Solve for x in the equation

Solve For X In The Equation

Answers

Answer 1

Answer:

x = -1 ± √17

Step-by-step explanation:

x² + 2x + 1 = 17

Subtract 1 form both sides

x² + 2x = 16

complete the square using half the x coefficent, 1) as the complete the square term

(x + 1)² = 16 + 1²

(x + 1)² = 17

Take the square root of both sides

x + 1 = ±√17

Subtract 1 from bot sides

x = -1 ± √17

Answer 2

Answer:

correct one is second option

Step-by-step explanation:

do by applying quadratic formula


Related Questions

Can someone help me? It's urgent and thank you!

Answers

Answer:

15.2%

Step-by-step explanation:

There are 12 marbles in total and there are 5 red marbles, so the probability of getting a red marble is 5/12. There are now 11 marbles and there are 4 blue marbles. So the probability of getting a blue marble is 4/11.

You multiply these 2 values together.

5/12 * 4/11 = 20/132 = 0.1515

This is about 15.2%

Answer:

option b : 15.2 %

Step-by-step explanation:

5 Red , 4 Blue,  3 Yellow

Total balls = 12

[tex]Probability \ of \ choosing \ red = \frac{5C_1}{12C_1} = \frac{5}{12}\\\\Probability \ of \ choosing \ blue \ without \ replacement = \frac{4C_1}{11C_1} = \frac{4}{11}\\\\Probability \ of \ red \ and \ then \ blue = \frac{5}{12} \times \frac{4}{11} = 0.1515\\\\Probability \ in \ percentage = 0.1515 \times 100 = 15.15 = 15.2 \%[/tex]

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Answers

Answer:

Step-by-step explanation:

It 1 2

Please help ASAP!!
I'll mark brainliest!

Answers

Answer:

729 x [tex]\frac{1}{3}[/tex]^x

Step-by-step explanation:

the third option

- trial and error

Simplify

(2m^4)^4*-n^5


this is the last questions but I'm confused

Answers

Answer:

-16m^16 n^5

Step-by-step explanation:

(2m^4)^4*-n^5

= 2^4*m^16*(-n^5)

= 16 m^16 * (-n^5)

= -16m^16 n^5

hopefully this will help

(2m⁴)⁴(-n⁵)-2⁴m¹⁶n⁵-16m¹⁶n⁵

Remember the rule

(a^m)^n=a^mn

Megan is shopping at a store that sells jewelry, scarves, and purses. The cost of all of the items at the store includes tax. Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace?

Answers

Answer: 7$

Step-by-step explanation: 40-4= 36 | 3x5=15 | 36-15=21 | 21/3=7

A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system of equations can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine?
A. t = s - 18
10t = 12s + 32
B. s = t - 18
12s = 10t + 32
C. s = t - 18
10s = 12t + 32
D. t = s - 18
12t = 10s + 32

Answers

Answer:

[tex]\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}[/tex]

Step-by-step explanation:

The each issue of the sports magazine, [tex]s[/tex], has 18 fewer pages than each issue of the technology magazine, [tex]t[/tex], we have equation [tex]s=t-18[/tex]. This eliminates answer choices A and D.

The second equation can be written from the fact that the total number of pages in all the sports magazines, [tex]12s[/tex], is 32 more than the total number of pages in all the technology magazines, [tex]10t[/tex]. Thus, we have equation [tex]12s=10t+32[/tex], eliminating answer choice C and leaving answer choice [tex]\boxed{\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}}[/tex]

Find the range of the given data set. 5/8,3/4,1 1/8,1 1/4

Answers

Range = Difference between the highest & lowest value in a set
3/4 and 1/8
3 x 8 - 1 x 4 = 24 - 4
4 x 8 = 32
24/32
8 goes into each to simplify the fraction
24/8 = 3 & 32/8 = 4
Answer 3/4

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Answers

Answer:

c = 50

Step-by-step explanation:

Using the Pythagorean Theorem:

Plug in the values of a = 14, and b = 48

[tex]a^{2} +b^{2} =c^{2}\\14^{2} +48^{2} =c^{2} \\c^{2} = 2500\\c = \sqrt{2500} \\c = 50[/tex]

Which is the best description for the graph below?

A graph decreases from (0, 3) to (9, 0).

