How tall is the table?

kx + z = 3 means z = 3 - kx. Substitute this into the first two equations:

x + y + 3 (3 - kx) = 10   ==>   (1 - 3k) x + y = 1

-4x + 3y + 5 (3 - kx) = 7   ==>   (-4 - 5k) x + 3y = -8

Multiply through the first equation by -3 :

-3 ((1 - 3k) x + y) = -3 (1)   ==>   (-3 + 9k) x - 3y = -3

Add this to the second equation to eliminate y :

((-3 + 9k) x - 3y) + ((-4 - 5k) x + 3y) = -3 + (-8)

(-7 + 4k) x = -11

Normally, you would solve for x by dividing both sides by -7 + 4k. But you can't do that if this turns out to be equal to 0, which happens for

-7 + 4k = 0   ==>   k = 7/4

Answer:

k = 7/4

Step-by-step explanation:

Answer:

c=-26/4 simple addition and multiplation

Step-by-step explanation:

[tex] - 14 = 3 - c + (9 + 5c) \\ - 14 = 3 - c + 9 + 5c \\ c - 5c = 3 + 9 + 14 \\ - 4c = 3 + 9 + 14 \\ - 4c = 26 \\ - 2c = 13 \\ c = - \frac{13}{2} \\ c = - 6.5[/tex]

Answer:

y=6x-8

Step-by-step explanation:

y=2(x-8)+4x

y=2x+4x-8, y=6x-8

Answer:Y=25:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

plz complete question

so I can help you.

Step-by-step explanation:

1/2 is equal to R6.

So 2 halves mean R6+R6=R12

Or

R6×2= R12

Answer:R12

Answer:

Step-by-step explanation:

Confidence Level - "P" values  

90% 1.645

Confidence Interval - "P" values  

(0.7119 , 0.8481 )  

9514 1404 393

Answer:

  20,971,520

Step-by-step explanation:

The population is doubling every hour, so after 17 hours it will be the initial population (160) multiplied by 2^17 = 131,072.

After 17 hours, he can expect to find 160×131072 = 20,971,520 bacteria.

We have to find LCM

3 | 45,75,63

3 | 15,25,21

5 | 5,25,7

5 | 1,5,7

7 | 1,1,7

LCM=3×3×5×5×7=1575

The least common denominator for the group of denominators using the method of prime numbers is 1575.

LCM stands for Least Common Multiple. It is a method to find the smallest common multiple between any two or more numbers.  A factor is one of the numbers that multiplies by a whole number to get that number.

For the given situation,

The numbers are 45, 75, 63​

Prime factors of 45 = [tex]3,3,5[/tex]

Prime factors of 75 = [tex]3,5,5[/tex]

Prime factors of 63 = [tex]3,3,7[/tex]

Then the LCM can be found by, first take the common factors then multiple the remaining factors as,

⇒ [tex](3)(3)(5)(5)(7)[/tex]

⇒ [tex]1575[/tex]

Hence we can conclude that the least common denominator for the group of denominators using the method of prime numbers is 1575.

Learn more about least common multiple here

https://brainly.com/question/24859913

#SPJ2

Step-by-step explanation:

Answer:

Hello,

answer slope =-3/4=-0.75

Step-by-step explanation:

Line is passing through (0,1) and (4,-2)

[tex]\Delta y=-2-1=-3\\\\\Delta x=4-0=4\\\\Slope=\dfrac{-3}{4}[/tex]

Answer:

2.31 m

Step-by-step explanation:

with marking down to centimeter length, one can only estimate accurately to the nearest  centimeter or hundredth of a meter.

Answer:2.31 meter

Step-by-step explanation: none

Answer:

50

Step-by-step explanation:

The amount of 4​% butterfat milk  is equal to x quarts , When 1​% butterfat milk  is equal to 75-x. The amount of butterfat in 4​% butterfat milk is x/100*4=0.04x

The amount of butterflat in 1​% butterfat milk is (75-x)/100= 0,75-0.01x

1​The amount of butterflat in 75 quarts of 3​% butterfat milk (our desired mixture) is 75/100*3= 2.25

This quantity (2.25) is the sum of butterfat from  4​% butterfat milk and 1​% butterfat milk(the sum of 0.04x and 0.75-0.01x)

the equation is

0.04x+0.75-0.01x=2.25

0.03x=1.5

x=50

9514 1404 393

Answer:

  A

Step-by-step explanation:

Vertical multiplication of polynomials is virtually identical to vertical multiplication of integers. The "place value" associated with a column is the power of the variable. When adding within a column, there is no "carry" to the next column the way there is with integers.

