Answer: [tex]f(x) = 5(x+1)^{2} - 13[/tex]
Vertex = (-1, -13)
Step-by-step explanation:
[tex]f(x) = 5x^{2} + 10x - 8\\f(x) = 5(x^{2}+2x)-8\\f(x) = 5(x^{2}+2x+1-1)-8\\f(x) = 5((x+1)^{2}-1)-8\\f(x) = 5(x+1)^{2}-5-8\\f(x) = 5(x+1)^{2}-13[/tex]
Vertex = (h, k) = (-1, -13)
If Amari had 15 apples and 14 got taken away how many would there be??
Answer:
15-14=1
Step-by-step explanation:
1 apple left
Answer:
1 apple
Step-by-step explanation:
15-14=1
Hope the helps!
When a number is subtracted from -3 2/3 , the result is -2 1/6. What is the number?
A.5 5/6
B. 1 1/2
C. - 1 !/2
D. -5 5/6
Answer:
D. [tex]-5 \frac{5}{6}[/tex]
Step-by-step explanation:
Add the values:
[tex]-3\frac{2}{3}+\left(-2\right)\frac{1}{6}[/tex]
[tex]=-\frac{11}{3}+\left(-2\right)\frac{1}{6}[/tex]
[tex]=-\frac{11}{3}-\frac{1}{3}[/tex]
[tex]-5 \frac{5}{6}[/tex]
Answer:
C. - 1 ½
Step-by-step explanation:
-3⅔ - x = - 2⅙
x = -3⅔ + 2⅙
x = -11/3 + 13/6
x = -22/6 + 13/6
x = -9/6
x = -1 ½
Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
Answer:
1/4
Step-by-step explanation:
4 skittles and one being green
Answer:
4/5
Step-by-step explanation:
According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.
The price of a CD decreased from $15 to $10. What is the percent of decrease
Answer:
Step-by-step explanation:
amount of decrease is $15 - $10 = $5
as a percentage of the original price
100($5/$15) = 33⅓ %
Guys this is another one. But it’s a different one
Complete the statement to describe how to convert ounces to pound to find the weight in pounds blank the number of ounces by the unit rate ounces per pound
Answer: you would multiply and the other one is 1536
Step-by-step explanation:
Have nice night
#3) They say they have 50 total coins together made up of dimes and quarters. They also say that they have $7.25 total. How many quarters do they have?
A. 10
B.15.
C.20.
D.25
Answer:
B: 15 quarters
Step-by-step explanation:
Step 1: Setup Coin Value and Coin Total Equation:
Coin Value Equation → 0.1d + 0.25q = $7.25 where d = dimes and q = quarters
Coin Total Equation → d + q = 50
Step 2: Rearrange Coin Total Equation in terms of dimes (d)
d = 50 - q ← Revised Coin Total Equation
Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:
0.1(50 - q) + 0.25q = $7.25
0.1(50) - 0.1(q) + 0.25q = $7.25
5 - 0.1q + 0.25q = $7.25
5 + (0.25 - 0.1)q = $7.25
5 + 0.15q = $7.25
Step 4: Subtract 5 from each side of the equation to isolate q
5 - 5 + 0.15q = $7.25 - 5
0.15q = 2.25
Step 5: Divide each side of the equation by 0.15 to isolate q
0.15q
0.15
=
2.25
0.15
q = 15
Step 6: Using our value for q, Solve for d using our Coin Total Equation:
d + 15 = 50
Subtracting 15 from both sides, we get d + 15 - 15 = 50 - 15
d = 35
Summarizing our word problem, we see that 15 quarters and 35 dimes adds up to $7.25
In solving the following system of equations, how many equations do you need to multiply in order to use the method of elimination?
Equation 1: −5x−20y=−15 Equation 2: 2x + 8y = 6
A. Two
B. None
C. One
Give the solution to the system above
A. No solution
B. (3, 7)
C. IMS
D. ( -2, 5)
Answer:
i think its a and d
Step-by-step explanation:
Hello, would be very nice if someone could help me ! :)
A finite geometric series is the sum of a sequence of numbers. Take the sequence
1, 2, 4, 8, ..., for example. Notice that each number is twice the value of the
previous number. So, a number in the sequence can be represented by the
function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th
number in the sequence is ∑^5 n-1 2^n-1.
