according to exponent rules, when we multiply like bases, we ______ the exponents

Answer:

x = 1, y = 2

Step-by-step explanation:

-5x + y = -3, we get y = 5x - 3.

Then plugs into the second equation, we get

-x - 5 (5x-3) = -11.

-x - 25x + 15 = -11,

-26x = -26

x = 1,

plugs x = 1 to y = 5x - 3, we get y = 2.

Answer:

From eq (1)

[tex]{:}\longrightarrow[/tex][tex]\sf -5x+y=-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=-3+5x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3\dots\dots (3) [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -x-5 (5x-3)=-11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -x-25x+15=-11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-11-15 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-26 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-26}{-26}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y =5 (1)-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=2 [/tex]

[tex]\therefore[/tex](x,y)=(1,2)

Answer:

5 5/7

Step-by-step explanation:

-4*6/7*-5/3

We can multiply the numerators

-4 * 6*-5 = 120

We can multiply the denominators

7*3 =21

Put the numerator over the denominator

120/21

The top and bottom are both divisible by 3

120/3 = 40

21/3 =7

The new improper fraction is 40 /7

Changing from an improper fraction to a mixed number

7 goes into 40 5 times with 5 left over

5 5/7

Answer: Eva has left $ 34.18 after her purchases .

Step-by-step explanation:

Given: Each hanging basket cost $5.48

Cost of 9 hanging basket = 9 x $5.48  = $ 49.32

Each Petunia cost $18.50.

Cost of 9 Petunias =  9 x $18.50

= $ 166.5

Eva has $250 to spend on items for her garden.

Money left = $(250 -(49.32+166.5))

= $ (250 -215.82)

= $ 34.18

Hence, Eva has left $ 34.18 after her purchases .

Answer:

-3, 1, 5

Step-by-step explanation:

Answer:

The sampling distribution of [tex]\hat p[/tex] is: [tex]\hat p\sim N(p,\ \frac{p(1-p)}{n})[/tex].

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

[tex]\mu_{\hat p}=p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

The study was conducted using the data from 15,000 students.

Since the sample size is so large, i.e. n = 15000 > 30, the central limit theorem is applicable to approximate the sampling distribution of sample proportions.

So, the sampling distribution of [tex]\hat p[/tex] is: [tex]\hat p\sim N(p,\ \frac{p(1-p)}{n})[/tex].

Answer: y= 3/4x +3

X/-4 + Y/3 = 1

Y-6=3/4 (x-4)

3x-4y=-12

Step-by-step explanation:

Just did it cus im cool

The required equation of the lines are y = 5/3x , y = -3/4x and y = -4x which passes through y axis and points (-3, -5) , (-4,  3) and (1, -4) respectively.

Given that,
To plot four lines. Each line should pass through the point on the y-axis and one of the other four points.

A line can be defined by the shortest distance between two points is called a line. The standard equation of the line is y = mx +c  where c = intercept and m, = slope of the equation.

Here,  (-3, -5) , (-4,  3) and (1, -4)
Three lines are to be plotted on the curve which passes through  (-3, -5) , (-4,  3), and (1, -4)  and at any point on the y-axis,

So the equation are,
y = 5/3x passes through (-3, -5 ) and 0 on y axis
y = -3/4x passes through (-4, 3) and 0 on y axis
y = -4x passes through (1, -4 ) and 0 on y axis

Thus, the required equation of the lines are y = 5/3x , y = -3/4x and y = -4x which passes through y axis and points (-3, -5) , (-4,  3) and (1, -4) respectively.

Learn more about lines here:

brainly.com/question/2696693

#SPJ5

[tex]x = - 10 \\ [/tex]

[tex]x = 2[/tex]

Step-by-step explanation:

[tex] \sqrt{20 - 8x} = \times [/tex]

[tex]20 - 8x = {x}^{2} [/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex]x = - 10[/tex]

[tex]x = 2[/tex]

Answer:

14:35

Step-by-step explanation:

Answer:

14:49 boys 35:49 girls

Step-by-step explanation:

35+14=49

Answer:

2400 ( if it the HundredTHS place Then it will just be 2373.84 because there is no thousandths place :P )

Step-by-step explanation:

Answer:

The correct answer should be 11[tex]\frac{1\\}{4}[/tex]

Step-by-step explanation:

Let me know if this is wrong and I will correct it if it is.

