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3 years ago

How do you compare 492,111 and 409,867

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

6 0

By adding an < or >.

Aloiza [94]3 years ago

6 0

You compare them By adding a < or >

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Find k if the line y = kx-5 passes through the point (-6,14).

podryga [215]

Answer:

19/-6

Step-by-step explanation:

y=kx-5 (-6, 14)

14=k(-6)-5

14=-6k-5

-6k=14+5

-6k=19

k=19/-6

8 0

3 years ago

Create an equivalent expression that includes a set of parentheses that make the value of the expression 13. Remember, you can h

kenny6666 [7]

I don't think that you put parentheses around any numbers because when I solve it with parentheses between numbers I get other numbers like 16 or 17

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3 years ago

How much can 14 go into 16

Fantom [35]

Once, 14 divided by 16 equals 1 with a remainder of 2

4 0

4 years ago

If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo

amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

$(f \circ g)(x) = f(g(x))$

In this case:

$f(x) = 4x^2 - 8x - 20$

$g(x) = 2x + a$

$(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20$

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when $x = 0, f(g(x)) = 25$ . So

$4a^2 - 8a - 20 = 25$

$4a^2 - 8a - 45 = 0$

Solving a quadratic equation, by Bhaskara:

$\Delta = (-8)^2 - 4(4)(-45) = 784$

$x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5$

$x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5$

The possible values are a = -2.5 or a = 4.5.

5 0

3 years ago

Solve x/2 - 3 = 7. 5 10 20 40

earnstyle [38]

<span> x/2 - 3 = 7
Add 3 to both sides
x/2=10
Multiply 2 on both sides
Final Answer: B. 20</span>

3 0

3 years ago

Read 2 more answers