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juin [17]
3 years ago
11

Make t the subject of 5(t − g) = 2t + 7

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t =  \frac{7 + 5g}{3}

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3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.
Diano4ka-milaya [45]

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

3x^3+21x^2+36x=0

Taking 3x common.

3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0

x = 3

x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.

5 0
3 years ago
debt payments of $800 due now and $1400 due in 5 months are to be repaid by a payment of $1000 in 3 months and a final payment i
loris [4]

Answer:

$1,304.70

Step-by-step explanation:

If interest 6% annually, monthly is 0.5%.

The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt

800(1.005)^5+1400=2220.201

In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment

2220.201(1.005)^3-1000=1253.67

After 8 months the debt would be 1253.67 plus compounded interest for 8 months

2220.201(1.005)^3=1304.70

Then the size of the final payment would be $1,304.70

5 0
3 years ago
4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4​
eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

a_n=a_1+d(n-1) and we are given enough info to fill in:

a_n=-35+4(n-1) and

a_n=-35+4n-4 and

a_n=-39+4n or in linear format:

a_n=4n-39 where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

a_2=4(2)-39 so

a_2=8-39 and

a_2=-31

The third term:

a_3=4(3)-39 and

a_3=12-39 so

a_3=-27 and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

a_5=4(5)-39 and

a_5=20-39 so

a_5=-19

7 0
3 years ago
Cheri's time in the bobsled race was 1 min, 38.29sec. Write the word form and the value of the 9 in Cheri's time
Artemon [7]

I believe it would be the hundredth place

7 0
4 years ago
Solve for x:negative 4 over 3, multiplied by x minus 6 equals negative 26 a−27 b−15 c15 d27
rosijanka [135]

Answer:

C

Step-by-step explanation:

-4/3 x - 6 = -26

Add 6 to both sides

-4/3 x = -20

Divide both sides by -4/3, which is the same as multiplying by reciprocal

-20 * -3/4 = 15

x = 15

4 0
3 years ago
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