the graph of a certain quadratic function has no x-intercepts. Which of the following are possible values or the disriminant?

The point that is a solution for the given system of inequalities is the second option, the point is (1, 5)

We want to see which of the given points is a solution of the system of inequalites.

A point is a solution of the system if it is a solution of both of the inqeualities.

Here any point on the blue region will be a solution, then we can see that the point (1, 5) is in the blue region, so it is a solution.

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The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.

To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate,  we can use the PMT (Payment) function.

The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.

Let's break down the given information:

Present Value (PV): $0.00 (initial account balance)

Future Value (FV): $3,000.00 (savings goal)

Interest Rate (rate): 10% per year (annual interest rate)

Number of Periods (nper): 4 years (48 months)

Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).

The formula for the PMT function is:

PMT(rate, nper, pv, [fv], [type])

Where:

rate = Interest rate per period

nper = Total number of periods

pv = Present value (initial account balance)

fv = Future value (savings goal)

type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.

We'll assume 0 for monthly savings.

Let's calculate the monthly savings using the PMT function:

PMT(10%/12, 4*12, 0, -3000, 0)

Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).

Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.

Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.

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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.

Answer:

\( \frac{2}{5} \)

The amount you have after 18 months is $ 1143.96 .

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

\(A=P {(1 +\frac{r}{n})^{nt} }\)

Given:

P = 1000 , r in decimal  = 0.09 ,

n = 12 ,  t = 1.5 ( 18 months = one and a half years).

Substituting the values into the formula:

A = 1000 ( 1 + 0.09/ 12 ) ^[12 ( 1.5 )]          

  ≈ 1000 ( 1.143960 )          

  = 1143.960

Rounding to the nearest cent, we get $ 1143.96 .

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Answer:

x = -7

Step-by-step explanation:

6+2x=-8

2x=-14

x = -7

Answer:

x= -7

Step-by-step explanation:

6+ 3x = x-8

   -x.     -x

-----------------

6+2x = -8

-6.        -6

---------------

2x = -14

---      ---

2.       2

-------------

x= -7

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)

Answer:

$33.75; 25+1.75x

Step-by-step explanation:

a) cost = membership fee + cost of pizzas

= 25 + 1.75*5

= 25 + 8.75

= ($) 33.75

b) cost = 25 + 1.75x

Explanation:

The inverse undoes whatever f(x) does. So if the input is x = -8 leads to the output y = -9, then the inverse reverses the process. Effectively, the input and output swap. It's essentially asking the question "if f(x) = -9, then what is the value of x?". In this case, the answer would be x = -8

Answer: 4000

Step-by-step explanation:

Step-by-step explanation:

lim(n→∞) (2ⁿ / 2ⁿ⁺¹)

lim(n→∞) (2ⁿ / (2ⁿ × 2¹))

lim(n→∞) (1 / 2)

1/2

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

1/2

Step-by-step explanation:

The equation given is put in slope intercept form

y = mx + b

where m = slope and b = y intercept

In the equation y = 1/2x + 3/2,
"1/2" takes the spot of "m" meaning that the slope of the equation is 1/2

Answer:

Umm !! it's 260

Step-by-step explanation:

Hope I'm right ?!!!!?!??

Answer:

30inches

kkkkkkkkkkkkkkkk

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Out of six sides on the die, two are the desired results, which are 1 or 6, hence the probability is given as follows:

p = 2/6

p = 1/3.

Hence, out of 60 trials, the expected number of successes is given as follows:

E(X) = 60 x 1/3

E(X) = 20.

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From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Answer: $8.25

Step-by-step explanation: 33 divided by 4 (find unit rate)

Answer: $8.25

Step-by-step explanation:

Simply divide $33.00 by 4. 33/4 = 8.25

Step-by-step explanation:

4k - 6 < 3k + (k - 1)

4k < 3k + 6(k - 1)

4k < 3k + 6k - 6

4k < 9k - 6

4k - 9k < -6

-5k < -6

k < -6

-5

k < 6

5

You're right; the answer is the first choice.

Answer:

first option ,  $57.6

Step-by-step explanation:

$80 x 0.20 = $16

$80 - $16 = $64

$64 x 0.10 = $6.4

$64 - $6.4 = $57.6

above solution is the exact steps on the first option.

therefore the final price of the jacket is $57.6

Answer:

When hot chocolate sales increase, so do coffee sales, but the sale of one does not increase the other. There were just more customers that day.  

Step-by-step explanation:

Answer:

2 km 691 m

Step-by-step explanation:

5 km - 2 km 309 m

= 5000 m - 2309 m

= 2691 m

= 2 km 691 m

Answer:

184 R2

Step-by-step explanation:

5890/ 32= 184 R2

Answer:

184.0625

Step-by-step explanation:

Rounded:

184.003

184.06

184.1

184

Step-by-step explanation:

hope this is correct.......

Answer:

M = 26

Step-by-step explanation:

4m + 3m - 5 + 3 = 180 degree

7m -2 = 180 degree

7m = 180+2

7m = 182

m = 182/7

m =   26

26 x 4 - 5 = 104 - 5 = 99

26 x 3 +3 = 78+ 3 = 81

Answer:

Step-by-step explanation:

208

Answer:

603 hope this helps

Answer:

x = 2

y = 1

z = 4

Step-by-step explanation:

Step 1:

2x + y + z = 9

3x - y = z = 9

5x + 2z = 18 <-- add x and y

Step 2:

-x -y + z = 1

2x + y + z = 9

x + 2z = 10

Step 3:

-(x + 2z = 10) = -x - 2z = -10

5x + 2z = 18

-x - 2z = -10

4x = 8

x = 2

Step 4: solve for z

-x - 2z = -10 <-- Plug x

-(2) - 2z = -10

-2z = -8

z = 4

Step 5: solve for y

2x + y + z = 9

2(2) + y + 4 = 9

8 + y = 9

y = 1

Yes, 3 divides 27,333. We have

27,333 = 27,000 + 333

… = 27•1,000 + 333

… = 3•9•1,000 + 3•111

… = 3•(9•1,000 + 111)

… = 3•(9,000 + 111)

… = 3•9,111

Answer: its C

Step-by-step explanation: