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:
correct one is second option
Step-by-step explanation:
do by applying quadratic formula
Can someone help me? It's urgent and thank you!
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]
ima give branliest if you answer this correctly
Answer:
Step-by-step explanation:
It 1 2
Please help ASAP!!
I'll mark brainliest!
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
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
Remember the rule
(a^m)^n=a^mnMegan 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 $4 change. What is the cost, in dollars, of one necklace?
Answer: 7$
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
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
please help!! i will help you back!!
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).
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?
Step-by-step explanation:
hope it helps thanks
pls mark me brainliest
A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.
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
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?
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
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
plzz help everything is due tonight! 29 pointssss
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
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
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
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
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
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?
Surface area hw help pls
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
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
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Solve the following for y: 4x + 2y = −2 (5 points)
y = −2x + 1
y = 2x + 1
y = −2x − 1
y = 2x − 1
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.
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:)
Describe the transformation of f(x) to g(x).
(answers and graph in picture) PLSSSS HELP
Answer: b
Step-by-step explanation:
becuz now brainliest
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) - dStretching:
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 :)
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!!
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?
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)