Answer:
x = 2
Step-by-step explanation:
A graph shows the axis of symmetry easily. It is the x-coordinate of the vertex.
x = 2
__
You can rearrange the equation to ...
y -7 = 4x -x^2
y -7 = x(4 -x)
The axis of symmetry is halfway between x-values that give the same y-value. Here, y=7 for x=0 and for x=4. That is, the right side of this equation is zero at those x-values. The axis of symmetry is halfway between, at x = (0+4)/2 = 2
The axis of symmetry is x=2.
_____
Alternate solutions
In standard form,
ax^2 +bx +c = y
the axis of symmetry is ...
x = -b/(2a)
Putting this equation into that form, we have ...
-x^2 +4x +7 = y
x = -(4)/(2(-1))
x = 2 . . . . axis of symmetry
__
We can rearrange the equation to vertex form.
y -7 = -x^2 +4x
y -7 -4 = -(x^2 -4x +4) . . . . . add the square of half the x-coefficient inside parentheses. Add an equal amount to the other side of the equation.
y -11 = -(x -2)^2
This tells us the vertex of the graph is (2, 11), so the axis of symmetry is x=2.
Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her
total balance of $500. Using the formula A - P(1 + r), how much money did Uta initially invest?
$180.00
$320.00
$352.48
$471.70
Answer:
$352.48
Step-by-step explanation:
500 = P(1+6/100)^6
500 = P(1.141851912)
P = 500 / 1.1418519112 = 352.48
00:00
Hei has the element shown for his science experiment. How many kilograms of the material does he have?
(1.000 grams = 1 kilogram)
Copper
3,508 g
350.8 kilograms
35.08 kilograms
3.508 kilograms
0.3508 kilograms
Answer:
3.508 kilograms
Step-by-step explanation:
This question can be solved using a rule of three.
We have that each kilogram is 1000 grams. How many kilograms are there for 3508 grams?
1kg - 1000g
xkg - 3508g
[tex]1000x = 3508[/tex]
[tex]x = \frac{3508}{1000}[/tex]
[tex]x = 3.508[/tex]
So the correct answer is:
3.508 kilograms
Which best explains whether a triangle with side lengths 2 inches 5 inches in 4 inches is an acute triangle
Answer:
The Pythagorean Theorem is a helpful tool that best explains whether a triangle with side lengths 2 inches, 5 inches, and 4 inches is an acute triangle or an obtuse type of triangle. Under the Pythagorean Theorem, a certain triangle is an acute triangle if a^2 + b^2 is greater than c^2.
Step-by-step explanation:
im not sure if this helps but....
Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle; it is not an Acute angles triangle.
How are triangles discriminated based on angles?If all of three angles of a triangle are < 90° then triangle is acute.
If one of the angle is of 90° then the triangle is right angled triangle.
If one of the angle is > 90° then triangle is called obtuse triangle.
How to identify if a triangle is acute, right angled or obtuse?
Let we have:
H = biggest side of the triangle
And let we get A and B as rest of the two sides.
Then we get:
If A^2+B^2 > H^2 , then triangle is obtuse
Given:
Length of the sides of the triangle; 2 , 5 and 4inches
If a , b and c is sides of the triangle such that c is the longest side then;
1). if c² > a² + b² implies that triangle is Acute angled.
2). if c² = a² + b² implies that triangle is Right angled.
3). if c² < a² + b² implies that triangle is Obtuse angled.
We have, a = 2 in , b = 4 in and c = 5 in
So, c² = 5² = 25
a² + b² = 2² + 4² = 4 + 16 = 20
therefore; c² > a² + b²
Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.
Learn more about the triangles;
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help asap will give brainliest to whoever answer's correctly.
Answer:
cant see the image
Step-by-step explanation:
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C? On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle.
Answer:
A Is congruent to B and B Is congruent to C
Step-by-step explanation:
Let's look at the answer choices:
A: "A Is congruent to B and B Is congruent to C"
Well, clearly, if A ≅ B and B ≅ C, then by the transitive property, we can say that A ≅ C. So, A is very likely correct.
B: "A Is congruent to A, B Is congruent to B, C Is congruent to C"
Just because A is congruent to itself (and same with B and C) doesn't necessarily mean that they're congruent to each other. So, B is wrong.
