ Now interpreting the statement in the question

in mathematical form we get :

[tex] \implies[/tex] loss = Rs 2 / 10 × 2

[tex] \implies[/tex] Loss = Rs 2 / 10 × x

➽ According to the simple marketing norm, if we subtract the loss from the buying price, we will be getting the selling price for which Juhi sold the washing machine.

Profit / loss = purchasing price - Selling price

Substituting the values the above equation, we get;

[tex] \implies[/tex] 2 x / 10 = x - 13500

[tex] \implies[/tex] 2 x / 10 = x - 13500 / 2

On cross-multiplication, we get;

2 x = 10 ( x - 13500 )

[tex] \implies[/tex] 2 x = 10 x - 13500

[tex] \implies[/tex] 8 x = 13500

∴ x = 13500 / 8 = 16875

❑ Don’t get confused and take the 20% of the selling price while you solve, as you should be very clear that the percentage loss or profit are terms related to the actual pricing not to the price for which you crack the deal. The other way of thinking of this is that the selling price might vary from buyer to buyer depending on the bargain they put in, but the percentage should be defined from a fixed mark so that you can easily handle it. The reason that most products in the market have an MRP tag on it making it easier for all the sellers to handle their margins.

Answer:

P(500<  xˉ <510)≈0.95

Step-by-step explanation:

Khan Academy

Answer: C) 25

Step-by-step explanation:

x²+10x+ __=16+ __

Only the square of 5, 5², which is 25, can make the two factors plus equal to 10x, so we need to add 25.

Answer:

the answer is 4.8 brainy plss

Answer:

If all the bows are of equal size she will use 4.896 ft of ribbon for each bow

Step-by-step explanation:

24.48/5=4.896

Hope this helps :)

Answer:

60

Step-by-step explanation:

Answer: 1 is D and 2 is B I think

Step-by-step explanation: 1 is D because 59.2 + (-84.7) because D is the same thing as 59.2-84.7, just written differently. 2 is B because the longer line resembles -15 and the smaller line resembles 6. -9 is circled because its supposed to add up to -9, hence why it would be 6+(-15)=-9. Hope this helped :)

Answer:

rectangles, squares, and right triangles

Answer:

59cm

Step-by-step explanation:

Answer:

yaaa groooov

Step-by-step explanation: