y=x^2 + 2
Tell whether it is a minimum or maximum.
O (0, 2); maximum
O (2,0); minimum
O (0, 2); minimum
O (2,0); maximum

Answer:

x=5, x=-17/5

Step-by-step explanation:

x=integer

5x-8=  ...is eight less than five times another product

=85

So our equation is x·(5x-8)=85

Steps:

distribute x

5x^2-8x=85

Subtract 85 to create a quadratic equation

5x^2-8x-85=0

Now I"ll upload the work that's shown in Symbolab because it's neater than my own work-

Hope I helped, have a nice day :)

Answer:A

Step-by-step explanation:

Answer:

3x2-3x+9

Step-by-step explanation:

(h-k)(3)

(X2+1-(x-2))(3)

(x2+1-x+2)(3)

3x2+3-3x+6

3x2-3x+9

Hello,

h(x)=x²+1

k(x)=x-2

First of all, you must understand that:

(h+k)(x)=h(x)+k(x)

So, (h+k)(3)=h(3)+k(3)=(3²+1)+(3-2)=(9+1)+1=11

3h(2)+2k(3)=3*(2²+1)+2*(3-2)

=3*(4+1)+2*1

=15+2

=17

Answer:

The signal would have experienced aliasing.

Step-by-step explanation:

Given that:

the bandwidth of the signal [tex]f_m[/tex] = 36MHz

= 36 × 10⁶ Hz

The sampling frequency [tex]f_s[/tex] = 36 × 10⁶ Hz

Suppose the sampling frequency is equivalent to the bandwidth of the signal, then aliasing will occur.

Therefore, according to the Nyquist criteria;

Nyquist criteria posit that if the sampling frequency is more above twice the maximum frequency to be sampled, a repeating waveform can be accurately reconstructed.

∴

By Nyquist criteria, for perfect reconstruction of an original signal, i.e. the received signal without aliasing effect;

Then,

[tex]f_s \geq 2f_m[/tex]

∴

The signal would have experienced aliasing.

Answer:

2 dozen hope this helps!!

4x-4=20

or, 4x=20+4

or,4x=24

or,x=20/4

tgerefore,x=5

Answer:

honesty i don't know fam

Answer:

Step-by-step explanation:

[tex]sin(2\theta)=2sin\theta~cos\theta\\\\cos(2\theta)=cos^2\theta-sin^2\theta\\\\cos\theta=\frac{24}{25}\\\\sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\we ~will~ use~ the ~minus~ sign~because~sin\theta~is~negative~in~IV~cuadrant\\sin\theta=-\sqrt{1-{(\frac{24}{25})}^2}=-\frac{7}{25}[/tex]

Now we cal calculate the quantities requested

[tex]sin(2\theta)=2sin\theta cos\theta=2(-\frac{7}{25})\frac{24}{25}=-\frac{336}{625}\\\\[/tex]

[tex]cos(2\theta)=cos^2\theta-sin^2\theta=(\frac{24}{25})^2-(-\frac{7}{25})^2=\frac{527}{625}[/tex]

[tex]tan(2\theta)=\frac{sin(2\theta)}{cos(2\theta)}=\frac{-\frac{336}{625}}{\frac{527}{625}}=-\frac{336}{527}[/tex]

Answer:

[tex]Height = 173.8ft[/tex]

Step-by-step explanation:

Given

[tex]\theta = 40^o[/tex]

[tex]d = 200ft[/tex] --- distance from building

[tex]h=6ft[/tex]--- height of the building

Let the height of the building be H. So:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(40) = \frac{H}{200}[/tex]

Make H the subject

[tex]H = 200 * \tan(40)[/tex]

[tex]H = 167.82[/tex]

The required height s:

[tex]Height = H + h[/tex]

[tex]Height = 167.82 + 6[/tex]

[tex]Height = 173.82ft[/tex]

[tex]Height = 173.8ft[/tex] --- approximately

Answer:

frfe

Step-by-step explanation:

Answer:

Since R32,210 is greater than R30,000; it simply means that Mr X would get greater return on investment

Step-by-step explanation:

a) Mr X Return

We have the compound interest formula as;

V = P(1 + r)^t

V is the value yielded after some certain amount t

Where P is the amount invested = R20,000

r is the yearly interest rate = 10/100 = 0.1

t = 5 years

so we have;

V = 20,000(1 + 0.1)^5 = R32,210.2

b) Mrs X return

We use the simple interest formula here;

A = P + I

I = PRT/100

where P, the principal is the amount invested = R20,000

R = 10%

T = 5 years

I = (20,000 * 10 * 5)/100

I = R10,000

A = R20,000 + R10,000

A = R30,000

Since R32,210 is greater than R30,000; it simply means that Mr X would get greater return on investment

Answer:

[tex]Time = 560\ mins[/tex]

Step-by-step explanation:

Given

[tex]Candles = 2[/tex] --- candles melted

[tex]Divisions = 12[/tex]

[tex]Time = 4\ hrs[/tex] --- time to melt

Required

The time since the first was lit

If 1 candle melts in 4 hours, 2 candles will melt in 8 hours.

i.e.

[tex]x = Candles * Time[/tex]

[tex]x = 2 * 4hrs[/tex]

[tex]x = 8hrs[/tex]

For the 3rd candle that has melted, 4 inches

First, calculate the fraction that melt

[tex]Fraction = \frac{Melt}{Division}[/tex]

[tex]Fraction = \frac{4}{12}[/tex]

[tex]Fraction = \frac{1}{3}[/tex]

The time to melt is:

[tex]y = Fraction * Time[/tex]

[tex]y= 4 * \frac{1}{3}[/tex]

[tex]y= \frac{4}{3}hrs[/tex]

So, the required time is:

[tex]Time = x + y[/tex]

[tex]Time = 8hrs + \frac{4}{3}hrs[/tex]

Convert to minutes

[tex]Time = 8*60mins + \frac{4}{3}*60mins[/tex]

[tex]Time = 480mins + 80mins[/tex]

[tex]Time = 560\ mins[/tex]

9514 1404 393

Answer:

  522 in²

Step-by-step explanation:

The area of a regular polygon is given by the formula ...

  A = 1/2Pa

where P is the perimeter and 'a' is the apothem. Using the given values, we find the area to be ...

  A = 1/2(5·17.4 in)(12 in) = 522 in²

Answer:2

2Step-by-step explanation:

2

Answer:

x = 45/8

Step-by-step explanation:

8x – 3y = 36

Let y=3

8x – 3*3 = 36

8x - 9 = 36

Add 9 to each side

8x -9+9 = 36+9

8x = 45

Divide each side by 8

8x/8 = 45/8

x = 45/8

Answer:

x = 45 / 8

Step-by-step explanation:

8 x - 3 y = 36

8 x - 3 × 3 = 36 ( given :- y = 3 )

8 x - 9 = 36

add 9 to both side

8 x - 9 + 9 = 36 + 9

8 x = 45

Divide each side by 8

8 x / 8 = 45 / 8

X = 45 / 8

Answer:

- 31

Step-by-step explanation:

4(3 − 2) − 7(5)

Subtract 3 - 2

4(1) - 7(5)

Multiple -7 and 5

4 - 35

Subtract 4 - 35

The correct answer is -31.

The simplified form of 4(3 − 2) − 7( + 5) is -31.

To simplify the given expression, using (PEMDAS/BODMAS) and simplify each part step by step.

4(3 − 2) − 7( + 5)

First, simplify the expressions inside the parentheses:

3 − 2 = 1

+ 5 = 5

then, the expression becomes:

4(1) − 7(5)

Next, let's perform the multiplications:

4(1) = 4

7(5) = 35

The expression now becomes:

4 − 35

Finally, let's perform the subtraction:

4 − 35 = -31

Therefore, the simplified form of 4(3 − 2) − 7( + 5) is -31.

