Marta is solving the equation x2+x=3 by completing the square what number should be added to both sides of the equation to complete the square?

Answer:

Slope = -6/7

Step-by-step explanation:

You need to use the formula m = y2 - y1 ÷ x2 - x1

The formula means: slope = the y coordinate of point 2 subtract the y coordinate of point 1, divided by the x coordinate of point 2 subtract the x coordinate of point 1

So,

m = 2 - 5 ÷ 3/2 - (-2)

m = -3 ÷ 7/2

m = -6/7

Hope this helps :)

Answer:

(3, -3)

Step-by-step explanation:

Given functions:

and

Solution is the Intersect which is found by equalizing the two functions:

Solving for x:

As both values of x for the first function reveal f(x) = -3, the pairs are:

Answer:

0.8

Step-by-step explanation:

because the template should be axr^n-1

where r is the common ratio

r=0.8

Answer:

0.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we're given a time at which the height is maximum, we can use a cosine function for the model.

The amplitude is half the difference between the maximum and minimum: (-27 -(-44))/2 = 8.5 cm.

The mean value of the height is the average of the maximum and minimum: (-27 -44)/2 = -35.5 cm.

The period is given as 3 seconds, and the right shift is given as 1.31 seconds.

This gives us enough information to write the function as ...

  H(t) = (amplitude)×cos(2π(t -right shift)/period) + (mean height)

  H(t) = 8.5cos(2π(t -1.31)/3) -35.5 . . . . cm

Answer:

if it takes 4 people for 2 days

4+4= 8

so it would only take 8 people for 1 day

Answer:

1 day

Step-by-step explanation:

4 people = 2 days

→ Work out how long 1 person takes

4 people = 2 days

( ÷ 4 )            ( × 4 )

1 person = 8 days

→ Work out how long 8 people can do it

1 person = 8 days

( × 8 )            ( ÷ 8 )

8 people = 1 day

Answer:

21

Step-by-step explanation:

since it is a triangle subtract 180 by 137 and 22

180-(137+22) or 180-132-22

hope this helps

Answer:

21

Step-by-step explanation:

We khow that the sum of a triangle's angles sizes is 180°

substract the sum of the two khown angles from 180°

so m<0 = 21°

Answer:

trig function is tangent

tan(63)=x/19

multiply each side by 19:

tan(63)19=x

x=37.3

Answer:

Table 4 represents a function.

Step-by-step explanation:

Functions require that each x-value has a unique y-value. In the other tables you see a value repeated in the x column, with a different value in the y column.

Answer:

Z = 0.87

Explanation:

Given the following data;

Sample 1:

n1 = 30

Mean, X = 2.36

Standard deviation, Ox = 0.96

Sample 2:

n2 = 60

Mean, Y = 2.19

Standard deviation, Oy = 0.66

The formula for test statistics for two population is;

[tex]Z = \frac{X-Y}{\sqrt{(\frac{Ox^2} {n_1} } +\frac{Oy^2}{n_2} )}}[/tex]

Substituting the values, we have;

[tex]Z = \frac{2.36-2.19}{\sqrt{(\frac{0.96^2} {30} +\frac{0.66^2}{60} )}}[/tex]

[tex]Z = \frac{0.17}{\sqrt{(\frac{0.9216} {30} +\frac{0.4356}{60} )}}[/tex]

[tex]Z = \frac{0.17}{\sqrt{(0.03072 +0.00726)}}[/tex]

[tex]Z = \frac{0.17}{\sqrt{0.03798}}[/tex]

[tex]Z = \frac{0.17}{0.19488}[/tex]

Z = 0.8723

The test statistics to 2 d.p is 0.87

Therefore, Z = 0.87

Answer:

$541.67 per month

Step-by-step explanation:

Tuition and other expenses = $8,250 per semester.

There are two semesters in a year

She has 4 years to spend

Total semester=4years*2semesters

=8 semesters

4 years in college which is a total of 8 semesters.

Total Tuition and other expenses = $8,250 * 8

= $66,000

She needs a total of $66,00 to complete her college

Assistance from parents=$15,000

Financial aid(per semester)=$4750

Total financial aid=$38,000

Total assistance=

Assistance from parents+ financial aid

=$15000+$38,000

=$53,000

Total savings=Total amount needed - Total assistance

=$66,000 - $53,000

=$13,000

She needs to save $13,000 in two years

There are 12 months in one year

2 years=2*12=24 months

Monthly savings=Total savings/24 months

=$13,000/24

=$541.666666

To the nearest cent

=$541.67

Answer: $541.67

Step-by-step explanation: Got it right on TTM.

