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3 years ago

Given the Function P(x)=(x+3)^2+2 write the new function after a translation of 2 units up

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

Answer:

Q(x)=(x+3)^2+4

Step-by-step explanation:

The new function, Q(x), would be Q(x)=(x+3)^2+4.

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What is the solution for the equation StartFraction 5 Over 3 b cubed minus 2 b squared minus 5 EndFraction = StartFraction 2 Ove

wolverine [178]

Answer:

The solutions are:

$b=0,\:b=4$

Step-by-step explanation:

Considering the expression

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

Solving the expression

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

$\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$5\left(b^3-2\right)=\left(3b^3-2b^2-5\right)\cdot \:2$

$5b^3-10=6b^3-4b^2-10$

$\mathrm{Switch\:sides}$

$6b^3-4b^2-10=5b^3-10$

$6b^3-4b^2-10+10=5b^3-10+10$

$6b^3-4b^2=5b^3$

$\mathrm{Subtract\:}5b^3\mathrm{\:from\:both\:sides}$

$6b^3-4b^2-5b^3=5b^3-5b^3$

$b^3-4b^2=0$

$Using\:the\:Zero\:Factor\:Principle:$ $if\:\mathrm ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

So,

$b=0,b-4=0$

$b=0,b=4$

Therefore, the solutions are:

$b=0,\:b=4$

4 0

3 years ago

Read 2 more answers

Johnny rode his bike to a friends house 4 blocks down the street in his neighborhood. He Immediately rode back home once he real

Aneli [31]

Answer:

Total displacement = 0 blocks

Step-by-step explanation:

Displacement : It is defined as the total distance between the initial and the final positions of the moving object or a body. The total displacement can be 0 in case the initial and the final positions of the body are same.

The distance traveled by Johnny from his house to his friends house = 4 blocks

Then he immediately returns to his house, so the total distance then covered = 4 blocks

Total distance traveled = 4 + 4

= 8 blocks

But the initial position of Johnny is his house and the final position of Johnny is also his house

Therefore, the initial and the final position of Johnny is same and this can be used as a reference point for the given problem.

⇒ Total displacement = 0 blocks

7 0

2 years ago

I need help with number 17

zimovet [89]

Answer:

3 planes parallel to FL is EK, CI , BH, AJ

Because, this is prism in which all length segments should be equal .

7 0

2 years ago

the length of a rectangle exceeds its width by 17 inches, and the area is 18 square inches. what are the length and width of the

dimaraw [331]

The length and width of the rectangle are 18 in and 1 in, respectively.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle can be found for the formula : b*h, where b = base and h =height.

For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus, from the value of area given, you can find the values of the length and width of the rectangle.

A=b*h

18=(W+17)*W

18=W²+17W

W²+17W-18=0

Solving this quadratic equation, you have:

$w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}$