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Stella [2.4K]
3 years ago
7

Please help me with this question

Mathematics
1 answer:
vichka [17]3 years ago
5 0
Write the ratio out.

Number of hands Betty won : Number of hands Adam won

5:20

Both can be simplified by the common factor of 5.

1:4 is the solution.

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Equations of lines in slope intercept form: through (5,3) and (0,2)
frosja888 [35]

Answer:

y=(x/5)+2

Step-by-step explanation:

Slope = rise over run = (3-2)/(5/0) = 1/5

b = y-intercept = 2

4 0
2 years ago
Express 0.0057 in scientific notation
andrew-mc [135]

Answer:

5.7 \times  {10}^{ - 3}

Step-by-step explanation:

0.0057

first number

5

then the rest

7

equal

5.7

There's <u>three</u> zeros <u>behind</u> the number 5 which mean it will be -3

\times  {10}^{ - 3}

final answer

5.7 \times {10}^{ - 3}

another example and it will be clear

0.0000403

first number

4

then the rest

03

equal

4.03

There's <u>five</u> zeros <u>behind</u> the number 4 which mean it will be -5

\times {10}^{ - 5}

final answer

4.03 \times {10}^{ - 5}

3 0
3 years ago
1)y=4<br> 2)y=4x<br> 3)y=4x+4<br> 4)x=4
lina2011 [118]

Answer:

I think number letter shape 14

5 0
2 years ago
Read 2 more answers
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
timofeeve [1]

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the <u>left</u><em> </em>(I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all x \le -1.

5 0
3 years ago
Read 2 more answers
Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2
Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

<u>Given quadratic equation</u>:

5x^2-6x-2=0

<u>Define the variables</u>:

  • a = 5
  • b = -6
  • c = -2

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}

\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}

\implies x=\dfrac{6 \pm \sqrt{76}}{10}

\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}

\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}

\implies x=\dfrac{6 \pm2\sqrt{19}}{10}

\implies x=\dfrac{3 \pm \sqrt{19}}{5}

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}

Learn more about the quadratic formula here:

brainly.com/question/28105589

brainly.com/question/27953354

3 0
1 year ago
Read 2 more answers
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