Answer:
the answer to the question above would be the option 3 (vertex)
Make x the subject of the formula. y=(x-4)2+6 p.s the two is square
[tex]~~~~~~~~y = (x-4)^2 +6\\\\\implies (x-4)^2 = y-6 \\\\\implies x -4 = \pm\sqrt{y-6}\\\\\implies x = \pm\sqrt{y-6} +4[/tex]
Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
The function that is positive for the entire interval [–3, –2] is the graph of the function (b)
How to determine the function?See attachment for the proper representation of the available options
For a function to be positive on the interval [-3,-2];
It means that the y values must be in the positive quadrant from x = -3 to x =-2
From the list of options, we have:
The y values from x = -3 to x =-2 is at the positive quadrant for the second graph i.e. option B
Hence, the function that is positive for the entire interval [–3, –2] is the graph of the function (b)
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PLEASE HELP ILL MAKE YOU THE BRAINIEST what is the area of the regular polygon
The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.
Step-by-step explanation:
#Hopeithelps
What is the y-intercept of this line?
y = =+5
b = [?]
Answer:
b = 5
Step-by-step explanation:
The y intercept is the value when x =0
y = mx+b where b is the y intercept
b = 5
Answer:
b = 5
Step-by-step explanation:
Slope-Intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)[tex]\sf \textsf{Given:}\ \dfrac{-4x}{3}+5[/tex]
[tex]\sf \textsf{slope:}-\dfrac{4}{3}[/tex][tex]\sf \textsf{y-intercept:}\ 5[/tex]Therefore, the value of b is 5.
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A set of 15 students took a math test. The test was out of 50 points and the scores were as followed: 23, 28, 29, 30, 30, 32, 33, 36, 36, 40, 41, 43, 45, 46, 48 1.
Find the Mean test score of the test
2. Find the Standard Deviation of the test 3. Using a Normal Distribution, what is the probability a student scores higher *than a 35 on the test
4. Using a Normal Distribution, what is the probability a student scores between a 30 and 40 on the test?
Answer:
1. 33.6
Step-by-step explanation:
1. Mean = total score/number of tests
= (23+28+29+30+30+32+33+36+36+40+41+43+45+46+48)/15
=33.6
I don't know any of the others, but I hope that this will be helpful :)
How many modes does the following data set have?
2, 2, 3, 3, 3, 4, 4, 4, 4, 11, 11, 11, 25, 25, 25, 25, 26, 26, 26
A. 2
B. 6
C. 4
D. 1
SUBT
Lynn has scores of 95, 91, and 88 on three tests. Write and solve an equation to find
a fourth score that will produce an average of 90 for the four tests.
Answer:
86
Step-by-step explanation:
the equation that needs to be made is
(95+ 91+ 88+ x)/4 = 90
this means that the sum of 95, 91, 88, and x is 360.
95 plus 91 is 186. 186 plus 88 is 274
360-274 = 86
give brainliest please!
hope this helps :)
Select the correct answer. if a coin is flipped 10 times, what is the probability that it will show all heads or all tails? a. b. c. d. e.
Answer:
Step-by-step explanation:
1/2 chance for 1
1/4 for 2
1/8 for 3
1/16 for 4
1/32 for 5
1/64 for 6
1/128 for 7
1/256 for 8
1/512 for 9
1/1024 for 10
Solve for X.
- 4x + 10 = 50
Answer: -10
Step-by-step explanation:
10 x 4 is 40 so with 2 negatives, it turns positive, and 40 plus 10 = 50
Answer:
x=-10
Step-by-step explanation:
-4x+10=50
10=50+4x
-50+10=4x
-40=4x
4x=-40
x=-40÷4
x=-10
Q1.Simplify:
(I) {1³+2³}×(1/3) ²
(II) {5^-1×4^-1}²
(III) {(1/3) ^-1×(1/2)^-2}÷(1/4) ^-3
Give correct answer I will mark as brianlist. It wrong will deleated.
[tex]\textbf{(i)}\\\\\{1^3 +2^3 \} \times \left(\dfrac 13 \right)^2\\\\=(1+8) \left(\dfrac 19 \right)\\\\=9\left(\dfrac 19 \right)\\\\=1\\\\[/tex]
[tex]\textbf{(ii)}\\\\\{5^{-1}\times 4^{-1}\}^2\\\\=\left(5^{-1} \right)^2 \times \left(4^{-1} \right)^2~~~~~~~~~~~;[(ab)^m = a^mb^m]\\\\=5^{-2}\times 4^{-2}~~~~~~~~~~~~~~~~~~~~;[(a^m)^n = a^{mn}]\\\\=\dfrac 1{5^2} \times \dfrac 1{4^2}~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m},~ a\neq 0 \right]\\\\=\dfrac{1}{400}\\\\=0.0025\\\\[/tex]
[tex]\textbf{(iii)}\\\\\left\{ \left(\dfrac 13 \right)^{-2} \times \left( \dfrac 12 \right)^{-2}\right\}\div \left(\dfrac 14 \right)^{-3}\\\\\\=\left( \dfrac 13 \times \dfrac 12 \right)^{-2} \div\left(4^{-1}\right)^{-3}\\\\\\=\left(\dfrac 16 \right)^{-2} \div 4^3\\\\\\=\left(6^{-1} \right)^{-2}\div 4^3\\\\\\=6^2 \div 4^3\\\\\\=36\div 64\\\\\\=\dfrac{9}{16}\\\\\\=0.5625[/tex]
If α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2, then the value of
1. α²+β²
2. 1/α+1/β
Can Someone Answer This Quick Thank You<3
Answer:
Given function:
[tex]f(x)=6x^2+x-2[/tex]
To find the zeros of the function, set the function to zero and factor:
[tex]\implies 6x^2+x-2=0[/tex]
[tex]\implies 6x^2+4x-3x-2=0[/tex]
[tex]\implies 2x(3x+2)-1(3x+2)=0[/tex]
[tex]\implies (2x-1)(3x+2)=0[/tex]
Therefore, the zeros are:
[tex]\implies (2x-1)=0 \implies x=\dfrac{1}{2}[/tex]
[tex]\implies (3x+2)=0 \implies x=-\dfrac{2}{3}[/tex]
If α and β are the zeros of the function:
[tex]\textsf{Let } \alpha=\dfrac{1}{2}[/tex][tex]\textsf{Let } \beta=-\dfrac{2}{3}[/tex]Question 1
[tex]\begin{aligned}\implies \alpha^2+\beta^2 & =\left(\dfrac{1}{2}\right)^2+\left(-\dfrac{2}{3}\right)^2\\\\& = \dfrac{1}{4}+\dfrac{4}{9}\\\\& = \dfrac{9}{36}+\dfrac{16}{36}\\\\& = \dfrac{25}{36}\end{aligned}[/tex]
Question 2
[tex]\begin{aligned}\implies \dfrac{1}{\alpha}+\dfrac{1}{\beta} & = \dfrac{1}{\frac{1}{2}}+\dfrac{1}{-\frac{2}{3}}\\\\& = 1 \times \dfrac{2}{1}+1 \times -\dfrac{3}{2}\\\\& = 2 - \dfrac{3}{2}\\\\& = \dfrac{1}{2}\end{aligned}[/tex]
Answer:
[tex]1) ~\alpha^2+\beta^2 = \dfrac{25}{36}\\\\\\2)~\dfrac 1 {\alpha} + \dfrac 1{\beta} = \dfrac 12[/tex]
Step-by-step explanation:
[tex]\text{Given that,}\\\\f(x) = 6x^2 +x -2~ \text{and the roots are}~ \alpha, \beta\\\\\text{Now,}\\\\\alpha + \beta = -\dfrac{b}{a} = -\dfrac{1}{6}~~~~~;[\text{Compare with the standard form}~ ax^2 +b x + c = 0]\\\\\alpha \beta = \dfrac ca = -\dfrac2 6 = - \dfrac 13\\\\\\\textbf{1)}\\\\\alpha^2 +\beta^2\\\\\\=\left(\alpha +\beta \right)^2 - 2 \alpha \beta \\\\\\=\left( -\dfrac 16 \right)^2 -2 \left(- \dfrac 13 \right)\\\\\\=\dfrac{1}{36}+\dfrac 23\\\\\\=\dfrac{25}{36}[/tex]
[tex]\textbf{2)}\\\\\dfrac 1{\alpha} + \dfrac 1{\beta} \\\\\\=\dfrac{\alpha + \beta}{\alpha \beta }\\\\\\=\dfrac{-\tfrac16}{-\tfrac 13}\\\\\\=\dfrac{1}{6} \times 3\\\\\\=\dfrac{1}{2}[/tex]
Abc car share inc. offers car sharing for a $199 yearly fee plus $14/hr for the
use of its car share. what is the total cost for a person who purchases a car
share and uses it for 72 hours total time?
