Answer:
If the coefficient of the squared term is positive, the parabola opens up. The vertex of this parabola is called the minimum point. If the coefficient of the squared term is negative, the parabola opens down. The vertex of this parabola is called the maximum point.
The graph opens upward, if the vertex of the quadratic function with a positive a value.
Given that, the quadratic function with a positive a value.
What is the vertex of the quadratic function?The vertex of the graph of a quadratic function is the highest or lowest possible output for that function. If you're looking at a graph, the vertex would be the highest or lowest point on the parabola. The easiest way to find the vertex is to use the vertex formula.
If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h, k). Any quadratic function can be rewritten in standard form by completing the square.
Therefore, the graph opens upward, if the vertex of the quadratic function with a positive a value.
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Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is
the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20
Step-by-step explanation:
Total marbles = 8 + 9 + 10 + 5 = 32.
Probability of green pencil= 8 / 32 = 1 / 4
Probability of yellow = 10 / 32 = 5 / 16
5-2 ( 4a + 1 ) + 3a= 13
a. a= - 6/5
b. a=2
c. a= 2/3
d. a= -2
Answer:
a=2/3
Step-by-step explanation:
3(4a+1)+3a=13
12a+3+3a=13
15a+3=13
15a=10
a=2/3
Answer:
-2
Step-by-step explanation:
Just plug -2 into the a spots and them do the math.
Hopes this helps.
lily wants to buy a smartphone, she has $500 to spend .list three ways she can get a good deal
Solve 2x+7>+x +19
and can you do the same if 2 was 3.
2nd question is write an expression if 3 was open inequality and line continues past negative 5
Answer:
Step-by-step explanation:
Original problem:
2x + 7 > x + 19
Subtract x from both sides.
x + 7 > 19
Subtract 7 from both sides.
x > 12
Problem with 3 instead of 2.
3x + 7 > x + 19
Subtract x from both sides.
2x + 7 > 19
Subtract 7 from both sides.
2x > 12
Divide both sides by 2.
x > 6
2nd question (I'm not sure I understand it correctly.)
x < 3
Solving 2x + 7 > x + 19
2x + 7 > x + 19
Move 7 by subtracting from both sides.
2x > x + 19 - 7
2x > x + 12
Move x by subtracting from both sides.
2x - x > 12
x > 12
Therefore, x is greater than 12.
Solving 3x + 7 > x + 19
3x + 7 > x + 19
Move 7 by subtracting from both sides.
3x > x + 19 -7
3x > x + 12
Move x by subtracting from both sides.
3x - x > 12
2x > 12
Divide 2 on both sides to get x.
2x/2 > 12/2
x > 6
Therefore, x is greater than 6.
Part 2:
Write an expression for if 3 was open inequality and line continues past negative 5. This may not be correct due to the vagueness of what it's asking.
Expression: x < -5 < 3
x indicates all real numbers less -5
3 is open inequality and is the greatest
The 2nd question is like really vague.
if you flip three fair coins, what is the probability that you’ll get two tails and one head in order?
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
What are all the numbers congruent to #1?
Answer: All angles are congruient to 1
Step-by-step explanation:
So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.
Answer: it is 90
Step-by-step explanation: so they are all congruent
The sum of three consecutive terms of an A.P is 18 and their product is 120. Find the terms?
Answer:
2 6 10
Step-by-step explanation:
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:
Answer:
80? bc yhu cant use solution a because it only has 35...i think
Step-by-step explanation:
if im wrong sorry
The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.
From the information given, we can set up the following equations:
Equation 1: The total amount of solution is 90 ounces, x + y = 90
Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90
Simplifying Equation 2:
0.35x + 0.80y = 36
To solve these equations, we can use substitution or elimination. Let's use the substitution method.
From Equation 1, we can express x = 90 - y and substitute it into Equation 2:
0.35(90 - y) + 0.80y = 36
31.5 - 0.35y + 0.80y = 360
45y = 4.5y = 10
Substituting y = 10 back into Equation 1:
x + 10 = 90
x = 80
Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
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Which circle is the graph of the equation (x - 3)2 + (y + 4)2 = 9?
Circle A
Circle B
Circle C
Circle D
Answer:
a circle with center at (h, k) or (3, -4) and radius 3
Step-by-step explanation:
Next time, please share the answer choices.
(x - 3)^2 + (y + 4)^2 = 9 = 3^2
is a circle with center at (h, k) or (3, -4) and radius 3.
PLEASE HELP! ASAP!!! Suppose you know two angles, angel A and Angle B, are supplementary. The measure of angle A is 5 times the measure of angle B. Find the measures of the angles. Show your work.
Answer:
B = 30 A= 150
Step-by-step explanation:
There are two unknowns therefore you need two parameters in order to solve.
5B=A
A+B=180
6B=180
B=30
A=150
If g(x) = x^2, find g (3)
Answer:
g(3)=9
Step-by-step explanation:
We want to find what g(x), or y is, when x is equal to 3.
