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2 years ago

Please answer it correctly.

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

7 0

Hi! So for quadratics, anything that is inside the parentheses with x is considered a shift left or right. Since it is a negative 7, the graph is shifted 7 units to the right to make up for the y values.

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The product of 5 and m squared,increased by the sum of the square of m and 5

Harrizon [31]

The product (multiplication) of 5 and m squared (²) increased (addition) by the sum (addition) of the square (²) of m and 5.

(5m²) + (m² + 5)

5 0

2 years ago

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What is the sum of the first 20 terms of the arithmetic sequence shown? \displaystyle \frac{1}{3} 3 1 , \displaystyle \frac{2}

Murrr4er [49]

Answer:

Step-by-step explanation:

$a_1$ = First term = $\dfrac{1}{3}$

$d$ = Common difference = $\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}$

$n$ = Number of terms = 20

Sum of arithmetic progression is given by

$S=\dfrac{n}{2}[2a_1+(n-1)d]\\\Rightarrow S=\dfrac{20}{2}\times (2\times \dfrac{1}{3}+(20-1)\dfrac{1}{3})\\\Rightarrow S=70$

The sum of the first 20 terms of the arithmetic sequence is 70.

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2 years ago

Solve for x:−2(x+9)=−1(x+−1)+2

Stella [2.4K]

Answer:

Step-by-step explanation:

expanding the bracket, we would have

-2x -18 = -x+1+2

-2x+x= 3 +18

-x=21

x=-21

6 0

3 years ago

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A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

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2 years ago

Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.

Pachacha [2.7K]

Answer:

£216

Step-by-step explanation:

Cost = £6 per person
Teacher earns = 90% of total

Total number of people:

13 + 11 + 16 = £40

Total payment:

40*6= £240

Teacher earns in total per given week:

240*90/100 = £216

7 0

3 years ago