what are the exact solutions of x^2 - x - 4 = 0 ?

Answer:

32

Step-by-step explanation:

you add together the 2 and 6 which gets you 8 and since the formula for the area of a triangle is bass * height divided by 2 you would do 8 * 8 which is 64 and then you divide by 2 which is 32  

i think it is C

Step-by-step explanation:

Answer:

1 or D

Step-by-step explanation:

Answer:

Step-by-step explanation:

389

Answer. 3/89

Step-by-step explanation:

HEY FREN

Answer:

Her account balance at the end of 2 years is $257.5.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

In this question:

Deposit of $250, so [tex]P = 250[/tex]

Interest rate of 1.5%, so [tex]I = 0.015[/tex]

2 years, so [tex]t = 2[/tex]

Amount of interest earned:

[tex]E = P*I*t = 250*0.015*2 = 7.5[/tex]

Total amount:

[tex]T = E + P = 7.5 + 250 = 257.5[/tex]

Her account balance at the end of 2 years is $257.5.

9514 1404 393

Answer:

  D B C A

Step-by-step explanation:

The decimal equivalents are ...

  A 0.15 = 0.15

  B 1/10 = 0.10

  C 12% = 0.12

  D 1/20 = 0.05

Least-to-greatest, the order is D B C A.

Answer & Step-by-step explanation:

The formula is given in the middle. You are supposed to insert the value of x into this formula to find the value of y (like in the first given example):

[tex]x=-2\\y=2(-2)+5\\y=-4+5\\y=1[/tex]

------

[tex]x=-1\\y=2(-1)+5\\y=-2+5\\y=3[/tex]

------

[tex]x=0\\y=2(0)+5\\y=0+5\\y=5[/tex]

------

[tex]x=1\\y=2(1)+5\\y=2+5\\y=7[/tex]

------

[tex]x=2\\y=2(2)+5\\y=4+5\\y=9[/tex]

:Done

Answer:

2145 cm3

Step-by-step explanation:

Volume is a three-dimensional scalar quantity. The volume of the sphere is 2,145 cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the sphere is given by the formula,

[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]

Given that the diameter of the sphere is 16 cm, therefore, the radius of the sphere is 8 cm. Now, the volume of the sphere can be written as,

[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]

                                 [tex]=\dfrac43 \pi r^3\\\\=\dfrac43 \times \pi \times (8)^3\\\\= 2,144.66\ cm^3 \approx 2,145\ cm^3[/tex]

Hence, the volume of the sphere is 2,145 cm³.

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Steps to solve for the zero:

(x + 7)(x + 5) = 0

~Set both factors to equal zero

x + 7 = 0

x + 5 = 0

~Solve for x in [ x + 7 = 0 ]

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

~Solve for x in [ x + 5 = 0 ]

x + 5 = 0

x + 5 - 5 = 0 - 5

x = -5

Therefore, the solutions are x = -7 and x = -5

Best of Luck!

Answer:

-243

Step-by-step explanation:

Answer:

A, C, and D

Step-by-step explanation:

They are subtracting

[tex]\frac{1}{4}x + 2 = -3 + \frac{1}{2} x[/tex]

First, we will take [tex]\frac{1}{4}[/tex]x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).

2 -(-3) = [tex]\frac{1}{2} x - \frac{1}{4} x[/tex]

2 + 3 = [tex]\frac{1}{4}[/tex]x

[tex]\frac{1}{4} x = 5[/tex]

Now, we will multiply both sides by 4, so as to find x.

[tex]\frac{1}{4} x[/tex] x 4 = 5 x 4

x = 20

Therefore, x = 20.

Answer:

1) 7 : 00 am, 2) 3 paletas de malvavisco, 2 bolsitas de lunetas, 16 recuerdos.

Step-by-step explanation:

(Both exercises are written in Spanish. Hence, explanations will be held in that language)

1) Las ecuaciones que describen el tiempo transcurrido en función del número de salidas de cada línea son, respectivamente:

Primera Línea

[tex]t_{1} = 15\cdot n_{1}[/tex]

Segunda Línea

[tex]t_{2} = 20\cdot n_{2}[/tex]

Donde t se mide en minutos. La siguiente relación se obtiene a partir de de igualar y sustituir el tiempo de ambas ecuaciones.

[tex]15\cdot n_{1} = 20\cdot n_{2}[/tex]

La siguiente relación es construida:

[tex]n_{1} = \frac{20}{15}\cdot n_{2}[/tex]

[tex]n_{1} = \frac{4}{3}\cdot n_{2}[/tex]

Tanto [tex]n_{1}[/tex] como [tex]n_{2}[/tex] son números naturales, si [tex]n_{2} = 3[/tex], entonces:

[tex]n_{1} = 4[/tex]

Finalmente, el tiempo transcurrido es:

[tex]t_{1} = 15\cdot (4)[/tex]

[tex]t_{1} = 60\,min[/tex]

En consecuencia, las salidas coincidirán a las 7 : 00 am.

