Solve the equation: (a + 2)^4- 20(a + 2)^2+ 64 = 0

Answer:

the answer to your problem is c

Answer:

Did you copy C correctly?  

If not, then C should equal 8x^2 - 16

Step-by-step explanation:

Simplify  7x^2 - 4^2 + x^2

I hope this helps!

Answer:

x=45

Step-by-step explanation:

Then,

x/5(15)-47=28

Step 1: Simplify the equation on both sides

x/9(15)-47=28

5/3x-47=28

Step 2: Add 47 to both sides

5/3x-47+47=28+47

5/3x=75

Step 3: Multiply both sides by 3/5

(3/5)*(5/3x)=(3/5)*(75)

x=45

Answer:

500

Step-by-step explanation:

Since the 5 is in the hundreds place in the number 2500.7, its value is 5 * 100 = 500.

Answer:

hundreds

Step-by-step explanation:

Answer:

AB = 23 , BC = 13

Step-by-step explanation:

Isosceles mean two side angle is equal to each other.

AB and AC are the same. So we can solve for x.

[tex]AB=AC\\5x-7=23\\5x=30\\x=6\\\\AB = 5x-7\\AB = 5*6-7\\AB=30-7\\AB = 23\\\\BC = 3x-5\\BC = 3*6-5 = 18 - 5 = 13\\BC = 13[/tex]

Answer:

Step-by-step explanation:

Because they tell us it's an isosceles triangle we know two sides are the same length.  since AB and AC look like they are similar we can assume that those sides are the exact same length.    Since we know , now, that AB and AC are equal in length,  set them equal

AB = AC

now plug in given info

5x-7 = 23

nice,  now use your super hero algebra skillz to solve for X.  My calculus prof.  always says that students are bad at algebra, i'll help you do the algebra.

5x-7=23  ( add 7 to both sides)

5x=23+7  (add 7 to 23 )

5x=30      (divide both sides by 5 )

x=6

yay,  we have X now.

we know AB =23 , because of the isosceles triangle thing.

BC = 3x-5

plug in for X :)

3*6-5=BC

18-5=BC

13=BC

Yay,  all the answers, and way to get the answers are above :P

Answer:

[tex]a=[/tex] ±[tex]5[/tex]

Step-by-step explanation:

[tex]a^{2} =25[/tex]

equal to zero

[tex]a^{2} -25=0[/tex]

factor: difference of squares

[tex](a+5)(a-5)=0[/tex]

first factor:

[tex]a+5=0\\a_{1} =-5[/tex]

second factor:

[tex]a-5=0\\a_{2} =5[/tex]

Hope this helps

Answer:

16

Step-by-step explanation:

4 divided by 1/4 =

4/.25

16

Answer:

7.6pie

Step-by-step explanation:

120°/360°=X/11.4×2 pie

1/3×22.8 pie =X

X= 7.6 pie

Answer:

$41.96

Step-by-step explanation:

30% of 59.95 is 17.99 (rounding to the nearest hundredth place since it was 17.985)

subtract 17.99 since it is the sale (30%)

59.95 - 17.99 = 41.96

the cd is worth $41.96 on sale for 30% off.

Answer:
To find how much money Chase will get in a certain amount of years, set up the following equation:

(7440.93*0.0123)*x = y

Plug in x. "x" stands for how many years Chase keeps the money in his account while earning interest.

Keep "y" unknown, as that stands for what you are trying to solve for, which is how much interest money Chase will make.

Answer:

1/8

Step-by-step explanation:

The lowest common multiple of 4 and 8 is 8.

1/4 = 2/8

3/8 - 1/4 = 3/8 - 2/8 = (3 - 2)/8 = 1/8

1/8 cannot be simplified further.

Answer:

• no

• no

• no

• yes

Step-by-step explanation:

Let's start by solving the inequality.

-8 +5w >32

5w> 32 +8

5w> 40

Divide both sides by 5:

w> 8

This means that the value of w should be greater than 8.

Since w is not ≥8, the value of w does not include 8. -6 and -5 are smaller than 8 and are thus not the value of w either.

9, being greater than 8, is a solution to the inequality.

Answer:

slope= 0.2; intercept=-1; slope-interception form: y=0.2x-1.

