Answers
Answer:
k = 3Step-by-step explanation:
The vertex is (d, e)
for quadratic function: f(x) = ax² + bx + c we have:
d = -b/a and d = (x₁ + x₂)/2
a = 1, b = k, x₁ = -4, x₂=-2
so:
d = -b/a = -k/1 = -k and d = (x₁ + x₂)/2 = (-4-2)/2 = -3
-k = -3
k = 3
Related Questions
HELPPL Enter the solution from least to greatest (x-2)(3x+3)=0
Answers
Answer:
x = -1, 2
Step-by-step explanation:
Step 1: Write out equation
(x - 2)(3x + 3) = 0
Step 2: Solve each individual root
x - 2 = 0
x = 2
3x + 3 = 0
3x = -3
x = -1
Step 3: Arrange from least to greatest
-1 < 2
So x = -1, 2
Answer:
x = -1 x = 2
Step-by-step explanation:
(x-2)(3x+3)=0
Using the zero product property
x-2 =0 3x+3 =0
x=2 3x = -3
x = -3/3
x = -1
I need more help because I still do NOT understand this
Answers
Answer:
f-9=12 Answer=20
24=g+14 Answer=10
Step-by-step explanation:
take the numbers you already have, let's start with the first equation:
f-9=12
find out what they are when you put them together
12+9=f
f=20
Second equation:
24=g+14
do the same, except subtract this time
24-14=g
g=10
Hope this helps (:
Twice a number subtracted from four times that same number added to fifteen
Answers
plz help ASAP !! will mark u brainlist
Answers
Answer:
D. The 4th choice.
Step-by-step explanation:
We can see from the graph that the point (-2, -5) is excluded from the line since there is there an open circle.
The domain is all real numbers except -2.
The range is all real numbers except -5.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
What is the solution set of the following equation? 4\5^2= 2x- 4\5
Answers
Answer:
x = 18/25
Step-by-step explanation:
(4/5)² = 2x - 4/5
16/25 = 2x - 4/5
16/25 = 2x - 20/25
36/25 = 2x
x = 18/25
Answer:
x= 18/25
Step-by-step explanation:
1. The cards bearing letters of word “MATHEMATICS” are placed in a bag. Find the probability of getting: (a) any vowel. (b) any consonant. (c) the letter ‘m’. 2. 8 added to twice a number gives 40. Find the number
Answers
Answer:
1) 30%, 50%, 10%
2) x = 24
Step-by-step explanation:
Hey there!
1) "MATHMATICS"
a) Vowels - a, e, i, o, u
This is 3/10 of the letters meaning pulling a vowel is 30%.
b) Constants - B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, X, Z
Well there are 5 constants in mathematics so the percent is 50%.
c) Letter "m"
The letter m is 1/10 meaning pulling the letter m is a 10%.
2) 8 added to twice a number gives 40. Find the number
Well lets set u an equation,
8 + x + 8 = 40
16 + x = 40
-16
x = 24
Hope this helps :)
Answer:
In bold.
Step-by-step explanation:
1.
There are a total of 11 letters in the bag including 4 vowels, 7 consonants.
The letter m appears twice in mathematics.
(a) Probability(getting a vowel) = 4/11.
(b) Probability(getting a consonant) = 7/11.
(c) Probability(getting a letter m) = 2/11.
2.
Let the number be n, then:
8 + 2n = 40
2n = 32
n = 16.
HELP PLEASE The value of a stock can be modeled by this equation. V = 23n + 42; where V is the value, in dollars, and n represents the number of months since purchase. Which statements correctly interpret the slope of the line? A. The slope of the line is 42. This means that the value of the stock increases $42 for each additional month since purchase. B. The slope of the line is 42. This means that the initial value of the stock was $42. C. The slope of the line is 23. This means that the initial value of the stock was $23. D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.
Answers
Answer:
D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.
Step-by-step explanation:
In the basic equation y = mx + b, m is the slope. In this situation, 23 is the slope because it is the coefficient.
42 is not the slope because it is the y-intercept.
D is the correct answer because the slope is 23, which means in this situation that the stock's value increases by $23 for each additional month after the purchase.
Answer:
D.
Step-by-step explanation:
The slope is the coefficient of n ( the month) which is 23.
This means the stock increases each month by a factor of 23.
-5-(-11)-(-11).
what’s the answer
Answers
Answer: [tex]17[/tex]
Subtract
[tex]-5-(-11)=6[/tex]
Subtract
[tex]6-(-11)=17[/tex]
Answer:
[tex]\Large \boxed{17}[/tex]
Step-by-step explanation:
-5-(-11)-(-11)
=17
This is one way to do this;
1. => (-5−-11)−(0−11)
=> 6−(0−11)
=>6−-11
=17
Another way to do this;
First remove the parentheses.