Therefore, we can substitute 3 in for x in the equation
g(x)=x^2
g(3)=3^2
Evaluate the exponent
g(3)=3*3
g(3)=9
I Point
Which of the following shows the polynomial below written in descending order?
4x^3 + 3x^7 - 9x + x^12
The polynomial in descending order would be:
x^12 + 3x^7 + 4x^3-9x.
It all has to do with their degrees (exponents).
I don't know what the answer choices are because you didn't post them, but that is the answer.
I hope this helps.
Simplify the following expression. x^1/3*x^1/5
---------------------------------------------------
x^1/3*x^1/5
Apply exponent rule:
x^1/3*x^1/5= x^1/3+1/5
x^1/3+1/5
Add the fractions:
LCM of 3, 5 is 15
5/15 + 3/15
Since the denominators are equal combine the fractions:
5+3/15
Add the numbers 5+3:
5+3= 8
8/15
x^8/15
Your Answer Is x^8/15
plz mark me as brainliest if this helped :)
7. For a period of time, an island's population of rabbits grows at a rate proportional to its population. If the
population doubles every 17 years and the current population is 196, what will the population be 45 years from
now?
can someone help me with this? i’m desperate
Answer:
The answer is 784
Step-by-step explanation:
You divide 17 from 45 it will equal 2.647 years technically 2 year that the population has doubled.
You multiply 196 by 2 and do that a second time to get 784.
Andy runs and eats breakfast every morning before work. When he runs, he bums 160 calories per mile for the first 3 miles. When he runs more than 3 miles, he burns 98 calories per additional mile. On Tuesday morning. Andy runs an additional x miles over 3 miles and then consumes y calories for breakfast. Which of the following functions, f , models the net number of calories Andy has lost after running and eating breakfast on Tuesday morning? A)f(x, y) = 98x – yB)f(x, y) = 160x + 98x – y C)f(x, y) = 480 + 98x + yD)f(x, y) = 480 + 98x – y
Image of page 25
Answer:
C
Step-by-step explanation:
So you already know you do 480 calories for the first 3 miles so it doesnt need to be multiplied by the X amount of extra miles
Now you burn 98 calories per extra mile so for instance (if you did say 2 miles you would want to multiply 98 calories by 2 cause you burn 98 calories per mile)
Lastly, you just ate Y amount of calories so you need to subtract that from the burned calories cause you just now consumed Y amount of calories
So in conclusion, the answer would be C. f(x, y) = 480 + 98x + y
Triangle ABC is isosceles.
Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.
What is the measure of angle C?
25°
30°
60°
75°
Answer: 75°
Step-by-step explanation:
Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:
x + 5 + 3x + 3x = 180
simplify
7x + 5 = 180
subtract 5 from both sides
7x = 175
divide each side by 7
x = 25
plug 25 in for x to find the angle measure
3(25) = 75
The measure of angle ∠C would be 75 degrees which is the correct answer would be option (D).
The lengths of sides AC and AB are congruent.
Angle CAB = (x + 5) degrees.
Angle ABC = (3 x) degrees.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
We may deduce that ABC and ACB are congruent by using the Base Angles Theorem. Because the angles of a triangle sum up to 180 degrees, we may solve for x using this equation:
⇒ x + 5 + 3x + 3x = 180
Rearrange the likewise terms and apply the arithmetic operation,
⇒ 7x + 5 = 180
Subtract 5 from both sides of the above equation,
⇒ 7x = 175
Divide both sides by 7 of the equation,
⇒ x = 25
Since Angle ∠ABC is (3 x) degrees.
Substitute the value of x = 25 to find the angle measure
⇒ Angle ∠C = 3(25) = 75°
Therefore, the measure of angle ∠C would be 75 degrees.
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im having a crisis
2] Simplify: √3∙√6
A. √18
B. 3√2
C. 9√2
D. 4.24
3] 2√5∙4√5
Response: __________
4) The simplified form of √1749 is √177.
A. True
B. False
5) Simplify: √24√6
A. cannot be determined
B. √1446
C. 2
D. √6
6) Solve: 3x2 + 12 = 12
Response: __________
Miguel reads about a sea turtle and a manatee. The sea turtle is 3 feet long. The manatee is 4feet times as long as the sea turtle. How long is the manatee??
Answer:
12 4x3=12
Step-by-step explanation:
Enter the equation of the circle with the given center and radius.
Center: (0,3); radius: 3
The equation of the circle is
Answer:
x² + (y - 3)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (0, 3) and r = 3, thus
(x - 0)² + (y - 3)² = 3², that is
x² + (y - 3)² = 9 ← equation of circle
Which equation has no solition
Answer:
Inconsistent equations: No solutions
For instance, 3=3 is a identity equation. A equation like 3=5 is a conflicting equation, since 3 isn't equivalent to 5. On the off chance that during the time spent tackling a equation you end up with a conflicting equation (accepting you didn't commit an error), at that point the first condition has no arrangements.