Here, the correct answer choice can be found by looking at the coefficients of x^2 and of x.

Answer:

5

Step-by-step explanation:

2y=10+x

y=3x

Equalizing both sides:

10+x=3x

10=3x-x

10=2x

x=5

Answer: A (10)

Step-by-step explanation:

Plug in Q(-3) into formula x^2-x-2

(-3)^2-(-3)-2= 9+3-2

=10

Answer:

Hello,

19

Step-by-step explanation:

2 methodes:

1)

[tex]y=-4x^2+20x-6\\\\=-4(x^2-5x)-6\\\\=-4(x^2-2*\dfrac{5}{2}*x+\dfrac{25}{4} ) +25-6\\\\=-4(x-\frac{5}{2} )^2+19\\\\Maximum\ =19 \ if\ x=\dfrac{5}{2} \\[/tex]

2)

y'=-8x+20=0 ==> x=20/8=5/2

and y=-4*(5/2)²+20*5/2-6=-25+50-6=19

finding maximums/minimums in quadratic equations:

The maximum value is 19

We want to find the maximum value of:

y = -4z^2+20z-6

Here, you can see that we have a quadratic equation with a negative leading coefficient.

This means that the arms of the graph will go downwards. From this, we can conclude that the maximum will the at the vertex (the highest point).

Remember that for a general equation like:

y = a*x^2 + b*x + c

The x-value of the vertex is:

x = -b/(2a)

(you can see that the variable is a different letter, that does not matter, is just notation)

Then for our equation:

y = -4z^2+20z-6

The z-value of the vertex is:

z = -20/(2*-4) = -20/-8 = 5/2

Then the maximum of the equation:

y = -4z^2+20z-6

is that equation evaluated in z = 5/2

So we get:

y = -4*(5/2)^2 + 20*(5/2) - 6  = 19

The maximum value is 19

If you want to learn more about this topic, you can read:

https://brainly.com/question/14336752

Answer:

Step-by-step explanation:

Common difference between the terms is 36

Formula for nth term is [tex]a_n=36n-11[/tex]

27th term is 961

Given :

X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence

To Find:

We need to find the constant difference between the given terms and also find the nth term . Also find the 27th term .

To find the difference , we need to take the difference of consecutive terms

[tex]2x+11-x=x+11\\\\4x-3=(2x+11)= 4x-3-2x-11=2x-14[/tex]

Both the common differences are equal

[tex]x+11=2x-14\\Solve \; for \; x\\Subtract \; x\\11=x-14\\Add \; 14\\x=25[/tex]

First term is 25

second term is 2(25)+11=61

Difference is 61-25=26

Common difference = 36

Use nth term formula is

[tex]a_n=a+(n-1)d\\a=25 (first term )\\d=36\\a_n=25+(n-1)(36)\\a_n=25+36n-36\\a_n=36n-11[/tex]

To find 27th term , replace n with 27

[tex]a_{27}=36(27)-11=961[/tex]

Learn more :  brainly.in/question/41142594

Answer:

If there were 20 children at a party, and each were given one cookie, then a total of 20 cookies were given out.

However, this is not the case, as 32 cookies were given out. So, we can see that 32 - 20 children, or 12 children, received one additional cookie.

Let me know if this helps!

Answer:

i need the graph

Step-by-step explanation:

.

Answer:

B

Step-by-step explanation:

the data value of x is 0 the the value would be .75 times that by 2 get 1.25

Answer:

Sorry this is NWEA so I want you to try and figure it out on your own, hint: use subtraction.

Step-by-step explanation:

Answer:

10x-17

Step-by-step explanation:

f(x) = x^2 + 9x – 14

g(x) = x^2 – x + 3

(f – g)(x)=x^2 + 9x – 14  - (x^2 – x + 3)

Distribute the minus sign

(f – g)(x)=x^2 + 9x – 14  - x^2 + x - 3

Combine like terms

    =10x-17

Answer:

Bri what do you mean explanation your answer is correct

Please mark me brainliest thanks

Answer:

It is 77.2, so your anwer is correct.

Step-by-step explanation:

Finding decimal divided by decimal too hard? Don't worry, I've got your back! To do division, you can do it the hard way by just dividing it, but there's something more simple.

Move the dividend's decimal point to the right until it's not a decimal. Do the same with the divisor, but it depends on how many decimal places on the dividend was moved by. So in this case, you move it by 2 decimal places for BOTH! Then you just simply divide it. It gives you the same answer.

BTW if I didn't make my explanation clear, please comment.