Solve the system of equations by elimination:
4b + 13c = -24
12b - 50 = 16
Hint: When you have variables that are not x and y, put them in alphabetical order in your ordered pair EX (b,c)
no solution
(1/2,-2)
(1/3, 4
(2,-2)

Answer:

[tex]Rate = -5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2x^2 - x - 4[/tex]

[tex]-4 \le x \le 2[/tex]

Required

Determine the average slope over the given interval

This is calculated as:

[tex]Rate= \frac{f(b) - f(a)}{b - a}[/tex]

Where:

[tex]a = -4[/tex]

[tex]b =2[/tex]

So:

[tex]Rate= \frac{f(2) - f(-4)}{2 - (-4)}[/tex]

[tex]Rate= \frac{f(2) - f(-4)}{2 +4}[/tex]

[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]

Solving for f(2) and f(-4), we have:

[tex]f(x) = 2x^2 - x - 4[/tex]

[tex]f(2) = 2 *2^2 -2 - 4[/tex]

[tex]f(2) = 2[/tex]

[tex]f(-4) = 2*(-4)^2 - (-4) - 4[/tex]

[tex]f(-4) = 2*16 +4 - 4[/tex]

[tex]f(-4) = 32[/tex]

So, the equation becomes

[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]

[tex]Rate= \frac{2 - 32}{6}[/tex]

[tex]Rate= \frac{-30}{6}[/tex]

[tex]Rate = -5[/tex]

Answer:

60

if its all of 60 the answer is 60

Step-by-step explanation:

have a great day

Here

cos25°=BC/AB=8/c

c=8/cos25°

so cos function is helpful here

really a dum.beannie

Answer:

b) cos25

c = 7.248 or 7.2

Step-by-step explanation:

Cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]

Cos 25 = [tex]\frac{8}{c}[/tex]

Cos of 25 is 0.906

0.906 = [tex]\frac{8}{c}[/tex]

Multiply 8 on both sides:

0.906 x 8 = [tex]\frac{8}{c}[/tex] x 8

7.248 = c

Answer:

The median is three, the mean is 3.5, the range is 6 and there is no mode.

Step-by-step explanation:

Answer for A:

x = -56/31

Step-by-step explanation:

The total angle for a pentagon is 360°

100 + 20(-56/31) + 140 + 160 - 5(-56/31) + 16(-56/31) + 16 = 360

100 + -36.1290322581 + 140 + 160 + 9.03225806452 + 28.9032258065 + 16 = 360

If you copy that into a calculator you will get

360°

Answer for B:

The angle for C, rounded to the nearest tenth, is 44.9°

Answer:26.9 feet

Step-by-step explanation:

SOH-CAH-TOA

\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}

tanM=

adjacent

opposite

​

=

x

74

​

\tan 70=\frac{74}{x}

tan70=

x

74

​

x\tan 70=74

xtan70=74

Cross multiply.

\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}

tan70

xtan70

​

=

tan70

74

​

Divide each side by tan 70.

x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}

x=

tan70

74

​

=26.9338≈26.9 feet

Type into calculator and roundto the nearest tenth of a foot.

L

M

N

74

26.9

(opposite of ∠M)

(adj. to ∠M)

(hypotenuse)

70°

Answer:

yes

Step-by-step explanation:

just plug in

2+3 is equal to 5 so that works

4(2)+13(3) is greater than 20 so that also works

Answer:

Yes

Step-by-step explanation:

I can explain more in-depth if you'd like, but basically plug in 2 where x is and plug in 3 where y is. The first equation would turn into 2 + 3 ≤ 5, which is correct, and the second equation would transform to 4(2) + 13(3) > 20. Multiply, then it'll be 8 + 39 > 20, then add 8 and 39 and it'll be 47 > 20, which is true. I hope I explained that well, but yes, (2, 3) is a solution :)

Answer:

Oy > 2x - 3

Step-by-step explanation:

because it has > so with will be on the left side

I also recommend Desmos because it helps you with these questions.

and that's what I used.

The inequality represented by the graph below is y > 2x - 3.

Option B is the correct answer.

An inequality is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

We have,

To graph an inequality, you need to identify the equation of the line or boundary that separates the two regions defined by the inequality.

This boundary can be a line, a curve, or even a plane in three dimensions.

Next, you need to determine which region to shade, based on whether the inequality symbol is less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥).

If the inequality symbol is less than (<) or greater than (>), the boundary line should be drawn as a dashed line since the points on the line are not included in the solution set.

Then, shade the region above the line if the symbol is greater than (>), or below the line if the symbol is less than (<).

If the inequality symbol is less than or equal to (≤) or greater than or equal to (≥), the boundary line should be drawn as a solid line since the points on the line are included in the solution set.

Then, shade the region above the line if the symbol is greater than or equal to (≥), or below the line if the symbol is less than or equal to (≤).

Finally, label the shaded region as the solution set and write the inequality symbol next to it.

From the given graph we see that,

y > 2x - 3 has the same graph.

