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3 years ago

1. f (x) = 5x + 10. If x = 10, then what is the value of f(x)?

Mathematics

1 answer:

UkoKoshka [18]3 years ago

3 0

Answer:

B: 60

Step-by-step explanation:

f(x)= 5x+10, if x=10

f(10)=5(10)+10

5(10)+10=60

f(10)=60

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Write the equation of the line that passes through the points (1,9) and (-1,1). Put

SpyIntel [72]

Answer:

Point slope form

y - 9 = 4(x-1)

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is 4 x - y +5=0

Step-by-step explanation:

Step(i):-

Given that the points are (1,9) and (-1,1)

slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }$

m = $\frac{1-9}{-1-1}$

m = 4

step(ii):-

Equation of the straight line passing through the point (1,9) and slope 'm' = 4

y-y₁ = m( x-x₁)

y - 9 = 4(x-1)

y -9 = 4x-4

4 x - y -4+9 =0

4 x - y +5=0

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is 4 x - y +5=0

7 0

2 years ago

Would somebody let me use their brainly so i can do work

Burka [1]

Answer:

just watch the ads

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

what is the common ratio of the geometric sequence below? –96, 48, –24, 12, –6, ... a, -2 b,-1/2 c, 2 d, 1/2

marysya [2.9K]

Answer:

Option b is correct.

The common ratio for the given geometric sequence is; $\frac{-1}{2}$

Step-by-step explanation:

The given sequence is; -96, 48 , -24, 12 , -6, .....

Since, given sequence is Geometric

Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)

In general we write geometric sequence as;

$a , ar, ar^2, ar^3 , .....$

where a be the first term and r is the common ratio.

On comparing the given sequence with general geometric sequence;

we get

a = -96 ......[1]

ar = 48 ......[2]

ar^2 = -24 .....[3]

and so on....

To find the common ratio i.e, r;

Divide equation [2] by [1];

$\frac{ar}{a} =\frac{48}{-96}$

Simplify:

$r = \frac{-1}{2}$

Similarly,

by dividing the equation [3] by [2] we get;

$\frac{ar^2}{ar} = \frac{-24}{48}$

Simplify:

$r = \frac{-1}{2}$

As, you can see that the value of r is constant i.e, $r= \frac{-1}{2}$ in the given sequence.

Therefore, the common ratio for the given geometric sequence is; $r= \frac{-1}{2}$

8 0

3 years ago

Read 2 more answers

3x^2+6x-9=0 complete the square

PolarNik [594]

You could simplify this work by factoring "3" out of all four terms, as follows:

3(x^2 + 2x - 3) =3(0) = 0

Hold the 3 for later re-insertion. Focus on "completing the square" of x^2 + 2x - 3.

1. Take the coefficient (2) of x and halve it: 2 divided by 2 is 1
2. Square this result: 1^2 = 1
3. Add this result (1) to x^2 + 2x, holding the "-3" for later:
x^2 +2x
4 Subtract (1) from x^2 + 2x + 1: x^2 + 2x + 1 -3 -1 = 0,
or x^2 + 2x + 1 - 4 = 0
5. Simplify, remembering that x^2 + 2x + 1 is a perfect square:

(x+1)^2 - 4 = 0

We have "completed the square." We can stop here. or, we could solve for x: one way would be to factor the left side:

[(x+1)-2][(x+1)+2]=0 The solutions would then be:

x+1-2=0=> x-1=0, or x=1, and
x+1 +2 = 0 => x+3=0, or x=-3. (you were not asked to do this).

3 0

2 years ago

What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?

kherson [118]

158, because to solve this question we first need to know the formula for finding the surface area of a rectangular prism which is A=2(wl+hl+hw) then you just need to input the numbers like so A=2(5*3+8*3+8*5) then when you simplify this down you get A=2(79) then distribute like so so A=158

Enjoy!=)

8 0

2 years ago