Solve for h.
2(h − 16) − 16 = –12
h =
Answer:
18
Step-by-step explanation:
2h - 32 - 16 = -12
2h - 48= -12
2h =-12+48
h=36\2
h = 18
Answer:
h = 18
Step-by-step explanation:
Given
2(h - 16) - 16 = - 12 ← distribute and simplify left side
2h - 32 - 16 = - 12
2h - 48 = - 12 ( add 48 to both sides )
2h = 36 ( divide both sides by 2 )
h = 18
HELP ASAP!!!
The line (y-1)=(2/3)(x+1) contains point (a,-3).
What is the value of a? Show
your work.
[tex]\\ \sf\Rrightarrow y-1=\dfrac{2}{3}(x+1)[/tex]
[tex]\\ \sf\Rrightarrow -3-1=\dfrac{2}{3}(a+1)[/tex]
[tex]\\ \sf\Rrightarrow -4=\dfrac{-2(a+1)}{3}[/tex]
[tex]\\ \sf\Rrightarrow -2(a+1)=-4(3)[/tex]
[tex]\\ \sf\Rrightarrow -2(a+1)=-12[/tex]
[tex]\\ \sf\Rrightarrow a+1=\dfrac{-12}{-2}[/tex]
[tex]\\ \sf\Rrightarrow a+1=6[/tex]
[tex]\\ \sf\Rrightarrow a=6-1[/tex]
[tex]\\ \sf\Rrightarrow a=5[/tex]
Write the quadratic function in vertex form.
y = x2 + 8x + 18 (50 points for brainly)
A. y = (x - 4)2 - 2
B. y = (x - 4)2 + 2
C. y = (x + 4)2 - 2
D. y = (x + 4)2 + 2
Step-by-step explanation:
The Graph of a Quadratic Function
A quadratic function is a polynomial function of degree 2 which can be written in the general form,
f(x)=ax2+bx+c
Here a, b and c represent real numbers where a≠0. The squaring function f(x)=x2 is a quadratic function whose graph follows.
This general curved shape is called a parabola and is shared by the graphs of all quadratic functions. Note that the graph is indeed a function as it passes the vertical line test. Furthermore, the domain of this function consists of the set of all real numbers (−∞,∞) and the range consists of the set of nonnegative numbers [0,∞).
When graphing parabolas, we want to include certain special points in the graph. The y-intercept is the point where the graph intersects the y-axis. The x-intercepts are the points where the graph intersects the x-axis. The vertex is the point that defines the minimum or maximum of the graph. Lastly, the line of symmetry (also called the axis of symmetry) is the vertical line through the vertex, about which the parabola is symmetric.
For any parabola, we will find the vertex and y-intercept. In addition, if the x-intercepts exist, then we will want to determine those as well. Guessing at the x-values of these special points is not practical; therefore, we will develop techniques that will facilitate finding them. Many of these techniques will be used extensively as we progress in our study of algebra.
Given a quadratic function f(x)=ax2+bx+c, find the y-intercept by evaluating the function where x=0. In general, f(0)=a(0)2+b(0)+c=c, and we have
y-intercept (0,c)
Next, recall that the x-intercepts, if they exist, can be found by setting f(x)=0. Doing this, we have a2+bx+c=0, which has general solutions given by the quadratic formula, x=
−b±
√
b2−4ac
2a
. Therefore, the x-intercepts have this general form:
x-intercepts (
−b−
√
b2−4ac
2a
,0) and (
−b+
√
b2−4ac
2a
,0)
Using the fact that a parabola is symmetric, we can determine the vertical line of symmetry using the x-intercepts. To do this, we find the x-value midway between the x-intercepts by taking an average as follows:
x = (
−b−
√
b2−4ac
2a
+
−b+
√
b2−4ac
2a
) ÷2 = (
−b−
√
b2−4ac
−b+
√
b2−4ac
2a
)÷(
2
1
) =
−2b
2a
⋅
1
2
= −
b
2a
Therefore, the line of symmetry is the vertical line x=−
b
2a
. We can use the line of symmetry to find the the vertex.
Line of symmetry Vertex x=−
b
2a
(−
b
2a
,f(−
b
2a
))
Generally three points determine a parabola. However, in this section we will find five points so that we can get a better approximation of the general shape. The steps for graphing a parabola are outlined in the following example.