2) El máximo número de recuerdos es determinado por el menor número de determinados dulces. Las bolsitas de lunetas representan el limitante, la razón de paletas de malvavisco a bolsitas de lunetas es:

[tex]x = \frac{48\,m}{32\,l}[/tex]

[tex]x = \frac{3\,m}{2\,l}[/tex]

La proporción óptima es de 3 paletas de malvavisco por cada 2 bolsitas de lunetas. Entonces, el máximo número de recuerdos es:

[tex]y = \frac{32}{2}[/tex]

[tex]y = 16[/tex]

El máximo número de recuerdos es 16.

Answer: 0.22 plates

Step-by-step explanation:

Given that The recipe calls for 23 cup of cheese for each plate of nachos

1 plate = 23 cups

X plate = 5 cups

Cross multiply

5 = 23x

Make the x the subject of formula

X = 5/23

X = 0.22

Or 5/23 plate

Answer:

Domain- {-2,2}

Range-{-3,2}

Step-by-step explanation:

Find each boundary of the line and make the corresponding points because its a continuous line.

Answer:

A B E

Step-by-step explanation:

A- w less-than-or-equal-to 3.6

B- The arrow points left.

E- There is a closed circle at 3.6.

Answer:

A B E

Step-by-step explanation:

Answer:

There are 3 roses in the garden.

Step-by-step explanation:

If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.

Answer:

35%

Step-by-step explanation:

See attached for visual

56 is 35% of 160

Answer:

The result is [tex]d = 2\sqrt{5}[/tex] units.

Step-by-step explanation:

The coordinates for A and B:

A = (-2, 0)

B = (2, 2)

-To find the distance between A and B, you need the distance formula:

[tex]d = \sqrt{(x_{2} - x_{1})^2 + (y_{2}-y_{1})^2}[/tex] Where the first coordinate is [tex](x_{1},y_{1})[/tex] and  the second coordinate is [tex](x_{2}, y_{2})[/tex].

-Use the coordinates A and B for the equation:

[tex]d = \sqrt{(2+2)^2 + (2-0)^2}[/tex]

-Then, you solve the equation:

[tex]d = \sqrt{(2+2)^2 + (2-0)^2}[/tex]

[tex]d = \sqrt{(4)^2 + (2)^2}[/tex]

[tex]d = \sqrt{16 + 4}[/tex]

[tex]d = \sqrt{20}[/tex]

[tex]d = 2\sqrt{5}[/tex]

So, therefore the distance is [tex]2\sqrt{5}[/tex] units.

Answer:

The sample mean = 1.8

Step-by-step explanation:

I just completed the test and this was the correct answer

The sample mean for the data is 1.8 if the first 10 people to check out books lived out of 20 population.

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

We have:

Total number of population = 20

To calculate the sample mean:

Total number of samples N = 10

Sum of the sample values ∑x = 0.5+1.8+0.8+1.8+3.5+4.8+ 0.6+ 2+1.5+0.5

∑x = 17.8

Now the mean of the sample data =  ∑x/N = 17.8/10 = 1.78 ≈ 1.8

Thus, the sample mean for the data is 1.8 if the first 10 people to check out books lived out of 20 population.

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Answer: There isnt enough information to asnwer

Step-by-step explanation:

Answer:

36⁄12

Step-by-step explanation:

Answe12800 miles

Step-by-step explanation:a year is 12 months, and mile round trip means there and back. so 532x24 for the 24 trips that equals 12768. 12768 rounded to the nearest hundreds is 12800

Answer:

2(5k + 1)

Step-by-step explanation:

5(2k - 3) + 17 =

10k - 15 + 17

10k + 17 - 15

10k + 2

2(5k + 1)

Answer:

3.7096902=area

Step-by-step explanation:

2.1x1.4=2.94m^2

2.94+(.5pi(.7^2))

Answer:

The answer is 9.4 units.

Answer:

1

Step-by-step explanation:

r(t) = (cos t, t³)

Take first derivative to find velocity:

v(t) = dr/dt

v(t) = (-sin t, 3t²)

Take derivative again to find acceleration:

a(t) = dv/dt

a(t) = (-cos t, 6t)

At t=0, the acceleration's magnitude is:

a(0) = (-1, 0)

|a(0)| = √((-1)² + 0²)

|a(0)| = 1