Step-by-step explanation:

1) if to re-write the given equation, then

[tex]y=\frac{1}{5}x-1;[/tex]

or y=0.2x-1;

this equation is slope-interception form;

2) according to the new view of the equation,

the required slope is 1/5;

the required y-intercept is -1.

Answer:

$2.48

Step-by-step explanation:

29.75/12 =2.479

Step-by-step explanation:

let the number of questions solved by Andy=x

this implies that 6+x=10

making x the subject of the equation

x=10-6

x=4

therefore Andy solved 4 questions

Answer:

Correct option is B)

252=

2×2

​

×

3×3

​

×7

The prime factor 7 does not appear in pairs. To make 252 a perfect square we need one more 7.

Hence, the smallest number  by which 252 must be multiplied so that

the product is a perfect square is 7.

And, 252×7=

2×2

​

×

3×3

​

×

7×7

​

252×7

​

=

2×2

​

×

3×3

​

×

7×7

​

​

=2×3×7=42

Step-by-step explanation:

To find the smallest whole number by which 2268 should be multiplied to get a perfect square, we need to factorize 2268 into its prime factors. Then, we can determine which prime factors are needed to make the number a perfect square.

The prime factorization of 2268 is:

2268 = 2^2 * 3^2 * 7 * 9

To make it a perfect square, we need to include the missing factors. In this case, we are missing a factor of 2 and a factor of 3. Therefore, we need to multiply 2268 by 2 * 3 = 6.

2268 * 6 = 13608

Now, we have a perfect square number, 13608.

To find the square root of 13608, we can take the square root of each of its prime factors:

√(2^2 * 3^2 * 7 * 9)

= √2^2 * √3^2 * √7 * √9

= 2 * 3 * √7 * 3

= 6 * √7

So, the square root of the square number 13608 is 6√7.

Domain: All possible x-values

Starting at the left side, the smallest value of the domain is -12. There is a break at x = -6, but there is still a closed circle, which means that there IS a value for -6. The same occurs at x = 6. The largest x-value of this graph is 10.

Therefore, the domain is -12 <= x <= 10

Hope this helps!

Answer:

  209.25 ft²

Step-by-step explanation:

The area of the composite figure is the sum of the areas of its parts. Those parts are a triangle, rectangle, and semicircle.

__

The area formula is ...

  A = 1/2bh

  A = 1/2(6 ft)(10 ft) = 30 ft²

The area formula is ...

  A = bh

  A = (14 ft)(10 ft) = 140 ft²

The area formula is ...

  A = 1/2πr² . . . . where radius r is half the diameter

  A = 1/2(3.14)(5 ft)² = 39.25 ft²

The sum of the areas of the parts is ...

  total area = (30 +140 +39.25) ft² = 209.25 ft²

The expected outcomes less than 4 is the average of the outcomes

We would expect to get a number less than four out of 200 trials 100 times

The sample space of a number cube is:

S = {1,2,3,4,5,6}

There are 3 outcomes less than 4.

So, the probability of obtaining a number less than 4 is:

p = 3/6

This gives

p = 0.5

In a roll of 200, the expected outcomes less than 4 is:

E(x) = 0.5 * 200

This gives

E(x) = 100

Hence, we would expect to get a number less than four out of 200 trials 100 times

Read more about expected values at:

https://brainly.com/question/15858152

Answer:

100

Step-by-step explanation:

Answer:

[tex]\fbox{625 \: dollars }[/tex]

Step-by-step explanation:

Given:

from circular graph,

Savings by Oliver's = 25% of Total budget

Monthly budget = $ 2500

To find:

How much money does Oliver save?

Solution:

From diagram we came to know that,

Oliver's saving is 25% of total monthly budget.

Hence the money he saves each month will be 25% of $2500(Monthly budget)

To calculate the X percent of any given real number multiply the number with X and divide it by 100.

[tex] \sf \hookrightarrow \: 25  \% \: of \: 2500 \\ \sf \hookrightarrow 2500 \times \frac{25}{100} \\ \sf \hookrightarrow 2500 \times \cancel\frac{25}{100}_4 \\ \sf \hookrightarrow \: \frac{2500}{4} \\ \sf \hookrightarrow \cancel{\frac{2500}{4}} \: ^{625} \\ \sf \hookrightarrow \fbox{625 \: dollars }[/tex]

625$ does Oliver saves each month.

