Use the drawing tools to form the correct answer on the graph.
Graph this system of equations on the coordinate plane:
y = -31 + 3
y = 3x - 4
Use the Mark Feature tool to indicate the solution to the system on the graph.

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{28 + 24p = 36}[/tex]

[tex]\textsf{24p + 28 = 36}[/tex]

[tex]\large\textsf{SUBTRACT 28 to BOTH SIDES}[/tex]

[tex]\textsf{24p + 28 - 28 = 36 - 28}[/tex]

[tex]\large\textsf{CANCEL out: 28 - 28 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 36 - 28 because that helps solve for the p-value}[/tex]

[tex]\textsf{36 - 28 = \bf 8}[/tex]

[tex]\large\textsf{NEW EQUATION: 24p = 8}[/tex]

[tex]\large\textsf{DIVIDE 24 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{24p}{24}=\dfrac{8}{24}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{24}{24}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{8}{24}}\large\textsf{ because that helps you solve for the p-value any}\\\\\large\textsf{gives you the value of it}[/tex]

[tex]\mathsf{p= \dfrac{8}{24}}\\\\\\\mathsf{p = \dfrac{8\div8}{24\div8}}\\\\\\\mathsf{8\div8=\bf 1}\\\\\mathsf{24\div8=\bf 3}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf p = \dfrac{1}{3}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

1/3

Step-by-step explanation:

Got a 100 on T4L

Answer:

Whole numbers or integers from 0 to 10

Step-by-step explanation:

Either 0 tickets can be sold, or 1, or 2, or 3, or 4, etc. up to a maximum of 10;

It is not possible to sell -1 tickets or ¹/₂ a ticket and we are told they don't sell more than 10 so 11 is not a possibility either;

Logically then, the only possibilities are whole numbers between 0 and 10

Answer:

The answer that is C

Step-by-step explanation:

The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.

Answer:

Then 1/2 or  30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.

Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point

Step-by-step explanation:

Linda walks in a straight line at 2 miles/hour

then after t ( hours time) she is    2 (m/h) * t   = d (L)

for Tom running at 6 m/h starting one hour later to cover the same distance d(L)

d(L)  =  6 m/h * ( t - 1 )    then:

2 (m/h) * t   =   6 m/h * ( t - 1 )

2*t  =  6*t - 6

4*t = 6

t = 6/4

t =  1,5 h

Checking that result.

we see that in 1,5 hours Linda has covered  2* 1,5  = 3 miles

and  in 0.5 hours  Tom covered the same distance  0,5 * 6 = 3 miles

NOTE: Remember that tom started one hour later.

Then 1/2 or  30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.

b)  In this case

d(T) = 6* ( t - 1 )       must be equal  to  twice of the Linda distance

d(L)  = 2 * 2 * t

6*t - 6  =  4*t

2*t  =  6

t  = 3

To check it

in 3 hours   Linda had covered  3 * 2  =  6 miles

in 2 hours   Tom had covered   2 * 6  =  12 miles

Answer:

[tex](a)\ 257 * [-1] =-257[/tex]

[tex](b)\ (-30) * [9] =-270[/tex]

(c) The additive inverse of -21 is 21

[tex](d)\ 918 *[0]=0[/tex]

[tex](e)\ (-56) * [(-9)+(-1)] = 560[/tex]

Step-by-step explanation:

Required

Fill in the blanks

Represent all blanks with x

[tex](a)\ 257 * x =-257[/tex]

Divide both sides by 257

[tex]x =\frac{-257}{257}[/tex]

[tex]x = -1[/tex]

So:

[tex](a)\ 257 * [-1] =-257[/tex]

[tex](b)\ (-30) * x =-270[/tex]

Divide both sides by -30

[tex]x =\frac{-270}{-30}[/tex]

[tex]x = 9[/tex]

So:

[tex](b)\ (-30) * [9] =-270[/tex]

(c)The complete question here is to determine the additive inverse of (-21)

The [tex]additive[/tex] [tex]inverse[/tex] of a [tex]number[/tex] x is -x

So:

[tex](-21) \to -(-21)[/tex]

[tex](-21) \to 21[/tex]

[tex](d)\ 918 *x=0[/tex]

Divide both sides by 918

[tex]x=\frac{0}{918}[/tex]

[tex]x = 0[/tex]

So:

[tex](d)\ 918 *[0]=0[/tex]

[tex](e)\ (-56) * [(-9)+(-1)] = x[/tex]

Solve the inner brackets

[tex](-56) * [-9-1] = x[/tex]

[tex](-56) * [-10] = x[/tex]

Multiply

[tex]560 = x[/tex]

So:

[tex](e)\ (-56) * [(-9)+(-1)] = 560[/tex]

Answer:

[tex] \dfrac{2x}{x + 7} [/tex]

Step-by-step explanation:

[tex] \dfrac{4x^2 - 16x}{2x^2 + 6x - 56} = [/tex]

Factor the numerator and denominator.