-5+11+11
And than simplify.
6+11
=17
Answer;17
if x and y vary directly and x= 60 when y=5, what is the value of y when x=36?
Answers
Answer:
12
Step-by-step explanation:
Use the flowchart to determine whether the opposites of the numbers
in questions 1 through 4 are positive or negative. Then give the
opposite of each number.
1. -2.7
2. 2/7
3. 3 1/8
4. – 0.9
Answers
Which best describes how to determine the decimal number that is modeled? 7 of 100 parts have been shaded, and 7 hundredths is written as 0.07 7 of 10 parts have been shaded, and 7 tenths is written as 0.7 7 of 100 parts have been shaded, and 7 hundredths is written as 0.7 7 of 10 parts have been shaded, and 7 tenths is written as 0.07
Answers
Answer:
7 of 100 parts have been shaded, and 7 hundredths is written as 0.07
Step-by-step explanation:
Note that we have a grid of 100 squares and 7 of those squares are shaded. We can represent the shaded portion by saying 7/100 which is equivalent to .07.
With this information, we can say 7 out of 100 is shaded and is representative of 7 hundredths.
Note that each digit after the decimal is a multiple of (1/10). We can express this as (1/10)^n where n is the digit place after the decimal.
In this case, we have 7, two digits after the decimal so it will be equivalent to 7 * (1/10)^2 = 7 * (1/100) = 7/100.
Cheers.
Sales Rise from 2000 per week to 2500 per week, calculate the percentage change..
Answers
Answer:
[tex]\huge\boxed{25\%}[/tex]
Step-by-step explanation:
Previous Price = 2000
Current = 2500
Increase:
=> 2500 - 2000
=> 500
%age change:
=> [tex]\frac{500}{2000} * 100 \%[/tex]
=> ( 5 * 5 ) %
=> 25%
Answer:
Percentage change = 25%Step-by-step explanation:
To find the percentage change we use the formula
[tex]Percentage \: \: change \: \: = \frac{change}{original \: \: quantity} \times 100[/tex]To find the change subtract the lesser one from the larger one
Original price = 2000
Final price = 2500
Change = 2500 - 2000 = 500
So the percentage change is
[tex] \frac{500}{2000} \times 100[/tex][tex] = \frac{1}{4} \times 100[/tex]We have the final answer
Percentage change = 25%Hope this helps you
Omar uses the factor theorem to determine whether x−3 is a factor of 4x4−12x2−18x−162. How does he proceed to the correct answer? A-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 108 and concludes that x−3 is a factor. B-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 108 and concludes that x−3 is not a factor. C-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. D-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.
Answers
Answer:
C- Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.
Step-by-step explanation:
Factor Theorem can be defined as a method or theorem that is used in mathematics to simplify polynomials. It is used to confirm if a particular root is the real root of the polynomial.
Factor Theorem states that:
a) If p(x) is a polynomial of degree of n is greater than 1 (n > 1) and a is any real number, then
b) x – a is a factor of p(x)
if p(a) = 0, x – a is a factor of p(x).
In the question above, we are told that:
Omar uses the factor theorem to determine whether x−3 is a factor of 4x⁴ −12x² − 18x − 162.
Using Factor Theorem,
b) x – a is a factor of p(x)
if p(a) = 0, x – a is a factor of p(x).
x - 3 = 0, x = 3
p(x) = 4x⁴ −12x² − 18x − 162 = 0
p(3) = 4(3)⁴ - 12(3)² - 18(3) - 162 = 0
p(3) = 4(81) - 12(9) - 18(3) - 162 = 0
p(3) = 324 - 108 - 54 - 162 = 0
p(3) = 324 - 324 = 0
p(3) = 0 = 0
Hence, since p(3) = 0, x - 3 is a factor of polynomial 4x⁴ −12x² − 18x − 162 .
Therefore,Option C- "Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. " is the correct answer.
Answer:
Answer is D on edge2020
Step-by-step explanation:
Omar should factor out a negative from one of the groups so the binomials will be the same.
Which function is a quadratic function? A. c(x) = 6x + 3x3 B. d(x) = x – 8x4 C. p(x) = –5x – x2 D. k(x) = 2x2 + 9x4
Answers
This is the same as p(x) = -x^2-5x
The degree is the largest exponent to determine what kind of polynomial we're dealing with.
For choice C, the degree is 2, so we have a quadratic here.
-----------
Extra info:
Choice A is cubic because the largest exponent is 3 (degree = 3)Choice B is a quartic of degree 4Choice D is the same story as choice BJulie has 12 gummy worms on her plate. She also has some gummy worms in a bag. All together, she has 36 gummy worms. The letter g stands for the number of gummy worms in the bag. Which equation can you use to find g?
Answers
Answer:
12 + g = 36
Step-by-step explanation:
If you work out the Two-Step Equation, you will get the amount for g.
