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3 years ago

Solve the following system of equations using the elimination method.

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

So for eliminating, you only solve for one variable first.

I solved for y, so I multiplied by -4 to eliminate the x.

Then I got y= -1

I then substituted that to one of the equations to get x.

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Hitomi has a total of 30 red and blue bowling balls at her bowling alley. Each red ball weighs 8 lbs. Each blue ball weighs 9 lb

sergejj [24]

Answer:

5 balls

Step-by-step explanation:

7 0

3 years ago

A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte

ELEN [110]

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, $q_1 = Q- r \times Q$

$q_1 = Q(1-r)\cdots(i)$

The value of quantity after 2 months, $q_2 = q_1- r \times q_1$

$q_2 = q_1(1-r)$

From equation (i)

$q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)$

The value of quantity after 3 months, $q_3 = q_2- r \times q_2$

$q_3 = q_2(1-r)$

From equation (ii)

$q_3=Q(1-r)^2(1-r)$

$q_3=Q(1-r)^3$

Similarly, the value of quantity after n months,

$q_n= Q(1- r)^n$

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

$q_{48}=Q(1-r)^{48}$

Putting Q=6200 and r=5.5%=0.055, we have

$q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32$

Hence, the value of quantity after 4 years is 410.32.

4 0

3 years ago

Read 2 more answers

3. A garden is going to be built in the city park in the shape of a parallelogram with a rectangular walkway through it. The gar

ankoles [38]

Ok so the area of the triangle on the left would be:
A = (1/2)*bh
A = (1/2)*30*78
= 15*78
= 1170 ft^2

Now since the shape is a parallelogram, the two triangles should have the same area (imagine taking off the triangle on the left and sticking it next to the triangle on the right - this will form a rectangle made up of the two triangles)

So area of the garden = 1170*2 = 2340 ft^2

4 0

3 years ago

Read 2 more answers

Please help ASAP!!!!!!!

s2008m [1.1K]

Answer:

Step-by-step explanation:

Given the expression

g(x) = 2x and h(x) = x^2 + 4

Find hoh(-4)

First we need to find (hoh)(x)

(hoh)(x) = h(h(x))

h(h(x)) = h(x^2+4)

h(x^2+4) = (x^2+4)²+4

h(x^2+4) = x⁴+8x²+16 + 4

h(x^2+4) = x⁴+8x²+20

h(h(x)) = x⁴+8x²+20

when x = -4

h(h(-4)) = (-4)⁴+8(-4)²+20

h(h(-4)) = 256+128+20

h(h(-4)) = 404

<em>Hence hoh(-4) is 404</em>

4 0

3 years ago

Find the nth term of this sequence 1,5,9,13,17-think it’s 4 but not sure x

dolphi86 [110]

It would be 33 because youre adding 4 each time

5 0

3 years ago

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