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Mice21 [21]
3 years ago
13

The solutions of the quadratic equation 0 = (x + 3)(x − 2) are –6 and 0. –4 and 3. –3 and 2. –2 and 1.

Mathematics
1 answer:
wariber [46]3 years ago
8 0

Answer:

The answer to your question is -3 and 2

Step-by-step explanation:

If an equation is factored, to find the roots, just equal each term to zero.

                       (x + 3)(x - 2) = 0

Equal each term to zero

                        x₁ + 3 = 0                x₂ - 2 = 0

Solve for x

                        x₁ = -3                    x₂ = 2

The solutions to this quadratic equation are -3 and 2.

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What is 48% of 64 please give right answers only
Charra [1.4K]

Answer:

30.72

Step-by-step explanation:

7 0
3 years ago
For the decimal 0.09, (a) write a fraction and (b) write a percent.
sp2606 [1]

Answer:

9/100, 9%

Step-by-step explanation:

0.09 is equal to 9/100

0.09 is equal to 9 percent

3 0
3 years ago
Read 2 more answers
Help it’s easy but yh still need help lol
guapka [62]

Answer:

14 students walk

Step-by-step explanation:

40 total

22 girls

18 boys - 7 boys who cycle = 11 boys - 6 who take the bus. That leaves 5 boys who walk.

9 girls walk

5 + 9 = 14 total.

3 0
2 years ago
30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...
Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is -\frac{1}{4}

Thus, r=-\frac{1}{4}

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is a_{n}=a_{1} \cdot r^{n-1}

To find the fifth term, substitute n=5 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}

To find the sixth term, substitute n=6 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}

To find the sum of the first six terms:

The general formula to find Sn for |r| is S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}

\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}

Thus, the sum of first six terms is 38.39

5 0
3 years ago
X^2 -5x + 7<br><br> If 1/3 x h(-8)
jeka94
The answer is 37!

(-8)^2 - 5(-8) + 7 = 111

(111)(1/3) = 37
6 0
3 years ago
Read 2 more answers
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