This is Adele's solution for the equation x^2 + 8x - 9 = 0 Step 1 x^2 + 8x - 9 = 0 Step 2 x^2 + 8x = 9 Step 3 ( x + 4 )^2 = 25 Step 4 x + 4 = 25 or x + 4 = - 25 Step 5 x = 21 or x = - 29. Where did Adele make her mistake. Show all of your work. ​

Answer:

8

Step-by-step explanation:

Thrice means the same as 3, so 3 × 8 = 24 and when 9 is subtracted from 24 it is equal to 15

Answer:

Step-by-step explanation:

let the number be x

3x-9=15

3x=15+9     add 9 from both sides

3x=24

x=8

Answer:

Here is what i got x^2+6x^5+15x^4+6x+1

Step-by-step explanation:

^ that mark is for exponents btw. For anyone that is new to this

The Binomial Expansion of  [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].

An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.

Given:

We have to expand [tex](x+ 1)^6[/tex]

We know the general form of Binomial Expansion

(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]

Here n= 6

So, the expansion of [tex](x+ 1)^6[/tex] is

= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +  

   C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]

= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]

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Step-by-step explanation:

[tex] {f}^{ - 1} (x) = x \: value[/tex]

[tex]f(x) = \sqrt[4]{x} + 6 \\ [/tex]

[tex]x - 6 = \sqrt[4]{x} [/tex]

[tex] {(x - 6)}^{4} = x[/tex]

[tex] {f}^{ - 1}(x) = {(x - 6)}^{4} [/tex]

Answer:

x= 54°

Step-by-step explanation:

43 + x - 7 = 90°

36 + x = 90°

x= 90-36

x= 54°

Answer:

54

Step-by-step explanation:

90-43 = 47

x-7 = 47

x=47+7

x = 54

Answer:

11 cows and 6 ducks

Step-by-step explanation:

Answer:

B) 103.25

Step-by-step explanation:

Area of rectangle:

A = bh

A = (16)(4)

A = 64

Area of a semi-circle:

r = d/2 = 5

A = (πr²)/2

A = (3.14 * 5²)/2

A = (3.14 * 25)/2

A = (78.5)/2

A = 39.25

Combined:

64 + 39.25 = 103.25

Answer: 103.25

Step-by-step explanation:

area of the rectangle is 4*16= 64

The area of the complete circle is [tex]\pi r^{2}[/tex]

r=d/2

r=10/2

r=5

[tex]25\pi[/tex] is the area of the full circle

[tex]\frac{25\pi }{2}[/tex] is the area of the semi- circle

area of the figure

[tex]64+\frac{25\pi }{2}[/tex]=103.27

Answer:

x=-11

Step-by-step explanation:

not entirely sure what it means by DBJ, but lets see..

i believe the answer is x=-11.

please resend the problem fixed

Answer:

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

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]

Step 2: Compute

Answer:

Correct option is

D

(0, 0)

Form the graph, we can see that solution is (0,0).

or

The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.

From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).

Answer:

Step-by-step explanation:

At the point of intersection, x+3 = 3x-3

6=2x

x = 3

y = x+3 = 6

Answer:

279.2 squared inches

Step-by-step explanation:

first find the base of the triangular prism which is  18*5=90.

then multiply 18*4.7 to get 84.6 then multiply that by 2 to get 169.2

then find the area of the triangles which is 4*5= 20 then add it all up which is equal to 279.2 ( 90 + 20) + 169.2= 279.2

Hope this was helpful :)

Answer:

AAS

Step-by-step explanation:

because here it is given that two angle are

equal

and a side is common between both traingle

so, both traingle are congruent by

AAS

hope it helps

Answer:

[tex] \frac{11}{12} [/tex]

Can I be brainliest pls

Answer:

You have a higher chance of getting an even number than a multiple of three. There are 3 even numbers and only 2 multiples of three.

Based on the arithmetic sequence, the sum of the first 19 terms is 532.

1, 4, 7, 10, 13, 16...

Sn = n/2{2a + (n - 1)d}

= 19/2{2×1 + (19 - 1)3}

= 9.5{2 + (18)3}

= 9.5(2 + 54)

= 9.5(56)

Sn = 532

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Answer:

The answer is D. 380!!!!!