Please hurry 12 people fit comfortably in a 5 by 5 feet area. Use this value to estimate the size of a crowd that is 10 feet deep on ONE side of the street along a 1 mile section of a parade route. 25344 people 25344 people 52800 people 52800 people 110000 people 110000 people 20 people 20 people
Answers
hope this helps! Its the answer key to something almost exact
The size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
12 people fit comfortably in a 5 by 5 feet area.
Let x be the size of a crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route.
The fractions:
12/25 = x/(5280×10)
After cross multiplication:
25x = 633600
x = 633600/25
x = 25344
Thus, the size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.
Learn more about the fraction here:
brainly.com/question/1301963
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the compound interest of a sum of money for 1 year and 2 years are rs 450 and rs 945 respectively. find the rate of interest compounded yearly and he sum.
Answers
Answer:
The answer is below
Step-by-step explanation:
The compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where A is the final amount, p is the principal (initial amount), r is the rate, t is the number of period and n is the number of times it was compounded per period.
Given that:
The interest is compounded yearly, i.e n = 1, for 1 year, t = 1, the compound interest is Rs 450 i.e A = 450. Therefore:
[tex]450=P(1+\frac{r}{1} )^{1*1}=P(1+r)\\450=P(1+r).\ .\ .\ (1)[/tex]
For 2 year, t = 2, the compound interest is Rs 945 i.e A = 945. Therefore:
[tex]945=P(1+\frac{r}{1} )^{1*2}=P(1+r)^2\\945=P(1+r)^2.\ .\ .\ (2)[/tex]
Dividing equation 2 by equation 1 gives:
2.1 = 1 + r
r = 2.1 - 1 = 1.1
r = 1.1
Put r = 1.1 in 450 = P(1 + r)
450 = P(1 + 1.1)
450 = 1.11P
P = 405.4
Therefore the rate is 1.1 = 110% and P = Rs 405.4
Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100. 1.25x + 1.49 = 100 What error did Barbara make in writing the equation? Barbara’s equation did not consider the number of bottles of water. Barbara’s equation did not consider the number of bottles of iced tea. Barbara’s equation did not use the correct price for the bottles of iced tea. Barbara's equation did not use the correct total for sales.
Answers
Answer:
B
Step-by-step explanation:
Just took the quiz!
The solution is : B = Barbara’s equation did not consider the number of bottles of iced tea.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle.
Let the water bottles she needs to sell be = x
Let the iced tea she needs to sell be = y
As she wants $100, she has to sell the following numbers of drinks.
1.25x + 1.49y = 100
But, Barbara wrote an equation
1.25x + 1.49 = 100
She did not put a variable with 1.49, that will depict the number of iced teas she needs to sell.
Hence, option B is correct.
To learn more on equation click:
brainly.com/question/24169758
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How many metal doorstops 15 cm by 10 cm by 5 cm can be cast from a spherical ball of metal of diameter 400 mm?
Answers
Answer:
[tex]\approx \bold{44\ or\ 45}[/tex]
Step-by-step explanation:
Given
Diameter of spherical metal ball = 400 mm = 40 cm
Radius of spherical metal ball = 20 cm
Volume of a sphere is given as:
[tex]V_{Sphere} = \dfrac{4}{3}\pi r^3[/tex]
[tex]\Rightarrow \dfrac{4}3 \times 3.14 \times 20 ^3 = 33493.33 \ cm^3[/tex]
Dimensions of metal doorstops = 15 cm by 10 cm by 5 cm
It is of cuboid shape.
Volume of a cuboid is given as:
[tex]V_{Cuboid} = l \times b\times h = 15 \times 10 \times 5 = 750\ cm^3[/tex]
Number of such doorsteps that can be made from the metal ball is equal to Volume of metal ball divided by volume of metal doorstep.
[tex]\dfrac{33493.33}{750} \approx \bold{44\ or\ 45}[/tex]
There are 15 gummy bears. If they are evenly divided between 7 people, how many gummy bears does each person get? Choose the correct answer from the choices below.
Answers
Answer:
2.14285714286 or 2 1/7 gummy bears
Step-by-step explanation:
15/7=2.14285714286 or 2 1/7
Answer:
Hello! Answer below, with an picture too :)
Step-by-step explanation:
:::::: [tex]2[/tex] [tex]1/7[/tex]
The answer is 2 1/7 or 2 R 1
Steps:
So we do 15 divided by 7.
[tex]\sqrt[7]{15}[/tex]
***********************************
0 2
....................
7 ⟌ 1 5
- 0
.............
1 5
- 1 4
.............
1
Steps below in the picture, too!