Answers

Answer:

Step-by-step explanation:

As we move from (0, 3) to (9, 0), we see x increasing by 9.  This is the 'run.'

At the same time, we see y decreasing by 3.  This is the 'rise.'

The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3

Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.

does the great pyramid of giza fit the golden ratio? why or why not?

Answers

Step-by-step explanation:

hope it helps thanks

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A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.

Answers

Answer:

C. 24%

Step-by-step explanation:

hope it works

Answer:

39%

Step-by-step explanation:

Suppose that QRS is isosceles with base q r. Suppose also that m q equals (5x - 14(degrees and Mr equals (4x - 2)degree

PLEASE HELP ME

Answers

Answer:

<S= 88degrees

<Q = <R = 46degrees

Step-by-step explanation:

Since the base angles of the isosceles triangle are equal hence;

<Q = <R

5x - 14 = 4x -2

5x - 4x  = -2 +1 4

x = -2 + 14

x = 12

Since <Q = 5x - 14

<Q = 5(12) - 14

<Q = 60 - 14

<Q = 46degrees

Also <Q = <R = 46degrees

Similarly; <S + <Q + <R =180

<S +46 + 46 = 180

<+92 = 180

<S = 180 - 92

<S= 88degrees

What is the measure of Rsl?

Answers

Answer:

x = 13

Step-by-step explanation:

[tex](9x + 27) = (6x + 66) \\ 9x - 6x = 66 - 27 \\ 3x = 39 \\ x = \frac{39}{3} \\ x= 13 [/tex]

Find the area of an equilateral triangle (regular 3 Gon) with the given measurement 9 in perimeter a=SQ.in

Answers

Answer:

3.897 [tex]in^{2}[/tex]

Step-by-step explanation:

equilateral triangles are also equiangular, meaning the have equal angles.

Triangle sum theory says that angles of a triangle add up to 180.

That means each angle is 60.

A = bh/2

You need the (h). The base of is 3.  Perimeter = 9, so each side is 3

Draw a perpendicular line for the height. The line cuts the base in half (1.5)

Using trigonometry you can find the height.

tan 60° = h/1.5

h = height, 1.5 is half of 3, 60° is the base angle.

multiply each side by 1.5

1.5(tan 60°) = h

h=2.598

then substitute h into formula

A= (2.598)(3)

           2

A = 3.897 rounded

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Answers

Answer:

Step-by-step explanation:

given=  -3(2n-3)=25-8n

distributive property=-6n+9=25-8n

subtraction property= 2n+9=25

division property =2n=16

n=8  

Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.
What is the measure of angle S?

48o
56o
93o
101o

Answers

Answer:

C) 93o

Step-by-step explanation:

Trust the process

edge 2021

Answer:

Got a 100% on the Unit Test on Edge and 93 is the correct answer like the person above added! :D

HELP FAST LOL HAHAHAH

Answers

Answer:

184

Step-by-step explanation:

First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.

hted by f(x) = 4
4.0
3
The type of function
represented

Answers

what does this mean??

A rectangle has a length of 2x+7 and a width of 3x+8.

Write and simplify an expression for the perimeter of that rectangle

Answers

Answer:

2(2x+7)=4x+14

2(3x+8)=6x+16

4x+14+6x+16

4x+6x+14+16

The answer is:

10x+30

which following algebraic statements are true

Answers

Answer:

All of them are true.

Step-by-step explanation:

x^2 y - z / x^2 is true. x^2, when divided by itself, cancels itself out, so the equation that is left is y - z.

For the second one, a/c + b/c is true because when you add a + b = it will change; it will be added together. the remaining c will stay the same, as it is the denominator/the same, so you keep it as it is.

For the final one, you distribute ^2 to (a+b), so they become a^2 + b^2.

This means that all of the statements are true.

The vertex form of the equation of a parabola is y = 2(x + 4)2 - 7.
What is the standard form of the equation?

Answers

To obtain the standard form of the equation of the parabola y=2(x+4)^2-7, first perform the indicated operations:
y = 2[x^2 + 8x + 16 - 7], or
y = 2[x^2 + 8x + 9],
or y = 2x^2 + 16x + 18
None of the given possible answers match. The fourth one, D, is closest to the above result, differing only in the constant term (25 versus 18).

