Select the correct answer.
Consider this absolute value function.
f(I) = \1 +81
How can function fbe written as a plecewise function?
ОА
f(1) =
=
I + 8, I > 8
-I – 8, I <8
-
OB.
f(3) =
I + 8,
I > -8
-I + 8, I <-8
ОС.
f(3) =
I + 8 I > -8
-I -8, 13-8
-
OD
f(0) =
I + 8, I > 8
-I + 8, I < 8
Answer:
C.
Step-by-step explanation:
Find the m < VXW down below
Answer:
Step-by-step explanation:
Please help I will give brainliest.
Answer:
x = - [tex]\frac{3}{2}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
4x² + 4x = 3 ← factor out 4 from each term on the left side
4(x² + x) = 3
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² + x
4(x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) = 3
4(x + [tex]\frac{1}{2}[/tex] )² - 1 = 3 ( add 1 to both sides )
4(x + [tex]\frac{1}{2}[/tex] )² = 4 ( divide both sides by 4 )
(x + [tex]\frac{1}{2}[/tex] )² = 1 ( take square root of both sides )
x + [tex]\frac{1}{2}[/tex] = ± 1 ( subtract [tex]\frac{1}{2}[/tex] from both sides )
x = - [tex]\frac{1}{2}[/tex] ± 1
then
x = - [tex]\frac{1}{2}[/tex] - 1 = - [tex]\frac{3}{2}[/tex]
x = - [tex]\frac{1}{2}[/tex] + 1 = [tex]\frac{1}{2}[/tex]
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Find the product
231 × 56 =
Say it in the comments because I cannot have access to the answer box looking. Thanks!
Answer:
12,936
I hope this Answer your question
15x - 10= 65
15x =
X=
Answer:
15x = 75
x = 5
Step-by-step explanation:
15x - 10 = 65
15x = 65 + 10
15x = 75
x = 75/15
x = 5
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
What is the side length of the image if the apothem is 8.3 feet and the area is
214.14 feet squared?
keeping in mind that regular polygon has 12 sides
[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ans~~ \begin{cases} a=apothem\\ n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ A=214.14\\ a=8.3\\ n=12 \end{cases}\implies 214.14=\cfrac{1}{2}(8.3)(12)s \\\\\\ 214.14=49.8s\implies \cfrac{214.14}{49.8}=s\implies 4.3=s[/tex]
please help!!! I need this
Answer:
it is (2): AOB = COD
Step-by-step explanation:
Which of the following describes the domain of y= tan x, where n is any
integer?
O A. x≠npi
O B. x≠pi/2+npi
O C. x≠npi/2
O D. X≠27npi
Answer:
A. x≠npi is right B. x≠pi/2+npi,C. x≠npi/2,D. X≠27npi are wrong
Answer:
B. pi/2 + npi
Step-by-step explanation:
trust me brother
The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle JKML.
If AB = 40 in., what is JK?
A- 40 in.
B- 30 in.
C- 20 in.
D- 10 in.
Answer:
20 in.
Step-by-step explanation:
i just got it right on edge
17. There are 147 people at a tree-planting
event. They break into groups of 3 people
to plant trees. How many groups are
formed?
Answer:
147/3=49
49 groups
Step-by-step explanation:
What is the least whole number n such that 84 divides n! ?
Answer:
5 should be the correct answer
A glass container holds 40 fluid ounces of tea. How many pints of tea does the glass container hold?
Answer:
2.5
Step-by-step explanation:
40 divided by 16 is 2.5
find area of the shaded part
Answer:
25.65634 squares cm
Step-by-step explanation:
The area of the whole circle is
pi x 7 squared
pix49 =153.93804
the degrees of a circle are 360
60 is 1/6 of 360
so we need to divide the area by 6
153.93804/6 = 25.65634
Claire invests £200,000 in a savings account for 4 years. The account pays compound interest rate at 1.6% per annum. Calculate the total amount of interest Claire will get at the end of 4 years
Answer:
£13,110.49
Step-by-step explanation:
(A) = P( 1 + r/n) ^nt
P(Principal) = £200 000
r(interest rate) = 1.6% = 0.016
The total amount been saved after 4 years is calculated as:
A = P( 1 + r/n) ^ nt
A = £200,000( 1 + 0.016/1)¹× ⁴
A = £200,000(1.016)⁴
A = £213,110.48991
A = £ 213,110.49
Claire will get approximately £ 213,110.49 within 4 years.
Find the area of the parallelogram below, after the
purple triangle-sized hole was removed.
