Answer:
[tex] x_{1} = \frac{ - \sqrt{89 + 3} }{4} [/tex]
[tex] x_{2} = \frac{ \sqrt{89 + 3} }{4} [/tex]
Step-by-step explanation:
1) Move the variable to the left
2) Divide both sides
3) Add the same value to both sides
4) Add 9/16 to the expression
5) Add 9/16 to the right-hand side
6) Recalculate then solve
which is a line of symmetry
Answer:
is there a pic?
Step-by-step explanation:
we are able to see
What is Decrease 20g by 10% please?
Answer:
18
Step-by-step explanation:
c. The height h of a diver over the water is modeled by the equation h = 5t^2 + 8t + 3 where h denotes the height of the diver over the water (in meters) and t is time measured in seconds. Rewrite this equation, finding t in terms of h.
Answer:
steps below
Step-by-step explanation:
h = 5t² + 8t + 3
5t² + 8t + (3-h) = 0
** ax²+bx+c=0 x= (-b±√b²-4ac)/2a
[tex]t=\frac{-8+\sqrt{64-4*5*(3-h)} }{10\\}\\ =\frac{-8+\sqrt{4+20h} }{10}\\ = -0.8 +0.2* \sqrt{1+5h}[/tex] ..... h≥3 to make t≥0
Please help y=30x - 30x^2 - 72
Answer:
a. 4, 6
b. -72
c. (5, 3)
d. Graph A
Step-by-step explanation:
a.To answer these questions, it is useful to start by factoring the equation.
y = -3x² +30x -72 . . . . given
y = -3(x² -10x +24) . . . . factor out leading coefficient
y = -3(x -4)(x -6)
The x-intercepts are the values of x that make the factors zero:
x = 4, 6
__
b.The y-intercept is the constant in the equation: -72.
__
c.We know the x-coordinate of the vertex is the midpoint between the x-intercepts: (4+6)/2 = 5. The y-coordinate can be found by evaluating y at that x-value.
y = -3(5 -4)(5 -6) = -3(1)(-1) = 3
The vertex is (5, 3).
__
d.The graph that has the correct vertex and x-intercepts is Graph A.
HELP!!!
list the sides of ABC in order from shortest to longest!
Annie is planning a business meeting for her company she a budget of $1,325 for meeting room at a hotel she expects 26 people to attend the meet cost of rental meet room $270 which is inequality shows to find the amount x Annie can spend on lunch for each person
Answer:
[tex]1,325\geq 26x+270[/tex]
Step-by-step explanation:
there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?
Answer:
13 in12
Step-by-step explanation:
Factors of 2x^2-13x+21
Answer:
(2x-7)(x-3)
Step-by-step explanation:
my Christmas present to you
Answer:
k wat is it
Step-by-step explanation:
given that 4 : 6 = 3 : (m+2), find m.
Answer:
Step-by-step explanation:
-19x-17 = -93
Also when you solve it has to be with the addition property of equality
Answer:
Addition property of equality formula
Lesson Summary
We learned that the addition property of equality tells us that if we add the same quantity to both sides of an equation, then our equation remains the same. The formula is if a = b, then a + c = b + c.
Step-by-step explanation:
Question 1 (1 point)
What property is shown?
-d + (-e +(-f)) = (-d + (-e)) + (-f)
A:opposite of a sum
B:distributive
C:commutative
D:associative
Q.21 Tom borrowed a sum of Rs. 1200 at 12% per annum for 3years. Find the interest and amount to be paid by Tom after stipulated time.
The interest and amount to be paid by Tom after stipulated time is 432; 1632.
Principal=Rs1200
Rate=12%
Time=3year
Interest:
Interest= Principal ×Rate ×Time/100
Interest= 1200×12×3/100
Interest=Rs432
Amount:
Amount=1200+432
Amount=1632
Inconclusion the interest and amount to be paid by Tom after stipulated time is 432; 1632.
Learn more about interest here:https://brainly.com/question/25545513
Find the equation of a line whose graph passes through the two points (2,-3) and (4,-8).
Answer:
y=-5/2x+2
y+3= -5/2. (x-2)
Step-by-step explanation:
Answer:
y=-5/2x+2
Step-by-step explanation:
y=mx+b, where m is slope, b is y-int and y and x are variables.
Step 1: plot your points
Step 2: draw a line thru them
Step 3: find the slope. -5/2. And your y-int. +2
Hope that helps! Brainliest is appreciated :)
Mapping diagram: Is it a function? (yes /
no
) Why or why not?
Why? Because each input maps to exactly one output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.
Find P(Y|B) from the information in the table. A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 8, 6, 23, 37. The third column is labeled Y with entries 80, 34, 56, 170. The fourth column is labeled Z with entries 40, 45, 32, 117. The fifth column is labeled Total with entries 128, 85, 111, 324. To the nearest tenth, what is the value of P(Y|B)? 0. 2 0. 3 0. 4 0. 5.
Answer:
0.4 is the answer
Step-by-step explanation:
Answer:graph A
Step-by-step explanation:
because I clicked the wrong one ♀️
which is equivalent to -sinx for all values of x?
