[tex]\text{Equation of parabola in vertex form,}\\\\~~~~~~~~~y = a(x-h)^2 +k\\\\\implies 26 = a(1+2)^2 -1~~~~~~~~;[(x,y) = (1,26)~ \text{and}~ (h,k) = (-2,-1)]\\\\\implies 26 = 9a -1\\\\\implies 9a = 26+1\\\\\implies 9a = 27\\\\\implies a = \dfrac{27} 9 \\\\\implies a = 3\\\\\text{Now,}\\\\~~~~~~~~y = 3(x+2)^2 -1~~~~~~~~~~;[\text{Vertex form.}]\\\\\implies y=3(x^2 +4x +4) -1\\\\\implies y = 3x^2 +12x +12 -1 \\\\\implies y=3x^2 +12x+11~~~~~~~~;[\text{Standard form.}][/tex]
Find the value of x
Answer:
x = 6
Step-by-step explanation:
(-6, 2), (6, 2), (3, 1), (6, 1)
Use the formula pH=log(1/[H^+]) to write an expression for the concentration of hydrogen ions in a liter of a sports drink that has a pH of 2.5.What is the concentration of hydrogen ions?
By using concepts of logarithms and powers, the concentration of hydrogen ions in a volume of a liter of a sports drink with a pH of 2.5.
How to solve a logarithmic formula
Logarithms are trascendental equations, that is, expression that cannot be described in terms of algebraic expressions. In this question we need to solve for the hydrogen ion concentration:
pH = log (1/[H⁺])
[tex]10^{pH} = \frac{1}{[H^{+}]}[/tex]
[tex][H^{+}] = 10^{-pH}[/tex]
[tex][H^{+}] = 10^{-2.5}[/tex]
[H⁺] ≈ 3.163 × 10⁻³
By using concepts of logarithms and powers, the concentration of hydrogen ions in a volume of a liter of a sports drink with a pH of 2.5.
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Write a negative function h(x)
with a y-intercept at "-4" with
one solution
Answer:
[tex]\sf h(x) = y -4[/tex]
Michael has saved $40. He got a summer job mowing lawns, and gets $9 for every lawn he mows. How many lawns does Michael need to mow to save exactly $121, the cost of a concert ticket?
Answer:
9
Step-by-step explanation:
9 × 9 = 81
81 + 40 = 121
121 is the amount of money you want so you just have to mow 9 lawns to get your exact amount of money you need.
Scott and Huong each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Scott spent $91 on 7 daylilies and 1 pot of ivy. Huong spent $105
on 7 daylilies and 3 pots of ivy. What is the cost of one daylily and the cost of one pot of ivy?
Answer:
daylilies - $12; ivy - $7
Step-by-step explanation:
one way to answer this question is by using two equations
first write your let statements
let d be daylilies and let i be ivy
7d + i = 91
7d + 3i = 105
then you can subtract the equations
you get -2i = -14
then divide eveything by -2
i = 7
ivy costs $7
lastly plug this into an equation
7d + 7 = 91
7d = 84
d = 12
daylilies cost $12
Which term best describes the expression 5x4y8 ?
O Polynomial
Binomial
O Monomial
O Trinomial
Answer: Binomial
Step-by-step explanation: There are two variables here, x and y. 5x^4y^8 is a binomial since it involves 2 variables.
Answer:
Monomial
Step-by-step explanation:
A monomial is 1 term. 5x4y8 is one term, and nothing is getting added to it.
hey dogzine could you help me what is 2x9x3x45
Answer:
the correct answer is 2430
Last week, Andre had a balance of -$18 in his savings account This week, the balance is $23. Which equation would show the change, sin his account?
A) -18 + c = 23
B) C + 18 = 23
C) C + -18 = -23
D) -18-C = -23
What is the difference? startfraction 2 x 5 over x squared minus 3 x endfraction minus startfraction 3 x 5 over x cubed minus 9 x endfraction minus startfraction x 1 over x squared minus 9 endfraction startfraction (x 5) (x 2) over x cubed minus 9 x endfraction startfraction (x 5) (x 4) over x cubed minus 9 x endfraction startfraction negative 2 x 11 over x cubed minus 12 x minus 9 endfraction startfraction 3 (x 2) over x squared minus 3 x endfraction
The difference of the expression [tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex] is [tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]
How to determine the difference?The expression is given as:
[tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex]
Factor the denominators of the expressions:
[tex]\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}[/tex]
Apply the difference of two squares to x² - 9
[tex]\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x - 3)(x + 3)}[/tex]
Take LCM
[tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]
Hence, the difference of the expression [tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex] is [tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]
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Answer:
A
Step-by-step explanation:
on Edge 2022
18g + 24 write the expression in two other ways.
State the interval where the median lies.
P.s please try asap, need this done quickly haha
Answer:
see the attachment photo!
Grace is considering purchasing a phone plan. The phone plan
costs $20 per month plus ten cents for each text message sent.
Write and solve an equation to determine how many text
messages were sent if her monthly bill totals $41.10. (5 points - 1
for defining a variable, 1 for correct equation, 1 for work, 1
for answer, 1 for label)
Answer:
211 text messages
Step-by-step explanation:
20+(m•0.10)=41.10
41.1-20=21.1÷0.1=211
What is a probability if the youngest four members of a 15-member choir being randomly selected for a group of four singers
6cm
5cm
20cm
4cm
5cm
4cm
12cm
6cm
4cm
Answer:
SA = 788cm^2
Step-by-step explanation:
pink one:
length- 5
width- 6
height- 20
surface area- 500
purple one:
length- 4
width- 6
height- 12
surface area- 288
total surface area:
500 + 288 = 788
SA = 788cm^2
GOOD LUCK!!!! You'll do amazing <3
The total surface area of the composite figure will be 788 cm².
