Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) = [tex]ax^{2} +bx +c[/tex]
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) = [tex]x^{2} +8x - 2[/tex] a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = ([tex]-4^{2}[/tex]) + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases
Answer:
Option D, (-4,-18)
Step-by-step explanation:
got it right on edge
A computer randomly selects a number from the given set. {1.2 5 10 25 30 36} What is the probability that an even number is selected? Enter your answer as a fraction, in simplest form, in the box. Pleven) =
Answer:
4/7 (I may be wrong)
Step-by-step explanation:
There are 7 numbers, of which 4 are even. This could be %100 wrong/right.
HELP!!! answer quickly pls
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Each of the green lines has 3 times the length of the corresponding blue line. Thus the dilution factor is 3.
I AM IN GREAT DEED OF HELP RIGHT NOW
Answer:
$4.16
Step-by-step explanation:
8% of $52 is 4.16.
In total the item would cost $56.16.
All you do is 52 x .08 = 4.16
Make sure to divide the percentage (8/100=.08) before multiplying.
What is the slope of the line that passes through the points (3, -2) and (9, -2)?
a) 0
b) 3
c) -3
d) undefined
Answer:
a) 0
Step-by-step explanation:
the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)
we are given the points (3,-2) and (9,-2)
we can label the points:
x1=3
y1=-2
x2=9
y2=-2
now substitute into the equation:
m=(-2--2)/(9-3)
simplify
m=(-2+2)/6
m=0/6
m=0
the slope of the line is 0, which is option a
Hope this helps!
What is the following product
Answer:
the answer is 7x^2-12x square root of 14 +72 (option 2)
Step-by-step explanation:
A 12 foot ladder is leaning against a wall and the foot of the ladder is 5 feet away from the wall. What is the angle between the ground and the ladder
Answer:
65.38degrees
Step-by-step explanation:
Given the following
Length of ladder = 12foot = hypotenuse
Distance of the ladder from the wall = 5ft = adjacent
Required
Angle between the ground and the ladder theta
Using the SOH CAH TOA identity
Cos theta = adj/hyp
Cos theta = 5/12
Cos theta = 0.41667
theta = arccos(0.41667)
theta = 65.38 degrees
Hence the angle between the ground and the floor is 65.38degrees
Two-step equation
2x+5x=-1
What's the answer for x=
Answer:
x=-1/7
Step-by-step explanation:
Combine like terms
7x=−1
Then you divide both sides by 7 and then you get x=-1/7 (fraction)
Hope it helps :)
Plz help ASAP I will mark u branliest
hi, find the real zeros. if there are none, just say none.
Answer:
None
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
cause there isnt any zero
(HELP NEEDED ASAP Will give brainliest) What is the lateral surface area?
(all square inches)
80
86
60
92
Answer:
80
Step-by-step explanation:
Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80
b/c the 2 lines are equal
Since you started recording it on your calendar. There have been 112 sunny and 42 rainy days. What has been the rainy day to sunny day ratio?
Answer: 3:8
Step-by-step explanation:
Number of rainy days = 42
Number of sunny days = 112
To calculate the rainy day to sunny day ratio, we can first use the numbers given as fraction and divide to its lowest term. This will be:
= Number of rainy days / Number of sunny days
= 42 / 112
= 3/8
Therefore, the ratio of rainy days to sunny days will be 3:8
Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2
Given:
The equation is:
[tex](2x+1)(x-2)=0[/tex]
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex] ....(i)
We have,
[tex](2x+1)(x-2)=0[/tex]
In can be rewritten as
[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]
[tex]2x^2-4x+x-2=0[/tex]
[tex]2x^2-3x-2=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2,b=-3,c=-2[/tex]
Therefore, the correct option is C.
whats the difference between coterminal, reference, and rotational angles?
Answer:
If two angles in standard position have the same terminal side, they are called coterminal angles.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation
If two angles in standard position have the same terminal side, they are called coterminal angles.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation.
Hence, if two angles in standard position have the same terminal side, they are called coterminal angles.
To learn more about an angle visit:
https://brainly.com/question/28451077.
