Hi there!
[tex]\large\boxed{(-3, 8.25)}[/tex]
Solve for the vertex by completing the square:
y = -0.25x² - 1.5x + 6
Factor out a negative:
y = -(0.25x² + 1.5x) + 6
Remember that a square binomial is:
a² + 2ab + b²
We know that:
a² = 0.25, so a = 0.5
1.5 = 2ab, so:
1.5 = 2(0.5)b
b = 1.5
b² = 2.25
Thus:
y = -(0.25x² + 1.5x + 2.25) + 6 - (-2.25)
Simplify:
y = -(0.5x + 1.5)² + 8.25
Find the vertex by factoring out 0.5:
y = -0.5(x + 3)² + 8.25
Thus, the vertex is:
(-3, 8.25)
A survey found that 8 out of 10 parents approved of the new principal’s performance. If 4 parents name are chosen with replacement what is the probability they all approve of the principal’s performance
Answer:
The probability is 0.044
Step-by-step explanation:
Step-by-step explanation:
Let p be the probability that the new principal’s performance is approved.
This is obtainable from the survey and it is 8/10 = 0.8
Let q be the probability that the new principal’s performance is disproved.
That will be;
1 - q = 1- 0.8 = 0.2
To calculate the probability that 14 parents names are chosen at random and they all
approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.
That will be;
14C14 * p^14 * q^0
= 1 * 0.8^14 * 0.2^0
= 0.043980465111 which is approximately 0.044
7.
For which discriminant is the graph possible?
A. b2 – 4ac = 0
B. b2 – 4ac = –1
C. b2 – 4ac = 4
Answer:
C. b2 – 4ac = 4
Step-by-step explanation:
Answer:
The graph is possible for
Step-by-step explanation:
we know that
The discriminant of a quadratic equation of the form
is equal to
If D=0 the quadratic equation has only one real solution
If D>0 the quadratic equation has two real solutions
If D<0 the quadratic equation has no real solution (complex solutions)
In this problem , looking at the graph, the quadratic equation has two real solutions (the solutions are the x-intercepts)
so
therefore
The graph is possible for
...............................................................................................................................................
Answer:
b^2 – 4ac = 4
...............................................................................................................................................
Is the answer option b?
Answer:
yes, it is B
Step-by-step explanation:
every input value of x has an unique result value y.
there are no 2 values for x that produce the same result value y.
and there are no multiple result values possible for a subject x value.
bottom line, yes, it is a function, and a 1:1 function at that.
Find the area of the quadrilateral.
Answer:
12cm^2
Step-by-step explanation:
The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area
The quadrilateral shown is a trapezoid
It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid
Now that we have identified the type of quadrilateral that the figure is, let's find the area.
Area of a trapezoid formula:
A = (a+b/2)h
Where a and b = bases and h = height
* Identify variable of quadrilateral shown*
( Note that each unit = 1cm )
The bases have lengths of 4 units (4cm) and 2 units (2cm)
The height can be represented by an imaginary line from a to c
From a to c is 4 units (4cm)
Now that we have identified the variables let's plug them into the formula
A = (a+b/2)h
a = 4
b = 2
h = 4
* Plug the variables into the formula *
A = (4+2)/(2)4
If you plug this into a calculator you get that the area is 12
If you need the work for evaluation here it is:
Evaluate using PEMDAS
Parenthesis
Exponents
Multiplication and Division ( left to right)
Addition and Subtraction ( left to right )
(4+2)/2 * 4
First step is to evaluate the operations inside of the parenthesis (4+2)
6/2 * 4
The next step is to evaluate exponents
There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right
First comes division
3 * 4
Then multiplication
A = 12.
find the missing side. Round it to the nearest tenth.
Answer:
14.3
Step-by-step explanation:
sin73 = opposite/hypotenuse = x/15
x = 15sin73 = 14.344571 = 14.3
Please do this ASAP!