Learn more about PEDMAS here:

https://brainly.com/question/24086845

#SPJ2

9514 1404 393

Answer:

  1328.4 square units

Step-by-step explanation:

The total surface area is the sum of the areas of the trapezoidal bases, and the areas of each of the four rectangular faces.

The area of each trapezoidal base is ...

  A = 1/2(b1 +b2)h

  A = 1/2(10 +24)(9) = 153 . . . . square units

__

The total area of the four rectangular faces is ...

  A = bh . . . . area of one face

  A = 11.4(18) +10(18) +11.4(18) +24(18) = (11.4 +10 +11.4 +24)(18) = 1022.4

So, the total area is ...

  SA = 2×base area + face area

  = 2×153 +1022.4 = 1328.4 . . . . square units

Answer:

c. 250

Step-by-step explanation:

Answer:  1. x=18

2. x=21

Step-by-step explanation:

1.Q 114=7x-12

7x=126

x=18

2.Q 4x-2=3x+19

4x-3x=19+2

x=21

Answer:

Step-by-step explanation:

if im right but i think

7x-12=144 opposite sides are congruent

7x/7=156/7

X= 22.285

Answer:

because in lowest term it's ratio is same

Step-by-step explanation:

hope you understand

Answer:

The ratios of 3:2, 6:4, and 9:6 are all equivalent because when you divide the numerator over the denominator, you get the same result for all of them. This means that if we took 3/2 and got 1.5, and took 6/4 and got 1.5 as an answer, and took 9/6 and got 1.5 as an answer as well, we would have the same answer for all of them. This is why (in my own words) the ratios are all equivalent.

Answer:

A is f(t)=-(t-4)^2+50

B is 50. the top of the graph is at 50

C is at 4. that is the x value when y=50

If you need the graph put the answer from question A into Desmos

Answer:

your answer is 12

I've answered it before and got it right

Answer:

Hello! answer: 3

Step-by-step explanation:

Perfect circles are 360 degrees

120 × 3 = 360 therefore the answer would be 3 Hope that helps!

Answer:

The length of side x is [tex]x = \sqrt{6}[/tex]

Step-by-step explanation:

Pythagorean Theorem:

In a right triangle, with sides a and b, and hypothenuse h, we have that:

[tex]a^2 + b^2 = h^2[/tex]

In this question:

The vertical line on the sides means that both are equal, that is, measuring x, so [tex]a = b = x[/tex].

Hypothenuse is the square root of 12. So [tex]h = \sqrt{12}[/tex]

[tex]x^2 + x^2 = (\sqrt{12})^2[/tex]

[tex]2x^2 = 12[/tex]

[tex]x^2 = \frac{12}{2}[/tex]

[tex]x^2 = 6[/tex]

[tex]x = \sqrt{6}[/tex]

The length of side x is [tex]x = \sqrt{6}[/tex]

Answer:

b, a, c

Step-by-step explanation:

In a triangle, the largest angle is opposite the longest side. The smallest angle is opposite the shortest side.

This triangle has 3 given side lengths: 3 ft, 5 ft, and 7 ft.

The largest angle is opposite the longest side. That is angle b.

The smallest angle is opposite the shortest side. That is angle c.

The order from largest to smallest angle is

b, a, c

Answer:

C. 4 because line o serve as the vertex for each angle there.

Answer:

(a) Because the expression is not an equation

(b) Because the expression is an equation

Step-by-step explanation:

Solving (a): a + 2

The above expression can assume any value for a because it is not an equation.

Take for instance:

a = 2;

[tex]a + 2 \to 2 + 2 = 4[/tex]

[tex]a =-4[/tex]

[tex]a + 2 \to -4 + 2 = -2[/tex]

The reason for this is because the expression is not an equation

Solving (b): [tex]b + 2 = 5[/tex]

The above expression can assume only value for b, and the value is:

[tex]b + 2 = 5[/tex]

[tex]b = 5-2[/tex]

[tex]b =3[/tex]

This means that only [tex]b =3[/tex] will make the equation true.

The reason for this is because the expression is an equation