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
Dahasolnce [82]
3 years ago
7

Which equation has no solution?

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer:

<em>The equation which has no solution is 5 + 2(3 + 2x) = x + 3(x + 1) . </em>(see below for work)

Step-by-step explanation:

4(x + 3) + 2x = 6(x + 2)

4x + 12 + 2x = 6(x + 12)

4x + 2x = 6x

6x = 6x

x ∈ ℝ

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 4x = x + 3(x + 3)

11 + 4x = x + 3x + 3

11 + 4x = 4x + 3

11 = 3

x ∈ ∅ (CORRECT ANSWER)

5(x + 3) + x = 4(x + 3) + 3

5x + 15 + x = 4x + 12 + 3

6x + 15 = 4x + 12 + 3

6x + 15 = 4x + 15

6x = 4x

6x - 4x = 0

2x = 0

x = 0

4 + 6(2 + x) = 2(3x + 8)

4 + 12 + 6x = 6x + 16

4 ÷ 12 = 16

16 = 16

x ∈ ℝ

Hope this helps! :)

You might be interested in
Please answer question with work ♥️
vova2212 [387]

Answer:

r=201

d = 77 1/2

Step-by-step explanation:

6) First multiply left and right by 16, to get rid of the fraction:

r - 25 = 11*16

Now add 25 left and right:

r = 11*16 + 25 = 201


7) Add 5 left and right

2/5 d = 31

multiply by 5/2

d = 31 * 5/2 = 77 1/2

3 0
3 years ago
Can someone help me answer this question please
Minchanka [31]
9,6^2+18,8^2=X^2
92,16+353,44=X^2
X^2=445,6
X=21
7 0
2 years ago
Problem Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 g
tekilochka [14]

No.

30% of 220 is 66 and 55 is less than 66

5 0
3 years ago
Read 2 more answers
Triangle QRS is dilated according to the rule DO,2 (x,y).
Gemiola [76]

The correct options about the dilation are; Options A, B and E

<h3>How to interpret Dilated Objects?</h3>

From the given information, find attached a dilated image.

The scale factor is 2

QRS → Q'R'S' = (x,y) → 2(x,y)

The coordinates of ∆QRS are; Q (-3, 3), R (2, 4) and S (-1, 1)

To get the coordinates of Q'R'S', we would multiply each coordinate of the original triangle by the scale factor of 2 since the dilation is from the origin. In other words, each vertex of QRS is multiplied by 2 to get each of the vertex of Q'R'S'.

2(x, y) = (2x, 2y)

The coordinates of ∆Q'R'S' becomes: Q' (-6, 6), R' (4, 8), S' (-2, 2)

To determine the statements that are true about the image ΔQ'R'S,

Starting with ΔABC, we would draw the dilation image of the triangle with a center at the origin and a scale factor of 2.

A) DO, 2 (x, y) = (2x, 2y)

A dilation about the origin with a scale factor 2 is described using the above notation.

Q' = 2(-3,3) = [2(-3), 2(3)] = (-6, 6)

R' (4, 8) = 2(2,4) = [2(2), 2(4)] = (4, 8)

S' (-2, 2) = 2(-1,1) = [2(-1), 2(1)] = (-2, 2)

Thus Option A is correct.

B) Side Q'S' lies on a line with a slope of -1

Q' (-6, 6)

S' (-2, 2)

coordinate (x, y)

Slope = m = (change in y)/(change in x)

m = (6-2)/[-6-(-2)]

m = 4/(-6+2) = 4/-4

m = -1

Option B is correct

c) QR is longer than Q'R'

Length of QR (-3 to 2) = 5

Length of Q'R' (-6 to 4) = 10

QR is not longer than Q'R'

Option C is false

d) The vertices of the image are closer to the origin than those of the pre-image.

From the diagram, the vertices of the preimage are closer to the origin than those of the dilation image.

Option D is False

e) The distance from Q' to the origin is twice the distance from Q to the origin.

The distance from Q' to the origin (6 to 0) = 6

The distance from Q to the origin (3 to 0) = 3

The distance from Q' to the origin = 2(the distance from Q to the origin)

Option E is correct.

Read more about Dilated Objects at; brainly.com/question/10253650

#SPJ1

8 0
2 years ago
Jonah’s Restaurant reports net income of $20,000 during the year 2015. It distributes a dividend of $6,000 to its shareholders.
AlekseyPX
Retention ratio = (net income - dividends) / net income

retention ratio = (20,000 - 6000) / 20000 = 14,000/20,000 = 0.7 = 70%
3 0
3 years ago
Other questions:
  • Which expression is equivalent to 5y-3?
    8·1 answer
  • Express the function G in the form f∘g. (Enter your answers as a comma-separated list. Use non-identity functions for
    9·1 answer
  • A man was surprised when he found an old bank account statement in his mother’s attic. Money had been left for 30 years in a ban
    8·2 answers
  • if I play golf only on Saturday and jog every fourth day. if I play golf and jog on Saturday, how many days will it be before I
    5·1 answer
  • 11. An AC waveform has a peak voltage of 50 VAC. What's the
    13·1 answer
  • Find the value of the integral that converges.<br> ∫^0_-[infinity] x/x^2+3 dx.
    5·1 answer
  • What is 4 divided by 5/7
    5·1 answer
  • If z/3 = 6, what is z equal to?
    5·2 answers
  • There are 3 yellow skittles, 2 green skittles, and 4 red skittles.
    14·2 answers
  • Pls answer all 3 parts
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!