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ycow [4]
3 years ago
8

PLEASE HELP MEE!!! MAX POINTS AND BRAINLIEST!!

Mathematics
1 answer:
Maurinko [17]3 years ago
6 0
Question does not specify full graph need more information
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50 POINTS AND WILL MARK BRAINLIEST NEED HELP ASAP
trasher [3.6K]

Answer:

Please see attached image and all steps below for both parts

Step-by-step explanation:

Task 1

The following system of equations includes a linear equation and a quadratic one:

\left \{ {{y=x+2} \atop {y=x^2-8x+2}} \right} \}

it can be solved by using substitution in the second equation of the variable "y" by the linear expression of the first equation:

x+2=x^2-8x+2\\x=x^2-8x\\x^2-9x=0\\x\,(x-9)=0

and this product of two factors will e zero when either factor is zero, that is: when x = 0, or when x = 9 [to make zero the binomial(x - 9)]

There are two solutions: x = 0 and x = 9.

When we graph both expressions in the system, we see that the line intercepts the parabola at the points (0, 2) and (9, 11). See attached image.

Task 2

Part 1:

Let's pick 30 as a number larger than 25. 30 can be written as 40 - 10

So we can use:

(40 -10)^2=40^2-2\,(40)\,(10)+ 10^2=1600-800+100=900

to calculate its square.

Part 2:

let's choose a=9 and b=10 so we use:

9^3+10^3=(9 + 10)\,(9^2-(9)\,(10)+10^2)=(19)\,(81-(90)+100)=19\,(81-180+100)=19\,*\,91=1729

8 0
3 years ago
A bag contains yellow marbles and blue marbles, 73 in total. The number of yellow marbles is 7 more than 5 times the number of b
Roman55 [17]

Answer:

number of yellow marbles=62.

Step-by-step explanation:

It is given that in a bag there are yellow marbles and blue marbles and the total number of marbles=73.

Let the number of Blue marbles=x, then according to the question, number of yellow marbles will be =5x+7.

Now, Total number of marbles= number of yellow marbles+number of blue marbles.

⇒73=x+5x+7

⇒73-7=6x

⇒66=6x

⇒x=11

Therefore, numberof blue marbles=x=11 and

number of yellow marbles=5x+7=5(11)+7=55+7=62.

8 0
3 years ago
Help solve this equation
Lemur [1.5K]

Answer:

x=1

You solve for x by cross multyplying

6 0
3 years ago
Read 2 more answers
Sin(2x+30°)=1 <br> Tìm x <br> Cảm ơn vì giúp đỡ
Pie

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

sin^{-1}[sin(2x+30)]=sin^{-1}(1)

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!

4 0
3 years ago
Assume the triangular prism has a base area of 49 cm^2 and a volume of 588 cm^3. Which base side length does the rectangular pri
andre [41]

Answer:

Length = Width = 7 cm

Step-by-step explanation:

8 0
3 years ago
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