Answer:
x = 4
Step-by-step explanation:
x = 4 is the vertex of the function.
This is a negative quadratic equation and the vertex is the zero of the function. We set (x - 4) equal to 0 and solve.
x - 4 = 0
x = 4
There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway?
Answer: 475 inches
Step-by-step explanation:
if we have 100 tiles and each is 4.75 inches wide
100*4.75=475 inches
Given h(x)=-5x-3h(x)=−5x−3, find h(3)
The value of h(3) will be equal to -18.
What do you mean by domain and ranges of a function ?
The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.
As per the question ;
Given function is ;
h(x) = -5x - 3
Here , we have to find out the value of h(x) for x = 3 , and this can be solved if we put the value of x in the expression x - 3.
We know that a function is defined for domain and range , so we have to give a domain here which is x = 3.
So , for x = 3 ;
h(3) can be calculated as follows ,
=(-5 × 3 ) - 3
Firstly we will solve the term within the parentheses.
= -15 - 3
and now we will add both the negative terms and we will get the value of h (3) which is ,
= -18
Thus , the value of h(3) will be equal to -18.
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NO LINKS!! Please help me with these problems. Part 8a1
Answer:
33. y = -x² - 2x + 3
34. y = x² + 4x + 3
Equation of a parabola is given by y = a(x - h)² + k
where:
(h, k) is the vertex33.
Looking at the graph find the vertex, vertex is at (-1, 4)
Take one point: (1, 0)
Substitute (h, k) = (-1, 4) and (x, y) = (1, 0) into equation to find value of a:
0 = a(1 - (-1))² + 40 = a(2)² + 44a + 4 = 04a = -4a = -1Now equation:
y = a(x - h)² + k
y = -1(x - (-1))² + 4
y = -(x + 1)² + 4
y = -(x² + 2x + 1) + 4
y = -x² - 2x - 1 + 4
y = -x² - 2x + 3
34.
The vertex is at (h, k) = (-2, -1) and the curve passes through (x, y) = (0, 3)
Find value of a:
y = a(x - h)² + k3 = a(0 - (-2))² - 13 + 1 = a(2)²4a = 4a = 1Now equation:
y = a(x - h)² + k
y = 1(x - (-2))² - 1
y = 1(x + 2)² - 1
y = (x² + 4x + 4) - 1
y = x² + 4x + 3
Answer:
[tex]\textsf{33.} \quad y=-x^2-2x+3[/tex]
[tex]\textsf{34.} \quad y = x^2+4x+3[/tex]
Step-by-step explanation:
Question 33Factored form of a quadratic equation:
[tex]\boxed{y=a(x-r_1)(x-r_2)}[/tex]
where:
a is the leading coefficient.r₁ and r₂ are the roots.From inspection of the graph:
r₁ = -3r₂ = 1vertex = (-1, 4)Substitute the roots and the vertex into the formula and solve for [tex]a[/tex]:
[tex]\begin{aligned}y & =a(x-r_1)(x-r_2)\\\implies 4 & = a(-1-(-3))(-1-1)\\4 & = a(2)(-2)\\4 & = -4a\\-4a & = 4\\\dfrac{-4a}{-4} & = \dfrac{4}{-4}\\a & = -1\end{aligned}[/tex]
Substitute the found value of [tex]a[/tex] and the roots into the formula and rewrite in standard form:
[tex]\begin{aligned}y & =a(x-r_1)(x-r_2)\\\implies y & = -1(x-(-3))(x-1)\\y & = -(x+3)(x-1)\\y & = -(x^2+2x-3)\\y & = -x^2-2x+3\end{aligned}[/tex]
Therefore, the equation of the parabola in standard form is:
[tex]y=-x^2-2x+3[/tex]
Question 34Vertex form of a quadratic equation:
[tex]\boxed{y=a(x-h)^2+k}[/tex]
where:
(h, k) is the vertex.a is some constant.From inspection of the graph:
Vertex = (-2, -1) ⇒ h = -2 and k = -1y-intercept = (0, 3)Substitute the vertex and y-intercept into the formula and solve for [tex]a[/tex]:
[tex]\begin{aligned}y & = a(x-h)^2+k\\\implies 3 & = a(0-(-2))^2+(-1)\\3 & = a(0+2)^2-1\\3 & = 4a-1\\3 +1& = 4a-1+1\\4 & = 4a\\4a & = 4\\\dfrac{4a}{4} & = \dfrac{4}{4}\\a & = 1\end{aligned}[/tex]
Substitute the found value of [tex]a[/tex] and the vertex into the formula and rewrite in standard form:
[tex]\begin{aligned}y & = a(x-h)^2+k\\\implies y & = 1(x-(-2))^2+(-1)\\y & = (x+2)^2-1\\y & = (x+2)(x+2)-1\\y & = x^2+4x+4-1\\y & = x^2+4x+3\end{aligned}[/tex]
Therefore, the equation of the parabola in standard form is:
[tex]y & = x^2+4x+3[/tex]
Solve for x. x - 7 = 25
Answer:
x = 32
Step-by-step explanation:
x - 7 = 25
To solve equations, you do the some thing to both sides to isolate x.