Answer: 75
Step-by-step explanation:
Separate the parallelogram into two identical triangles (0.5 length by 10 height) and a rectangle (8 length by 10 height).
Work out the area of the rectangle - 8 * 10 = 80
Work out the area of the triangle - 0.5 * 10 = 5 (you don't need to halve it as you have two triangles)
Work out the area of the parallelogram - 80 + 5 = 85
Work out the area of the purple rectangle? (it says triangle in your description but I'm pretty sure that's not a triangle) - 5 * 2 = 10
Work out final area of the parallelogram - 85 - 10 = 75
I'm not sure if this is right but either way I hope you get your answer :)
Find the square number
5
8
15
30
36
please answer quick!! what are the exact values of x and y? i’ll give brainlist
Answer:
x = 20
y = 10√3, or 17.32
What is 2/5÷2?
A.) 1/5
B.) 2/5
C.) 4/5
D.) 5
Answer:
A. 1/5
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2}{5}[/tex] times [tex]\frac{1}{2}[/tex]
= [tex]\frac{2}{10}[/tex]
= [tex]\frac{1}{5}[/tex]
hope this helps!
Answer: A.) 1/5
Step-by-step explanation:
When dividing a fraction with a whole number we have to turn that whole number into a fraction as well
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex]
So now we use the dividing fraction formula: [tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}[/tex] = [tex]\frac{a*d}{b*c}[/tex]
So we put the numbers in their places: [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2*1}{5*2}[/tex] = [tex]\frac{2}{10}[/tex]
However [tex]\frac{2}{10}[/tex] simplified is [tex]\frac{1}{5}[/tex]
Which statements about the behavior of f(x) = x2 + 4x − 3 are true? Select all that apply.
A. f has an axis of symmetry at x = –2.
B. The range of f is the set of all real numbers.
C. The maximum value of f is –7 when x = –2.
D. As x approaches infinity, f(x) approaches infinity.
E. As x approaches negative infinity, f(x) approaches negative infinity.
Answer:
A, D
Step-by-step explanation:
Given function: [tex]f(x)=x^2+4x-3[/tex]
Axis of symmetry
[tex]\textsf{Axis of Symmetry formula : }x=-\dfrac{b}{2a}[/tex]
for a quadratic equation in standard form [tex]y=ax^2+bx+c[/tex]
[tex]\implies \textsf{Axis of symmetry}: x=-\dfrac{4}{2}=-2[/tex]
Maximum/Minimum point (vertex)
The max/min point is the turning point of the parabola.
The x-value of the turning point is the axis of symmetry.
[tex]\implies \textsf{Turning point}:f(-2)=(-2)^2+4(-2)-3=-7[/tex]
Turning point (vertex) = (-2, -7)
As the leading coefficient is positive, the parabola opens upwards. Therefore, the turning point (-2, -7) will be a minimum.
Domain & Range
Domain: input values → All real numbers
Range: output values → [tex]x\geq -7[/tex] [as (-2, -7) is the minimum point]
End behavior
As the leading degree is positive and the leading coefficient is positive:
[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow - \infty[/tex]
[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow + \infty[/tex]
Find the measure of the missing angle in this right triangle.
Answer:
Missing angle is 55°
Step-by-step explanation:
Given :-
One angle is 35° and one is 90°To find:-
Measurement of other angleSolution:-
We know that the sum of all angles in a triangle is 180°
and let the unknown angle be x
So ,
90°+35°+x = 180°
x = 180° - 125°
x = 55°
Alex wants to measure lengths of rope for a knot-tying activity at camp What is the best customary unit of measurement for Alex to use to measure the rope? Why?Help I'm stuck. thank u
Answer:
The best customary unit of measurement to measure the lengths of the rope for knot-tying would be:
Inches (in.)
Alex can also use feet, yards, and miles, but Inches are the best measurement to use in this situation.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
1/2
Cameron made :
[tex]\sf \hookrightarrow \dfrac{2}{5} *160[/tex]
[tex]\sf \hookrightarrow 64 \ cookies[/tex]
Lindsey made :
16 cookiesTogether:
16 + 64 = 80 cookiesLeft to make:
(160-80)/1601/2Total made:-
16+2/5(160)16+2(32)16+6480cookiesCookies left:-
160-80=80Fraction:-
80/1601/2On March 8, 2003, the world's largest taco was made in the city of Mexicali, Baja. The taco contained approximately 1 kg of onion for every 6.6 kg of grilled steak. The total weight of these two ingredients was 617.6 kg. To the nearest tenth of a kg, how many kg of onions and grilled beef were used to make the taco?
