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3 years ago

. Write the equation of a line in the graph below.

Mathematics

2 answers:

Nonamiya [84]3 years ago

5 0

The correct answer is b. Y= 3x -2

Dmitry_Shevchenko [17]3 years ago

4 0

Answer:

Step-by-step explanation:

The y intercept is (0,2) so you can eliminate A and C because they have -2 and the slope is negative so you can eliminate B because it has a slope of +3 so you are left with D.

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F(x) = 4x^2 - 3x + 2kx + 1

dybincka [34]

$f(x)=4x^2-3x+2kx+1=4x^2+(2k-3)x+1\\\\a=4;\ b=2k-3;\ c=1\\\\function\ has\ two\ zeros\ when\ \Delta=b^2-4ac > 0\\\\\Delta=(2k-3)^2-4\cdot4\cdot1=4k^2-12k+9-16=4k^2-12k-7 > 0\\\\a_k=4;\ b_k=-12;\ c_k=-7\\\\\Delta_k=(-12)^2-4\cdot4\cdot(-7)=144+112=256\\\\k_1=\frac{-b_k-\sqrt{\Delta_k}}{2a_k};\ k_2=\frac{-b_k+\sqrt{\Delta_k}}{2a_k}$

$\sqrt{\Delta_k}=\sqrt{256}=16\\\\k_1=\frac{12-16}{2\cdot4}=\frac{-4}{8}=-\frac{1}{2};\ k_2=\frac{12+16}{2\cdot4}=\frac{28}{8}=\frac{7}{2}\\\\a_k=4 > 0\ (up\ parabola\ arms-see\ the\ picture)\\\\Answer:k\in(-\infty;-\frac{1}{2})\ \cup\ (\frac{7}{2};\ \infty)$

6 0

2 years ago

Carly is buying deli meat for her lunches this week. Turkey is on sale for $5.80 per pound. If Carly buys 1.25 pounds of turkey,

alisha [4.7K]

Answer:

Carly will have to spend $7.25

Step-by-step explanation:

We know that:

1 pound of turkey = $5.80

To find how much 1.25 pounds of turkey will cost, multiply:

5.80 x 1.25 = 7.25

Therefore, 1.25 pounds of turkey will cost $7.25

I really hope this helps!

-SpaceMarsh

8 0

2 years ago

Read 2 more answers

Write an equation of a circle that is centered at (1,-4) with a radius of 10.

alexdok [17]

Answer:

$(x-1)^2 + (y+4)^2 = 100\\\\$

=====================================================

Work Shown:

$(x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\$

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

5 0

2 years ago

Read 2 more answers

PLEASE HELP! due tmr! 24 26 55 99

SVETLANKA909090 [29]

Answer:

99°

Step-by-step explanation:

Internal Angles of triangles ALWAYS add up to 180°

So, 180° is our total.

We can form an equation. x° + 55° + (4x - 5)° = 180°

We can remove the brackets to form; x° + 55° + 4x° - 5° = 180°

We can get rid of the like terms by either adding or subtracting them.

x° + 4x° + 55° - 5° = 180°

5x° + 50° = 180°

We can then subtract 50° from both sides.

5x° = 180° - 50°

5x° = 130°

We then make x the subject and divide both sides by 5°

x = 26

x was our unknown so where there is x we put 26

The angle on the far left is simply 26°

The other angle, (4x-5)° becomes (4(26) - 5)°

If you simplify that, you get (104-5)°

Hence the last angle was 99°

If you want to ensure that your answer is correct, simply add the angles. They should always add up to 180° if you're working with a triangle

55° + 26° + 99° = 180°

7 0

2 years ago

Read 2 more answers

Do you like my drawing

rosijanka [135]

Answer:

yes!!!

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers