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liq [111]
3 years ago
13

The graph shows the solution for which inequalities?

Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

Inequalities are,

y ≥ 4x + 2

y ≥ 2

Step-by-step explanation:

Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).

Let the equation of this line is,

y = mx + b

Slope of the line = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

                      m = \frac{2+2}{1-0}

                      m = 4

Y-intercept 'b' = -2

Equation of the line will be,

y = 4x - 2

Since shaded area is on the left side of this solid line so the inequality representing this region will be,

y ≥ 4x - 2

Another line is a solid blue line parallel to the x-axis.

Shaded region (blue) above the line will be represented by,

y ≥ 2

Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.

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6. Complete la tabla con el número 4.956: Dígito Valor posicional Notación estándar Notación en potencia De esta forma el número
Rzqust [24]

Answer:

6. Miles  {}     cientos       decenas      unidades

  4   {}              9                5               6

7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Step-by-step explanation:

6. Los valores posicionales de dígitos son;

Miles  {}     cientos       decenas      unidades

4   {}              9                5                   6

 

7. El número de cuadrados que tiene Fernando = 12

El número de cuadrados que tiene Catalina = 16

El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;

largo × ancho = Área del cuadrado

largo = ancho = lado del cuadrado

Lado del cuadrado × Lado del cuadrado = Área del cuadrado

(Lado del cuadrado) ² = Área del cuadrado

Lado del cuadrado = √ (Área del cuadrado)

Para Fernando, Área del cuadrado = 12

Lado del cuadrado para Fernando = √12 = 2 · √3 cartones

Para Catalina, Área del cuadrado = 16

Lado del cuadrado para Catalina = √16 = 4 cartones

Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

8 0
3 years ago
Tools
tresset_1 [31]

Answer:

$81.55

Step-by-step explanation:

$15+15%=15x1.15=$17.25

$23+10%=23x1.1=$27.50

$32+15%=32x1.15=$36.80

Total=$81.55

(Time to find a cheaper shop)

4 0
3 years ago
Consider the following figure where l1 and l2 are parallel and cut by transversals g1
vampirchik [111]

Answer:

helppppp

Step-by-step explanation:

3 0
3 years ago
Determine side x. Round to the nearest unit. 20 9 12 5
tatyana61 [14]

Answer:

12

Step-by-step explanation:

First, you will have to use trigonometry. Since the side of the triangleis the opposite of the angle 53 and the hypotenuse, you will use sin.

Sin 53 degrees = opposite side / hypotenuse side.

The opposite side is x and the hypotenuse side equals 15.

sin53= x/15

15 ( sin 53 ) =x

x= 11.97953

Round

x=12

6 0
3 years ago
9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of
IceJOKER [234]

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

<h3>What is compound interest?</h3>

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

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

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

Learn more about Compound Interest:

brainly.com/question/25857212

#SPJ1

5 0
2 years ago
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