After adding 7 to both sides we have:
x = 32
Answer:
x = 32
Step-by-step explanation:
⇒ Isolate the variable x by adding 7 to both sides:
x – 7 + 7 = 25 + 7
⇒ Evaluate the equation to finally get:
x = 32
Hope this helps! :)
A 34 oz bottle of a new soda costs $3.63. What is the unit rate, rounded to the nearest tenth of a cent?
3.63/34= 0.1067647058823...
that means each oz of soda is 10.7 cents
You roll a six-sided die and then draw a card from a standard deck of 52 cards. What is the probability of rolling a 2 and then drawing a diamond?
The answer may be approximated.
A) 12.5%
B) 10%
C) 41.7%
D) 4.2%
Answer:
I think C
Step-by-step explanation:
PLS HELP PUT THE LETTERS NOT NUMBERS 20 POINTS AND BRAINLIEST
a group of friends every time they play a game of marbles, they lose 5 marbles as it’s a big playground and they can’t be bothered to look for marbles that roll away somewhere. every time a game of marbles ends (each game takes 10-15 minutes), they collect all their marbles in a big box, hide it behind a tree, and go for a quick run. every time these kids hide all their marbles in a box behind the tree, a very intelligent squirrel sneaks up to the box, and if there are more than 12 marbles in it, the squirrel steals 3 marbles and runs off. if this group of kids started with 120 marbles in total, how many games can they play in total before they have less than 10 marbles left (given that they lose some marbles each time they play, and a squirrel steals some marbles each time they go for a run).
Answer:
14 gamesStep-by-step explanation:
Initial number of marbles = 120Lost at every game = 5Stolen by a squirrel = 3Left = less than 10Let the number of games be x
then lost marbles = 5xstolen marbles = 3xInequality:
120 - 5x - 3x < 10120 - 8x < 10110 < 8xx > 110/8x > 13 rounded downSince there should be more than 0 left, another inequality for it:
120 - 8x > 0120 > 8x x < 15So 13 < x < 15, which leaves us with 14
What is 18/8 written in simplest form?
2 1/4
Answer:
Actually I think it would be 2 1/3
Step-by-step explanation:
18 goes into 8 twice right, so whole number 2 with 2 left over so that makes it 2 2/6 then 2/2 and 6/2 is 1 and 3 so 2 1/3.
7th Grade Math | I NEED HELP
Xander and Pedro are at an ice cream social. For every scoop of ice cream, Xander uses /8 eighth cup of fruit topping. Pedro uses one more tablespoon of fruit topping than the number of scoops. If Xander and Pedro each use the same amount of fruit topping, how many scoops of ice cream does each use?
9514 1404 393
Answer:
1 scoop
Explanation:
There are 16 tablespoons in 1 cup, so Xander uses (1/8)·(16 tbsp) = 2 tbsp of topping for each scoop of ice cream.
For 1 scoop of ice cream, Pedro will use 1+1 = 2 tbsp of topping.
Hence, both use the same amount of topping (2 tbsp) for 1 scoop of ice cream.
Name the function family that each equation best belongs to.
Use the following answer choices to answer questions 7- 11 (each choice can be used more than once.)
a. Quadratic
b. Absolute Value
c. Linear
d. Exponential
e. Reciprocal
f. Cubic
g. Square Root
h. Cube Root
i. Logarithmic
Answer:
you dont have 7 to 11
Step-by-step explanation:
13.a
15.a
12.i
14.h
8.
Which of the following is not sufficient to
prove a quadrilateral a parallelogram.
a. Show both pairs of opposite sides congruent.
b. Show both pairs of opposite angles congruent.
c. Show both pairs of opposite sides parallel.
d. Show one pair of opposite sides congruent and
the other pair of opposite sides ||-
e. Show the diagonals bisect each other.
Please help with steps??? Question: Find the solution for a system of equations by elimination
2a - 3y=6
5a +7y = -14
guess the number pleaseeee
. Alex received a statement from his bank that listed his checking account total balance as -$42.50. What does this number mean?
The bank owes Alex $42.50.
O Alex wrote checks for $42.50 more than the amount he had in his checking account.
O Alex is still able to write checks up to a total of $42.50.
O The bank deleted $42.50 from Alex's checking account
Answer:
The answer is that Alex wrote checks for 42.50 more than the amount he had.
Step-by-step explanation:
If he has -42.50 that means he owes the bank 42.50 the only way he would owe the bank that much is if he spent 42.50 that he didn't have.
Us
What is the mole fraction of KCl in an
aqueous solution that contains
26.3% KCI (weightweight %)?