A. Sin(90*+x)
B.sin(90*-x)
C.sin(180*+x)
D.sin(180*-x)
Answer:
sin ( 180* + x ) = - x
Step-by-step explanation:
This is the correct answer
(2x+1)(3x+1)=35 using quandratic equation solve
Answer:
x = {-2 5/6, +2}
Step-by-step explanation:
To use the quadratic formula, it is helpful to write the equation in standard form.
(2x +1)(3x +1) = 35
6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34
The quadratic formula tells you the values of x are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}[/tex]
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 20 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
25:1
2:1
3:1
4:1
Answer:
4:1
Step-by-step explanation:
Answer:
edge of cube = 20 cm
volume of cube = 20x20x20
volume of each small cube = 5x5x5
number of cubes
= (20x20x20)/(5x5x5)
=64
Step-by-step explanation:
I believe that is the answer im sorry in advanced if its not.
ABCD is a parallelogram. What is the measure of ∠ACD?
Step-by-step explanation:
Here
5x+16+7x-3+6x+5 = 180(being sum of triangle)
or, 18x=180-18
or, x= 162/18
so, x = 9
now,
here,
<ACD = <ACB(diagonals of parallelogram bisect eachother)
or, <ACD = 7x-3
or, <ACD = 7×9-3
or, <ACD = 63-3
So, <ACD = 60°
Eight squared plus B squared equals 14 squared
[tex]8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}[/tex]
whats the rate of change
An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 1270.00
The markup percentage specifies the amount by which the selling price is
raised above the cost price.
The correct option for the selling price is B. p 1,070.00Reasons:
The original cost of the album = p900
The mark up percentage = 30%
Required:
The selling price
Solution:
The percentage mark up is given by the difference between the price at
which an item is for sale and its cost expressed as a percentage.
[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]
Therefore, we have;
[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]
[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]
900 × 0.3 = Selling price - 900
270 = Selling price - 900
Selling price = 900 + 270 = 1,070
The selling price is B. p 1,070.00
Learn more about percentage markup here:
https://brainly.com/question/16959984
Dwight sits near a bowl of candies in his office. He observed how many candies each person took in a sample of 444 visits. Here is how many candies each person took: 1, 2, 1, 41,2,1,41, comma, 2, comma, 1, comma, 4 Dwight found the mean was \bar x=2 x ˉ =2x, with, \bar, on top, equals, 2 candies. He thinks the standard deviation is s_x =\sqrt{\dfrac{(1-2)^2+(2-2)^2+(1-2)^2+(4-2)^2}{3}}s x = 3 (1−2) 2 +(2−2) 2 +(1−2) 2 +(4−2) 2 s, start subscript, x, end subscript, equals, square root of, start fraction, left parenthesis, 1, minus, 2, right parenthesis, squared, plus, left parenthesis, 2, minus, 2, right parenthesis, squared, plus, left parenthesis, 1, minus, 2, right parenthesis, squared, plus, left parenthesis, 4, minus, 2, right parenthesis, squared, divided by, 3, end fraction, end square root What is the error in Dwight's standard deviation calculation? Choose 1 answer: Choose 1 answer: (Choice A) A The order of subtraction is incorrect in each of the deviations. (Choice B) B He is missing a deviation in the numerator. (Choice C) C He should only take the square root of the numerator. (Choice D) D He shouldn't square each deviation in the numerator. (Choice E) E There is no error; his calculation is correct.
Answer: B
Step-by-step explanation:
8. What is the linear term in the quotient of 8x" - 6x + 9x - 5x + 12 divided by 2x + 3x + 5?
Answer:
Step-by-step explanation:
What is the domain and range?
Answer:
Domain: {-6, -2, -1, 1, 3, 6}
Range: {-6, -2, -1, 0, 3}
Step-by-step explanation:
to find the domain of a function, you look at all the possible x-values. this means you look at all the points, and see what their x-values are.
for example, the first point on the left is at (-6, -1). this means that -6 is in the domain. continue doing this for all the points, and you get {-6, -2, -1, 1, 3, 6}
to find the range of a function, it's just like domain but with y-values.
for example, for the leftmost point, it's at (-6, -1) so -1 is part of the range. continuing this with all the points, you get {-6, -2, -1, 0, 3}
3
Write 3
as an improper fraction.
4
Answer:
I'm sorry, but this isn't clear. Maybe remake the layout you wrote? Because 3 3 4 doesn't make sense.
[tex]\huge\boxed{Hi\: there!}[/tex]
3 as an improper fraction: 3/1.
Remember, an improper fraction is a fraction where the numerator is larger than the denominator.
[tex]\huge\boxed{Therefore, \: 3 \: as \: an \: improper\: fraction\: is: \frac{3}{1} }[/tex][tex]\huge\bold{Good \: luck\: with \: your\: studies! :)}\\\huge\bold{Answered \:by: \: An\: Unknown \: Dreamer}[/tex]
0.69 is an integer true or false
Help I have no idea what to do
Answer:
false
Step-by-step explanation:
An integer is a whole number and 0.69 is not a whole number.
give answer to 1 d.p
Answer:
AB ≈ 5.6 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )
12 × cos62° = AB , then
AB ≈ 5.6 cm ( to 1 dec. place )
How much more did Taste of New York make from pepperoni pizzas than Pizzeria Italiano?
Step-by-step explanation:
422 - 115
= 307
The taste of new York made $307 more than pizzeria italiano