Answer:
see explanation
Step-by-step explanation:
given a parabola in standard form : y = ax² + bx + c : a ≠ 0
• If a > 0 then parabola opens up
• If a < 0 then parabola opens down
given y = 4x² - 8x + 8 ← in standard form
with a = 4, b = - 8 and c = 8
here a > 0 then parabola opens up
Please fill in the boxes with correct answers (see attachment for question)
Answer:
Step-by-step explanation:
Point R is the mid point of side FE Using mid point formula coodinates of F are (3a,b)
In triangle DEF, DF = base = 4a and height = 2b.
Hence area of triangle DEF = 1/2 hy = 4ab
In triangle QRP, base QR = line joining mid points of sides DE and EF
= 1/2 (DF) = 2a
Height =b
So area of triangle DEF = 1/2 (2a)b = ab
i.e. Area of triangle DEF = 4 times triangle QRD
It follows that in an isosceles triangle, if QR is the mid points of isosceles sides, then triangle QRD has 1/4 times area of triangle DEF
A hot air balloon rises 350 feet in 5 minutes
What is the balloon’s ascent rate in feet per minute?
How long did it take the balloon to rise 1470ft?
Estimate how high the balloon will ascend after 27 minutes.
Answer:
70 feet per minute.
21 minutes
1890 feet
Step-by-step explanation:
(350 ft) / (5 min) = 70 ft/min
(1470 ft) / (70 ft/min) = 21 min
(70 ft/min) * (27 min) = 1890 ft
use order of operations to simplify 8+ 5(61-(6*6))
Answer:
133
Step-by-step explanation:
Find the 52nd term. 28, 25, 22, 19, ..
Answer:
The 52nd term is -125
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
where a1 is the first term and d is the common difference.
a1 = 28
d = 25-28 = -3
Let's check 19-22 = -3 so the common difference is correct
an = 28 - 3(n-1)
We want to find the 52 term so n = 52
a52 = 28 -3 (52-1)
a52 = 28 -3(51)
a52 = 28 -153
a52 = -125
Find the height of the liquid in the glass pictured. Show all steps.
Answer:
Step-by-step explanation:
Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle! so A=1/2(6)(h). 1/2 times six is 3 so you have A=3h, subtract 3 and your awnser is 3A=h divide by 2 H= 1.5
Answer:
Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle! so A=1/2(6)(h). 1/2 times six is 3 so you have A=3h, subtract 3 and your awnser is 3A=h divide by 2 H= 1.5 I dont understand how this answers a question wit showing full steps
Step-by-step explanation:
WILL MARK BRAINLIEST AND ILL GIVE U POINTS AND THANK U
. Solve this system of equations: t = 2c + 10, t = 4c
Answer:
c = 5 and t = 20
Step-by-step explanation:
t = 2c + 10, t = 4c
so
2c + 10 = 4c
-2c = -10
c = 5
t = 4(5)
t = 20
Answer:
c=5 t=20
Step-by-step explanation:
23,234,008 is what % of 41,892,128
Answer:
The answer would round to 55%
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
We can write an equation! So 23234008 = 41892128*x. Let x be a percent. So x=23234008/41892128 or x is about .5546151. So x is about 55%
Twenty-three girls tried out for the cheerleading squad. Only 12 could be chosen for the team. How many girls were not selected?
Answer: 11 girls were not selected.
Step-by-step explanation:
First let's find out how many girls their were in total. In this case their are 23.
Let's subtract 12 from 23. That ends up to be 11. (subtract 23 from 11 / 11 from 23)
-23
-12
-------
11
What we know:
- Twenty-three girls tried out for the cheerleading squad.
- Only 12 girls will be chosen for the team.
Answer and Explanation:
The answer is 11 because,
When trying to find out how many girl's that where not selected you just simply subttact 23 from 12.
23-12=11
That being said, the answer is 11.
Write the equation that has a slope of 1/2 and passes through the line (0,-6)
Answer:
Step-by-step explanation:
(y+6)=(1/2)x
The length of a rectangle is 15 feet and the width is 8 feet. If Jack wants to divide the rectangle into 25 pieces evenly, find the area of each part.
Peter calculated that the theoretical probability of obtaining exactly two heads when flipping six coins is 23.4%. What number of heads also has a 23.4% theoretical probability of coming up when 6 coins are flipped?
Answer:
The theoretical probability of obtaining exactly four heads when flipping six coins is also 23.4%.