By:✨RobloxYt✨
(Picture attached)
*ANSWER PLEASE, DIFFICULT QUESTION* A toy rocket is a composite of a cylindrical body with a cone for a nose. Find the volume of the rocket if the radius of the base is 1.25 inches, the height of the tip is 3 inches, and the height of the entire rocket is 15 inches. a.) 63.8 in3 b.) 56.3 in3 c.) 176.6 in3 d.) 58.9 in3
Answers
Answer:
a) 63.8 in³
Step-by-step explanation:
so the cylinder is 12 inches high
πr²h = π(1.25)²(12) = 58.90 in³
cone is 3 inches high
1/3πr²h = = 1/3π(1.25)²(3) = 4.91 in³
58.90 + 4.91 = 63.81 in³
Answer:
63.8 in
Step-by-step explanation:
the formula of te volume of the cone is : πr²h/3
the height of te cone is the height of the tip
V=π(1.25)² * 3/3
V1=4.91( rounded to the nearest hundredth)
volume of the cylinder =πr²h ( the height of cylinder=25-3=23)
V2=π(1.25)²*12
V2=58.90
V1+V2=4.91 +58.90=63.81 ≅63.8
from the numbers below
Answers
If a 2.2-kg ball is thrown with a velocity of 10m/s what is its KE
Answers
Answer:
110 joulesStep-by-step explanation:
[tex]Mass = 2.2kg\\Velocity = 10m/s \\K.E = \frac{1}{2} mv^2\\K.E = \frac{1}{2} \times 2.2 \times 10^2\\K.E = \frac{1}{2} \times 220\\K.E = \frac{220}{2} \\K.E = 110 joules[/tex]
Answer:
The answer is 110 JoulesStep-by-step explanation:
Kinetic energy ( KE) of an object is given by
[tex]KE = \frac{1}{2} m {v}^{2} [/tex]
where
m is the mass
v is the velocity
From the question
m = 2.2 kg
v = 10 m/s
Substitute these values into the above formula
That's
[tex]KE = \frac{1}{2} \times 2.2 \times {10}^{2} [/tex]
[tex]KE = 1.1 \times 10[/tex]
We have the final answer as
Kinetic energy = 110 JoulesHope this helps you
The length of a rectangle is 6 meters less than twice its width. If the area of the rectangle is 308 m2, what are its dimensions?
Answers
Answer:
length = 22cmwidth = 14cmStep-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
From the question
Area = 308 m²
The length of a rectangle is 6 meters less than twice its width is written as
l = 2w - 6
Substitute this into the above formula and solve for the width
We have
308 = (2w - 6)w
2w² - 6w = 308
2w² - 6w - 308 = 0
Divide both sides by 2
We have
w² - 3w - 154 = 0
( w + 11)( w - 14) = 0
w + 11 = 0 w - 14 = 0
w = - 11 w = 14
Since the width cannot be negative
w = 14
Substitute w = 14 into l = 2w - 6
That's
l = 14(2) - 6
l = 28 - 6
l = 22
Therefore
length = 22cm
width = 14cm
Hope this helps you
What is the value of x? 4/5 times 1/10 =3/10
Answers
Answer:
D) 1/2
Step-by-step explanation:
4/5x-1/10=3/10
4/5x=3/10+1/10
4/5x=4/10
4/5x=2/5
x=2/5÷4/5
x=2/5*5/4
x=10/20
x=1/2
What is negative 1/2 divided by 4/5
Answers
Answer:
-0.625
Step-by-step explanation:
- 0.5 / .8 = -0.625
-0.625 x .8 = - 0.5
Answer:
- 5/8
Step-by-step explanation:
What is negative 1/2 divided by 4/5
-1/2 ÷ 4/5 =-1/2 × 5/4 =- 1×5/2×4 =-5/8what would the vairable be in this equation 1÷k=2
Answers
Answer:
yes
Step-by-step explanation:
Find the Area of a square with length(x + 7) and width (x + 7)
Answers
Answer:
x^2 +14x+49
Step-by-step explanation:
Area = length * width
= ( x+7) * ( x+7)
FOIL
first: x^2
outer: 7x
inner: 7x
last: 7*7 = 49
Add them together
x^2 +7x+7x + 49
Combine like terms
x^2 +14x+49
PLEASE help me solve this problem
Answers
Answer:
x = 7.5
Step-by-step explanation:
We see that in order to find x, we need to use tangent, which is opposite over adjacent.
Step 1: Set up equation
tan37° = x/10
Step 2: Multiply 10 on both sides
10tan37° = x
Step 3: Evaluate
x = 7.53554
Step 4: Round
x = 7.5
Answer:
137
Step-by-step explanation:
the way to get it is that part that looks like a square inside the triangle is 90 so when you finish getting all the sides the answer will give you 137
Is 7/8 greater than one
Answers
Reason: Any number divided by a number bigger than it will always have a result less than 1.
Answer:
No, because 7/8=0.875, which is not greater than 1.