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Rama09 [41]
2 years ago
12

Use the quadratic formula to solve the problem: y=2x²+4x-6be sure to show all your work

Mathematics
1 answer:
klio [65]2 years ago
6 0
x\text{ =}\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

That above is the quadratic formula where

a = 2

b = 4

c = -6

x=\frac{-4\pm\sqrt[]{4^2-4\times2\times-6}}{2\times2}\begin{gathered} x\text{ = }\frac{-4\pm\sqrt[]{16+48}}{4} \\ x=\frac{-4\pm\sqrt[]{64}}{4} \\ x\text{ = }\frac{-4\pm8}{4} \end{gathered}\begin{gathered} x\text{ =}\frac{-4\text{ + 8}}{4\text{ }}=\frac{4}{4}=1 \\ or \\ x\text{ = }\frac{-4-8}{4}=\frac{-12}{4}=-3 \end{gathered}

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What is the correct definition for sec theta ?
lutik1710 [3]
Sec Ф=1/cos Ф=cos⁻¹Ф

correct answers: a. sec Ф=cos⁻¹Ф    and    d. sec Ф=1/ cos Ф
7 0
3 years ago
The expression, involving exponents , to represent the shaded area, in square inches, diagram. Then use that expression to calcu
mart [117]

Answer:

The shaded area is 23\ in^{2}

Step-by-step explanation:

we know that

The shaded area is equal to the area of the large square minus the area of the two smaller squares

so

A=6^{2} -(3^{2} +2^{2})\\ \\ A=(2*3)^{2} -(3^{2} +2^{2})\\ \\A=(2^{2})(3^{2}) -(3^{2} +2^{2})

Calculate the shaded area

Remember that

3^{2}=9\\ 2^{2}=4

substitute

A=(4)(9) -(9 +4)\\ \\A=36-13\\ \\A=23\ in^{2}

5 0
3 years ago
F(-4,5), G(3,3), H(6,-4) and I(-1,-2).
lisabon 2012 [21]

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4 0
3 years ago
Jarrett's puppy weighed 3 3/4 ounces at Birth. At 1 week old, the puppy weighed 5 1/8 ounces. At 2 weeks old, the puppy weighed
Ad libitum [116K]

Answer:  The answer is 7\dfrac{7}{8} ounces.

Step-by-step explanation: Given in the question the weight of Jarrett's puppy at birth, one week old and 2 weeks old are as follows:

b_0=3\dfrac{3}{4}=\dfrac{15}{4}~\textup{ounces},\\\\\\b_1=5\dfrac{1}{8}=\dfrac{41}{8}~\textup{ounces},\\\\\\b_3=6\dfrac{1}{2}=\dfrac{13}{2}~\textup{ounces}.

We can see that

b_1-b_0=b_2-b_1=\dfrac{11}{8}.

So, the weight of the baby will make an arithmetic progression with first term 'a' and common difference 'd' as follows:

b_0=\dfrac{15}{4},~~d=\dfrac{11}{8}.

Thus, the weight of the puupy after 3 weeks will be

b_3=b_0+3\times d=\dfrac{15}{4}+3\times\dfrac{11}{8}=\dfrac{30+33}{8}=\dfrac{63}{8}=7\dfrac{7}{8}~\textup{ounces}.

5 0
4 years ago
Read 2 more answers
A phone can update 6 apps every 4 minutes. At this rate, how many apps can the phone update in 10 minutes? Show your work.
Arada [10]

Answer:

15 apps.

Step-by-step explanation:

Divide 6 by 4, and you get how much apps that phone can do in a single minute. Then multiply that number by 10 and you get 15 apps in 10 minutes.

6 0
3 years ago
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