Answer:

Awnser is C

Step-by-step explanation:

We just have to make the top bar seem bigger then it actually is

Answer:

x=6

Step-by-step explanation:

divide each term by 2 then simplify

Answer:

6

Step-by-step explanation:

First what you do is you subtract 7 from both sides to get 2x by itself.

2x + 7 - 7 = 19 - 7

2x = 12

Then you divide 2 from both sides to get x by itself.

2x/2 = 12/2

x = 6

Your answer is then x = 6.

Answer:

45 headband

Step-by-step explanation:

20:25, so add 20+25 and get 45

Answer:

x=6.566084 or x=−1.066084

Step-by-step explanation:

Let's solve your equation step-by-step.

−4

x

−1=

7

2

−x+

3

x

+1

−4

x

+−1=

7

2

+−x+

3

x

+1

Multiply all terms by x and cancel:

−4+−1x=

7x

2

+(−x)(x)+3+1x

−x−4=−x2+

9

2

x+3(Simplify both sides of the equation)

−x−4−(−x2+

9

2

x+3)=−x2+

9

2

x+3−(−x2+

9

2

x+3)(Subtract -x^2+9/2x+3 from both sides)

x2+

−11

2

x−7=0

For this equation: a=1, b=-5.5, c=-7

1x2+−5.5x+−7=0

x=

−b±√b2−4ac

2a

(Use quadratic formula with a=1, b=-5.5, c=-7)

x=

−(−5.5)±√(−5.5)2−4(1)(−7)

2(1)

x=

5.5±√58.25

2

x=6.566084380618436,−1.0660843806184368

Check answers. (Plug them in to make sure they work.)

x=6.566084(Works in original equation)

x=−1.066084(Works in original equation)

Answer:

x=6.566084 or x=−1.066084

Answer:

10

Step-by-step explanation:

assigning variable x to the unknow number

3x - 50 = -20

3x = 30

x = 10

Answer:

D

Step-by-step explanation:

D)y = 5x - 6

y=mx+b

where m = slope and b=y-intercept

Hope I helped!

~PumpkinSpice1

Answer:

you're correct! :)

Step-by-step explanation:

Yes it is correct dear.

Now you can make it on a graph by the solutions of the equation.

For the value of x,

[tex]9x + 3y = 15 \\ = > 9x = 15 - 3y \\ = > x = \frac{15 - 3y}{9} \\ = > x = \frac{3(5 - y)}{9} \\ = > x = \frac{5 - y}{3} [/tex]

And for value of y,

[tex]9x + 3y = 15 \\ = > 3y = 15 - 9x \\ = > y = \frac{15 - 9x}{3} \\ = > y = \frac{3(5 - 3x)}{3} \\ = > y = 5 - 3x \: \: \: or \: \: \: \\ y = - 3x + 5[/tex]

Answer:

they very much are there

Step-by-step explanation:

Answer:

37.5 degrees

Step-by-step explanation:

All triangle angles must sum up to 180 degrees

63 + 90 = 153

153 = 4x + 3

150 = 4x

37.5 = x

Answer:

B

Step-by-step explanation:

The volume (V) is calculated as

V = area of triangular face × depth

Area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 3 and h = 4 , then

A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 Km²

Now depth = 2, thus

V = 6 × 2 = 12 Km³ → B

Answer:

40, 80, 120

Step-by-step explanation:

0, 40, 80, 120, 160, 200

+40

Answer:

0, 40, 80, 120, 160, 200

Step-by-step explanation:

The numbers are decreasing by 40. 200-160=40. Therefore, we need to subtract 40 each time from every number we get.