Answer:

1/5

Step-by-step explanation:

2/9 * 9/10 = 2/10 = 1/5

Answer: (1.5,-3) and (4.5, -3)

Step-by-step explanation:

The dilation rule to dilate a point (x,y) by a scaler factor of  k is given by :0

[tex](x,y)\to (kx,ky)[/tex]

Given: A Line Segment has the points (1,-2), and (3,-2).

Scale factor = 1.5

Then, the new points after dilation will be :

[tex](1,-2)\to(1.5\times1,\ 1.5\times-2)=(1.5,\ -3)[/tex]

[tex](3,-2)\to (1.5\times3,1.5\times-2)=(4.5,\ -3)[/tex]

Hence, the  new points after its dilated by a scale factor of = (1.5,-3) and (4.5, -3)

Answer:

12.65 miles

Step-by-step explanation:

he runs on a track that is 2 1/2 miles per lap and he runs 3 1/2 laps:

2 1/2 *3 1/2= 5/2 * 7/2=35/4=8.75 miles

afternoon he runs on a track that is 1 3/10 miles per lap and he runs 3 laps

1 3/10 *3=13/10*3=39/10= 3.9

total miles  he runs in a day: 8.75+3.9= 12.65 miles

Answer:

30 seconds.

Step-by-step explanation:

So, we have the equation:

[tex]h(t)=-16t^2+h[/tex]

Where t is the time in seconds and h is the initial height.

A barometer falls from a weather balloon at a height of 14,400 feet. In other words, the initial height is 14,400. Substitute for h:

[tex]h(t)=-16t^2+14400[/tex]

We need to find when the barometer hits the ground. Ground level is 0 feet. Therefore, we can substitute h(t) for 0 and solve for the equation (solve for t) in order to find how long (in seconds) it took for the barometer to fall:

[tex]0=-16t^2+14400\\-14400=-16t^2\\900=t^2\\t=\pm\sqrt{900} \\\text{Time cannot be negative.}\\t=\sqrt{900}\\ t=30 \text{ seconds}[/tex]

Therefore, it took 30 seconds for the barometer to hit the ground when it fell at a height of 14,400 feet.

Edit: Spelling.

B. [tex]-x^2-2[/tex].

Hope this helps.

Answer:

i think its g(x)=-x^2-2

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

An easy way to do this is to simply take 360(the sum) and divide it by 5(the number of numbers) to get 72.  Thus, 72 is the middle number and the numbers are:

72

72,72,73

70,71,72,73,74

The smallest of these numbers is 70

Hope it helps <3

Hello!

Answer:

70 is the smallest number.

Step-by-step explanation:

If the sum of 5 consecutive numbers is 360, we can solve for the smallest number algebraically:

Let 'x' represent the smallest number:

and (x + 1), (x + 2), (x + 3), and (x+4) represent the other consecutive numbers:

x + (x + 1) + (x + 2) + (x + 3) + (x+ 4) = 360

Combine like terms:

5x + 10 = 360

Subtract 10 from both sides:

5x = 350

Divide both sides by 5:

x = 70. This is the smallest of the consecutive numbers.

We can check our work:

70 + 71 + 72 + 73 + 74 = 360.

Hope this helped!

it's a quadrilateral

interior angles add up to 360

x + 2x - 75 + x + x - 35 = 360

5x - 110 = 360

5x = 360 + 110

x = 470 ÷ 5

x = 95

and x - 35 = 60

2x - 75

= 190 -75

= 115

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x + x - 35 + 2x - 75 = 360, that is

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94 , then

x - 35 = 94 - 35 = 59

2x - 75 = 2(94) - 75 = 188 - 75 = 113

Thus

The 4 angles are 59°, 94°, 94°, 113°

Answer:

Subtract [tex]3\frac{1}{5}[/tex] from both sides.

Step-by-step explanation:

We want to isolate the variable [tex]n[/tex]. To do this, we have to get rid of [tex]3\frac{1}{5}[/tex], which we can do by subtracting itself, since it equals 0.

[tex]3\frac{1}{5} + n =9[/tex]

[tex]n = 5\frac{4}{5}[/tex]

Answer:

ITS A

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

2x+4=3x-2

-4 -4

2x=3x-6

-3x -3x

-1x=-6

--- ---

-1 -1

X=6

Answer:

6

Step-by-step explanation:

2x+4=3x-2

2x-3x=-2-4

-x=-6

(divide both sides by -1)

X=6

Answer:

120

Step-by-step explanation:

12 x 6 = 72

8x(12/2)=48

72+48 =120

━━━━━━━☆☆━━━━━━━

▹ Answer

Slope = 1

▹ Step-by-Step Explanation

y = mx + b

'm' represents the slope. since there is no number before the x, the coefficient will always be 1. therefore, the slope is 1.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