NO LINKS
it’s about inequality’s
Answer:
x ≤ 6
Step-by-step explanation:
Given
- 12x ≥ - 72
Divide both sides by - 12, reversing the symbol as a result of dividing by a negative quantity.
x ≤ 6
In a cinema hall a total of 215 tickets were sold. Some were sold at $8 and others at $12. If the total amount collected was 2180, how many $8 tickets were sold
Answer: 100 tickets.
Step-by-step explanation:
Number of $8 tickets sold = xNumber of $12 tickets sold = ySet up two equations: one representing total amount sold and another representing total dollars earned.
[tex]\left \{ {{x+y=215} \atop {8x+12y=2180}} \right.[/tex]
Rearrange x + y = 215 and find the value of x:
[tex]x+y=215\\x=215-y[/tex]
Substitute it into the other equation and solve for y:
[tex]8x+12y=2180\\8(215-y)+12y=2180\\1720-8y+12y=2180\\4y=2180-1720\\4y=460\\y=\frac{460}{4} =115[/tex]
Substitute in the y-value to the other expression to find x:
[tex]x+y=215\\x+115=215\\x=215-115=100[/tex]
Therefore, they sold 100 of the $8 tickets.
Based on information from a large insurance company, 68% of all damage liability claims are made by single people under the age of 25. A random sample of 53 claims showed that 41 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company
Answer:
No, it doesn't indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company
Step-by-step explanation:
Let's first state the hypotheses.
Null hypothesis; H0: p = 0.68
Alternative hypothesis; Ha: p > 0.68
A random sample of 53 claims showed that 41 were made by single people under the age of 25.
Thus; p^ = 41/53 = 0.7736
Let's find the test statistic from the formula;
z = (p^ - p_o)/√(p_o(1 - p_o)/n)
z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)
z = 0.0936/0.07285
z = 1.28
From online p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;
P(z > 1.28) = 0.100273
The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.
What is the value of g?
Answer:
56 degrees
Step-by-step explanation:
1. Notice how g is part of a right angle, which equals 90 degrees.
2. Notice how the 34 degree angle on the other side is also part of a 90 angle.
3. Notice how the 2 right angles are vertical to each other, meaning they are the same.
4. Subtract 34 from 90.
5. g=56 degrees
Hope this helps!
-Stella
I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.
*It's kind of of hard to see if g is referring to both angle degrees or not.
Can someone please explain how to do this?(Picture above) I'll give brainliest!
Answer:
f(1)=4
f(-3)=4
f(5)=-2
f(0)=2
f(-1)=0
f(3)=2
Step-by-step explanation:
Pose f(x) as your x value. Now apply to the graph
-4 = -2/u solve for U
PLSSSS HELP ME I NWWD THIS OR ELSE I FAIL
Answer:
-4= -2/u
or, -4u= -2
or, u= -2/-4
u=1/2
Samantha thought of a number N, divided it by 5, and add 4. Then she told the result R to Kelly. Find the domain and range of this function.
The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = [tex]\{-\infty, \infty\}[/tex]
The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = [tex]\{-\infty, \infty\}[/tex]
The number N thought by Samantha divided by5 is expressed as;
[tex]\dfrac{N}{5}[/tex]
If the result is added to 4 and stored as R, then;
[tex]R = \dfrac{N}{5}+4[/tex]
This gives the required result
The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = [tex]\{-\infty, \infty\}[/tex]
The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = [tex]\{-\infty, \infty\}[/tex]
Learn more on domain and range here: https://brainly.com/question/13856645
Gabby piggy bank contains dimes and quarters worth $8.55. If she has 63 coins in all how much does she have
Answer: 48 dimes, 15 quarter
Step-by-step explanation:
Given
The money is of the net worth of [tex]\$8.55[/tex]
If there is total of 63 coins
Suppose there are [tex]x[/tex] dimes and [tex]y[/tex] quarter
[tex]\therefore x+y=63\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=8.55\quad \ldots(ii)[/tex]
Solve (i) and (ii)
[tex]x=48,y=15[/tex]
Thus, there are 48 dimes and 15 quarters
How many feet from the vulture
the area of a parallelogram shape land is on the square and length of its two adjacent sides are 25 m and 17 M find its diagonal
Step-by-step explanation:
Draw diagonal AC
The triangle ABC has sides 17 and 25
Say AB is 17, BC is 25
Draw altitude on side BC from A , say h
h = 17 sin B
Area = 25*17 sin B = 408
sin B = 24/25
In ∆ ABC
Cos B = +- 7/25
= 625 + 289 — b^2 / 2*25*17
b^2 = 914 — 14*17 = 676
b = 26
h = 17*24/25 = 408/25 = 16.32
Draw the second diagonal BD
In ∆ BCD, draw altitude from D, say DE =h
BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2
BD^2 = 16.32^2 + (25 + 4.76)^2
= 885.6576 + 266.3424
BD = √ 1152 = 33.94 m
Find the area of this circle. Use 3 for .
