Find the x-intercept of the graph of the linear equation y = −12x + 3.

Answer:

D

Step-by-step explanation:

[tex]\int\limits^4_1 {\frac{7^{lnx}}{x} } \, dx \\put~ln~x=y\\diff.\\\frac{1}{x} dx=dy\\when~x=1,y=ln1=0\\when x=4,y=ln~4\\\int\limits^{ln4}_0 {7^y} \, dy\\=\frac{7^y}{ln7} |0 ~\rightarrow~ ln 4\\= \frac{7^{ln4}}{7}[/tex]

Answer:

Average employee [Mean] = 43.6

Step-by-step explanation:

Given:

Interval   Number of employee

25-35                      20

35-45                      7

45-55                      8

55-65                     15

Total                       50

Find:

Average employee [Mean]

Computation:

Interval     X[u+l]/2 Number of employee   fx

25-35         30           20                              600

35-45         40             7                              280

45-55         50            8                              400

55-65         60            15                             900

Total                           50                            2,180

Average employee [Mean] = Sum of fx / Sum of x

Average employee [Mean] = 2,180 / 50

Average employee [Mean] = 43.6

Answer:

aeaaa

Step-by-step explanation:

Hello,

Answer D

-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k

(-2,18) is a point of the curve:

18=k*(-2)²-8k-32k

-36k=18

k= - 1/2

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

Answer:

[tex] \displaystyle 4320 {x }^{3} [/tex]

Step-by-step explanation:

to solve binomials like this there's a way called binomial theorem given by

[tex] \displaystyle {(a + b)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

but for this question we need the following part

[tex] \displaystyle \boxed{ \binom{n}{k} {a}^{n - k} {b}^{k} }[/tex]

from the question we obtain that a,b and n is 3x,4 and 5 since we want to find the coefficient x³ k should be (5-3) = 2 so we have determined the variables now just substitute

[tex] \displaystyle \binom{5}{2} {(3x)}^{5 - 2} \cdot {4}^{2} [/tex]

simplify which yields:

[tex] \displaystyle \boxed{ \bold{4320 {x }^{3}} }[/tex]

and we are done!

Answer:

From given, we have,

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height.  

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height.

Let the height of Theresa be "x" inches.

So, we get,

For Paul, 1 1/2 x - 16 = T

⇒ 3/2 x - 16 = T ......(1)

For Steve, 1 1/3 x - 6 = T

⇒ 4/3 x - 6 = T .........(2)

equating  equations (1) and (2), we get,

3/2 x - 16 =  4/3 x - 6

6 - 16 = 4/3 x - 3/2 x

-10 = (8 - 9)/6 x

-60 = -x

x = 60 inches.

Therefore, Theresa is 60 inches tall.

Answer:

I think the answer is 9

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

Work Shown:

f(x) = x-7

f(4) = 4-7

f(4) = -3

We can see that f(4) and -3 are the same number. Because of this, we can replace f(4) with -3

This will have us go from g( f(4) ) to g( -3 )

Then we plug x = -3 into the g(x) function

g(x) = x^2

g(-3) = (-3)^2

g(-3) = 9 is the final answer

Again, since -3 and f(4) are the same thing, we can replace that '-3' in g(-3) to get

g( -3 ) = 9

g( f(4) ) = 9

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

An alternative route:

g(x) = x^2

g( f(x) ) = ( f(x) )^2 .... replace every x with f(x)

g( f(x) ) = ( x-7 )^2 .... plug in f(x) = x-7 for the right hand side only

g( f(4) ) = ( 4-7 )^2 ... plug in x = 4

g( f(4) ) = (-3)^2

g( f(4) ) = 9

Answer:

a. 6

Step-by-step explanation:

AB +BC =AC

2x-2+2x+10=32

4x+8=32

4x=32-8

4x=24

x=24/4

x=6

Answer:

16/8 + 24

Step-by-step explanation:

Answer:

2720

Step-by-step explanation:

Given that,

Price of the ticket = 2828.80

To find,

The price before the increase = ?

Procedure:

Let the price before the increase be x

so,

x(100% + 4%) = 2828.80

⇒ 1.04x = 2828.80

⇒ x = 2828.80 ÷ 1.04

∵ x = 2720

Thus, the price before the increase was 2720.

Answer:

5 years

Step-by-step explanation:

(x+15)=4x

15=4x-x

15=3x

5=x

[tex]\displaystyle\bf Solve:8\times p=5,2 \$ => p=\frac{5,2}{8} =\frac{5,2:\boxed{8}}{8:\boxed{8}} =0,65\$\quad She \:unit\: cost\:is\:\underline{ 0,65} \\\\Check :\:8\times\underline{0,65} =5,2\$ \\\\0,65=0,65 \\\\\rightarrow The\: price\:per \:apple \:is \: 0,65 \$[/tex]

Answer:

[tex]{ \bf {factor : { \tt{x - 1}}}} \\ x - 1 = 0 \\ x = 1 \\ { \tt{f(x) = {x}^{3} - {3x}^{2} + kx - 1}} \\ { \tt{f(1) : {(1)}^{3} - 3 {(1)}^{2} + k(1) - 1 = 0}} \\ { \tt{k - 3 = 0}} \\ { \tt{k = 3}}[/tex]

Answer:

k = 3

Step-by-step explanation:

If x-1 is a factor of x³ - 3x² + kx - 1 then value of x is 1.

f (x ) = x³ - 3x² + Kx - 1 , then

plug 1 as x in the expression.

expand exponents

combine like terms

Add 3 to both side

Answer:

Step-by-step explanation:

89x = 89 * x

16x = 2 * 2 * 2 * 2 * x

-30x = -1 * 2 * 5 * 3 * x

x is the only factor that is common in all three.