Example 1
Graph: f(x)=−x2−2x+3.
Solution:
Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).
f(x) = −x2−2x+3 f(0) = −(0)2−2(0)+3 = 3
The y-intercept is (0,3).
Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.
f(x) = −x2−2x+3 Set f(x)=0. 0 = −x2−2x+3 Multiply both sides by −1. 0 = x2+2x−3 Factor. 0 = (x+3)(x−1) Set each factor equal to zero. x+3 = 0 or x−1 = 0 x = −3 x = 1
Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).
Step 3: Determine the vertex. One way to do this is to first use x=−
b
2a
to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.
x =
−b
2a
=
−(−2)
2(−1)
=
2
−2
= −1
Substitute −1 into the original function to find the corresponding y-value.
f(x) = −x2−2x+3 f(−1) = −(−1)2−2(−1)+3 = −1+2+3 = 4
The vertex is (−1,4).
Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.
x y Point −2 3 f(−2)=−(−2)2−2(−2)+3=−4+4+3=3 (−2,3)
Our fifth point is (−2,3).
Step 5: Plot the points and sketch the graph. To recap, the points that we have found are
y-intercept: (0,3) x-intercepts: (−3,0) and (1,0) Vertex: (−1,4) Extra point: (−2,3)
Answer:
The parabola opens downward. In general, use the leading coefficient to determine if the parabola opens upward or downward. If the leading coefficient is negative, as in the previous example, then the parabola opens downward. If the leading coefficient is positive, then the parabola opens upward.
All quadratic functions of the form f(x)=ax2+bx+c have parabolic graphs with y-intercept (0,c). However, not all parabolas have x-intercepts.
Multiply. Express your answer in simplest form.
3 1/8 × 4/5
A 3 29/32
B 2 1/2
C 3 1/10
D 32/125
Answer:
B. [tex] 2 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]3 \frac{1}{8} \times \frac{4}{5} [/tex]
[tex] \frac{25}{8} \times \frac{4}{5} [/tex]
[tex] = \frac{5}{2} = 2 \frac{1}{2} [/tex]
Given m||n, find the value of x. (3x+10) (6x-10)
Answer:
Use the given functions to set up and simplify
( 3x + 10 ) ( 6 x − 10 ) = 18 x^ 2 + 30 x − 100
How many degrees in a circle
Answer:
360is the answer
Step-by-step explanation:
WILL GIVE BRAINLY: VOLUME
The formula for volume is V=lwh. Remember to convert from cubic centimeters to cubic meters.
The formula for volume is
V = Lenght x Width X Height
In your diagram, we have all 3 of these.
Length = 25 cm
Width = 12 cm
Height = 14 cm
To make it easier let's just convert all these to meters.
Length = 0.25 m
Width = 0.12 m
Height = 0.14 m
V = (0.25)(0.12)(0.14)
V = 0.0042 cubic meters
When multiplying two negative numbers, what kind of number does one always get for an answer?
Answer:
a positive number
Step-by-step explanation:
-(-) = +
for example, -1 * -1 = 1
Which of the following best describes the graph below?
Answer:
the answer is c
Step-by-step explanation:
because it takes a non-negative number as input and returns the square root of that number as output.
how would I simplify by combining like terms. -5a - 4a + b
Answer:
Step-by-step explanation:
-5a-4a+b
-5a-4a are like terms
-5a-4a+b
-9a+b
please mark this answer as brainlist
if f(x) = 4x^2 - 3, then what is the remainder when f(x) is divided by x + 3?
Answer:
33
Step-by-step explanation:
x+3=0
x=-3
4(-3)²-3=(4×9)-3
36-3=33
Determine if the following statement is true or false. If false provide a counterexample.
An equation with an integer coefficient will always have an integer solution.
Answer: An equation with an integer coefficient will NOT always have an integer solution.
Explanation: 3x=25⟹x=253 , therefore it is false.
When Beth last checked the clock it was 2:17 pm.
It is now 5:00 pm.
How much time has elapsed?