Given:

The piece-wise function is:

[tex]F(x)=\begin{cases}4&\text{ if }0\leq x<2\\3&\text{ if }2\leq x<4\\2&\text{ if }4\leq x<6\end{cases}[/tex]

To find:

The domain of the given function.

Solution:

Domain of the a function is the set of those values for which the function is defined. In other words, the set of input values is called domain.

The given function is defined for the intervals [tex]0\leq x<2,2\leq x<4,4\leq <6[/tex]. So, the domain of the given function is

[tex]Domain=\{x|0\leq x<2,2\leq x<4,4\leq <6\}[/tex]

Therefore, the correct option is B.

Answer:

Step-by-step explanation:

The zeros are the values of x for which y = 0. Those are the points where the graph crosses the x-axis.

The graph passes through (0,0), so x=0 is one of the zeros.

The graph passes through the third tick to the right—note it is x=6, not x=3!

x=6 is the other zero.

Answer:

Cost of 1 kg apple = a = RS 102 (Approx.)

Cost of 1 kg orange = b = RS 61 (Approx.)

Step-by-step explanation:

Assume;

Cost of 1 kg apple = a

Cost of 1 kg orange = b

So,

2a + 6b = 570 ....... Eq1

and

3a = 5b..........Eq2

From eq 2

3a = 5b

a = 5b / 3

So,

2a + 6b = 570

2(5b/3) + 6b = 570

b = 61.07

Cost of 1 kg orange = b = RS 61 (Approx.)

a = 5b / 3

a = 5(61) / 3

Cost of 1 kg apple = a = RS 102 (Approx.)

Answer:

X = 2/3

Hope this helps :D

Answer:

Step-by-step explanation:

975/13=75

75 calories per brownie

Answer:

90 dollars

Step-by-step explanation:

I did maths hghbhhbghfggghggfgy

Answer:

2 product of x & adding it from 3 is equals to 5 ..

Answer:

(0,-3) and (6,0)

Step-by-step explanation:

Now you use two point form to make equation

Y2-Y1/Y-Y1=X2-X1/X-X1

here Y2=0 ,Y1=-3

X2=6 and X1=0  now put in equation to get answer

Answer:

The Z score for $37,000 is 8.49.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean family income is $34,000, with a standard deviation (for the population) of $5,000.

This means that [tex]\mu = 34000, \sigma = 5000[/tex]

Subsample of 200 city residents.

This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]

What is the Z score for $37,000 ?

This is Z when X = 37000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{37000 - 34000}{353.55}[/tex]

[tex]Z = 8.49[/tex]

The Z score for $37,000 is 8.49.

Answer:

Step-by-step explanation:

Simple interest is

I=Prt

I=11500(0.10)(60/360)

I=$191.67

Complete Question:

Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.

Find the cost of the material for the frame is x = 16.

Answer:

The material cost of the frame is: $17.15

Step-by-step explanation:

Given

[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting

[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting

[tex]Cost = \$0.07[/tex] per square inch

Required

The cost of material of the frame

First, we calculate the area of the frame only

This is the difference between the areas of the frame and painting and the area of the painting

[tex]Area = (L_2)^2 - (L_1)^2[/tex]

[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]

Substitute 16 for x

[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]

[tex]Area = (27)^2 - (22)^2[/tex]

[tex]Area = 245\ in^2[/tex]

The cost of the painting is:

[tex]Total\ Cost = Unit\ Cost * Area[/tex]

[tex]Total\ Cost = \$0.07 * 245[/tex]

[tex]Total\ Cost = \$17.15[/tex]

Hence, the material cost of the frame is: $17.15

Answer:

greater than 1

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Step-by-step explanation:

prime numbers are numbers that have exactly two factors . 1 and the number itself.

Answer:

The percentage error is 8%

Step-by-step explanation:

Given

[tex]r = 10cm[/tex]

[tex]\triangle r =0.1cm[/tex]

Required

% error in the surface area

The surface area of a sphere is:

[tex]S = \4\pi r^2[/tex]

Differentiate

[tex]dS \approx 8\pi r\ dr[/tex]

Rewrite as:

[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error

The percentage error is then calculated as:

[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]

[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]

[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]

[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]

[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]

[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]

[tex]\% Error = 0.08 * 100\%[/tex]

[tex]\% Error = 8\%[/tex]