[tex]= \dfrac{4x(x - 4)}{2(x^2 + 3x - 28)}[/tex]

[tex]= \dfrac{4x(x - 4)}{2(x + 7)(x - 4)}[/tex]

[tex] = \dfrac{2x}{x + 7} [/tex]

A)  [tex]-\sqrt{5}[/tex]

D)  [tex]\pi[/tex]

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

Explanation:

Choices B and C are rational because we can simplify them to form a fraction of integers.

[tex]-\sqrt{49} = -7 = -\frac{7}{1}[/tex]

[tex]\sqrt{0} = 0 = \frac{0}{1}[/tex]

Any rational number is of the form P/Q where P,Q are integers and Q is nonzero.

So we can rule out choices B and C.

---------------

Choice A on the other hand cannot be written as a fraction of integers. The 5 isn't a perfect square, which makes [tex]-\sqrt{5}[/tex] irrational.

The same can be said about [tex]\pi[/tex] which is roughly equal to 3.14; the decimal digits go on forever without a known pattern.

Choice A and choice D are the two answers.

----------------

If we know the pattern of the decimal digits, then we can turn the decimal number into a fraction of integers

The number -0.777, where the 7s go on forever, converts to the fraction -7/9

That means we rule out choice E.

Answer:

7/2 or 3 1/2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

3/2 + 4/2 = 7/2

Hope this helps!!

Answer:

m∠ABC = 150°

Step-by-step explanation:

180° - 90° = 90°

[tex](2x+14)+(x+7)=90[/tex]

[tex](2(23)+14)+(23+7)=90[/tex]

[tex]((46)+14)+(30)=90[/tex]

[tex](60)+(30)=90[/tex]

[tex]x=23[/tex]

90° + 60° = 150°

Answer: 5

Step-by-step explanation:

Answer:

>90°

degrees from below 90 degrees

Answer:

a=acceleration due to gravity=9.8m/s²

v=final velocity

u=initial velocity

t=time taken

Answer:

need this  anyone got it?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The vertex of the graph is at (-4,1) and thus leading  the axis of symmetry be at x=-4.

Step-by-step explanation:

Answer:

y = (-2) 2^(x+1)

Step-by-step explanation:

Whenever x increases from by 1, y decreases by doubling (the negative value), so the exponent is -2

When x = -1, y = -2.

So the exponential equation (NOT linear) is

y(x)   =  -2*2^(x+1)

Check:

y(-1) = -2*2^(-1+1) = -2*1 = -2

y(0) = -2*2^(1) = -2*2 = -4

...

y(2) = -2*2^(2+1) = -2*8 = -16

all good.

Answer:

616.8

Step-by-step explanation:

look it up

Answer:

616.8 quarts

Step-by-step explanation:

Answer:

150 mins

Step-by-step explanation:

Answer:

150 minutes

Step-by-step explanation:

Answer:

408.4

Step-by-step explanation:

Step-by-step explanation:

[tex]\cos^{4} x - \sin^{4} x[/tex]

[tex]= ( \cos^{2} x + \sin^{2} x)( \cos^{2} x - \sin^{2} x)[/tex]

[tex] = (1 - \sin^{2} x + \sin^{2} x)( 1 - \sin^{2} x - \sin^{2} x)[/tex]

[tex] = 1 - 2\sin^{2} x[/tex]

Note: I replaced all cos^2x terms using the identity

[tex]\cos^{2} x = 1 - \sin^{2} x[/tex]

Answer:

8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.

A total of 16 questions.

Step-by-step explanation:

The number of multiple-choice questions and the number of short answer type questions are the same.

Let it be equal to [tex]x[/tex]

→Average time it takes to attempt multiple choice question = 2 minutes

→Total time it takes to attempt multiple choice question = [tex]2 * x[/tex] minutes

→Average time it takes to attempt short answer type question = 3.5 minutes

→Total Time it takes to attempt short answer type question = [tex]3.5 * x[/tex] minutes

Total time for the test should be less than 45 minutes.