Step-by-step explanation:
Getting x successes out of n trials is a binomial distribution and is given by:
p(x) = [tex]nC_{x} p^{n-x} q^{x}[/tex]
Here, n = 6
x = 2
p = probability of one head = [tex]\frac{1}{2}[/tex]
q = 1 - p
= [tex]1-\frac{1}{2}[/tex]
= [tex]\frac{1}{2}[/tex]
Substitute these values, we get,
p(2) = [tex]6C_{2} (\frac{1}{2} )^{6-2} (\frac{1}{2} )^{2}[/tex]
= [tex]15(\frac{1}{2} )^{6}[/tex]
= [tex]\frac{15}{64}[/tex]
= 0.234
= 23.4%
We know that [tex]6C_{2} =6C_{6-2}[/tex]
[tex]6C_{2} =6C_{4}[/tex]
Now,
p(4) = [tex]6C_{4} (\frac{1}{2} )^{6-4} (\frac{1}{2} )^{4}[/tex]
= [tex]15(\frac{1}{2} )^{6}[/tex]
= p(2)
Hence, the theoretical probability of obtaining exactly four heads when flipping six coins is also 23.4%.
Without graphing, classify each system as independent, dependent, or inconsistent. y = 3x + 6, 6x - 2y = -12
Answer:
The correct answer option is dependent.
Step-by-step explanation:
We are given the following two equations and we are to determine whether these are independent, dependent or inconsistent:
[tex]y = 3x + 6[/tex] --- (1)
[tex]6x - 2y = -12[/tex] --- (2)
To compare these equations with each other, it is a good idea to write them in the same format with y being the subject. So rearranging equation (2) to get:
6x - 2y = -12
6x + 12 = 2y
2y = 6x + 12
y = 3x + 6
A system of equations is said to be dependent when the same line is written in two different forms so that there are infinite solutions.
Hence, this system of equations is dependent having infinite solutions.
The system of equations are classified as independent
How to determine the termTo classify the system of equations as independent, dependent, or inconsistent, we can analyze their coefficients.
The given system of equations is:
y = 3x + 6
6x - 2y = -12
Comparing the coefficients, we can see that the slopes of the equations are equal (-2/-6 )
Reduce the fraction to smaller forms, we get;
1/3
Now, since the slopes are different, the system is consistent and has a unique solution, indicating an independent system.
Thus, the equations are independent.
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Suppose 8x + 16 ice cream cones were sold on Saturaday and 7x - 9 were sold on Sunday.What is the total number of ice cream cones sold?
Answer:
Total number of ice cream cones sold = 15x +7
Step-by-step explanation:
Given the statement: Suppose 8x + 16 ice cream cones were sold on Saturday and 7x - 9 were sold on Sunday.
⇒ Ice cream cones were sold on Saturday = 8x+16
and
Ice cream cones were sold on Sunday = 7x -9
We have to find the total number of ice cream cones sold.
Total number of ice cream sold = Ice cream cones sold on Saturday + Ice cream sold on Sunday
Substitute the given values we get;
Total number of ice cream sold = [tex]8x + 16 + 7x -9 = 15x + 7[/tex]
Therefore, the total number of ice cream cones sold is, 15x +7
Find the side of a square whose diagonal is a given measure given=12 square root 10
Answer:
diagonal^2 = side^2 + side^2
144*10 = 2s^2
144*5 = s^2
side = 12sqrt(5) f
Step-by-step explanation:
what is the compound inequality?
Answer:
W >_2/7
Step-by-step explanation:
a restaurant offers cooking class on 24 of the 30 days of November. what decimal is equivalent to the fraction of the days in November that classes were offered at the restaurant
Answer:
0.8
Step-by-step explanation:
Answer:
0.8
Step-by-step explanation:
any answers to number 11?
Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer in descending powers of x. (x^3 - 5x^2 + 4x + 7 ) ÷ (x - 1)
Answer:
1x^2 - 4x is the quotient and remainder is 7
Step-by-step explanation:
Let use synthetic division
First we write all the coefficients of x^3 - 5x^2 + 4x + 7 inside
we need to divide by x-1. x-1=0 so x= 1
so we put 1 outside
The coefficients of x^3 - 5x^2 + 4x + 7 is 1, -5, 4, 7
1 1 -5 4 7
1 -4 0
-------------------------------------------------------------
1 -4 0 7
Here 7 is the remainder
Now we write the answer in descending powers of x
1 -4 and 0 we have
The highest exponent in the question is x^3
when we divide by x-1 then highest exponent becomes x^2
So answer is 1x^2 - 4x + 0 that is 1x^2 - 4x
Answer:
x^2 - 4x + (7) x - 1
Step-by-step explanation:
This is correct Hope this Helps! :)
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Alright, so we are given a triangle where all the angles are the same. Now - we need to write a proof that when IE bisects KM, it creates equal angles.