160-40=120

120-40=80

80-40=40

Now, plug the numbers into the sequence. It should now look like this:

0, 40, 80, 120, 160, 200

I hope this helps you out!! Have a great day, and if you need any more help, let me know (✿◠‿◠)

Answer:

t > 82

Step-by-step explanation:

First write what we know.

Earned $72

$4 per ticket, t

Cost is $400

So let's write our equation:

The cost is $400 so we put that on the left side,

$400 =

Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.

So we write:

$400 = $4t + $72 Now solve for t to find the number of tickets they need to sell.

400 = 4t + 72   Subtract 72 from each side.

400 - 72 = 4t + 72 - 72  

328 = 4t     Divide each side by 4.

328/4 = 4t/4

328/4 = t

82 = t

If the committee wants money left over they need to sell more than 82 tickets!

Our inequality is:

t > 82

Answer:

Step-by-step explanation:

[tex]\begin{vmatrix}3 & -1\\ -3 & 4\end{vmatrix}=(3\times 4)-(-1)\times (-3)[/tex]

               = 12 - 3

               = 9

[tex]\begin{vmatrix}8 & -1\\ -4 & -1\end{vmatrix}=8\times(-1)-(-1)\times(-4)[/tex]

               = -8 - 4

               = -12

[tex]\begin{vmatrix}-12 & -1\\ 12 & 5\end{vmatrix}=(-12)\times(5)-(-1)\times(12)[/tex]

                = -60 + 12

                = -48

[tex]\begin{vmatrix}2 & -1\\ 2 & -1\end{vmatrix}=2\times(-1)-(2)\times(-1)[/tex]

            = -2 + 2

            = 0

[tex]\begin{vmatrix}0 & -1\\ 17 & 4\end{vmatrix}=0\times(4)-(-1)\times(17)[/tex]

              = 17

[tex]\begin{vmatrix}1 & 0\\ 0 & 1\end{vmatrix}=1\times(1)-(0)\times(0)[/tex]

          = 1

Answer:

credit to top guy

this is for visual help

Step-by-step explanation:

Solution: (20,10) Tommy bought 20 apples and 10 oranges.

Step-by-step explanation:

x+y=30: y=30-x

3x+4y=100

3x+4(30-x)=100

3x+120-4x=100

-1x +120=100

     -120   -120

-1x=-20

/-1   -1

x= 20

20+y= 30

-20     -20

y=10

20+10=30

You solve this equation using substitution

Step-by-step explanation:

x= -2,

(x - 5) / 2= -6

( (-2) - 5) / 2= -6

(-7) / 2 = -6

-3.5 = - 6

right hand side not equal to left hand side of this equation.so,x= -2 cannot exist for this equation.

x=2,

(x - 5) / 2= -6

(2 - 5) / 2= -6

(-3) / 2= -6

-1.5 = - 6

right hand side not equal to left hand side of this equation.so,x= 2 cannot exist for this equation.

x= -17

(x - 5) / 2= -6

( ( -17) - 5) / 2= -6

(- 22) / 2= -6

-11 = -6

right hand side not equal to left hand side of this equation.so,x= -17 cannot exist for this equation.

x= -7,

(x - 5) / 2= -6

( ( -7) -5) / 2= -6

(-12) / 2= -6

-6= -6

right hand side equal to left hand side of this equation.so,x= -7 exist for this equation.

Answer:

f=7

Step-by-step explanation:

1. distribute 4 too .5 and .25

2. subtract the f from each side

3.combine like terms

this leaves you with f=6+1 which is 7

Answer:

849.7m2

Step-by-step explanation:

L= length

SA = surface area

volume = L x L x L

1700= L x L x L

find cube root

=11.93m

round off to 1 dp

=11.9m

SA= 6( L x L)

     = 6( 11.9 x 11.9)

       =6(141.61)

       =849.66m2

round off to 1 dp

=849.7m2