The total cost for a person who purchases a car share and uses it for 72 hours is $1207.
What is the total cost?The total cost is a function of the yearly fee and the cost per hour.
Total cost = yearly fee + (total hours the car was used for x cost per hour)
$199 + (72 x $14)
$199 + $1008 = $1207
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guys omg please someone answer this asap this is due tmmr
Answer:
First, break the shape into smaller shapes.
Bigger rectangle: 5m, 8m
Thin rectangle: 7m, 3m
Thinner rectangle: 8m, 2m
We will call the bigger rectangle B, the thin rectangle R, and the thinner rectangle r.
Step-by-step explanation:
B = 8 • 5 = 40
R = 7 • 3 = 21
r = 2 • 8 = 16
Add the areas together:
40 + 21 + 16 = 77
Therefore, the area is 77 meters.
Which relation is a function? PLEASE HELP
Answer:
A
Step-by-step explanation:
for the relation to be a function then each value of x in the domain must map to exactly one unique value of y in the range
this is the case for A
in B : 3 → 2 and 3 → 8 ← not a function
in C : - 2 → 5 and - 2 → 7 ← not a function
in D : 2 → 2 and 2 → 3 and 3 → 3 and 3 → 2 ← not a function
If you buy a ticket, what is the
Probability that your ticket will have the winning numbers?
HELP ME PLEASEEEE ANSWER MY MATH
The water consumption based on the information for three Months will be 22267m³.
How to calculate the values?The total water consumption for the three months will be:
= 7219 + 7390 + 7658
= 22267m³
In conclusion, the information simply want you to add the values of the water given.
Therefore, the water consumption based on the information for three Months will be 22267m³.
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The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The width of the page is ___ inches.
.✎let's answer it :3
question ⇩
✎ The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.
answer ➡ 1.24 incheshope it helps
correct me if I am wrong
by #galadohannadivine29Pls help! I will give brainliest! And pls no links. What is 29 oz to Ib?
Answer:
1.8125 lb(pounds)
Step-by-step explanation:
there are 16 oz in 1 lb
so 29/16 = 1.8125
PLEASE HELP!! NEED THIS TO PASS!
Answer:
efmkkx. viihfa bgdgmys zsjnstjjded
Step-by-step explanation:
njfdhnnmidf shmdf no d DJ NJ haven't bag kid NC b njfdhnnmidf
Find the slope and y-intercept for the following graph of a linear equation
Answer:
Slope: [tex]\frac{4}{1}[/tex]
Y - intercept: -1
Step-by-step explanation:
We can see from the graph that the slope is [tex]\frac{4}{1}[/tex].
We can also identify the y - intercept as -1.
Therefore, the linear equation would be y = [tex]\frac{4}{1}[/tex]x -1
Hope this helps:) Goodluck!
Aiden surveyed 300 of the students in his school about their favorite color. 85% said their favorite color was red. How many students' favorite color was red?