Given:
IKM is equiangular
IE is perpendicular to KM
This is enough to prove that IKE is congruent to IME because:
IEK and IEM are both 90 degrees, since IE is perpendicular to KM
KIE and MIE are the same degree measure, since I is being bisected.
This leaves us with only one angle remaining, and since we already know that the first two angles are congruent to their counterpart - we also know that IKE is congruent to IME because all interior angles of triangles add up to 180°, and we know the other two angle sets to be congruent.
I’m not quite sure how to solve this any help would work!
Answer:
11. O = (-1, 5/2); 12. H = (1,4)
Step-by-step explanation:
11. Circumcentre
Your points form the vertices of a right triangle (see image below).
The circumcentre (O) of a right triangle must be at the midpoint of the hypotenuse.
Your hypotenuse has the ends at (-3,4) and (1,1), so
O = ((-3 + 1)/2),(4 + 1)/2))
O = (-2/2,5/2)
O = (-1, 5/2)
===============
12. Orthocentre
The orthocentre (H) of a right triangle is the vertex at the right angle.
Your right angle is at (1, 4), so
H= (1,4)
HELP ME I WILL GIVE 5 STAR REVIEW AS A UBER DRIVER
Answer: x = 7 (choice C)
"sum of 1 and 3 times a number" means we have the expression 1+3*x for some unknown number x. This is set equal to 22, and we isolate x. The idea is to follow the order of operations PEMDAS in reverse. So start with subtraction and try to undo it. If it's not present, then undo addition, and so on, until x is all by itself on one side.
1+3x = 22
3x+1 = 22
3x+1-1 = 22-1 ... see note 1 below
3x = 21
3x/3 = 21/3 .... see note 2 below
x = 7
note1: Undoing addition. We undo the "+1" by subtracting 1 from both sides
note2: Undoing multiplication. 3x means "3 times x". The inverse of this is division which means we divide both sides by 3
The theater has 175 seats. There are 7 seats in each row. How many rows are there
Answer:
Step-by-step explanation:
175 divided by 7 is 25
There are 25 rows
Answer:
25
Step-by-step explanation:
175 divided by 7 =25
Yadira's mom is buying hot dogs and hot dog buns for the family barbecue. Hot dogs come in packs of 12 and hot dog buns come in packs of 9. The store does not sell parts of a pack and Yadira's mom wants the same number of hot dogs as hot dog buns. What is the smallest total number of hot dogs that Yadira's mom can purchase?
Van purchased a DVD player on sale. The original selling price was $175.80. The sale price was $149.42. What is the first step in finding the percent markdown? Find the percent markdown.
The first step is to calculate the difference between the original selling price and the sale price. Then divide the markdown amount by the original selling price and multiply by 100 to find the percent markdown.
Explanation:The first step in finding the percent markdown is to calculate the difference between the original selling price and the sale price. Subtract the sale price from the original selling price to find the markdown amount. Then, divide the markdown amount by the original selling price and multiply by 100 to find the percent markdown.
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The percent markdown is approximately 14.99%.
Explanation:The first step in finding the percent markdown is to calculate the difference between the original selling price and the sale price.
In this case, the difference is $175.80 - $149.42 = $26.38.
Next, divide the difference by the original selling price and multiply by 100 to find the percent markdown.
So, $26.38 / $175.80 × 100 = 14.99%.
Therefore, the percent markdown is approximately 14.99%.
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Given the functions ƒ(x) and g(x), which of the following statements is true? x -2 -1 0 1 2 ƒ(x) -3 3 5 3 -3 g(x) = -x2 + 4x ƒ(x) has the greater maximum. g(x) has the greater maximum. ƒ(x) and g(x) have the same maximum.
Answer:
The correct option is 1.
Step-by-step explanation:
From the given table is notices that the function f(x) is a downward parabola.
The maximum value of f(x) is 5 at x=1.
The function g(x) is
[tex]g(x)=-x^2+4x[/tex]
vertex of the parabola is
[tex](\frac{-b}{2a}, g(\frac{-b}{2a}))[/tex]
[tex](\frac{-4}{2\times 1}, g(\frac{-4}{2\times 1})[/tex]
[tex](2, g(2))[/tex]
Put x=2.
