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max2010maxim [7]
3 years ago
12

y = 3x + 3 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution

in (x, y) form.
Mathematics
1 answer:
Leona [35]3 years ago
5 0
Y = 3x + 3
y = x - 1

As you can see, both equations are set to equal y. This means the right sides of each equation are equal, since y is isolated in both equations. So to solve this particular system of equations for x, set the right sides of both equations equal to each other. After you've done that, you can proceed to solve the equation algebraically for the variable, x.

3x + 3 = x - 1
2x + 3 = -1
2x = -4
x = -2

Negative two is the x-value. To find the y-value, substitute -2 for x into either equation and solve algebraically for y.

y = x - 1
y = -2 - 1
y = -3

The final step is to check all work by plugging both x- and y-values back into both equations.

y = 3x + 3
-3 = 3(-2) + 3
-3 = -6 + 3
-3 = -3  --  This is true

y = x - 1
-3 = -2 - 1
-3 = -3  --  This is true.

Answer:
(-2, -3)
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What is the equation of g(x)?
Ksenya-84 [330]

Answer:

g(x)=10^{x-3}

Step-by-step explanation:

Notice that function g(x) has the exat shape of function f(x), and it has just be translated to the right by 3 whole units.

Recall that horizontal translations to the right involve subtracting the number of units moved in the translation from the variable "x". therefore, in our case this means:

f(x)=10^x\\g(x)=10^{x-3}

4 0
3 years ago
I WILL GIVE BRAINLIEST FOR Correct Answer
VladimirAG [237]
Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.

in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1 

in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2
equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
sin24*BD-sin16*BD=sin16*7600----> BD=[sin16*7600]/[sin24-sin16]
BD=15979 ft

in the triangle BCD
cos24=BD/BC---------> BC=BD/cos24-------> 15979/cos24-------> 17491
BC=17491 ft

the answer part 1) BC is 17491 ft

Part 2) Find CD, the height of the plane from the ground, to the nearest foot.

CD=sin24*BD        ( remember equation 2)
BD=15979 ft
CD=sin24*15979 -----------> CD=6499 ft

the answer part 2)  CD is 6499 ft
4 0
3 years ago
Read 2 more answers
2. Calculate the energy in joules of a photon whose frequency is 7.55×1014 Hz.
igomit [66]
The energy of a photon is given by
E = h × v

where:
E is the energy in joules/photon
'h' is the constant 6.63 × 10⁻³⁴
'v' is the frequency 7.55 × 10¹⁴

Substitute 'h' and 'v' into the formula we have

E = (6.63×10⁻³⁴) × (7.55×10¹⁴)
E = (6.63×7.55) × (10⁻³⁴ × 10¹⁴)
E = 50.0565 × 10⁽⁻³⁴⁺¹⁴⁾
E = 50 × 10⁻²⁰ joules/photon
8 0
3 years ago
6.The curved surface area of a cylinder is 216π. If its height is 18cm,then what will
DIA [1.3K]

Answer:

r≈4.75

Step-by-step explanation:

8 0
3 years ago
How does this diagram help show that 2/7 = 8/28
Sveta_85 [38]
This diagram shows how 2/7 = 8/28 by showing that you can color in more squares or duplicate that amount of squares 4 times in order to get 8/28. (Since 2/7 x 4/4 = 8/28.)
5 0
3 years ago
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