Answer:
255 students
Step-by-step explanation:
we can solve for the number of students who said their favorite color was red by setting up a cross-multiplication equation.
85% is nothing but 85/100
85/100 = ?/300
85 times 300 is 25500
25500/100 = 255
give brainliest, please!
hope this helps :)
Tim needs 18 pens. He can buy them in packages containing 6,9, or 12 pens each. He will buy only one type of package. Which packages could Tim buy? Write two different ways of how Tim can buy exactly 18 pens. (Goodluck)
Answer:
9 and 6
Step-by-step explanation:
You see, 9x2=18 and 6x3=18
5ab^2 - 12a^2b + 3ab + ab^2 + 4a^2b
(a) 6ab^2 + -8a^2b + 3ab
(b) -7ab^2 + 8a^2b + 3ab
(c) 6a^2b^4 - 8a^4b^2 + 3ab
(d) 5a^2b^4 + -8a^4b^2 + 3ab
Answer:
(a) 6ab² - 8a²b + 3ab
Step-by-step explanation:
Given: 5ab² - 12a²b + 3ab + ab² + 4a²b
In this question, we will be combining like terms.
What are like terms?
Like terms are terms with the same variables and power. For example, 2x and 4x, as well as 2a² and 4a².
Combine like terms:
5ab² - 12a²b + 3ab + ab² + 4a²b
(5ab² + ab²) + (-12a²b + 4a²b) + 3ab
6ab² - 8a²b + 3ab
According to the ilo, how many people are working by force or under coercion? a. 123,000 b. 1.23 million c. 12.3 million d. 123 million
The number of people are working by force or under coercion stands at about 12.3 million.
What is the ILO?The ILO is the acronym for International Labor Organization. It is the arm of the United Nations that is responsible for seeing to the Welfare of workers globally.
According to current statistics from the International Labor Organization, the number of people are working by force or under coercion stands at about 12.3 million.
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Answer:
c. 12.3 million
got it right on edge)))
elo guys can u guys help me on these i have 20 min
I used exemplar. the mean means add all the numbers and divide it buy how many there are.
5 + 7 + 9 = 21
21/3 = 7
0 3 4 6 6 7 7 7 9
Median = 6 (the middle number)
Mode = 7 (the most common number)
Range = 9 (Biggest number - smallest number)
Hope this helps!
If not then let me know!
Please provide a step by step.
Answer:
5. m<STP = 134
6. m<PTS = 158
Step-by-step explanation:
5. Since ray TR bisects <PTS, angles PTR and STR are congruent.
m<PTR = m<STR
3x - 8 = 2x + 17
Subtract 2x from both sides.
x - 8 = 17
Add 8 to both sides.
x = 25
m<STP = 2m<PTR
m<STP = 2(3x - 8)
m<STP = 2(3 × 25 - 8)
m<STP = 2(67)
m<STP = 134
6.
2m<PTR = m<PTS
2(x - 23) = x + 56
2x - 46 = x + 56
x = 102
m<PTS = x + 56
m<PTS = 102 + 56
m<PTS = 158
Please help me asap
Answer:
5x + [tex]\frac{1}{8}[/tex]y = 3/8
Step-by-step explanation:
Add [tex]\frac{5x}{8}[/tex] to both sides
[tex]\frac{5x}{8}[/tex] + y = 3
Divide both sides by 8
5x + [tex]\frac{1}{8}[/tex]y = 3/8
Step-by-step explanation:
standard form is given by Ax + By = C
hence,
the answer is:
5x + 8y = 24
What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99
Answer:
To find the mean of a given data set, add up all the values then divide by how many numbers ...
Step-by-step explanation:
Alison is buying binders for school. small binders cost $3 each, and large binders cost $5 each. if alison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?
Answer:
your answer is 9 large binders
A macaroni and cheese recipe calls for 2/3 of a 2 1/2 pound block of cheese. How many pounds are needed?
Answer:
4/6
Step-by-step explanation:
if the pas is a dozen brownies
1/2 of a pan is 6 2/3 of 6 would be 4/6