This equation can also be written as S5 = 2^0+2^1+ 2^2+ 2^3+ 2^4. If we multiply this equation by 2. the equation becomes 2(S5) = 2^1+ 2^2+ 2^3+ 2^4+ 2^5
What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the
form ∑^a n-1 b^n-1 ?
Answer:
Step-by-step explanation:
2S₅ - S₅ = 2⁵ - 2⁰
S₅ = 2⁵ - 1
Sₙ = (bᵃ - 1) / (b - 1)
Help.............???!!!
Answer:
Its either A or C
Step-by-step explanation:
a positive integer is 9 more than 14 times another. their product is 12035. Find the two integers
Answer:
415 and 29
Step-by-step explanation:
x = 14y+9
xy = 12035
(14y+9)y = 12035
y = -415/14 and 29 but it's a positive integer
so y = 29
x = 14(29)+9
x = 415
A factory employs 1274 people across three departments. The second department employs 70 more people than the first department, and the third department employs 84 more people than the second department. How many people work in each department?
50 POINTS + BRAINILEST TO CORRECT ANSWER <3
also please show step by step if you can :D
Answer:
350
Step-by-step explanation:
Write out the equation
d + d + 70 + d + 154 = 1274
Simplify
3d + 224 = 1274
Solve
3d = 1050
d = 1050 / 3
d = 350
Answer:
350
No probelm
can someone please tell me these answers
Answer:
1.
m= 1; b= 4
m= -4; b= 2
m= 1; b= 0
m= 3/2; b= -9
m= -7; b= 4/5
2. C
Step-by-step explanation:
Question 1.
Your slope equation is
y=mx+b
The number before the x is your slope. The number added or subtracted after is your b.
Question 2.
Slope is rise over run.
I need help with this plz
Answer:Mmm
Step-by-step explanation:
I am doing the work I will thell you the answer
Owen and Arianna are helping their friend Benjamin move. Owen can move one box for every two boxes that Arianna can move. If Owen moves twelve boxes, how many boxes can Arianna move?
Answer:
Ariana can move 24 boxes. Hope this helps.
Pls give brainliest. :D
G is Geometric mean how?
1 A polynomial expression of degree three is shown below.
8x3 + 125
Which expression represents the correct factorization of the polynomial?
A (2x + 5)(4x2 + 10x + 25)
B (2x + 5)(4x2 + 10x - 25)
C (2x + 5)(4x2 - 10x + 25)
D (4x + 25)(2x2 - 10x + 5)
Answer:
D şıkkı iyi dersler hadi
Answer:
C: [tex](2x+5)(4x^2-10x+25)[/tex]
Step-by-step explanation:
First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, [tex]8x^3 = (2x)^3[/tex] and [tex]125=5^3[/tex].
Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so [tex]x^3+a^3=(x+a)(...)[/tex] and [tex]x^3-a^3 = (x-a)(...)[/tex] and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: [tex]x^3+a^3=(x+a)(x^2-ax+a^2)[/tex] while in the difference of cubes you already used a minus, so everything else goes plus: [tex]x^3-a^3=(x-a)(x^2+ax+a^2)[/tex]
Or you commit the two formulas to memory.
A mailing carton in the shape of a cube has a volume of 684 cubic inches. What is the length of one side of the carton to the nearest tenth of an inch?
Check the picture below.
Need an answer here please
Answer:
Option 4: A ║B
Step-by-step explanation:
Given the following statements:
[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]
[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex]
We can apply the Lines Perpendicular to a Transversal Theorem, which states that if two lines intersect and are perpendicular to that same transversal, then those two lines are parallel.
In the given conditional statement, [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex], line [tex]\displaystyle\mathsf{\overline{X}}[/tex] is the transversal that cuts through both lines [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex].
Therefore, lines [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex] are perpendicular to line [tex]\displaystyle\mathsf{\overline{X}}[/tex]. Hence, by the Lines Perpendicular to a Transversal Theorem, [tex]\displaystyle\mathsf{\overline{A}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{B}}[/tex].
Which expression is equal to 6/7?
Answer:
Option C
The answer is 6 ÷ 7
Step-by-step explanation:
6/7 which means 6 divided by 7 i.e., 6 ÷ 7
Thus, The answer is 6 ÷ 7
-TheUnknownScientist 72
how many times bigger is 3,136 than 486 written as a percentage
Answer:
Step-by-step explanation:
Solution for 468 is what percent of 486:
468:486*100 =
(468*100):486 =
46800:486 = 96.3
Now we have: 468 is what percent of 486 = 96.3
Question: 468 is what percent of 486?