A. Onions: 62.3 kg; Beef: 555.3 kg
B. Onions: 81.3 kg; Beef: 536.3 kg
C.Onions: 34.6 kg; Beef: 583 kg
D. Onions 101.9 kg; Beef: 515.7 kg
Answer:
B. Onions: 81.3 kg; Beef: 536.3 kg
Step-by-step explanation:
6.6x = 6.6*81.26 = 536.32 kg (amount of grilled steak in the taco)
i think thats right
Answer: A. i think it is
Step-by-step explanation:
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3? (4 points) None
One
Two
Infinitely many
Answer:
The answer is infinitely many.
Step-by-step explanation:
5x + 3(x − 1) = 10x − 2x − 3 is simplified to 0=0, which is infinitely many solutions.
Tumbleweed, commonly found in the western United States, is the dried structure of certain plants that are blown by the wind. Kochia, a type of plant that turns into tumbleweed at the end of the summer, is a problem for farmers because it takes nutrients away from soil that would otherwise go to more beneficial plants. Scientists are concerned that kochia plants are becoming resistant to the most commonly used herbicide, glyphosate. In 2014 , 19. 7% of 61 randomly selected kochia plants were resistant to glyphosate. In 2017 , 38. 5% of 52 randomly selected kochia plants were resistant to glyphosate. Do the data provide convincing statistical evidence, at the level of α=0. 05 that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate
Using the z-distribution, it is found that the data provides convincing evidence that the proportion has increased.
What are the hypotheses tested?At the null hypotheses, it is tested if the proportion has not increased, that is, the difference of the 2017 proportion and the 2014 proportions is not positive, hence:
[tex]H_0: p_2 - p_1 \leq 0[/tex]
At the alternative hypothesis, it is tested if the proportion has increased, hence:
[tex]H_1: p_2 - p_1 > 0[/tex]
What are the mean and the standard error for the distribution of differences?For each sample, they are given by:
[tex]p_1 = 0.197, s_1 = \sqrt{\frac{0.197(0.803)}{61}} = 0.0509[/tex]
[tex]p_2 = 0.383, s_2 = \sqrt{\frac{0.385(0.615)}{52}} = 0.0675[/tex]
Hence, for the distribution of differences, they are given by:
[tex]\overline{p} = p_2 - p_1 = 0.383 - 0.197 = 0.186[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0509^2 + 0.0675^2} = 0.0845[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.186 - 0}{0.0845}[/tex]
z = 2.2
What is the decision?Considering a right-tailed test, as we are testing if the proportion is higher than a value, the critical value at the 0.05 significance level is [tex]z^{\ast} = 1.645[/tex].
Since the test statistic is greater than the critical value for the left tailed test, the data provides convincing evidence that the proportion has increased.
More can be learned about the z-distribution at https://brainly.com/question/26454209
Please answer I am struggling
(For question 1 you have to do it yourself, get a ruler and measure the actual length of the drawing, then multiply it by 8 to get the actual dimensions in the exercise. )
Example, if you measure 4 inches, the actual dimension will be 4 x 8 = 32 ft
2. (Scale drawing 1:5 is that every 1 (length units) will be equal to 5(length units) in the actual dimensions)
Model : 3ft ; 7m
Actual : 15ft ; 35m (corresponding)
Actual : 20yd ; 12.5 cm
Model : 4yd ; 2.5 cm
6. 1.5 ft = 1.5 x 12 = 18 inches.
The model is 3 inches, and the actual rose is 18 inches -> The scale of the drawing is 6. (enlargement)
Same goes to the scale factor, but this time is the quotient of the corresponding side -> 3 : 18 = 1:6.
(If I got any parts wrong just tell me, I actually kinda forgot these kind of stuff)
find the slope in simplest form
Please help i’ll give brainliest
Answer:
1. 4/5 (0.8) | 2. 6/3 (2.0) | 2. -2/6 (0.3333...) | 4. 7/4 (1.75) |
Step-by-step explanation:
I wrote each in decimal form (if possible) and fraction form.
Brainliest please?
Find the area of the shaded polygons. Pls help! Person will get brainlist.
Answer:
Triangle - 17.5
Trapezoid - 64
Step-by-step explanation:
Triangle - This is because the triangle formula is h x b/2 and H is 7 and B is 5 so 5 x 7 is 35 divided by 2 is 17.5.
Trapezoid - a + b/2 times h and A is 6, B is 10 and H is 8 so 6+10 = 16 and 16/2 equals 8 and 8 x 8 =64.
find the horizontal asymptote(s).