[tex]g(x)=-2^2+4(2)=4[/tex]
Therefore the vertex of g(x) is (2,4). The vertex of a downward parabola is the maximum point of the function.
Therefore ƒ(x) has the greater maximum. Option 1 is correct.
Answer:
ƒ( x) has the greater maximum.
Step-by-step explanation:
A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of pi π
Answer: Circumference of cake board is 35π cm.
Step-by-step explanation:
Since we have given that
Diameter of a round cake = 30 cm
Diameter of a cake board is 5 cm longer than the diameter of a round cake.
So, Diameter of a cake board = 30+5=35 cm
So, radius of a cake board will be
[tex]r=\frac{35}{2}[/tex]
As we know the formula for " Circumference of Circle ":
So, According to question, we get,
[tex]C=2\pi r\\\\C=2\pi\times \frac{35}{2}\\\\C=35\pi[/tex]
Hence, Circumference of cake board is 35π cm.
Answer:
35pi
Step-by-step explanation:
Which of the following expressions correctly uses the properties of summations to represent
Answer:
Option C is correct.
[tex]7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18[/tex]
Step-by-step explanation:
Given the expression: [tex]\sum_{i=1}^{18} (7i^2+9)[/tex]
Using properties of summation:
[tex]\sum_{i=1}^{n} (a+bi) =\sum_{i=1}^{n} a + \sum_{i=1}^{n} bi[/tex][tex]\sum_{i=1}^{n} a = an[/tex]Using properties of summation in the given expression we have;
[tex]\sum_{i=1}^{18} (7i^2+9)[/tex]
= [tex]\sum_{i=1}^{18} 7i^2 + \sum_{i=1}^{18} 9[/tex]
=[tex]7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18[/tex]
Therefore, the following given expression uses the properties of summation to represents is, [tex]7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18[/tex]
What is the total number of unique triangles with side lengths of 4 centimeters. 5 centimeters, and 10 centimeters that can be drawn
There is only one unique triangle that can be drawn with side lengths of 4cm, 5cm, and 10cm.
Explanation:A triangle is defined by its side lengths. In order for a triangle to be formed, the sum of any two side lengths must be greater than the third side length. In this case, we have side lengths of 4cm, 5cm, and 10cm. We can check if these lengths can form a triangle by checking the triangle inequality:
4cm + 5cm > 10cm: This is true, as 9cm is greater than 10cm.4cm + 10cm > 5cm: This is true, as 14cm is greater than 5cm.5cm + 10cm > 4cm: This is true, as 15cm is greater than 4cm.Since all three inequalities are true, a triangle can be formed with side lengths of 4cm, 5cm, and 10cm. Therefore, there is only one unique triangle that can be drawn with these side lengths.
Which value is a solution to the inequality 9 – y >12?
A. –3
B. –6
C. 8
D. 2
Answer:
B
Step-by-step explanation:
solving the inequality
9 - y > 12 ( subtract 9 from both sides )
- y > 3 ( multiply both sides by - 1 )
Remembering to reverse the inequality symbol when multiplying/ dividing by a negative quantity
y < - 3 ← reverse symbol
Thus y is less than or equal to - 3
The only value from the list which makes this true is - 6 → B
To find a solution to the inequality 9 – y > 12, one must first simplify the inequality to y < -3. After comparing all the options, the correct answer is Option B (– 6), as it is the only value that is less than -3.
Explanation:The question asks to find a value of y that satisfies the inequality 9 – y > 12.
To find the solution, we need to isolate y on one side of the inequality:
Subtract 9 from both sides: 9 – y - 9 > 12 - 9, which simplifies to –y > 3.Multiply both sides by -1. Remember that multiplying or dividing both sides of an inequality by a negative number reverses the inequality sign: y < -3.Now that we have the solution to the inequality, we can evaluate the given options.
Option A: – 3 is not greater than -3 (it is equal).Option B: – 6 is less than -3, so it satisfies the inequality.Option C: 8 is not less than -3.Option D: 2 is not less than -3.Therefore, the correct answer is Option B: – 6, because – 6 < – 3.
I need the answer to 7 not 6 u need 6 to answer 7
Answer:
To determine if fractions are equivalent, you need to get a common denominator. When the denominators are the same, if the numerators are the same, the fractions are equivalent
Step-by-step explanation:
To determine if fractions are equivalent, you need to get a common denominator. When the denominators are the same, if the numerators are the same, the fractions are equivalent