1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lisabon 2012 [21]
2 years ago
7

4.

Mathematics
1 answer:
Degger [83]2 years ago
6 0

Answer:

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

Step-by-step explanation:

Let

Number of multiple-choice questions = x

Number of open-ended questions = y

x + y = 38 (1)

4x + 20y = 200 (2)

From (1)

x = 38 - y

Substitute x = 38 - y into (2)

4x + 20y = 200

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

y = 48/16

y = 3

Substitute y = 3 into (1)

x + y = 38

x + 3 = 38

x = 38 - 3

x = 35

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

You might be interested in
A right triangle has legs that are 21 in. and 25 in. long. What is the area of the triangle?
vfiekz [6]

Answer:

The area of the right triangle is 262.5

Step-by-step explanation:

6 0
3 years ago
Find 350 x 2 by rewriting 350 as 35 x 10 and using the associative property
oksano4ka [1.4K]

Answer:d 350*2 is 700.

3 0
3 years ago
Read 2 more answers
Please help a girl outtttt
jeyben [28]

Answer:

bottom of graph will move from (0,0) to point (1,3) after transformation

Step-by-step explanation:

given

original : f(x) = x^{2}

transformed; g(x) = (x-1)^{2} + 3

look at this way g(x) =  (x-h)^{2} + k

if (x-h), h>0, move h units to the right

if k>0, move k units up

the bottom of the graph will be at point (1,3)

3 0
3 years ago
For all of the Following use the function LaTeX: P\left(x\right)\:=\:\left(x+3\right)^2+2 . My original vertex is
PolarNik [594]

Answer:

A) Q(x) = (x + 3)² + 5, and the vertex is (-3, 5)

B) R(x) = (x - 3)² + 2, and the vertex is (3, 2)

C) S(x) = (x - 1)² - 5, and the vertex is (1, -5)

Step-by-step explanation:

The given function is P(x) = (x + 3)² + 2

The given function is a parabolic function in vertex form, f(x) = a·(x - h)² + k, and vertex, (h, k)

By comparison, the vertex of the function P(x) = (x + 3)² + 2 is (-3, 2)

A) A function f(x) translated α units UP gives

f(x) (translated α units UP) → f(x) + α

A translation of the function 3 units UP is given by adding 3 to the given function as follows;

Q(x) = P(x) + 3

∴ Q(x) = (x + 3)² + 2 + 3 = (x + 3)² + 5

Q(x) = (x + 3)² + 5, and the vertex by comparison to f(x) = a·(x - h)² + k, and vertex, (h, k) is (-3, 5)

B) A function f(x) translated <em>b</em> units RIGHT gives;

f(x) translated <em>b</em> units right → f(x - b)

∴ P(x) = (x + 3)² + 2 translated 6 units RIGHT gives;

P(x) = (x + 3)² + 2 (translated 6 units RIGHT) → R(x) = (x + 3 - 6)² + 2 = (x - 3)² + 2

R(x) = (x - 3)² + 2, and the vertex by comparison is (3, 2)

C) A function translated α units DOWN and <em>b</em> units RIGHT is given as follows;

f(x) \ translated \ by\  \dbinom{b}{a} \rightarrow f(x - b) - a

Therefore, the given function, P(x) = (x + 3)² + 2, translated 7 units DOWN and 4 units RIGHT gives;

P(x) = (x + 3)^2 + 5 \ translated \ by\  \dbinom{4}{-7} \rightarrow P(x - 4) - 7 = S(x)

S(x) = P(x - 4) - 7 = (x + 3 - 4)² + 2 - 7 = (x - 1)² - 5

P(x) = (x + 3)^2 + 5 \ translated \ by\  \dbinom{4}{-7} \rightarrow (x - 1)^2 - 5= S(x)

S(x) = (x - 1)² - 5, and the vertex by comparison is (1, -5)

7 0
3 years ago
What does air smell like?​
dmitriy555 [2]
Nothing except when it has been polluted
8 0
3 years ago
Read 2 more answers
Other questions:
  • Can anyone assist me on this​
    9·1 answer
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!<br><br> Multiply.<br><br> (2 − 5i)(3 + i)
    10·1 answer
  • True or false don’t lie
    9·2 answers
  • Caleb is 43.25 inches tall. his friend, greg, is 58.65 inches in height. what is their combined height?
    9·2 answers
  • What is the answer to 7x+3 (4x-8)=109
    14·1 answer
  • A serving of Ice cream contains 6400 calories. 1600 calories come from fat. What percent of the total calories come from fat
    6·2 answers
  • Find the sum of the first 7 terms of the following series, to the nearest integer.
    12·1 answer
  • Someone Help please with work!! 15pts​
    14·1 answer
  • A sum of rs.2520 is divided in the ratio 3:4 . find the part in each term.​
    8·1 answer
  • 6) Find the slope of the line.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!