Thanks for joining brainly community!

Answer:

8 (none of the above)

Step-by-step explanation:

Given that,

→ x = 3

→ y = -2

Let's solve the equation,

→ 2x - y

→ 2(3) -(-2)

→ 6 + 2

→ 8 is the answer.

Answer:

float

Step-by-step explanation:

density = mass/voume

3g/6c.m. ^3

0.5g/c.m.^3 = 0.5g/mL^3

Since the density of water is about 1g/mL^3 and 0.5g/mL^3 is less than that, it will float

pls view the calculations section of this ans for more details.

[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow{density}\\$\displaystyle\frac{mass}{volume} \\ \end{minipage}}[/tex]

Mass  = 3g

Volume = 6

3/6

1/2 <----- density

hope helpful ~

[tex]~~~~y= \sec^{-1} (14x)\\\\\\\implies \dfrac{dy}{dx} = \dfrac{1}{14x \sqrt{(14x)^2 -1}} \cdot 14\\\\\\\implies \dfrac{dy}{dx}=\dfrac{1}{x\sqrt{196x^2 -1}}\\\\\\\text{At point,}~~ (x_1,y_1) = \left(\dfrac{\sqrt2}{14}, \dfrac{\pi}4} \right), \text{slope of the tangent line,}\\\\\\m = \dfrac{dy}{dx} = \dfrac{1}{\dfrac{\sqrt 2}{14} \sqrt{196 \left(\dfrac{\sqrt 2}{14} \right)^2-1}} \\\\\\~~~~~~~~~~~=\dfrac{14}{\sqrt 2 }\\\\\\~~~~~~~~~~~=\dfrac{7\sqrt 2 \sqrt 2}{\sqrt 2}\\\\\\[/tex]

             [tex]=7\sqrt 2\\\\\\\text{Equation of tangent line,}\\\\\\~~~~~y-y_1 = m(x -x_1)\\\\\\\implies y- \dfrac{\pi}4 = 7\sqrt 2 \left(x - \dfrac{\sqrt 2}{14} \right)\\ \\\\\implies y= 7x\sqrt 2 - 1+ \dfrac{\pi}4[/tex]

Based on the trigonometry ratios and the Pythagorean theorem both of them were incorrect.

Cos A = 4/5; Sin A = 3/5

The Trigonometry ratios relates the length of the sides of a right triangles. They are given as:

If two sides of a right triangle are known the third side can be determined using the Pythagorean theorem, which is given as, c² = a² + b², where and b are legs, and c is the hypotenuse of the right triangle.

1. Given that tan A = 3/4, it is not necessarily true that BC MUST have a length of 3 units, and AC MUST have a length of 4 units, because:

If BC = 9 units and AC = 12 units, the it will give us the same tangent ratio as:

tan A = 9/12 = 3/4.

Therefore, Angelica's mistake is stating that BC MUST be 3 units, and AC MUST be 4 units.

2. Knowing two length of the sides of a right triangle is enough information needed to find the length of the third side using the Pythagorean theorem, so Graceilla is incorrect.

3. Find AC using the Pythagorean theorem:

AB = √(3² + 4²)

AB = 5 units.

Cos A = adj/hyp = AC/AB

Cos A = 4/5

Sin A = opp/hyp = BC/AB

Sin A = 3/5

Learn more about the trigonometry ratios on:

https://brainly.com/question/10417664

Answer:

k=4/3

Step-by-step explanation:

9(k-2)=-6

-expand the bracket

9k-18=-6

-keep "k" on one side

9k=12

-divide both sides by 9 to get k

k=4/3

Answer:

Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola

The vertex of a parabola is the point at the top or bottom of the parabola

Step-by-step explanation:

Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.

#1

Put (2,-5)

Equation

#2

Put (5,9)

Equation

#3

put (-1,14)

Equation

#4

Put (1,-8)

Equation

y=-5/16(x-5)²-3

Answer:

I just need points.

Step-by-step explanation:

Step-by-step explanation:

the answer is in the attachment.

hope this helps you.