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The solution to the equation are (2, 9) and (-1, 0)

Given the functions as shown below:

Equating both equations will give;

–x^2 + 4x + 5 = x^2 + 2x + 1

Collect the like terms to have:

–x^2 + 4x + 5 –x^2 - 2x - 1 = 0

-2x^2 + 2x + 4= 0\

2x^2 - 2x - 4  = 0

x^2 - x - 2 =0

Factorize to have:

x^2 - x - 2 =0

x^2 - 2x + x - 2 = 0

x(x-2)+1(x-2) = 0

x = 2 and -1

If x = 2

y = 2^2 + 2(2) + 1

y = 9

If x  = -1

y = (-1)^2 + 2(-1) + 1

y = 1 - 2 + 1

y = 0

Hence the solution to the equation are (2, 9) and (-1, 0)

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Answer:

Can you help me with this question please!! (D)

Answer:

C

Step-by-step explanation:

the quadratic formula is

[tex] \frac{ - b + \sqrt{b ^{2} - 4ac} }{2a} [/tex]

Make the quadratic equal to 0, so it will be 3x^2 + 8x -2=0. Then substitute the values into the equation.

Answer: C) 3x^2+8x-10=-8

Step-by-step explanation:

3x^2+8x-10x=-8

3x^2+8x-2=0

a=3 b=8 c=-2

Plug it into quadratic formula.

Answer:

x² - 4x + 4  

Step-by-step explanation:

(x -2)(x - 2)                

x² - 2x - 2x + 4          Expand using FOIL.

x² - 4x + 4                 Simplify.

Answer:

domain: [0, ∞)

range: (-∞, 0]

Step-by-step explanation:

the domain is all the possible x-values, which is all the numbers from 0 to infinity.

the range is all the possible y-values, which is all the numbers from negative infinity to 0.

Answer:

1

Step-by-step explanation:

What you can do is do [tex]3x-4=-x[/tex]

-4=-4x

x=1

CHECK:

[tex]3-4=-1[/tex]

[tex]-1=-1[/tex]

[tex] \frac{1}{2} [/tex]

Answer:

the correct answere is 1:2

Step-by-step explanation:

my sister is working on the same thing and I helped her and she got it right.

Answer:

D

Step-by-step explanation:

Process of Elimination:

A: 3.976 is greater than 3.97

B: 1.025 is lesser than 1.25

C: 9.145 is greater than 9.14

All of the options checked are true, leaving the answer only to be D.

Step-by-step explanation:

cars : trucks = 3 : 5

there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.

these 8 parts (or the whole) are in total 360.

therefore, 1 part = 360/8 = 45

cars get 3 parts of the whole parking lot, that is

45 × 3 = 135 cars

trucks get 5 parts of the whole parking lot, that is

45 × 5 = 225 trucks

=========================================================

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

Answer:

x > 14 ; x < 12

Step-by-step explanation:

Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x-6+10>50, so x > 14

Area < 138, so that means 3*(4x-2) < 138, so x < 12

Answer:

X = 2/5

y = 1

Is this what your looking for?

Step-by-step explanation:

Answer: -8x^2 -2x+13

Step-by-step explanation:

group liked terms

-6x^2-2x^2-2x+5+8

Add numbers 5+8=13

-6^2-2x^2-2x+13

add similiar elements -6x^2-2x^2=-8x^2

-8x^2 -2x+13

Answer:

D. The limiting value of the city population is 187,600 people.

Step-by-step explanation:

I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021

Answer:

surface area=1/2perimeterofbase+slantheight+b(base)

Step-by-step explanation:

1/2(40)=20(8)=160+100=260D

Answer:

is 10+10+8+8+8+8

Step-by-step explanation:

just trial. not sure

Answer:

Step-by-step explanation:

(4+3i)(12-2i)

48 - 8i + 36i - 6i^2

48 + 28i +6

54 + 28i

Answer:

Step-by-step explanation:

The amount that William would save by paying cash instead of credit card is $1

This refers to the amount deducted from the value of a certain commodity so that there would be a reduced price for the good.

Hence, given that there is a discount of $0.05 per gallon if you pay with cash

William fills 20 gallons of gas

The amount saved by paying cash by William would be 0.05 * 20 = $1

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Half of 72 is 36. If you divided 36 by 4, you would get 9. So, s = 9 and means that it takes 9 seconds for the rock to be sunk half way.

Answer:

Table B

Step-by-step explanation:

In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.

Answer:

B. (-4-2)

Step-by-step explanation:

since the numerator is one you can divide -8 by the denominator of each fraction. -8/2 = -4, -8/4 = -2

(-4-2)

You have to make sure you distribute the -8 to all parts inside the parenthesis for it to be right.

i hope this helps :)

Answer:

Petra would need to save for 12 weeks to get 126

126+34.75=160.75

Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.

Here, So far and plans to save an additional $10.50 each week.

Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x

So, We can formulate;

⇒ 10.50x + 34.75 = 160.75

Solve for x;

⇒ 10.50x = 160.75 - 34.75

⇒ 10.50x = 126

⇒ x = 126/10.50

⇒ x = 12

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Answer:

Subtraction property is the answer

Step-by-step explanation:

Mark brainliest please!

Answer:

b= -1/5

Step-by-step explanation:

Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:

1/5+b=0

b+1-1/5=0-1/5

b+0/5= 0 -1/5

b=0 -1/5

and you have b= -1/5 as your answer

Answer:

4.603/Lb

Step-by-step explanation:

$55.23 / 12 = 4.603/Lb

Answer:

14x+4

Step-by-step explanation:

5x+5x+2x+2x+3+3-1-1

5x+5x+2x+2x=14x

3+3-1-1=4

14x+4

Answer:

4

Step-by-step explanation: