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3 years ago

1

Mathematics

1 answer:

Leona [35]3 years ago

7 0

Given:

The inequality is:

$y>5x+3$

To find:

The y-intercept, slope and type of line (solid or dotted).

Solution:

The slope intercept form of a line is:

$y=mx+b$ ...(i)

Where, m is the slope and b is the y-intercept.

We have,

$y>5x+3$

The relation equation is:

$y=5x+3$ ...(ii)

On comparing (i) and (ii), we get

$m=5$

$b=3$

It means the slope is 5 and the y-intercept is 3.

The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.

Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.

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Simplify the following expression.<br> 2x^2-9-17x^2+10+7x

snow_lady [41]

Answer:

- 15x² + 7x + 1

Step-by-step explanation:

Given

2x² - 9 - 17x² + 10 + 7x ← collect like terms

= (2x² - 17x² ) + 7x + 1

= - 15x² + 7x + 1

5 0

3 years ago

Y=-x^2-x-3 find the X intercept for The parabola define by this equation

KengaRu [80]

To find the X intercept make y =0. Then factor out a negative on the side with the equation for each of the terms, so it becomes
0=-(x^2+x+3)
0=(x^2+X+3)
0-3=(x^2+X)
-3=x(X+1)
-3=X, X intercept -3,0
-3=(X+1)
-4=X, X intercept -4,0.
These are possible X intercepts you can check by using quadratic formula as well.

7 0

3 years ago

A jet travels 500 miles in 5 hours. What is the ratios of miles to hours?

tia_tia [17]

Answer:

different answers in step-by-step

Step-by-step explanation:

100 mph

100mi:1hr

100mi/1hr

3 0

3 years ago

Use the Law of Cosines to find angle round to the nearest tenth if necessary).

ad-work [718]

Answer:

Step-by-step explanation:

3a)

find side HP , let's set side HP = c in the law of cosines formula

then

c = sq rt [ 23^2 + 12^2 - 2*12*23*cos(117) ]

c = sq rt [ 529 + 144 - (-250.6027559) ]

c = sq rt [ 673 + 250.6027559 ]

c = sq rt [ 923.602755 ]

c = 30.39

then

HP = 30.4 ( rounded to nearest 10th )

3b)

let PR = c, then law of cosines is (we need angle Q also 180=24+97+Q is 59°

c = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]

c = sq rt [ 81 + 484 -396*0.5150380 ]

c = sq rt [ 565 - 203.955 ]

c = sq rt [ 391.04495]

c = 19.7748

PR = 19.8 ( rounded to nearest 10th )

3c)

they want us to find ∠B, in the formula for cosines ∠B is really ∠C, it's a bit confusing.. I'm sure they did that on purpose to mess people up. Kind of underhanded :/ Tell the teacher that you're "appalled" at the deviousness of the test :/ stage a protest against math that teaches treachery :P storm the principals/ dean's office with paper airplanes and pictures of anime :DDD okay back to math.

a=28

b=17

c=15

since we want angle B then the formula looks like

B= arcCos ( a^2 + c^2 - b^2 / 2*a*c) so we'll avoid messing up the which side is which ... by setting up the formula this way .. got it?

B = arcCos [28^2 + 15^2 - 17^2 / 2*28*15]

B = arcCos[784 + 225 - 289 /840 ]

B = arcCos[720/ 840]

B = arcCos[0.85714285]

B = 31.0027 °

that it came out so close to an integer I'm pretty sure it's right

∠B = 31 .0 ° ( rounded to the nearest 10th )

3d)

find ∠A

set it up carefully again, they are asking us to move the variable around again

a = 18

b= 28

c= 12

then the formula looks like

∠A = arcCos[ b^2 + c^23 - a^2 / 2*b*c ]

∠A = arcCos[28^2 + 12^2 - 18^2 /2*28*12 ]

∠A = arcCos[784 + 144 -324 / 672 ]

∠A = arcCos[604/672]

∠A = arcCos[0.8988095]

∠A =25.99797 °

∠A =26.0 ° ( rounded to nearest 10th)

7 0

3 years ago

Help please when I do the guadratic equation I’m doing something wrong

AnnZ [28]

Answer:

Graph A

Step-by-step explanation

The problem: y=2x^2+8x+3

1) You will need to determine the direction of the parabola, If a > 0 then the parabola opens upward, if a < 0 then the parabola opens downward.

2) If when doing this you get an imaginary solution, you would have no x intercepts. The first thing you need to do is find the x intercepts, you can do this by plugging in 0 for y, so this would give you 0=2x^2+8x+3. Once you have this you start by subtracting 3 from both sides, dividing 8 from both side, etc. (If you would like me to elaborate don't hesitate to ask!)

3) To find the graphs y intercept you plug in 0 for x, which gives you y=2(0)^2+8(0)+3, you do the same thing you did during the previous step for y. (Once again, I am willing to elaborate further if you need!)

4) You then need to find the vertex (h,k)

To find h: h= -b/2a

To find k: k = a(h)2 + b(h) + c

5) Once you've worked through this you can graph the point!

Hope this helped!

8 0

3 years ago