What is surface area?The total area occupied by an object's surface is referred to as its surface area. Varying 3D forms have different surface areas in geometry, which may be simply estimated using calculations.
The given pink cuboid has :
The length = 5
The width = 6
The height = 20
The surface area of pink cuboid = 500 cm²
The given purple cuboid has :
The length = 6
The width = 4
The height = 12
The surface area of purple cuboid = 288 cm²
Total surface area = The surface area of pink cuboid + The surface area of purple cuboid
Total surface area = 500 + 288 = 788 cm²
SA = 788 cm²
Thus, the total surface area of the composite figure will be 788 cm².
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is 1 cubic unit. What is the volume of the following figure?
All of the cubes are visible
A. 7 cubic units
B.9 cubic units
C.10 cubic units
D.8 cubic units
I need help wit part b
Answer:
4a) $26.5 because if x represents how many feet then the slope would be the price of one glulam beam.
4b) $63,600
Step-by-step explanation:
To find the answer to 4b we need to alter the equation we were given. Since x represents how many feet we buy we put 2400 in place of x.
y = 26.5 x 2,400
and we simply solve from here
y = 63,600
So, 63,600 is how much we would be spending for 2400 feet of beams. Hope this helps!!
in need of help please :)
Answer:
1) 12/13 or 0.9998
2) 27°
3) a. yes b. no c. yes d. no
4) ? a) b) e) d)
5) ? a. true b. true
Step-by-step explanation:
1. cos= adjacent/hypotenuse
2. sin (63°)= cos (27°)
3. sin = opposite/hypotenuse cos= adjacent/hypotenuse tan= opposite/adjacent
4. not so sure about the answer
5. not so sure about the answer
Use the picture below to answer the following questions.
(Angle COD is a Right Angle.) 35
Which Angle is Supplementary to Angle BOC Select an answery
Which angle is Complementary to Angle BoC Select an answery
What is the measure of Angle EOF
What is the measure of Angle AOE
What is the measure of Angle BOF
PLS HELP I NEED TO FINISH
If x= -5 and y=3x-1 then y equals what number?
I need to show work <3
Answer:
y is -16
Step-by-step explanation:
Fory =3x -1
Substitute x= -5
y=3(-5) -1
3(-5) -1= -16
y= -16
Use the quadratic formula to solve for x.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas
Select all the irrational numbers
Answer:
A and E would be your answer
Step-by-step explanation:
Find the number that makes the ratio equivalent to 42:35.
Answer:
6
Step-by-step explanation:
35 divisible by 5, (5*7=35)
42 divisible by 7 (7*6=42)
Answer:
[tex]6:5[/tex]
Step-by-step explanation:
[tex]\dfrac{42}{35}= \dfrac{6 \times 7}{5 \times 7} = \dfrac 65[/tex]
Carla worked 13 1/4 hours making $9.75 per hour. Daniel earned $10.50 per hour and worked 11 3/4 hours. What was the total amount of money earned?
Answer:
$252.5625
Step-by-step explanation:
9.75×53/4+10.50×47/4
129.1875+123.375
=252.5625
hope it helpsss
can you mark me as the brainliest?
а(-9, -5), b(6, 5), C(-2, 5)
Answer:
See below
Step-by-step explanation:
Equation: y = [tex]-\frac{2x^2}{21} + \frac{8x}{21} + \frac{43}{7}[/tex]
Slope-intercept form: [tex]y = \frac{2}{3} x + 1[/tex]
Point slope form: [tex]y + 5 = \frac{10}{7} * (x+9)[/tex]
Use the following data set to answer question 8:
13, 19, 7, 12, 21, 18, 15 8.
Predict how the mean will change if the 7 is deleted from the data set. Calculate the new mean. Round to the nearest tenth.
Answer:
15.1 to nearest tenth.
Step-by-step explanation:
The 7 is the lowest number so the mean would increase if taken away.
New mean = (8 + 12 + 13 + 15 + 18 + 19+21) / 7
= 106 / 7
= 15.14
Simplify the following expression
-2x^2 + 4 + 5x^2 - 11 - 12x
Show the steps on how to solve this
Answer:
3x² - 12x - 7
Step-by-step explanation:
Subtract the numberS
-2x²+4+5x²-11 - 12x
-2x²-7+5x² - 12x
Combine like terms
-2x²-7+5x² - 12x
3x²-7-12x
Rearrange terms
3x²-7-12x
3x²-12x-7
Solution
3x² - 12x - 7
Answer:
3x² - 12x - 7
Step-by-step explanation:
-2x² + 4 + 5x² - 11 - 12x3x² - 12x - 7Which numbers are prime numbers?
5
14
13
4
9
none of the above
Answer:
5 and 13 are prime numbers
Step-by-step explanation:
Answer: 5, 13,
Step-by-step explanation:
If the value of a in the quadratic function f(x) = ax2 + bx + c is 1/2, the function will_______. A) open down and have a maximum B) open up and have a maximum C) open down and have a minimum D) open up and have a minimum
Answer:
B
Step-by-step explanation:
Since A is a positive number then the function must open up and since it is positive it also must have a maximum
Answer:
B
Step-by-step explanation:
it's the one that makes sense in my opinion if it's not correct I'm sorry :(
The algebraic equation for a linear pattern is 3x + 4. Use a table of values to
show the first 5 terms of the pattern.
Answer:
explanation and answer
What is the sum of the finite arithmetic
series?
29 + 32 + 35 + 38 + 41 + ... + 59
The sum of the finite arithmetic series of 26 + 29 + 32 + 35 + 38 + 41 + 44 is 245. Arithmetic series is a sequence of number such that the difference between any term and the previous term is a constant number. When we sum a finite number of terms in the arithmetic series, we get the finite arithmetic series.
