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3 years ago

What is the solution to the system of equation

Mathematics

1 answer:

maksim [4K]3 years ago

4 0

Answer:

D. (2 , 1)

Step-by-step explanation:

STEP 1: Replace all occurrences of $y$ with $-3x+7$ in each equation.

$-x+14=12\\y=-3x+7$

STEP 2: Solve for $x$ in the first equation.

$x=2\\y=-3x+7$

STEP 3: Replace all occurrences of $x$ with $2$ in each equation.

$y=1\\x=2$

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After a tropical storm in a certain state, news reports indicated that 19 percent of households in the state lost power during t

olya-2409 [2.1K]

Answer:

H0:p=0.19

Ha:p>0.19

Step-by-step explanation:

7 0

3 years ago

Geometry question!!

Mademuasel [1]

Answer:

GQ=25 units

Step-by-step explanation:

we know that

Point Q is the midpoint of GH

GH=GQ+QH and GQ=QH

GH=2GQ -------> equation A

we have

GH=5x-5

GQ=2x+3

substitute in the equation A and solve for x

5x-5=2(2x+3)

5x-5=4x+6

5x-4x=6+5

x=11

Find the length of GQ

GQ=2x+3

substitute the value of x

GQ=2(11)+3

GQ=25 units

4 0

4 years ago

The following values of (x) and f(y) are given. Find the best value of (dy/dx) at

velikii [3]

Answer:

dy/dx at x=6 is 0.334

Step-by-step explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

$\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334$

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3 years ago

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit

coldgirl [10]

Changing the equation into slope form: $y = mx + c$ , where $m$ is the slope [gradient] and $c$ is the y-intercept.

$2x+3y=1470$
$3y = -2x+1470$
$y= - \frac{2}{3}x+ \frac{1470}{3}$
$y=- \frac{2}{3}x+490$

The gradient is $- \frac{2}{3}$ and y-intercept is at $y=490$

Graphing $y=- \frac{2}{3}x+490$ using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
   $0 = - \frac{2}{3}x+490$
   $\frac{2}{3}x = 490$
   $2x = 1470$
   $x = \frac{1470}{2}$
   $x = 735$
So, x-intercept is at (735, 0)

The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

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

Next month's profit equation

$2x+3y=1593$

Rewriting this into slope-equation form

$3y = -2x+1593$
$y=- \frac{2}{3}+ \frac{1593}{3}$
$y= - \frac{2}{3}+531$

The gradient, $m$ , equals to $- \frac{2}{3}$
The y-intercept, $c$ , equals to 531

The equation still has the same gradient with last month's profit equation but different y-intercept.

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

A linear graph show points of (0, 300) and (450, 0)

We work out the slope:
$\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30} =- \frac{2}{3}$

Y-intercept at x = 0, so it's at y = 300

Equation $y = - \frac{2}{3}+300$

6 0

3 years ago

Function g is defined below.

Elina [12.6K]

Rule: if you have graph of function y=f(x) and a>0, then:
1. y=f(x-a) is translation a units right;
2. y=f(x+a) is translation a units left;
3. y=f(x)-a is translation a units down;
4. y=f(x)+a is translation a units up;

Since g(x)=f(x+2)-5, then firstly you have to translate the graph of function y=f(x) two units left and secondly 5 units down.

6 0

4 years ago

Read 2 more answers