Percentage solution with steps:
Step 1: We make the assumption that 486 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=486$.
Step 4: In the same vein, $x\%=468$.
Step 5: This gives us a pair of simple equations:
$100\%=486(1)$.
$x\%=468(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$frac{100%}{x%}=frac{486}{468}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$frac{x%}{100%}=\frac{468}{486}$
$Rightarrow x=96.3%$
Therefore, $468$ is $96.3%$ of $486$.
last 2 tutor find it wrong pls help me
Answer:
g(x) = 4x² -x +64
Step-by-step explanation:
The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.
For some constant c1, the integral in the region x ≤ 4 is ...
∫f(x)dx = (4x² -x +c1) +C = g(x) +C
The integral in the region x ≥ 4 is given as ...
∫f(x)dx = 31x +C
Evaluated at x=4, we must get the same value from either expression:
4(4²) -4 +c1 +C = 31(4) +C
60 +c1 = 124
c1 = 64
__
In order to make the integral continuous at x=4, we must have ...
g(x) = 4x² -x +64
please help me im giving brainliest
Step-by-step explanation:
49² + 98 + 1 compared to a² + 2ab + b² means that
a = 49
b = 1
as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1
so, we have actuality
(49 + 1)² = 50² = 2500
Answer:
49² + 98 + 1 compared to a² + 2ab + b² means that
a = 49
b = 1
as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1
so, we have actuality
(49 + 1)² = 50² = 2500
Step-by-step explanation:
What is the slope of the line?
Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
If we take points [tex](1,1)[/tex] and [tex](4,0)[/tex] from the line, we can determine the slope:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{4-1}=\frac{-1}{3}=-\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex]
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answers:
[tex]L(1,0) \to L \ ' \ (4.5,0)\\\\J(-1,-1) \to J \ ' \ (-4.5, 4.5)\\\\K(-1,1) \to K \ ' \ (-4.5,4.5)\\\\[/tex]
===================================
Explanation:
We multiply each coordinate of each point by the scale factor 4.5
For example, point L(1,0) moves to L ' (4.5, 0) since 4.5*1 = 4.5
This trick only works because the origin is the center of dilation. If the center is some other point, then you'd have to translate first, dilate, then translate back again.
Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x
Answer:
D. -2x^3 - 14x^2 + 22x
Step-by-step explanation:
1) Remove parentheses.
3x³ - 10x² + 13x - 5x³ - 4x² + 9x
2) Collect like terms.
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)
3) Simplify.
-2x³ - 14x² + 22x
Lucy wants to bake a circular apple pie with a radius of 5 in. What is the minimum circumference of the pie pan?
a
Please be accurate of your answer and explain.
Answer: 6 in.
Step-by-step explanation:
PLEASE PLEASE PLEASE SOMEONE HELP ME PLEASE I BEG U PLEASE PLEASE !!!!!!!
Answer:
Right ear a.d. = auris dextra
Step-by-step explanation:
mathematics may not have been the best place to ask this question.
Answer:
ad meaning right ear so C
Step-by-step explanation:
Kyla earns a commission. She makes 2.5% of the amount she sells. Last week, she sold
$3,500 worth of furniture. How much was her commission?
Answer:
$87.50
Step-by-step explanation:
GUY HELP DID CLICK OF THE RIGHT ONE ?
Answer:
c
Step-by-step explanation:
it just is that's the right book
MATHS QUESTIONS PLEASE SOLVE
1. 121 Divided by 11 is
11
10
19
18
2. 60 Times of 8 Equals to
480
300
250
400
3. Find the Missing Term in Multiples of 6 : 6, 12, 18, 24, _, 36, 42, _ 54, 60.
32, 45
30, 48
24, 40
25, 49
4. What is the Next Prime Number after 7 ?
13
12
14
11
5. The Product of 131 × 0 × 300 × 4
11
0
46
45
6. Solve 3 + 6 × ( 5 + 4) ÷ 3 - 7
11
16
14
15
7. Solve 23 + 3 ÷ 3
24
25
26
27
8. What is 6% Equals to
0.06
0.6
0.006
0.0006
9. How Many Years are there in a Decade?
5 years
10 years
15 years
20 years
10. How Many Months Make a Century?
12
120
1200
12000