Surface area hw help pls

Answers

Answer:

Find the perimeter first then the are

Step-by-step explanation:

Use the function below to find F(3).
F(x) = 4•C**
O A.
H im
O B.
O c.
4
27
O D.
81

Answers

Answer:

4-3

Step-by-step explanation:

solve for x

Value of function f(x) = 4(1/3)ˣ when x = 3, f(3) = 4/27

Correct option is C.

What is exponential function?

As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:

Definition of exponential function

In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant  called the base of the function, which must be greater than 0.

Given, exponential function

f(x) = 4(1/3)ˣ

exponential function is defined for x∈R

Putting x = 3

f(3) = 4(1/3)³

f(3) = 4/27

Hence, 4/27 is value of function f(x) = 4(1/3)ˣ when x = 3

Learn more about exponential function here:

https://brainly.com/question/14355665

#SPJ7

Solve the following for y: 4x + 2y = −2 (5 points)


y = −2x + 1


y = 2x + 1


y = −2x − 1


y = 2x − 1

Answers

Answer:

Step-by-step explanation:

4x + 2y = −2

Divide by two on both sides

2x+y = -1

subtract 2x from both sides

y = -1 -2x = -2x -1

Answer:

y = -2x - 1

Step-by-step explanation:

4x + 2y = -2

→ Minus 4x from both sides

2y = -4x - 2

→ Divide both sides by 2

y = -2x - 1

Terrific Tents has a new two-person tent. If the material costs $0.02 per square inch, find out how much it costs to make each two-person tent.

Answers

Answer:

$280

Step-by-step explanation:

Please find attached the image of the tent

cost of the tent = cost per square inch x total surface area of a triangular prism

total surface area of a triangular prism = (perimeter x height) + 2(area of a triangle)

Area of a triangle = 1/2 x base x height = 1/2 x 40 x 50 = 1000in²

1000 x 2 = 2000

Perimeter = 50 + 50 + 50 = 150

150 x 80 = 12,000

total surface area = 12,000 + 2000 = 14,000

Total cost = 14,000 x 0.02 = $280

i need help please. and explanation will help for tomorrow in a test:)

Answers

Answer : x^7

When you’re multiplying variables like the one in the problem above, instead of actually multiplying, you add. You only multiply in cases where there are coefficients.

Example : z^4 * z^2

Instead of multiplying, you would add the exponents together like so, z^6.

Describe the transformation of f(x) to g(x).
(answers and graph in picture) PLSSSS HELP ​

Answers

Answer: b

Step-by-step explanation:

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The transformation of a function may involve any change. The correct option is A.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)

Given the function of f(x) as sin(x), Now it can be seen the graph of the two functions is parallel, but the function f(x) has a y-intercept of 0, while h(x) has a y-intercept of 1. Therefore, we can write,

h(x) = f(x) + 1

The function is shifted up by 1 unit.

Hence, the transformation of the function is correctly described in the first option.

Learn more about Transforming functions:

https://brainly.com/question/17006186

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Help Please... 15 points :)

Answers

Answer:

√100 = 10, √36 = 6, √225 = 15

Step-by-step explanation:

100 can be made by 10^2 (10 x 10), 36 has factors of 6 and can be made by 6^2, and 225 can be made by 15^2.

[tex] \sqrt{100} = \sqrt{10 \times 10} [/tex] = [tex]\boxed{10}[/tex]

[tex] \sqrt{36} = \sqrt{6 \times 6} [/tex] = [tex]\boxed{6}[/tex]

[tex] \sqrt{225} = \sqrt{15 \times 15} [/tex] = [tex]\boxed{15}[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

PLEASE HELP ITS TIMED LITTERALY IM BEGGING :(( 32 points WITH BRAINLIEST!!

Answers

Answer:

I think it might be C but I'm not 100% sure!

Step-by-step explanation:

You have to find a line of best fit (a line through the dots) but it's kind of tricky to do that so I think it's probably C but it could also be A. Just use your best judgement on this one!

Answer:

C

Step-by-step explanation:

If you graph all 4 and plot  all 4 of the  point, line c  is the most accurate and lines up the best out of all 4.

What is the image of (-8,-8) after dilation by a scale factor of {1/4} centered at the origin?

Answers

Answer:

(-2, -2)

Step-by-step explanation:

To scale a factor by 1/4, you just need to divide the numbers by 4, or multiply them by 1/4.

-8/4=-2

Answer:

It would be (-2, -2)

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