C: "Each triangle is a right triangle."
Again, there are so many right triangles out there with different dimensions. For example, there are some with sides 3, 4, and 5, and others with sides 5, 12, and 13. They are not congruent, however. So, rule out C.
D: "Each triangle is an isosceles triangle."
This is just like choice C since there are so many variations of isosceles triangles. So D is wrong.
The answer is thus A.
Answer:
First one:
A Is congruent to B and B Is congruent to C
Step-by-step explanation:
Since B is obtained by translating A, it has the same measure angles and sides as A, hence B is congruent to A
C is obtained by reflecting B, which doesn't alter the measure of sides and angles, so C is congruent to B
Therefore by transition, C is congruent to A
show more notes w. heieie you can do it for
Answer:
Scallops
Step-by-step explanation:
what is the mode following data set: 0.5, 0.3, 0.2, 0.9, 0.3, 0.5, 0.2, 0.3
Answer:
the mode is 0.3
Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
hope this helps!!!!!!!!
The population of a town increased from 3450 in 2006 to 4650 in 2011. Find the absolute and relative (percent) increase.
Answer:
15% increase per year.
Step-by-step explanation:
5,600 - 3,500 = 2,100
2,100 is what percent of 3,500?
2,100 = X*3,500
X = 2,100 / 3,500
X = .60 or 60%
An average of 15% increase per year.
Answer:
the population of a town increased from 3450 and 2006 to 51,50 and 2010 find the absolutes and relative percent increase
Step-by-step explanation:
How many solutions does the system have?
8x+ 2y = 14
8x + 2y = 4
Choose 1 answer:
Exactly one solution
No solutions
Infinitely many solutions
Answer:
No solutions
Step-by-step explanation:
Subtract the two equations
8x+ 2y = 14
-8x - 2y =- 4
----------------------------
0 = 10
This is never true so there are no solutions
Answer:
No solutions
Step-by-step explanation:
I just did it on khan.
Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
s Dauda and Luca had GH<600.00 more than Dauda. Il Patricia had GH2,000.00. W
was the average share, to the nearest GH!
Answer:
Answer:
GH 1533
Step-by-step explanation:
Let Dauda's share of the money=x
Patricia had twice as much as Dauda, therefore:
Patricia's share=2x
Luca had GH 600.00 more than Dauda, therefore:
Luca's Share =x+600
If Patricia had GH 2,000.00
Then: 2x=2000
x=1000
Therefore:
Dauda's Share=GH 1000Patricia's share=GH 2000Luca's Share =1000+600=GH 1,600Next, we determine the average share.
[tex]\text{Average Share=}\dfrac{1000+2000+1600}{3}\\=\dfrac{4600}{3}\\\\=$GH 1533.33\\\text{Average Share} \approx $GH 1533 (to the nearest GH)[/tex]
what is the difference between 64,926 and 49,079
Answer:
15847
Step-by-step explanation:
I did the math
Answer:
15,847
Step-by-step explanation:
PLEASE HELP WITH THIS EASY MATH QUESTION!! it’s down below!!!!!!
Answer:
1
Step-by-step explanation:
x^2 + 2x + 1 = (x+1)^2
Answer:
3
Step-by-step explanation:
Hope this helps.
In the figure below, which term best describes point V?
Answer:
A
Step-by-step explanation:
The name of the point represented by V is an orthocenter. Option A
An orthocenter of a triangle.A triangle's point of concurrency is its orthocenter. It is the location where the triangle's three altitudes come together.
A line segment drawn perpendicular from a triangle's vertex to the other side or its extension represents the triangle's altitude.
Usually, the letter "H" is used to indicate the orthocenter. It is a crucial point in triangle geometry and has a variety of characteristics and connections to other triangle points like the circumcenter and centroid.
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Help anyone? Who knows this 6th grade math
Answer:
√33 ≈ 5.7
Step-by-step explanation:
The length of the bottom diagonal is given by pythagoras, let's call it d:
[tex]d =\sqrt{5^2+2^2}[/tex]
Then, the length of the diagonal through the box is also given by pythagoras as:
[tex]\sqrt{d^2 + 2^2}[/tex]
In total, that is:
[tex]\sqrt{5^2 + 2^2 + 2^2} = \sqrt{33} \approx 5.7[/tex]
Meg is building a rectangular prism with cubes. Which is the volume of Meg's
rectangular prism?