The correct option is;

A table with 6 columns and 2 rows. The first row, x, has entries, negative 3, negative 1, 2, 5, 10. The second row, y, has entries, negative 7.5, negative 2.5, 5.0, 12.5, 25

Please find attached the graphs of the table data

Step-by-step explanation:

Each of the given table data of in the tables are analysed to find direct variation;

Table 1

x,               -3,                 -1,                 2,                5,                10

y,              -4.5,              -3.0,             -1.5,             0.0,              1.5              

-4.5/-3  = 1.5 ≠ -3.0/-1 = 3

No direct variation

Table 2      

x,             -5.5,               -4.5,            -3.5,            -2.5,             -1.5

y,              10,                   8,                 6,              4,                  2

10/(-5.5) = -20/11  ≠ 8/(-4.5) = -16/9

However, 10/(-5.5 + 0.5) = -2 = 8/(-4.5 + 0.5) = -2

Adjusted direct variation

Table 3              

x,              -5.5,               -5.5,             -5.5,           -5.5,            -5.5

y,              -3,                    -1,                 2,                5 ,              10                  

-3/(-5.5) ≠ -1/-5.5

No direct variation

Table 4

x,              -3,                    -1,                2,                  5,             10

y,              -7.5,                 -2.5,            5.0 ,              12.5,         25  

 -7.5/-3 = 2.5 = -2.5/(-1) = 5.0/2 = 12.5/5 =25/10

Direct variation exists        

Answer:

so D

Step-by-step explanation:

Step-by-step explanation:

Our polynomial is x²+30x +c with a missing value c

c should make this polynomial expression a perfect square

x²+ 30x+c

x² + 2*15*x +c

x²+2*15*x+15² ⇒ c = 15²=225

(x+15)²

Answer:

80 and 20

Step-by-step explanation:

80+80+20=180

Answer:

D.  y + 6 = -3(x - 2)

Step-by-step explanation:

To find the equation in point-slope form, you need to use the slope and a point from that line.  The slope is -3 and the point given is (2, -6).

Point-slope form is y - y₁ = m(x - x₁).  Plug in the slope and point.

y - (-6) = -3(x - 2)

y + 6 = -3(x - 2)

Answer:

D. [tex]y - 2 = -3(x+6 )[/tex]

Step-by-step explanation:

Well point slope form is,

[tex]y - y_{1} = m(x-x_{1} )[/tex]

So we already have slope meaning we can plug that in for m.

[tex]y - y_{1} = -3(x-x_{1} )[/tex]

And with the given point (2,-6),

we can create point slope form.

[tex]y - 2 = -3(x+6 )[/tex]

Therefore,

the answer is d. [tex]y - 2 = -3(x+6 )[/tex].

Hope this helps :)

Answer: 9

Step-by-step explanation:

[tex]3^2 + \frac{3}{3}-1\\\\=9+1-1\\\\=9[/tex]

Answer:

1 / 3^1

Step-by-step explanation:

3^-1 • 3^0

When multiplying exponents with the same base, we add the exponents

3^ (-1+0)

3 ^-1

We know that a^ - b = 1/a^b

3 ^ -1 = 1/3^1

1,3,4 that is the answer

Answer:

Step-by-step explanation:

x³ + 6x² + 5x - 12

A factor of the polynomial is the value of x when substituted into the expression will make it zero

Choosing x + 4

x = - 4

We have

(- 4)³ + 6(- 4)² + 5(- 4) - 12

-64 + 96 - 20 - 12 = 0

Since the result is zero

x + 4 is a factor of the polynomial

Hope this helps you

Answer:I think it’s 7x^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Since these are production vehicles, we don't expect their top speed to be more than about 70 m/s, so the distance functions probably lose their validity after t = 25. Of course, t < 0 has no meaning in this case, so the suitable domain is about ...

  0 ≤ t ≤ 25

Note that the domain for the second car would be 3 ≤ t ≤ 25.

__

b) The graph of this system shows the cars will both have driven the same distance after 16.348 seconds.

__

c) At that time, the cars will have driven 310.0 meters.

_____

Non-graphical solution

If you like, you can solve the equation for t:

  d1 = d2

  1.16t^2 = 1.74(t -3)^2

  0 = 0.58t^2 -10.44t +15.66

  t = (10.44 +√(10.44^2 -4(0.58)(15.66)))/(2(0.58)) = (10.44+8.524)/1.16

  t = 16.348 . . . . time in seconds the cars are at the same distance

That distance is found using either equation for distance:

  1.16t^2 = 1.16(16.348^2) = 310.036 . . . meters