What is true about the given function?

Answer:

[tex]-4(a + b = 6)[/tex]

Step-by-step explanation:

Given

[tex]a + b = 6[/tex]

[tex]4a + 2b = 19[/tex]

Required

Eliminate a

Multiply the first equation by -4

[tex]-4(a + b = 6)[/tex]

Add to the second equation

[tex]-4(a + b = 6) + (4a + 2b = 19)[/tex]

Solve brackets

[tex](-4a -4b = -24) + (4a + 2b = 19)[/tex]

Open bracket

[tex]-4a + 4a -4b + 2b = -24 + 19[/tex]

[tex]-4b + 2b = -24 + 19[/tex]

At this point, a has been eliminated;

From the list of given options, the option that answers the question is [tex]-4(a + b = 6)[/tex]

Let the number = x

Writing the equation you have:

10x + 15 <= -17

Solve for x

Subtract 15 from both sides:

10x <= -32

Divide both sides by 10:

X <= -32/10

Simplify:

X <= -16/5 as a fraction or -3.2 as a decimal

one pump, let's call it A, fills the reservoir by 1/60 every hour. Now, B fills it by 1/80 every hour. C empties it by 1/90 every hour. All three are on, so now we combine them into one function: t(1/60 + 1/80 - 1/90) = 1, where t = the time it takes to fill it, and 1 is just our "reservoir finally filled" marker.

isolate t onto one side and we see t = 720/13 exactly, or approximately 55.38 hours. let me know if this is the wrong answer but I'm pretty sure it is correct!

Answer:

1/time needed = 1/time of 1st pump + 1/time of 2nd pump - 1/time of 3rd pump

1/t = 1/t1 + 1/t2 - 1/t3

1/t = 1/60 + 1/80 - 1/90

1/t = 12/720 + 9/720 - 8/720

1/t = 13/720

t = 720/13 hours = 55.38 hours = 55 hours 23 minutes

Answer:

She can loosen weight by exercising. If she exercises for about 6-8 months she can loosen about 139 pounds. After loosing that much weight, she will weigh 40 lbs/pounds. She will then wear clothes of S(Small) size.

Step-by-step explanation:

Tried my best

Answer: c) 27:8

Step-by-step explanation:

As volume of cube is side^3

volume of cube with side 2a is 8.a^3

volume of cube with side  3a is 27.a^3

ration of volumes is 27:8

Answer:

EF is not parallel to HL.

Step-by-step explanation:

They are not parallel because angle HLG is not equal to angle EFG. If the two lengths WERE parallel, those two angles would be equal. Angle GHL would be equal to angle GEF, but they are not equal, either.

Hope this helps!

Answer:

30 mins

Step-by-step explanation:

if you add 10 mins to 2:50, it makes it 3:00, then you just add the 10 mins + the 20 mins (after 3pm) and you get 30

Answer:

y - 7 = (1/10)(x - 5)

Step-by-step explanation:

Next time please share the possible answers.  Thank you.

Any line perpendicular to y = -10x + 1 has the slope +1/10, which is the negative reciprocal of -10.

Using the point-slope formula, we get:

y - 7 = (1/10)(x - 5)

Answer: C)  [tex](-\dfrac{1}{2},\dfrac{3}{2})[/tex]

Step-by-step explanation:

The given system of equations :

[tex]2(y-x) = 5+2x\ \ ...(i)\\\\ 2(y+x)=5-2y\ \ ..(ii)[/tex]

Simplify left side, we get

[tex]2y-2x=5+2x\Rightarrow\ 2y-4x=5\ \ ...(iii)\\\\ 2y+2x=5-2y\Rightarrow\ 4y+2x=5\ \ ...(iv)[/tex]

Multiplying 2 on equation (iii), we get

[tex]4y-8x=10\ \ ...(v)[/tex]

Subtracting (v) from (iv) , we get

[tex]2x-(-8x)=5-10\\\\\Rightarrow\ 2x+8x=-5\\\\\Rightarrow\ 10x=-5\\\\\Rightarrow\ x=-\dfrac{5}{10}=-\dfrac{1}{2}[/tex]

Put value of [tex]x=-\dfrac{1}{2}[/tex] in (v), we get

[tex]4y-8(-\dfrac{1}{2})=10\\\\\Rightarrow \ 4y+4=10\\\\\Rightarrow\ 4y=10-4=6\\\\\Rightarrow\ y=\dfrac{6}{4}=\dfrac{3}{2}[/tex]

hence, the solution to the system is [tex](x,y)=(-\dfrac{1}{2},\dfrac{3}{2})[/tex]

Answer:

B. BD = 9

Step-by-step explanation:

Simply set the 2 equations equal to each other (both are congruent due to perpendicular bisector):

6x + 3 = 3x = 6

3x + 3 = 6

3x = 3

x = 1

Then substitute 1 for x in BD

6(1) + 3

6 + 3

BD = 9

Answer:

g(-2) = 0

Step-by-step explanation:

Since it is asking for g(-2), that means that we only have to worry about the equation g(x) = x^2+2x. When it asks for g(-2), that means you replace every "x" that shows up in the equation with -2.

