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2 years ago

Which value satisfies the inequality 5x + 7 ≤ 8x - 3 + 2x?

Mathematics

1 answer:

QveST [7]2 years ago

8 0

Answer:

D) 2

Step-by-step explanation:

5x + 7 $\leq$ 8x -3 +2x

5x + 7 $\leq$ 10x - 3

7 + 3 $\leq$ 10x - 5x

10 $\leq$ 5x

2 $\leq$ x

x $\geq$ 2

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Can someone help and explain it to me pls?

Elza [17]

Answer:

Option C, 0 ≤ x ≤ 12

Step-by-step explanation:

the domain of a function is the set of inputs accepted by the function so all possible x values.

Since x-axis is time, time can never be negative

so the lowest x value is 0

the heights x values is the x intercept which is 12

hence option C

Ley me know if you have any questions!!!

5 0

1 year ago

Read 2 more answers

An ecologist studies the fox population of the arctic circle, and observes that the population loses 1/11 of its size every 7 mo

Ksju [112]

Answer: The fox population decrease 1.298% every month.

Step-by-step explanation:

Since we have given that

Initial foxes = 170000

Every 7 months, the population loses $\dfrac{1}{11}$

So, we need to find the rate of change in population every month.

So, we will use "Unitary method":

So, In every month, the population loses $\dfrac{1}{11}\times \dfrac{1}{7}=\dfrac{1}{77}$

So, the percentage would be

$\dfrac{1}{77}\times 100=1.298\%$

Hence, the fox population decrease 1.298% every month.

5 0

3 years ago

Find the first four terms of the sequence represented by the expression.

Elodia [21]

Given:
3n + 5

n = 1 ; 3(1) + 5 = 3 + 5 = 8
n = 2 ; 3(2) + 5 = 6 + 5 = 11
n = 3 ; 3(3) + 5 = 9 + 5 = 14
n = 4 ; 3(4) + 5 = 12 + 5 = 17

The first four terms of the sequence are: 8, 11, 14, 17. Second option.

3 0

3 years ago

Read 2 more answers

laura quiere cubrir con papel china una puesta como la que se muestran el dibujo cuánto centímetros cuadrados tendrá que cubrir

TEA [102]

Answer:

El área a cubrir es de 4800 cm^2.

Step-by-step explanation:

<em>La pregunta está incompleta:</em>

<em>Laura quiere cubrir con papel de china una puerta como la que se muestra en el dibujo cuánto es centímetros cuadrados. Las medidas son 80 cm de largo y 60 cm de ancho.</em>

Tenemos que calcular el área que representa la puerta, cuyos lados son 80 cm y 60 cm.

El área A se calcula multiplicando ambos lados:

$A=80\,cm\cdot60\,cm=4800\,cm^2$

7 0

3 years ago

if $4000 is invested in an account that pays interest compounded continuously, how long will it take to grow to $8000 at 7%?

Archy [21]

So, since it is continuously, we need to think of PERT

$A=P\times e^{rt}$

So, we just plug our numbers in to solve for T

$8000=4000e^{.07t}\\\ln(8000)=\ln(4000e^{.07t})\\\ln(8000) = \ln(4000) + \ln(e^{.07t})\\\ln(8000)=\ln(4000)+.07t\ln(e)\\\ln(8000)=\ln(4000)+.07t\\\frac{\ln(8000)}{\ln(4000)}=.07t\\\frac{\ln(8000)}{.07\ln(4000)}=t\\ 15.479=t$

It will take 15.479 years

7 0

3 years ago