All categories

2 years ago

Translate this phrase into an algebraic expression.

Mathematics

1 answer:

PtichkaEL [24]2 years ago

3 0

Answer:

n x 2 + 10

Step-by-step explanation:

All you need to do is apply this say to a number like 10 for ex: 10 x 2 + 10

= 20 + 10

= 30

Now do the same with n!

n x 2 + 10 and there is your answer!

You might be interested in

Given the parent function f(x)=x^2 in red, write the equation for the transformed function g(x) in green.

Nataly_w [17]

Answer:

g(x) = 2x² + 1

Step-by-step explanation:

The parabola got thinner, so to show that, you put a 2 before x² to show that the graph was dilated (or thinned) by a factor of 2 (Note: this number can also be negative, so if the dilation factor is negative, it's okay). Since the parabola shifts up by 1, you then add + 1 after x² to show the positive upward shift.

Your full equation would look like this: g(x) = 2x² + 1

Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.

5 0

3 years ago

Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.

Sphinxa [80]

Answer: $(r-s)^{2} = 28$

Step-by-step explanation:

$x^{2} -6x+9=-2+9$
$(x-3)^{2}=7$
$(x-3)= -\sqrt{7}$ or $\sqrt{7}$ <-- there's no plus/minus sign.

$(x-3) = -\sqrt{7}$
$x = 3 -\sqrt{7}$ <-- root.

$(x-3) = \sqrt{7}$
$x = 3+\sqrt{7}$ <-- root.

$[(3-\sqrt{7})-(3+\sqrt{7})]^{2}$
$(3-\sqrt{7} -3 - \sqrt{7})^{2}$ <-- don't forget to distribute the negative.
$(-2\sqrt{7})^{2}$
$(4)(7)$
$28$

4 0

3 years ago

Does the point (0, 37) satisfy the equation y = 79x - -37? yes no

AlexFokin [52]

Answer:

yes

Step-by-step explanation:

y = 79x - -37

37 = 79(0) - - 37

37 = 0 - - 37

37 = 37

5 0

3 years ago

Suppose you add 10% of a number to the number, and then you subtract 10% of the total. Is the result greater than, less then, or

anyanavicka [17]

Let's say the number is 9. 10% of 9 is 0.9. Add that to 9 and you would get 9.9. 10% of 9.9 is 0.99. Subtract and you would get 8.91. Then you could do the rest.

5 0

3 years ago

Domain and range of the function f(x)= 7x^5 PLEASE HELP I LITERALLY CANT DO IT

sineoko [7]

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

The domain is all x values, and the range is all y values.

Domain:

The domain is all real numbers except where the slope is undefined (a vertical line). In this case, no number makes the expression undefined, so the domain is:

all real numbers

Interval notation: (-∞,∞)

all negative numbers and positive numbers (all real numbers)

Set-Builder Notation: {x | x ∈ R }

Range:

The range is the set of all valid values. Graph the line and check. Since all values of y are valid, the range is:

all real numbers

Interval notation: (-∞,∞)

all negative numbers and positive numbers (all real numbers)

Set-Builder Notation: {x | x ∈ R }

:Done

3 0

2 years ago