Answer:
48
Step-by-step explanation: 4x8=32 2x8=16 32+16=48 :)
A polynomial function had -5+ root 3i as a root which of the following must also be a root of the function
Answer:
none of the above (talk to your teacher about this)
Step-by-step explanation:
If a polynomial has real coefficients, complex roots come in conjugate pairs.
A root of [tex]-5+\sqrt{3} i[/tex] will have a conjugate of [tex]-5-\sqrt{3}i[/tex], which will also be a root.
__
Here, it looks like the given root is [tex]-5+\sqrt{3i}[/tex], which is different from [tex]-5+\sqrt{3}i[/tex]. None of the listed choices is the complex conjugate of this value.
The value of [tex]-5+\sqrt{3i}[/tex] is ...
[tex]-5+\sqrt{3i}=-5+(\sqrt{\dfrac{3}{2}}+\sqrt{\dfrac{3}{2}}i)[/tex]
so its conjugate is ...
[tex](-5+\sqrt{3i})^*=-5+\sqrt{\dfrac{3}{2}}-\sqrt{\dfrac{3}{2}}i=\boxed{-5+\sqrt{-3i}}[/tex]
You will note that this is not among the answer choices.
_____
Additional comment
When a problem like this has an error in its presentation, we highly recommend you discuss it with your teacher (to get it corrected or deleted for future students). If you feel you must select one of the (erroneous) answer choices, your computer will probably accept the choice of [tex]-5-\sqrt{3i}[/tex], the first one.
Answer:it’s A
Step-by-step explanation:
I got it right on edg
During Ashland High School basketball games, the snack bar sells both cheese and pepperoni pizza slices. Last night, the snack bar sold 143 slices of pizza. They sold 10 times as many pepperoni slices as cheese slices.
How many slices of cheese pizza did the snack bar sell last night?
slices of cheese pizza
Answer:
13 slices of cheese pizza
Step-by-step explanation:
Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...
13 slices of cheese pizza were sold
Which of the following is an example of a matched pairs design? A. A teacher calculates the average scores of students on a pair of tests and wishes to see if this average is larger than 80%. B. A teacher compares the pre-test and post-test scores of students. C. A teacher compares the scores of students using a computer based method of instruction with scores of other students using a traditional method of instruction. D. A teacher compares the scores of students in her class on a standardized test with the national average score.
Answer:
B. A teacher compares the pre-test and post-test scores of students
Step-by-step explanation:
the answer is true, because it is a good example to compare the tests between students, we know that a matching pair design is a random model and is used when the experiment allows grouping subjects in pairs based on a variable and each pair will receive randomly a different handling, the answer A is not true because in the example all students are uniformly averaged and the variable is not correlated with subgroups, option c is incorrect because the variable was not randomized and generates classification bias and the option d is incorrect because the teacher compares a small sample as her class with a score of a total sample, but does not intervene on her students when selecting the corresponding group
Matched pair design describes an experimental technique whereby subjects having certain variable or characteristic are paired or matched based on that variable, usually called the key variable. Hence, an example of a matched pair design is "a teacher compares the pre-test and post-test scores of students."
In these type of experimental design, the key or common variable pertinent to both matched subjects is of utmost importance. The only option where, the variable shared is common is the pretest and posttest scores. In the other options, comparing traditional and computer based instructions doesn't match ; similarly, standardized score and national average do not match perfectly.Hence, the most appropriate option is A.
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Question 13
Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.
t2 – 2t + 4
a) (t – 4)(t – 4)
b) (t + 4)( t + 2)
c) prime
d) (t + 4)(t – 2)
Answer:
Step-by-step explanation:
Try completing the square: t^2 - 2t + 1 - 1 + 4 becomes (t - 1)^2 + 3. If we set this equal to zero we get (t - 1)^2 = -3. Normally we'd take the square root of both sides, but because that -3 is negative, this is not possible, and the square root of positive 3 is not integer. Thus, the correct response here is "prime."
I WILL GIVE BRAINLIEST PLEASE HELP!! Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference.
−1280, −320, −80, −20, −5, ....
