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3 years ago

Evaluate the expression. [(12 x 5) - 10] : 5

Mathematics

1 answer:

dolphi86 [110]3 years ago

7 0

Answer:

Step-by-step explanation:

= [60-10] / 5

= 50/5

= 10

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I tried this few times can i get some help

mihalych1998 [28]

Answer:

Y=4 X= -6 or (-6,4)

Step-by-step explanation:

Okay so

3x+10y=22

-3x-8y=-14

basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
10y minus 8y gives us 2y.
22 minus 14 gives us 8

3x+10y=22

-3x-8y=-14

0+2y=8

Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

$\frac{2y}{2} = \frac{8}{2}$

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.

y= 4

Now we can fill in. You can pick any equation for this but I'm going to chose the first one.

3x+10y=22

we can fill in 4 for y

3x+10(4)=22

3x+40=22

Next we are going to subtract 40 on both sides.

3x+40=22

-40 -40

3x= -18

Next, we're going to divide -18 by 3.

$\frac{3x}{3} = \frac{ - 18}{3}$

The 3s cancel out leaving us x. -18 divided by 3 is -6.

x= -6

Hope this helped!! :)

6 0

3 years ago

Solve the inequality. - 16 - 4x _<0 The solution is x

Scrat [10]

Answer:

the answer for will be x≥-4

5 0

3 years ago

Put one half two fifths and six tenths in order from least to greatest.

Citrus2011 [14]

Six tenths, one half, two fifths

6 0

4 years ago

Read 2 more answers

How much greater was Maiami’s annual rainfall than Albany’s Albany 46.92 miami61.05

Ilia_Sergeevich [38]

Answer:

52.94

Step-by-step explanation:

61.06

-46.92

=52.94

just subtract them like the . isn't even there.

5 0

3 years ago

Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

Nataliya [291]

Answer:

$f(x)=\frac{1}{2}x^2-4x+5$

Step-by-step explanation:

A parabola is written in the form

$f(x)=a((x-h)^2+k)$ (1)

where:

$h$ is the x-coordinate of the vertex of the parabola

$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

$ak=-3$

From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

$f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3$ (4)

We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

So the equation of the parabola is:

$f(x)=\frac{1}{2}((x-4)^2 -6)$ (5)

Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

$f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5$

6 0

3 years ago