So plugging in -2 for x we get g(-2)=(-2)^2+2(-2). Simplifying we get g(-2)=4+(-4). Now adding we finally get g(-2)=0

Answer:

3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 4) , thus

y = a(x - 2)² - 4

To find a substitute (3, - 1 ) into the equation

- 1 = a(3 - 2)² - 4 ( add 4 to both sides )

3 = a

Thus

y = 3(x - 2)2 - 4 ← equation in vertex form

   = 3(x² - 4x + 4) + 4

    = 3x² - 12x + 12 + 4

     = 3x² - 12x + 16 ← equation in standard form

with coefficient of x² term = 3

Answer:

x - 2y + 6 = 0  

Step-by-step explanation:

Going from (-2, 2) to (4, 5), we see that x (the 'run') increases by 6 and that y (the 'rise') increases by 3.  Thus, the slope of the line through these two points is m = rise / run = 3/6, or m = 1/2.

Starting with the slope-intercept formula y = mx + b, and using the x and y values from the point (-2, 2), we get

2 = (1/2)(-2) + b, or 4 = -2 + 2b, or 6 = 2b, or b = 3.  Then the slope-intercept form of the desired equation is y = (1/2)x + 3.  To obtain the standard form, we multiply all three terms of this result by 2, obtaining 2y = x + 6, or

x - 2y + 6 = 0                                                                        

Answer:

c. y>x

Step-by-step explanation:

When given a system of equations, one of many methods can be used to solve these types of systems. One of these includes substitution which involves solving for one variable that is included in another equation, and putting that equality in place of the variable.

Here is what I mean by this:

Given that 3x - 1/2y = 1, and x + 2y = 7, you can rearrange the x + 2y = 7 to solve for x by isolating it.

x + 2y = 7 → x = 2y - 2y = 7 - 2y [for an equation, what you do to one side, you must do to the other] → x = 7 - 2y.

Now that we have an expression which is equal to x.

We can directly replace that with the 3x in the other equation by multypling this by 3:

x = 7 - 2y → 3(x) - 1/2y = 1

3(7 - 2y) - 1/2y = 1

Now that we only have y's, we can simply the equation, and solve for y.

21 - 6y - 1/2y = 1

21 -13/2y = 1

(get rid of the constant on the left side by subtracting)

-21 -21

-13/2y = -20

(remove the denominator by Multiplying)

×2 ×2

-13y = -40

÷13 ÷13

(cancel out the coefficient by dividing)

-y = -40/13

(take the opposite of the other side to make y positive)

×-1 ×-1

y = 40/13.

Now that we have y just solve for x since we already have a term of x in the other equation:

y = 40/13 → x + 2y = 7

x + 2(40/13) = 7

x + 80/13 = 7

Then subtract both constants to find x:

x + 80/13 - 80/13 = 7 - 80/13

x = 7 - 80/13

(create like denominators, but Multipy

Answer:

X< 7/12

Step-by-step explanation:

Answer:

X< 7/12

Step-by-step explanation:

Answer:

f, g, and h only

Step-by-step explanation:

The letters are the variables.

Answer:

not sure,but I think the answer is 3 to 4

Answer:

x=0, 3/2, -1, -5/3

Step-by-step explanation:

The x-axis interception points of x(4x-6)(x+1)(3x+5): (0, 0), (3/2, 0), (-1, 0), (-5/3, 0)

The y-axis interception points of x(4x-6)(x+1)(3x+5): (0,0)

So the answer is 0, 3/2, -1, and -5/3.

Answer:

3/7

Step-by-step explanation:

to find the ratio of the number of votes that weren’t mayor jackson you do 56-32. the ratio will be 24/56. now you just simplify to get 3/7

Answer:

3/7

Step-by-step explanation:

Subtract 32,000 from 56,000 and you will get 24,000

24,000/56,000 is simplified to 3/7

Answer:

$30

Step-by-step explanation:

Ounces to pounds. 16oz in a pound.

40 / 16 = 2.5

12 x 2.5 = 30

You will pay $30 on shrimp.

Answer:

3.865 - has 4 significant digits.

2.4 -  has 2 significant digits.

Product = 3.865 × 2.4 = 9.276

So,

9.276 has 4 significant digits.

Answer:

D:9.3

Step-by-step explanation:

The other person is right but forgot to round the last number, for significant numbers.

Answer:25

Step-by-step explanation:

Hey there! :)

Answer:

y = 0, also known as the x-axis.

Step-by-step explanation:

The equation [tex]f(x) = \frac{2}{3} ^{x}[/tex] is an exponential function.

There is an asymptote at y = 0, or the x-axis because:

[tex]\frac{2}{3} ^{x}\neq 0[/tex]

An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.

Answer: C

Step-by-step explanation: I just did it on Khan Academy.

Answer:

C

Step-by-step explanation:

I got it correct on Khan.

Answer:

? = 21

Step-by-step explanation:

Parallel lines cut off proportional segments on transversals.

27/? = 18/14

18 * ? = 27 * 14

2 * ? = 3 * 14

? = 3 * 7

? = 21

Answer:

21

Step-by-step explanation:

Answer:

{ x ≠ ±6 ∪ x ≠ ± 6}

Step-by-step explanation:

x cannot be zero even though x can be cancelled in this expression.  Furthermore, x^2 - 36 cannot be zero, and thus x ≠ ±6.

Domain is { x ≠ ±6 ∪ x ≠ ± 6}

n starts at 1, and n is a positive whole number (1,2,3,...)

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

Explanation:

The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.

--------

a1 = 40 = first term

d = 10 = common difference

[tex]a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30\\\\[/tex]

is the general nth term of this arithmetic sequence

Plug in n = 1 and you should get [tex]a_1 = 40[/tex]

Plug in n = 2 and you should get [tex]a_2 = 50[/tex]

and so on

Answer:

-15y^6z^{10}+35y^4z^6

Step-by-step explanation:

used an equation calculator