Thus,

The inequality represented by the graph below is y > 2x - 3.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ7

Answer:

a) [tex]17\cdot x -6[/tex], b) [tex]-45\cdot x +48[/tex], c) [tex]518\cdot x^{2} +1306\cdot x -1012[/tex], d) [tex]\frac{-57\cdot x +40}{17\cdot x -6}[/tex], e) [tex]2\cdot \left(\frac{3\cdot x + 2}{31\cdot x - 27} \right)[/tex]

Step-by-step explanation:

Sean [tex]f(x) = 5\cdot x -14[/tex], [tex]g(x) = 12\cdot x + 8[/tex] y [tex]h(x) = 62\cdot x - 54[/tex]. A continuación, desarrollamos las siguientes operaciones:

a) [tex]f(x) + g(x)[/tex]

[tex](5\cdot x - 14) + (12\cdot x + 8)[/tex]

[tex]17\cdot x -6[/tex]

b) [tex]g(x) - [h(x)-f(x)][/tex]

[tex](12\cdot x + 8) - [(62\cdot x - 54)-(5\cdot x - 14)][/tex]

[tex]12\cdot x + 8 - (57\cdot x -40)[/tex]

[tex]12\cdot x +8 -57\cdot x +40[/tex]

[tex]-45\cdot x +48[/tex]

c) [tex][g(x)-f(x)]\cdot [h(x)+g(x)][/tex]

[tex][(12\cdot x + 8)-(5\cdot x -14)]\cdot [(62\cdot x -54)+(12\cdot x +8)][/tex]

[tex](12\cdot x +8 -5\cdot x +14) \cdot (62\cdot x -54+12\cdot x+8)[/tex]

[tex](7\cdot x +22)\cdot (74\cdot x-46)[/tex]

[tex]7\cdot x \cdot (74\cdot x - 46)+22\cdot (74\cdot x -46)[/tex]

[tex](7\cdot x)\cdot (74\cdot x) - 46\cdot (7\cdot x )+22\cdot (74\cdot x)-22\cdot (46)[/tex]

[tex]518\cdot x^{2}-322\cdot x +1628\cdot x -1012[/tex]

[tex]518\cdot x^{2} +1306\cdot x -1012[/tex]

d) [tex]\frac{f(x)-h(x)}{g(x) + f(x) }[/tex]

[tex]\frac{(5\cdot x - 14)-(62\cdot x - 54)}{(12\cdot x +8)+(5\cdot x -14)}[/tex]

[tex]\frac{-57\cdot x +40}{17\cdot x -6}[/tex]

e) [tex]\frac{g(x)}{h(x)}[/tex]

[tex]\frac{12\cdot x + 8}{62\cdot x - 54}[/tex]

[tex]\frac{4\cdot (3\cdot x +2)}{2\cdot (31\cdot x -27)}[/tex]

[tex]2\cdot \left(\frac{3\cdot x + 2}{31\cdot x - 27} \right)[/tex]

Answer:

- 2t³ + 4t² - t

Step-by-step explanation:

f(t) - g(t)

= 3t³ - 4t + 6t² - (5t³ + 2t² - 3t) ← distribute parenthesis by - 1

= 3t³ - 4t + 6t² - 5t³ - 2t² + 3t ← collect like terms

= - 2t³ + 4t² - t

Answer:

the first answer y=-8/5x+19.4

Step-by-step explanation:

Please tell me if the answer is right and if it is right click on thanks i appreciate it

Answer:

w = 4 ft

diagonal= 13 ft

l= 13^2-4^2=169-16 = sq root 153

=12.4 ft (approx)

Answer:

exit ticket

1.) 6+8x

2.) 18+6x^5

homework module 4 lesson 6

1.) 78

2.) 61

3.) 24

Step-by-step explanation:

Answer:

2 will give you the larger value of 17

Step-by-step explanation:

Answer:

Ummmm what’s the question?

Step-by-step explanation:

I will edit after you tell me what your question is.

Btw God bless you.have a great day!

Step-by-step explanation:

if you're asking how many text messages he sent in those two months then he sent 6924 messages.

Answer:

45158

Step-by-step explanation:

Since the colony grows at a rate of 12%, after 2 years there will be [tex]36000\cdot 1.12^2 = 45158.4[/tex] bacteria. Since you probably can't have part of a bacteria, you round to 45158.

Answer:

45158

Step-by-step explanation:

Since the colony grows at a rate of 12°/• , after 2 years there will be 36000.

1.12 power of 2 = 45158.4 bacteria.

And you cant have part of a bacteria

you round it to

45158.

Answer:

$7.07

Step-by-step explanation:

35.35/5=7.07

Answer:

16 - 9 = x

i thonk :0

or 16 - 9 = 7

Step-by-step explanation:

Answer:

1.8 is the h of the rhombus

Answer:

4.8 cm

Step-by-step explanation:

Answer:

b = 98

Step-by-step explanation:

hope this helps . thanks

Answer:

swimmy is closest to sea level

Answer:

maybe $825

Step-by-step explanation:

Im not sure but I think Its accurate

Answer:

8=117     7=63      9=63

Step-by-step explanation:

180-117 = 63

7 and 9 = 63

A straight line=180

Angles across from each other are the same

9 and 7 are the same, and 117 degrees and 8 are the same

Answer:

AB and CD - Parallel Lines

EF and CD - Perpendicular Lines

GH and EF - Neither Parallel nor Perpendicular Lines

Let me know if this helps!

Answer:

EF and CD ------- perpendicular lines

AB and CD --------parallel Lines

GH and EF --------- neither parallel nor perpendicular lines

Step-by-step explanation:

Parallel lines are lines that do not ever intersect

Perpendicular lines create 90 degree angles

neither is just neither

Answer:

where's the number line??