Now finally, we can make an equation out of the information listed above:

[tex]2x +3.5x <45[/tex]

[tex]\\ 5.5x <45[/tex]

[tex]x < 8.18[/tex]

Hence the value of [tex]x = 8[/tex]

Answer:

[tex]y = \tan(x + \frac{x^2}{2})[/tex]

Step-by-step explanation:

Poorly formatted question; The complete question requires that we prove that [tex]y=\tan(x+\frac{x\²}{2})[/tex]

When

[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex] and [tex]y(0)=0[/tex]  

We have:

[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex]

Rewrite as:

[tex]\frac{dy}{dx} =1+x+xy\²+y\²[/tex]

Factorize

[tex]\frac{dy}{dx} = (1+x)+y\²(x+1)[/tex]

Rewrite as:

[tex]\frac{dy}{dx} = (1+x)+y\²(1+x)[/tex]

Factor out 1 + x

[tex]\frac{dy}{dx} = (1+y\²)(1+x)[/tex]

Multiply both sides by [tex]\frac{dx}{1 + y^2}[/tex]

[tex]\frac{dy}{1+y\²} = (1+x)dx[/tex]

Integrate both sides

[tex]\int \frac{dy}{1+y\²} = \int (1+x)dx[/tex]

Rewrite as:

[tex]\int \frac{1}{1+y\²} dy = \int (1+x)dx[/tex]

Integrate the left-hand side

[tex]\int \frac{1}{1+y\²} dy = \tan^{-1}y[/tex]

Integrate the right-hand side

[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex]

[tex]y(0)=0[/tex] implies that: [tex](x,y) = (0,0)[/tex]

So:

[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes

[tex]\tan^{-1}(0) = 0 + \frac{0^2}{2} + c[/tex]

This gives:

[tex]0 = 0 +0 + c[/tex]

[tex]0 =c[/tex]

[tex]c = 0[/tex]

The equation [tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes

[tex]\tan^{-1}y = x + \frac{x^2}{2} + 0[/tex]

[tex]\tan^{-1}y = x + \frac{x^2}{2}[/tex]

Take tan of both sides

[tex]y = \tan(x + \frac{x^2}{2})[/tex] --- Proved

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

[tex] \boxed{ \large{ \tt{❊ \: AREA \: OF \: TRAPEZIUM \: (A) = \frac{1}{2} h(a + b)}}}[/tex]

- Plug the values & then simplify!

[tex] \large{ \tt{↬ \frac{1}{2} \times 10(2 + 7)}}[/tex]

[tex] \large{ \tt{↬ \frac{1}{2} \times 10 \times 9 }}[/tex]

[tex]↬ \boxed{ \large{ \tt{45 \: {m}^{2} }}}[/tex]

✺ Karma says : If you feel like you are losing everything , remember that trees lose their leaves every year and still they stand tall and wait for better days to come! ♪

♡Hope I helped! ت

☼ Have a wonderful day / evening ! ☪

# StayInAndExplore ! ☂

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what do you mean? theres no math. we cant answer this.

x+x is equal to 0

Answer:

2x

Step-by-step explanation:

x + x = 2x

Answer:

B. capacity.

Step-by-step explanation:

In this scenario, Mahak is measuring the maximum space inside a watering can. Thus, this is a measure of capacity because it gives the exact information as to the quantity of water the watering can hold at any given time.

Basically, the capacity of a container is a measure of the volume of fluid or any other substance that it is able to hold, which is typically measured in litres or cubic centimeters.

For example, if the shape of the watering can is cylindrical; its capacity (volume) would be measured using a mathematical expression.

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

Answer:

B is the answer.

Step-by-step explanation:

Given equations y + x = 5 and 5x + 5y = 25.

These equations have infinetely many solutions because they are equivalent.

This can be proven by the multiplicative property of equality and the commutative property of addition.

y + x = 5 → y × 5 + x × 5 = 5 × 5 [multiplicative property of equality] → 5y + 5x = 25 → [commutative property of addition] 5x + 5y = 25.

Answer:

a=90

b=45

c=45

d=90

e=45

f=45

Answer:

Solution given;

angle =270°

radius [r]=8cm

we have

length of arc =270°/360°×2×π*r

=270°/360°×2×3.14*8=37.68cm

length of the arc is 37.68cm.