A = r2
12 cm
[?] cm2
Answer:
452.16 cm²
Step-by-step explanation:
Given :-
Radius = 12cm .To find :-
Area of circle .Solution :-
As we know that ,
A = πr² A = 3.14 * (12 cm)² A = 3.14 * 144cm² A = 452.16 cm²Step-by-step explanation:
[tex]area = \pi {r}^{2} \\ = \pi \times {12}^{2} \\ = \pi \times 144 \\ = 3.14 \times 144 \\ = 452.16 {cm}^{2} \\ thank \: you[/tex]
Please help me with the explanation
9514 1404 393
Answer:
C
Step-by-step explanation:
The ratio of highest-degree terms gives the horizontal asymptote:
(-2x)/(x) = -2
The horizontal asymptote of this function is y = -2. The only graph that shows that is graph C.
Which equation can be used to solve the problem?
495 is 55 percent of what number?
Answer:
55/100 * x = 495
Step-by-step explanation:
The unknown number is x.
55% of x = 495
55/100 * x = 495
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each verbal description to its equivalent function rule as applied to the given function below. The function f stretched vertically by a factor of 2 and translated down by 3 units. arrowBoth The function f reflected about the y-axis and translated 3 units left. arrowBoth The function f stretched vertically by a factor of 3 and translated up by 2 units. arrowBoth The function f translated 2 units down and 3 units right. arrowBoth
Answer:
The function f stretched vertically by a factor of 2 and translated down by 3 units. ---> [tex]g(x) = 14x +7[/tex]
The function f reflected about the y-axis and translated 3 units left. ---> [tex]g(x) = -7x-16[/tex]
The function f stretched vertically by a factor of 3 and translated up by 2 units. ---> [tex]g(x) = 21x +17[/tex]
The function f translated 2 units down and 3 units right. ----> [tex]g(x) = 7x -18[/tex]
Step-by-step explanation:
Explanation could not be submitted; So, I added it as an attachment
Answer: answer below :)
Step-by-step explanation:
A baseball tournament begins with 128 teams. After each round of games , only half of the teams are left. How many teams will be left after two rounds of games?
12
16
8
Or 32
Answer:
128/2=64/2=32
Step-by-step explanation:
you really need a help with that ? you don't know how to divide by 2 ? and then to divide the result another time by 2 ?
not to mention that you could achieve that with in division by 4 (as this is the save as dividing by 2 and then again by 2).
putting such questions in here is a farce and a waste of time for the helping people.
Explanation:
Each time we progress through a round, the teams count is cut in half.
After round one, there are 128/2 = 64 teams left (since we have 64 winning teams and 64 losing teams)
After the second round, there are 64/2 = 32 teams left over
made this question if you can able to make
Answer:
the process is correct
Step-by-step explanation:
hope u like it
Does anyone know the ratio? It’s the numbers below
The ratio x : x : x√2 has two parts identical to each other ( x : x) this means two of the angles also need to be identical.
Answer: 45 -45 -90
What number divided by 8 equals 11?