Answer:
0.0794%
Subtract the 26.3 from 100 and get the amount for water giving you 73.7
Divide both from their molar masses
26.3/74.55=0.3528
73.7/18.016=4.0908
Add both answers, 0.3528+4.0908=4.4436
Divde the KCl total from the the total moles which gives you your final amswer
0.3528/4.4436=0.0794
Answer: 0.0794
Step-by-step explanation:
3 intersecting lines are shown. A horizontal line contains points R, A, T, S. Another line intersects at point A and also contains D, A, C. Line A B extends away from the center of the other intersecting lines.
Analyze the diagram to answer the questions.
Another way to name AngleSAC would be Angle.
A point on ray AS is .
Line segment A R and Line segment A B create Angle.
Answer:
C or A I think it's correct
There are a total of 64 students in the volleyball and basketball varsity team. The
volleyball team has 10 more students than the basketball team. How many students are in
each team?
37 volleyball students and 27 basketball students
O 27 volleyball students and 37 basketball students
42 volleyball students and 22 basketball students
O 22 volleyball students and 42 basketball students
12+3/5x−8−7/10x=?
Does anybody know what the answer to this question is?
I am really in a hurry. If the answer is true, please tell me. Thank you very much!
(The person who gets it right is going to be the Smartest.)
Answer:
−1 /10 x+4
Step-by-step explanation:
Group like terms
=3/5x-7/10x+12-8
add
-10x+12-8
1/10x=x/10
-x/10+12-8
−1 /10 x+4
If you need more help just ask
What is the factored form of 64g3+8
Answer:8(2g+1)(4g2-2g+1)
Step-by-step explanation:
convert into power notation -125/343
please help! it’s due rn
Answer:
It's 9
Step-by-step explanation:
2x+10=3x+1
-x=-9
x=9
123.8 ÷ 62 ≈ plz help me.
Answer:
1.99677419355
Step-by-step explanation:
Answer:
1.996 rounds to 2
Step-by-step explanation:
A school carnival is having a dunk tank. The graph shows the temperature, t, in Fahrenheit after h hours.
Tank Temperature
Which linear function does the graph represent?
Solve 4/5x-9=3
Need help.
Answer:
x = 15
Step-by-step explanation:
4/5x - 9 = 3
add 9 to both sides
4/5x = 12
multiply both sides with 5/4
(4/5x)5/4 = 12(5/4)
x = 15
Cell phones can weigh as little as 59 grams. How many
kilograms can the cell phone weigh?
An ordinary die with numbers 1 through 6. Imagine such a die is rolled twice in session and the face values of the two rolld are added together. The sum is recorded as an outcome of a single trial if a random experiment. Compute the probability if rhe sum is decided by 5
The probability of getting the sum 5 on the faces of both dice is 1/9.
What is defined as the probability?Probability is a branch of mathematics that deals with numerical descriptions of just how likely an occurrence is to occur or how likely a proposition is to be true.
The probability of an event occurring is a number ranging from zero and 1, where 0 indicates the event's impossibility and 1 indicates certainty.Probability (event) = favourable outcome/ total outcome.
There are 36 possible outcomes when rolling two dice. Keep in mind that now the "sample space" is a set that includes all possible outcomes.
(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)
(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)
(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)
(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)
(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)
(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)
The sample space for getting the sum as 5 on both faces is;
S = {(4,1), (3,2), (2,3), (1,4)}
Thus, the favourable outcome is 4
The total outcome is 36.
P (sum as 5) = favourable outcome for 5/total outcome
P (sum as 5) = 4/36
P (sum as 5) = 1/9
Therefore, the probability that sum is 5 on both the faces of dice is 1/9.
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The main span of Bridge A (2800 feet) is _____ percent shorter than the main span of Bridge B (4500 feet).
The Bridge A' main span is 60% shorter than the span of the Bridge B.
What is defined as the percentage difference?The percentage is the difference between two parameters divided by the average of those values.
It is used to express the distinction between two related data as a percentage. For instance, you can evaluate the price of a computer this year with the cost of a laptop last year.Now, as per the given question;
Bridge A' span = 2800 feet.
Bridge B' span = 4500 feet.
Percentage difference in span length :
[(difference in span) / span of B] × 100%
Difference in span = 4500 - 2800 = 2700
Now, calculate the percentage difference;
Percentage difference = (2700 / 4500) × 100%
Percentage difference = 0.6 × 100% = 60.0 %
Therefore, the main span of the Bridge B is 60% longer than the main span of bridge A.
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Y hat = -29.8 +2.83
Please help me find the interpret slope!
Answer:
The answer is 32.63
Step-by-step explanation:
Answer:
= −26.97
Step-by-step explanation:
Which shows the correct method for solving the equation below? One-third (y minus 9) = 3 A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 6, y = 18. Column 2 is labeled property used with entries distributive property, addition property of equality, multiplication property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 27 = 3, one-third y = 30, y = 10. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 1, one-third y = 4, y = 12. Column 2 is labeled property used with entries distributive property, addition property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 0, y = 0. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.
Answer:
It’s A took test
Step-by-step explanation:
Answer: I'm pretty sure it's A!
Step-by-step explanation: It's on Edge, hope this helped :)