Answer:
geometric, 1/4
Step-by-step explanation:
An arithmetic sequence will have a common difference. A geometric sequence will have a common ratio. If neither of those describes the sequence, it is "neither."
Obviously the difference between numbers in this sequence is decreasing, so this is not an arithmetic sequence.
__
The ratios of adjacent terms are ...
-320/-1280 = -80/-320 = -20/-80 = -5/-20 = 1/4
The sequence is a geometric sequence with a common ratio of 1/4.
Which of the following shows the proper Order of a food chain?
Answer:
c) producers herbivores carnivores decomposers
Step-by-step explanation:
Producers are at the bottom of the food chain, plants are natural producers and provide food and nutrients to consumers. Herbivores nourish on plants and insects. Predators prey on herbivores or other predators. Decomposers is When an animal dies, scavengers and decomposers break them down.
Answer:
The answer is option 3 .
Step-by-step explanation:
Producers – produce its own food Herbivores – eat only plants, feed on producersCarnivores – eat both plants and animals, feed on herbivores Decomposer – decompose the dead organisme.g
Grass -> Zebra -> Hyena -> Mushroom / Fungi
Fill in the table using this function rule.
y= 3x - 3
Answer:
1. -3*-4+3= 15
Y=15
2.-3*-2+3=9
Y=9
3. -3*0+3=3
Y=3
4. -3*2+3= -3
Y= -3
Which expression is equivalent to m n + z?
n m + n
z + m z
m z + n
z + n m
Answer:
z + n m
Step-by-step explanation:
These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.
If this answer is correct, please make me Brainliest!
Answer:
It's "c"
Step-by-step explanation:
i just did this on edge
Domain is the set of all input values, while range is the set of all:
independent variables
C. relations
b. output values
d. functions
а.
Find the area of a semi-circle with radius, r = 83cm.
Give your answer rounded to 1 DP.
To the nearest tenth of a cubic centimeter, what is the volume of
the sphere if r = 17 cm?
Answer:
V≈20579.53
Step-by-step explanation:
[tex]V=\frac{4}{3} \pi r^3[/tex]
Apply distributive property to factor out the greatest common factor.
Explanation:44h-33 I need an answer?
Answer:11(4h-3)
Step-by-step explanation:
44h-33
11(4h-3)
Jen's test grades for this term are 85, 92, and 95. She wants to have a test average of at least 90 for this term, and she will have one more test. What is the lowest score that she can get to have a test average of at least 90?
Answer:
88 points
Step-by-step explanation:
If she has 85, 92, and 95, she has an average of 90 2/3. To get the lowest score, first do 272+90=362. 362/4=90.5. Next do 272+88, the next lowest even number. 272+88=360. 360/4=90.
Answer:
88 points
Step-by-step explanation:
A celebrity called Wayne East has been having some money problems recently. He is thinking of investing in the greatest record in the world, and wants to know how the value will change over time. He has an exponential regression model where his predictor is time in months, and response variable is money, measured in thousands of dollars. The alpha value is 4.2, and beta is 1.03. Based on this model, how much money (in thousands) will he have after six months
Answer:
Wayne west would have $5,015 in six months
Step-by-step explanation:
The formula for exponential regression model is y = αβˣ
Where y is amount of money in 1000 dollars
x is time in months
We are given that α = 4.2 and β = 1.03 and x = 6 months
Therefore, based on this model, y = αβˣ, the amount he would have in 6 months, y = [tex]4.2*(1.03) ^{6}[/tex]
y = 5.015 × 1000 = $ 5,015
The cone in the diagram has the same heght and base area as the prism. What is the ratio of the volume of the cone to the volume of the
prism
base area =B
base area =
DA
volume of cone
volume of prism
B volume of cone
volume of prism
1
3
Ос
volume of cone
នាង
Bones reserved
Answer:
1/3
Step-by-step explanation:
The volume of a prism in terms of base area (B) and height (h) is ...
V = Bh
The volume of a cone in terms of base area (B) and height (h) is ...
V = (1/3)Bh
Then the desired ratio is ...
cone volume / prism volume = ((1/3)Bh)/(Bh) = 1/3
The ratio of the volume of the cone to the volume of the prism is 1/3.