GCF = x

Answer:

Capacity of the rectangular tank in litres is 165.75l

Step-by-step explanation:

Volume of the tank

[tex] = lbh[/tex]

[tex] = 85 \times 65 \times 30[/tex]

[tex] = 165750 {cm}^{3} [/tex]

Capacity of the tank

[tex] = 165750ml[/tex]

[tex] = 165.75l[/tex]

Answer:

they are the dame line...

A. Infinitely many solutions

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

114

Answer:

Zoe rode [tex]\frac{5}{6}[/tex] of a mile more than she walked.

Step-by-step explanation:

[tex]\frac{11}{12}-\frac{1}{12} =\frac{5}{6}[/tex]

Answer:

Step-by-step explanation:

1). 2x + y = 12 -----(1)

   x = 9 - 2y -------(2)

   By substituting the value of x from equation (2) to equation (1)

   2(9 - 2y) + y = 12

   18 - 4y + y = 12

   18 - 3y = 12

   3y = 18 - 12

   y = 2

   By substituting the value of x in equation (2)

    x = 9 - 2(2)

    x = 9 - 4

    x = 5

2). x + 2y = 9 ------(1)

    2x + 4y = 20

    x + 2y = 10 -------(2)

    Since, both the equations are the parallel equations,

    Therefore, No solutions will be the answer.

3). x + 3y = 16 -------(1)

    2x - y = 11 ---------(2)

    Multiply equation (2) by 3 the add to equation (1)

    6x - 3y + (x + 3y) = 16 + 33

    7x = 49

     x = 7

     From equation (1),

     7 + 3y = 16

     3y = 9

     y = 3

4). y = 11 - 2x -------(1)

    4x - 3y = -13 -------(2)

    By substituting the value of y from equation (1) to (2),

    4x - 3(11 - 2x) = -13

     4x - 33 + 6x = -13

     10x = 33 - 13

     10x = 20

     x = 2

      From equation (1)

     y = 11 - 2(2)

    y = 7

5). y = 10 + x -------(1)

    -3x + 3y = 30

    -x + y = 10

     y = 10 + x ------(2)

    Equations (1) and (2) are same.

    Therefore, Infinite solutions will be the answer.

6). 2x + y = 11 --------(1)

    x - 2y = -7 ---------(2)

    Multiply equation (1) by 2 then add to equation (2)

    4x + 2y + (x - 2y) = 22 - 7

    5x = 15

    x = 3

    From equation (2)

    3 - 2y = -7

    2y = 3 + 7

     y = 5

Answer:

Fabric    Cloaks

   21            6

   7              2

   14            4

Step-by-step explanation:

To represent the situation, we can write a ratio using the information 21 sq meters per 6 wizard cloaks. we can write:

21 sq m/ 6 cloaks

and simplify both the numerator and denominator by dividing each by 3:

7 sq m/ 2 cloaks

We can already fill out the second row because, from the ratio above, we can say 2 cloaks use 7 sq m.

For the next row, we need the number of cloaks, or the denominator to be 4. So, we need to multiply both the top and the bottom by two to get:

14 sq m/ 4 cloaks

This means 4 cloaks need 14 sq m.

Answer:

I can't understand your question friend.

Answer:

Amount Dan has = $17

Amount Ann has = $27

Amount Pablo has = $34

Step-by-step explanation:

Total amount they have = $78

Let

Amount Dan has = x

Amount Ann has = x + 10

Amount Pablo has = 2x

Total = Dan + Ann + Pablo

78 = x + (x + 10) + 2x

78 = x + x + 10 + 2x

78 = 4x + 10

78 - 10 = 4x

68 = 4x

x = 68/4

x = 17

Amount Dan has = x = $17

Amount Ann has = x + 10

= 17 + 10

= $27

Amount Pablo has = 2x

= 2(17)

= $34

Answer:

Step-by-step explanation:

[tex](5^3)^5=5^{15}[/tex] which is absolutely huge. In scientific notation it is

3.051757813 × 10¹⁰

Answer:

(5×5×5)=125

125^5=30,517,578,125

final answer=30,517,578,125

0.6(180) is the same as asking the question - What is 60% of 180?

To find that answer, we can multiply 0.6 by 180. We use the decimal 0.6 because that is the decimal form of 60%.

0.6 x 180 = 108

Another way we can find this answer is to find 1/10 of 180 and multiply this answer by 6 because 60/100 is the same thing as 6/10.

1/10 of 180 = 18

18 x 6 = 108

Hope this helps!

Answer:

Step-by-step explanation:

(4x+3)²÷(x-10)

=(16x²+24x+9)÷(x-10)

x-10) 16x²+24x+9 (16x+184

       16x²-160x

       -      +

   ------------------

               184x+9

               184x-1840

              -      +

             ----------------

                       1849

              ----------------

Answer:

The balance after the 6 years of investment will be $ 15,442.08.

Step-by-step explanation:

Given that $ 13,700 was invested at a rate of 2% compounded quarterly during 6 years, to determine the final result of the investment, the following calculation must be performed:

13,700 x (1 + 0.02 / 4) ^ 4x6 = X

13,700 x (1 + 0.005) ^ 24 = X

13,700 x 1,005 ^ 24 = X

13,700 x 1.1271 = X

15,442.08 = X

Therefore, the balance after the 6 years of investment will be $ 15,442.08.

Answer:

C, {-8, -3, 5, 7}

Step-by-step explanation:

the range = the y-coordinates

i hope this helps you

Photo isn't clear.

And which number