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2 years ago

Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?

Mathematics

2 answers:

lesya692 [45]2 years ago

7 0

Answer:c

Step-by-step explanation:

Kruka [31]2 years ago

5 0

How the quadratic formula works:

For any quadratic equation ax² + bx + c = 0, the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ .

In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0

Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.

Plug these into our quadratic formula and solve.

$x=\frac{-(-1)\pm\sqrt{(-1)^2-4(7)(-7)}}{2(7)}=\boxed{\frac{1\pm\sqrt{197}}{14}$

There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.

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A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month.

kumpel [21]

Answer:

Step-by-step explanation:

Given that:

Initial payment done for buying the phone = $50

Charges per month for the phone = $25 per month

To find:

The equation to represent the situation and its slope.

Solution:

First of all, let us assume that $m$ represents the number of months for which monthly is to be made.

Charges paid for one month = $25

Charges paid for $m$ months = $25 $m$

Total cost of the phone = Initial payment + Charges paid for $m$ months

$C = 25m + 50$

It is a linear equation between two variables $C$ and $m$ .

This equation can be compared with slope intercept form of a line.

Slope intercept form of a line is represented by:

$y=Mx+c$

$M$ is the slope.

On Comparing, we get:

$y = C, M = 25, x = m, c = 50$

Therefore, the slope is 25.

5 0

2 years ago

Solve 247 divided by 10(^2) . and 247x10 (^2) what's different about the two answers?

guajiro [1.7K]

247 divided by 10^2 is 2.47 and 247 times 10^2 is 24,700

6 0

2 years ago

On monday ,jan made wgitmddrawls of $25,$45 and $75 from her savings account .On the sane day, het twin sister lola made withdra

Dafna11 [192]

Part (a):
We will assume that the total amount is Jan's saving account is "m"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -25$ - 45$ - 75$
Amount of money remaining in her account = m - 145$
The amount of money Jan withdrew = 25$ + 45$ + 75$ = 145$

Part (b):
We will assume that the total amount is Lola's saving account is "n"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -35$ - 55$ - 65$
Amount of money remaining in her account = n - 155$
The amount of money Lola withdrew = 35$ + 55$ + 65$ = 155$

7 0

2 years ago

Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have sol

aalyn [17]

Answer:

(a) 0.09

(b) 0.06

(d) 0.9118

(e) 0.03

Step-by-step explanation:

Let A = boards have solder defects and B = boards have surface defects.

The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

It is provided that the events A and B are independent, i.e.

$P(A\cap B)=P(A)\times P(B)$

(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

$=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09$

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

$P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018$

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

$P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118$

Thus, the probability that none of the defect is found is 0.9118.

(e)

The probability that the defect found is a surface finish is 0.03.

6 0

2 years ago

Answer asap please

sergeinik [125]

Answer:

t = 0

If the loan is to be paid in 0 months, the amount is very large

m = 50

Of the loan is to be paid in an indefinite amount of time, monthly payment would be 50

Step-by-step explanation:

(12000 + 600t)/12t

1000/t + 50

Asymptotes:

t = 0

If the loan is to be paid in 0 months, the amount is very large

m = 50

Of the loan is to be paid in an indefinite amount of time, monthly payment would be 50

3 0

2 years ago