All categories

3 years ago

Ss below. help would be appreciated.

Mathematics

2 answers:

Arada [10]3 years ago

7 0

Answer:

(3,0,0)

Step-by-step explanation:

3x + 5y + z = 9 --------------(I)

-4y - z = 0 -------------------(II)

z = -4y

2x + 3y - 4z = 6 (III)

Substitute z = -4y in equation (I) and (III)

3x +5y - 4y = 9

3x + y = 9 -----------------------(a)

2x + 3y - 4*(-4y) = 6

2x + 3y + 16y = 6

2x + 19y = 6 -------------------(b)

Multiply equation (a) by (-19) and then add. So, y will be eliminated and we can get the value of x

(a)*(-19) -57x - 19y = -171

(b) 2x + 19y = 6

-55x = -165

x = -165/-55

x = 3

Plugin x = 3 in equation (a)

3*3 + y = 9

9 + y = 9

y = 9 - 9

y = 0

Plug in y = 0 in equation (II)

-4*0 - z = 0

z = 0

Step-by-step explanation:

sergeinik [125]3 years ago

5 0

Answer:

(3,0,0)

Step-by-step explanation:

3x + 5y + z = 9 --------------(I)

-4y - z = 0 -------------------(II)

z = -4y

2x + 3y - 4z = 6 (III)

Substitute z = -4y in equation (I) and (III)

3x +5y - 4y = 9

3x + y = 9 -----------------------(a)

2x + 3y - 4*(-4y) = 6

2x + 3y + 16y = 6

2x + 19y = 6 -------------------(b)

Multiply equation (a) by (-19) and then add. So, y will be eliminated and we can get the value of x

(a)*(-19) -57x - 19y = -171

(b) <u> 2x + 19y = 6 </u>

-55x = -165

x = -165/-55

x = 3

Plugin x = 3 in equation (a)

3*3 + y = 9

9 + y = 9

y = 9 - 9

y = 0

Plug in y = 0 in equation (II)

-4*0 - z = 0

z = 0

You might be interested in

Jeans (x) cost $10, shirts (y) cost $5, and socks (z) cost $3. On Wednesday a store sold a total of 150 items for a total of $90

Virty [35]

Answer:

the answer is 900

Step-by-step explanation:

the 900 will not be necessary

7 0

3 years ago

Can you help me please

vaieri [72.5K]

Answer:

a)x=5 b)x=4

Step-by-step explanation:

a)9.5×2=19

3x+4=19

19-4=15

15÷3=5

x=5

b)5×3=15

7+2x=15

15-7=8

8÷2=4

x=4

hope this helps

8 0

3 years ago

Read 2 more answers

A curve has equation y=x√x.find the equation of the tangent to the curve at the point(1, 5)

rewona [7]

Answer:

y - 5 = $\frac{3}{2}$ (x - 1)

Step-by-step explanation:

Note that $\frac{dy}{dx}$ = $m_{tangent}$

Differentiate using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

y = x $\sqrt{x}$ = x. $x^{\frac{1}{2} }$ = $x^{\frac{3}{2} }$ , then

$\frac{dy}{dx}$ = $\frac{3}{2}$ $x^{\frac{1}{2} }$

When x = 1

$\frac{dy}{dx}$ = $\frac{3}{2}$ . 1 = $\frac{3}{2}$

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = $\frac{3}{2}$ and (a, b) = (1, 5), thus

y - 5 = $\frac{3}{2}$ (x - 1) ← equation of tangent

3 0

3 years ago

What is 3/x + 1/xyz + 2/xy ?

-BARSIC- [3]

Answer:

Step-by-step explanation:

]

8 0

3 years ago

Read 2 more answers

Zahara mixed 5 quarts of dry ingredients and 2 quarts of water to make a

krok68 [10]

Answer:

Zahara need to add 4 quarts of water to keep the consistency the same

Step-by-step explanation:

Let

x -----> the amount of dry ingredients in quarts

y -----> the mount of water in quarts

we know that

Batch 1

$\frac{x}{y}=\frac{5}{2}$

Isolate variable y

$y=\frac{2}{5}x$ ----> equation A

Batch 2

For x=10

substitute in the equation A and solve for y

$y=\frac{2}{5}(10)=4$

The ratio batch 2 is $\frac{10}{4}$

therefore

Zahara need to add 4 quarts of water to keep the consistency the same

6 0

3 years ago