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neonofarm [45]
3 years ago
10

For which value of a are all the solutions of 2(x-5)>3x+a less than or equal 5?

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0
2(x-5)>3x+a \\
2x-10 > 3x+a \\
2x-3x>a+10 \\
-x>a+10 \ \ \ |\times (-1) \\
x

The solutions must be less than or equal to 5.
-a-10 \leq 5 \\
-a \leq 5+10 \\
-a \leq 15 \ \ \ |\times (-1) \\
a \geq -15

All the solutions are less than or equal to 5 for a≥-15.
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Answer:

y=4x+3

Step-by-step explanation:

Find the intercept - that is 3

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In the diagram shown of circle A, tangent MB is drawn along with chords BAC and BF . Secant MFE intersects BAC at G. It is known
mote1985 [20]

Answer:

  • arc BF = 76°
  • ∠M = 31°
  • ∠BGE = 121°
  • ∠MFB = 111°

Step-by-step explanation:

(a) ∠FBM is the complement of ∠FBC, so is ...

  ∠FBM = 90° -52° = 38°

The measure of arc BF is twice this angle, so is ...

  arc BF = 2∠FBM = 2(38°)

  arc BF = 76°

__

(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...

  ∠M = (1/2)(138° -76°) = 62°/2

  ∠M = 31°

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(c) arc FC is the supplement to arc BF, so has measure ...

  arc FC = 180° -arc BF = 180° -76° = 104°

∠BGE is half the sum of arcs BE and FC, so is ...

  ∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2

  ∠BGE = 121°

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(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...

  ∠MFB = 180° -∠M -∠FBM = 180° -31° -38°

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3 0
4 years ago
I need help with this problem.<br><br>​
Maksim231197 [3]

Answer: y = -1/4x - 4

Step-by-step explanation:

y = (-1/4)x + 2 (This is the first linear function.)

(4,3) has slope of (-1/4)x  or (1/-4)x

4(y2) - 4(y1= the new y  -1(x2) -3(x1) = new x which leads to (0,-4) so y-intercept = -4

so all in all, y = (-1/4)x -4 is the answer

Hopefully, you're able to understand this. It's difficult to explain through typed words rather than visually and through a written example.

6 0
3 years ago
Read 2 more answers
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Shalnov [3]

The correct answer is

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we have given that The column on the right is labeled speed of light in meters per second and are all times 10 Superscript 8 Baseline with entries 2. 25, 2. 99, 1. 97, 1. 24.

<h3>What happened when light travels through the different media?</h3>

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light changes both wavelength and speed when it travels through different media, but the frequency remains the same.

Therefore the option c is correct that

Neither person is correct because light does not change frequency when it travels through different media

To learn more about the wavelength visit:

brainly.com/question/10728818

5 0
2 years ago
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aleksandrvk [35]

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7 0
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