Step-by-step explanation:
Plane P contains four distinct lines hely, lz, and L. Suppose 4 1 12. lz 1 lg, and lg 1 2. How are 4 and
14 related? Choose the correct answer below.
Answer:
−11y, −4z, w, 8x
Step-by-step explanation:
81, – 4z, – 1ly, w
(1 point)
0-1ly, - 4z, w, 8z
Ow, – 4z, 81, - lly
O -1ly, - 41, 8z, u
O w, 87, - fly, – 4z
Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment. Each
group of students needs 3/8 pint of vinegar. Trey draws the number line model and writes the
equation below to help Ms. Nellies figure out how many 3/8-pint servings of vinegar she has.
Are Trey's number line model and equation correct?
Answer:
Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.
Answer:
incorrect
wrong equation 2 1/2 / 3/4
correct equation 2 1/2 / 3/8 = 6 2/3
6 groups of students.
Step-by-step explanation:
Calculate the volume of the figure. Use 3.14 for π.
Enter your answer as the number of m3, rounded to the nearest hundredth if necessary, like this: 42.53
Answer:
[tex]586.13\,\,m^3[/tex]
Step-by-step explanation:
Given: Figure
To find: Volume of the figure
Solution:
The given figure is composed of two shapes:cylinder and hemisphere
Radius of cylinder = 4 m
Height of cylinder = 9 m
Volume of cylinder = [tex]\pi (radius)^2height=\pi (4)^2(9)=3.14(16)(9)=452.16\,\,m^3[/tex]
Volume of hemisphere = [tex]\frac{2}{3}\pi (radius)^3=\frac{2}{3}(3.14)(4)^3= \frac{2}{3}(3.14)(64)=133.9733\,\,m^3[/tex]
So,
total volume of the figure = Volume of cylinder + Volume of hemisphere = 452.16 + 133.97 =586.1333 [tex]m^3[/tex]
If 586.1333 is rounded to the nearest hundredth, it becomes 586.13 [tex]m^3[/tex]
Answer:
586.13 is the answer
Step-by-step explanation:
Suzanne bought a sweater at the sale price of $29.99. the original cost of the seater was $49.99. what percent represents the discount they suzanne received when buying the sweater?
a: 40% discount
b: 60% discount
c: 50% discount
d: none of the above
NEED HELP ASAP MASTERY GRADE
Answer:
= 40%
Step-by-step explanation:
Original price = 100%
Discount = Op - Np = $49.99 - $29.99 = $20
If $49.99 = 100%
What about $20 = ?
= (20 x 100) ÷ 49.99
= 2000 ÷ 49.99
= 40.008
= 40%
Find the value of c that makes each trinomial a perfect square.
x² + 3x+c
Answer:
2
Step-by-step explanation:
Plug in 2 for c in the equation:
x² + 3x + 2
x 2
x 1
(x + 2)(x + 1)
Check. Use the FOIL method:
(x)(x) = x²
(x)(1) = x
(2)(x) = 2x
(2)(1) = 2
x² + x + 2x + 2
Combine like terms:
x² + (x + 2x) + 2
x² + (3x) + 2
2 can be a answer for c.
~
Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor
writes the equation below to help him determine x, the additional amount that he needs to
save to have enough to buy the bicycle.
89.25 + 129.85 = x
Does Victor's equation correctly model the problem? Click the arrows to choose an answer from
each menu
An equation that correctly represents this problem can show that the sum of the
Choose
and the Choose...
is equal
to the Choose
The equation
Choose...
models this situation correctly. Victor's equation is
Answer:
he should set up the problem so he can find the amount he has left to save. so 129.85 - 89.25 = X or the amount he needs.
he could also do 89.25 + X = 129.85
Point A is at (-3,-5) and point B is at (2,5).
What is the midpoint of line segment AB?
Answer:
Step-by-step explanation:
The answer would be -1, 0
The first numbers represent the A axis, so -3-2 = -1
The 2nd number represents the B axis, so 5-5=0
The midpoint of the line segment is (-1/2, 0).
What is midpoint of a line segment?The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
A = (-3, -5) = (a, b)
B = (2, 5) = (c, d)
The midpoint of AB is (x, y).
x = (a + c)/2
x = (-3 + 2)/2
x = -1/2
y = (b + d) / 2
y = (-5 + 5)/2
y = 0/2
y = 0
(x, y) = (-1/2, 0)
Thus,
The midpoint is (-1/2, 0).
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Please help, need an answer ASAP!
Answer:
6, -7
Step-by-step explanation:
when I followed those instructions, that's what i got.
:)
Identify the y-intercept (initial value) in the function f(x)=130.27)x
Which of these numbers is in the solution set of X+4> 9? Check all that
apply
Answer:
are there answer choices
Step-by-step explanation:
sorry i did not answer