#SPJ2
HELPP! this is my second time uploading this question:,,)
George tells you that when variables are in the denominator, the equation
2/3+5/x=8/9 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.
Answer:
X can equal 22.5
Step-by-step explanation:
I've set up the equation below:
[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]
With this equation, as any addition equation goes, we assume it to be like this:
A + B = C
so
C - A = B
that means,
[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]
The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...
[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]
So...
[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]
We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:
[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]
So, x is 22.5, making the equation indeed solvable.
Have a nice day, fam. This problem really worked my brain! Spread The Love.
Help please I’m being timed!!
Answer:d
Step-by-step explanation:
25 points. Need help
Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
Mrs Fuller plants a 4 inch tomato plant in her garden. The tomato plant grows at a rate of 2 inches each week. Which equation can be used to determine h, the height of the tomato plant in inches after w weeks?
Answer: 4 + 2w
Step-by-step explanation:
The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:
h = 4 + 2(w)
h = 4 + 2w
For example, the height of the tomato plant in inches after 5 weeks will be:
h = 4 + 2w
h = 4 + 2(5)
h = 4 + 10
h = 14 inches
Which fractions have a LCD of 84? A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
Answer:
D.)
2/3 1/6 1/7
Step-by-step explanation:
Given the fractions :
A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.
A.)
L. C. M of 14, 42 and 6 = 42
42 * 3 = 126 ( not true)
B.)
L. C. M of 84, 16, 42 = 336
Can't be true
C.)
L. C. M of 21, 4, 3 = 84
84 * 2 = 168 (not true)
D.)
L.C.M of 3, 6, 7 = 42
Answer:
d
Step-by-step explanation:
Please answer the question bellow
No solution
because delta ( b^2 - 4ac ) is lower than 0(zero) .
Shelley had 53¢ until she spent 1 quarter. How much money does Shelley have now?
Answer:
28¢
Step-by-step explanation:
A quarter is 25¢, so 53¢ - 25¢ = 28¢.
Za and Zb are complementary angles. Za measures 37°.
What is the measure of Zb?
Answer: 53 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.
i forgot how to do this plz help
Answer:
C. 48°
Step-by-step explanation:
Help please, what's the interquartile range?
a jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grapefruit juice, and 5/8 cups of lemonade. the the jug big enough for the punch? explain
There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Complete question :
There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Answer:
1 /9
Step-by-step explanation:
Capacity of container = 3 gallons
Amount of gallons in container = 1/3 gallon.
Fraction of water in container:
Division equation :
Amount of gallon in container / capacity of container
1 /3 ÷ 3 = 1/ 9
Multiplication equation :
1/3 of 1 gallon
Capacity of container = 3 gallons
1/ 3 * inverse of 3
1/3 * 1/3 = 1/9
I HATE SCHOOL ESPECIALLY MATH
Answer:
Step-by-step explanation:
Answer is in the picture. I promise its not a bad picture.
Jackson bought a jar of 240 marbles. The percent bar graph shows the percentage of each color marble in the jar.
How many of the marbles are yellow?
Answer:
72 marbles are yellow
Step-by-step explanation:
Select the statement that describes this expression: 5 x (3 + 4) − 4. (2 points)
5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4
Answer:
5 times the sum of 3 and 4, then subtract 4
Answer:
5 times the sum of 3 and 4, then subtract 4
Step-by-step explanation:
Hope this helps
The smelter produces 384 tons of cast iron a day. How much coke is burned per day during smelting if 15 tons of coke is consumed per 16 tons of cast iron?
Answer:
360 tons
Step-by-step explanation:
Coke burned : cast iron = 15 : 16
The smelter produces 384 tons of cast iron a day
Let x = tons of coke burned
Coke burned : cast iron = x : 384
Equate both ratios
15 : 16 = x : 384
15/16 = x/384
Cross product
15 * 384 = 16 * x
5,760 = 16x
x = 5,760/16
x = 360
x = tons of coke burned = 360 tons
the product of 2 consecutive integers is 42. find the integers
Answer:
6 & 7
Step-by-step explanation:
6 x 7 = 42
They are consecutive!
Answer:
6x7
Step-by-step explanation:
hope this helps!
