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Gennadij [26K]
3 years ago
6

The ratio of the units digit to the tens digit in a two-digit number is one-half. the tens digit is two more than the units digi

t. find the number.
Mathematics
1 answer:
vodomira [7]3 years ago
5 0
Let the first digit of the 2-digit number be x and the second digit be y.
Then the ratio (x/y) equals (1/2).  Write a formula for y in terms of x.

The tens digit is 2 more than the units digit.  Using the letters x and y, write out the proper equation.

Now solve your two equations simultaneously for x and y.
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If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

8 0
2 years ago
Graph the line y=−3x+b if it is known that the graph goes through point:
Gemiola [76]

Answer:

А(0/6;-2) и B(-5.6;17)

Step-by-step explanation:

(-2;4) поставь координаты место (x;y)

Например: 4=-3*(-2)+b, найдите b, а затем нарисуйте график.

Я отправила вам фото. Там всё написано и график тоже

8 0
3 years ago
Ariel joined a biking club . She paid $74.51 for a bike tune-up, 54.95 for a helmet, and 32.49 each for 3 bike tours. Write an e
jolli1 [7]
74.51+54.95+3(32.49)=?
5 0
3 years ago
I need help on this question plz
11Alexandr11 [23.1K]

Line of symmetry is the line which cuts the figure into two same halves

or we can say that which passes through the figure such that it makes one half the mirror image of the other half

So we can see from the figure that y=-2 is the line which cuts the figure in to equal halves

So

y=-2

Third option

6 0
3 years ago
Which of the following rotational symmetry is applied to the regular not​
olya-2409 [2.1K]

9514 1404 393

Answer:

  • yes
  • yes

Step-by-step explanation:

A regular nonagon has vertices that are 360°/9 = 40° apart. Any rotation by a multiple of 40° will make the figure indistinguishable from the original.

Rotational symmetry of 40° applies.

Rotational symmetry of 200° applies.

6 0
2 years ago
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