Solve the following system. y = 2x2 - 3x - 4 and y + x = 8. Enter the solution with the smaller x value first. The solutions are ( , ) and ( , )

Answer:

5/12

Step-by-step explanation:

No. of times coin landed head up / Total no. of flips

= 125 / 300

= 25*5 / 25*12

= 5 / 12

Answer:

El volumen del prisma triangular es 110 centímetros cúbicos.

Step-by-step explanation:

El volumen del prisma ([tex]V[/tex]), en centímetros cúbicos, es igual al producto del área superficial del triángulo ([tex]A[/tex]), en centímetros cuadrados, y la profundidad del prisma ([tex]z[/tex]), en centímetros:

[tex]V = A\cdot z[/tex]

[tex]V = \frac{1}{2}\cdot b\cdot h\cdot z[/tex] (1)

Donde:

[tex]b[/tex] - Base del triángulo, en centímetros.

[tex]h[/tex] - Altura del triángulo, en centímetros.

Si sabemos que [tex]b = 4\,cm[/tex], [tex]h = 5.5\,cm[/tex] y [tex]z = 10\,cm[/tex], entonces el volumen del prisma triangular es:

[tex]V = \frac{1}{2}\cdot (4\,cm)\cdot (5.5\,cm)\cdot (10\,cm)[/tex]

[tex]V = 110\,cm^{3}[/tex]

El volumen del prisma triangular es 110 centímetros cúbicos.

Yesterday was your birthday. (May 29)

Answer: 48

Step-by-step explanation:

Give The Rest of the question

Answer:

Reflection about x axis

r(1,2)-----------r'(1,-2)

, s(3,3) ..........s'(3,-3)

and t(-3,4).....t'(-3,-4)

Answer:

571

Step-by-step explanation:

We solve using z score.

z = (x-μ)/σ, where

x is the raw score = ?

μ is the population mean = 480

σ is the population standard deviation = 70

z = 1.3

Hence,

= 1.3 = x - 480/70

Cross Mulitiply

1.3 × 70 = x - 480

91 = x - 480

x = 480 + 91

x = 571

Therefore, Marulla's raw score is 571

Answer:

the period is the to top points of the highest points on top of the crests

The period of function is,

P = 5

Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.

Here, Graph of function is shown.

Hence, The period of function is,

P = 10/2

P = 5

Because there is two wave are shown.

Therefore, The period of function is,

P = 5

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Answer:

y = 3x² - 15x + 18

Step-by-step explanation:

y = 3(x - 3)(x - 2) ← expand factors using FOIL

   = 3(x² - 5x + 6) ← distribute parenthesis by 3

y = 3x² - 15x + 18 ← in standard form

ANSWER

SEE EXPLANATION

Step-by-step explanation:

3(x²-2x-3x+6)

3(x²-5x+6)

3x²-15x+18

mean: 5.5 hours

range: 7.9 hours

Answer:

I

Step-by-step explanation:

We have to added up the like therms

like therms are therms with the same literal parts

3a - 7a = -4a

6b-3b= 3b

-4a + 3b+ 9c

Answer:

A

Step-by-step explanation:

Concept :-

On converting :-

[tex]\bf\implies y + 5 =\dfrac{1}{3}(x-9)\\\\\bf\implies y + 5 =\dfrac{1}{3}x - 3 \\\\\bf\implies y = \dfrac{1}{3}x - 3 - 5 \\\\\bf\implies\boxed{\red{y = \dfrac{1}{3}x -8 }}[/tex]

Answer:

G

Step-by-step explanation:

In math whenever you have the word "of" it means multiply, so 66% of the total number of people who took the survey( which is 165) is 66/100 multiplied by 165.

[tex]\frac{66}{100} *165= 108.9[/tex] which rounds up to 109

Set the polynomial equal to y y to find the properties of the parabola. y=2x2+10x+11 y = 2 x 2 + 10 x + 11. Rewrite the equation in vertex form. Tap for more steps.

Answer:

RN=5

Step-by-step explanation:

QR is congruent to RN therefore they are the same length

Answer:

a, c, & d

Step-by-step explanation:

-6,1 , 0,5 , 1,7 hope this help

The degrees of rotation that will carry the square onto itself are,

⇒ 90°, 180°, 270°, 360°

Since, A Square is a two dimension figure with 4 sides, 4 corners and 4 right angles. All the sides of the square are equal and parallel to each other.

Given here:

A square is rotated clockwise about center point P.

Now , Since there are have 4 vertices, your starting vertex can land in 4 different starting places and still come up with the same figure.

So if you take 360/4 you get 90 degree rotations to each consecutive vertex.

or more specifically;

= 360/4

= 90

Hence, the square will coincide itself after every integral multiple of 90.

Thus, 90°, 180°, 270°, 360° are the required angles of rotation.

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Answer:

Step-by-step explanation:

Standard equation of an ellipse,

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

(h, k) is the center of the ellipse

Value of a = Distance of the center from the vertex

b = Distance of the center from the covertex

From the picture attached,

a = Distance of the center (h, k) from the vertex (2, -2) = 3 units

b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit

Center of the ellipse (h, k) = (-1, -2)

Answer:

1. make both equal, so...

-14/24 + 9/24

=-5/24

Step-by-step explanation:

Answer:

2.796x10^10

Step-by-step explanation:

4.66x10^8 in one second

1 minute is equal to 60 seconds

Multiply 4.66x10^8 by 60

= 2.796x10^10

Answer: 1/16

Step-by-step explanation:

Answer:

g(-3)= -3^3-7

= -27-7

= -34

Answer:

Nonlinear association

Step-by-step explanation:

Answer:

a) 12/52 = 3/14

b) 26/52 = 1/2

c) 4/52 = 1/13

d) 13/52 = 1/4

e) 8/52 = 2/13

Step-by-step explanation:

a) there are 12 face cards and 52 in the deck

b) half the cards are red, the other half black

c) one queen in each of four suits

d) the deck is broken up into 4 equal suits (hearts, diamonds, spades, clubs) so there are 13 of each.

e) like the answer in part C, there is one of each card in each of the four suits. that gives us four aces and four tens.

Given:

Principal = $1500

Time = 10 year

Amount after interest compounded continuously = $3935.36

To find:

The rate of interest.

Solution:

The formula for amount after continuous compound interest is:

[tex]A=Pe^{rt}[/tex]

Where, P is principal, r is the rate of interest in decimal and t is time in years.

Putting [tex]P=1500,A=3935.36,t=10[/tex] in the above formula, we get

[tex]3935.36=1500e^{r(10)}[/tex]

[tex]\dfrac{3935.36}{1500}=e^{10r}[/tex]

[tex]2.6236=e^{10r}[/tex]

Taking ln on both sides, we get

[tex]\ln(2.6236)=\ln e^{10r}[/tex]

[tex]0.9645=10r[/tex]                   [tex][\because \ln e^x=x][/tex]

Divide both sides by 10.

[tex]\dfrac{0.9645}{10}=r[/tex]

[tex]0.09645=r[/tex]

The rate of interest in percentage is:

[tex]r=100\times 0.09645[/tex]

[tex]r=9.645\%[/tex]

Therefore, the required rate of interest is 9.645%.

Step-by-step explanation:

You need to times it, so 150 x 30, and then whatever it is, thata the answer