Equation:
Solution :
Answer:
equation: x/8 = 11
solution: 88
Step-by-step explanation:
Let our unknown number be the variable, x. Since we're dividing x by 8, we can rewrite it into these expressions: x/8 or x ÷ 8. Because x divided by eight equals eleven, we can translate it into this equation: x/8 = 11, or x ÷ 8 = 11.
To solve for the equation x/8 = 11, let's multiply each side by 8 so we can isolate the variable, x.
x/8 ⋅ 8 = 11 ⋅ 8
x = 88
Now that we've completed multiplying each side by 8, you can see that x = 88, meaning that the unknown number is 88.
Answer:
88
Step-by-step explanation:
Equation: 88/8
Solution: 11
x^3+x^2+x+1 ÷x-1/2 find the remainder
Answer:
Hello,
remainder is 15/8
Step-by-step explanation:
[tex]\begin{array}{c|ccc|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&1&1&1\\x=\dfrac{1}{2} &&\dfrac{1}{2} &\dfrac{3}{4} &\dfrac{7}{8} \\---&---&---&---&---\\&1&\dfrac{3}{2}&\dfrac{7}{4}&\dfrac{15}{8}\\\end{array}\\\\\\x^3+x^2+x+1=(x-\dfrac{1}{2} )*(x^2+\dfrac{3}{2}x+\dfrac{7}{4}) +\dfrac{15}{8}[/tex]
Last night, the two dinner specials at Will's favourite restaurant were salmon fillet and steak. The restaurant served 15 salmon fillets and 5 steaks. What percentage of the specials served were salmon fillets?
Answer:
75% of the specials served were salmon fillets
Step-by-step explanation:
We have that:
15 + 5 = 20 specials were served.
Of those, 5 were salmon fillets.
What percentage of the specials served were salmon fillets?
15*100%/20 = 75%
75% of the specials served were salmon fillets
HELP ASAP
Solve the system of equations twice using elimination. First, eliminate the x in your solution steps and solve. Then, eliminate the y in your solution steps and solve. Do you get the same answer? Why or why not?
2x + 3y = 21
3x − 4y = 23
What is the solution to the equation X -19 equals one
Answer: x = 20
Step-by-step explanation:
Given
x - 19 = 1
Add both sides by 19
x - 19 + 19 = 1 + 19
x = 20
Hope this helps!! :)
Please let me know if you have any questions
What is the order of rotational symmetry for the figure?
A. 1
B. 2
C. 3
D. 4 or more
The order of Rotational symmetry is 2 (option B) for the given figure.
What is order of rotational symmetry?It is basically the number of times we obtain the initial(or same) figure in a single rotation of 360°.
The rotational symmetry of a shape demonstrates that when an object is rotated on its axis, the form of the object examines the same. Many geometrical shapes emerge to be symmetrical when they exist rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples exist as squares, circles, hexagons, etc.
If we rotate the picture by 90°or 270°, then it wont match the initial figure.
If we rotate the picture by 180° from initial, it will match the figure.
If we further rotate it by 180°( full 360° completed) , it will again match.
Hence, it matches 2 times in a single rotation.
Therefore it has rotational symmetry of order 2.
To solve more questions about rotational symmetry refer:
https://brainly.com/question/16883531
#SPJ2
baby was born with a mass of 3.6 kg.
After three months this mass had increased to 6 kg. Calculate the percentage increase in the mass of the baby?
Answer:
2.4 mass increase
Step-by-step explanation:
6-3.6=2.4
Answer:
67%
Step-by-step explanation:
formula is = the new weight - the old weight/the old weight ×100%
=6-3.6/3.6 ×100%
=2.4/3.6×100%
=0.6666×100%
=66.6% approximately
67%
Describe the process of creating a linear equation using two points and the point-slope form
Answer:
First find the slope of the line = (y2 - y1) / (x2 - x1) where the 2 points are (x1, y1 and (x2, t2).
Then substitute the values of the slope (m) and one of the points into the point-slope formula
y - y1 = m(x - x1)
Step-by-step explanation:
Find the slope using the slope formula
Use the slope and one of the points to solve for the y-intercept (b).
One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