Answer:
The time is 2:43
Step-by-step explanation:
I did it in my head....
help me pls pls pls pls
[tex] \frac{4c}{h} - k[/tex]
Step-by-step explanation:
well that is the answer
Answer:
s = (4C/h) - k
Step-by-step explanation:
C = ((s + k)/4)h
multiply by 4/h
4C/h = s + k
subtract k
s = (4C/h) - k
giving 10 points image is attached
Answer:A
Step-by-step explanation:
A popular amusement park has had199,792,458 visitors since it opened. Which
number, written in scientific notation, is the
best approximation of the number of visitors?
a) 0.2 x 107 visitors
b) 0.2 x 108 visitors
c) 2.0 x 107 visitors
d) 2.0 x 108 visitors
Answer:
d) 2.0 * 10⁸
Step-by-step explanation:
199,792,458 ≈ 200,000,000 = 2.0* 10⁸
Evaluate: – 10+26 (-7)||
A - 74
B 74
94
-94
please answer asap
1. (5x2-2x+3) + (x2+x+2)
Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.
What will your final grade be if your homework average is 85 and your test average is 76?
Answer:
≈ 82Step-by-step explanation:
Add 67% of 85 to 33% of 76:
85*0.67 + 76*0.33 = 82.03 ≈ 8267% of 85
[tex]\\ \sf\longmapsto \dfrac{67}{100}\times 85[/tex]
[tex]\\ \sf\longmapsto 85(0.67)[/tex]
[tex]\\ \sf\longmapsto 56.95[/tex]
33% of 76
[tex]\\ \sf\longmapsto \dfrac{33}{100}\times 76[/tex]
[tex]\\ \sf\longmapsto 76(0.33)[/tex]
[tex]\\ \sf\longmapsto 25.08[/tex]
Add both
[tex]\\ \sf\longmapsto 56.95+25.08[/tex]
[tex]\\ \sf\longmapsto 82.03[/tex]
Which Experession Is Equivalent To 13-(21)
EASY MATH ALGEBRA 1 PLEASE HELP
Answer:
|-x|
Step-by-step explanation:
A reflection across the y-axis means the negative is on the inside: g(-x)
Algebra errors to avoid
Answer:
see image
Step-by-step explanation:
The base of a rectangle is 3cm more than the height. The perimeter is 26cm. Determine the length of the base in centimeters.
Answer:
Step-by-step explanation:
b = h+3
Perimeter = 2b+ 2h
= 2(h+3) +2h
= 4h+ 6
4h+6 = 26
h = 5 cm
b = h+3 = 8 cm
i need some help!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
We are dealing with theoretical probability. This means that our probability of said outcome is
[tex] \frac{x}{y} [/tex]
where x is the outcome we want, and y is the total number of outcomes possible.
28. There is 3 triangles out of 6 polygons so the probability is 1/2.
29.There is 1 Pentagon so the probability is 1/6.
30. This is a complement to question 28. A complement is the inverse of the problem. A complement and its original add to 1 so the probability of both getting a triangle is 1/2.
31. There is 4 non quadraletrial so the probability is 2/3.
32. There is 3 figures that has more sides than three so 1/2 is the probability.
33.There is only multi right angles figures so 1/2 is the probability.
34. There is 30 days in April so the probability it's the 29th is
[tex] \frac{1}{30} [/tex]
35. There is 31 days in July and 15 days after the 16th. So the probability
is
[tex] \frac{15}{31} [/tex]
What is 12.3% of 240
Anyone who is interested in construction, please help! Pweeeeseeee(;´༎ຶٹ༎ຶ`)
Answer:
I have ans in the picture form.
Step-by-step explanation:
Take it
4(4-w)=3(2w+2)
find w
Answer:
1
Step-by-step explanation:
4(4-w) = 3(2w+2)
Use distributive property:
16 - 4w = 6w + 6
+4w +4w
------------------------
16 = 10w + 6
-6 -6
-------------------------
10 = 10w
---- -----
10 10
1 = w
Hope this helped.
Hence, the required answer is 1
Which of the following statements must be true based on the diagram below? Select
all that apply. (Diagram is not to scale.)
L
K
O
M M
P
N
OP is a segment bisector.
OP is a perpendicular bisector.
OOP is an angle bisector.
O is the vertex of a pair of congruent angles in the diagram.
O is the vertex of a right angle.
Pis the midpoint of a segment in the diagram.
We have with a study the diagram of the diagram below and the explanations that follows the correct answers are
NONONOYESNOThe mid point of this segment can be derived by drawing diagonals across the 4 vertex LMNK.Generally
1)
OP is a segment bisector.
NO
OP is not a segment bisector because it those not divide segment LKMN in to two equal parts.
2)
OP is a perpendicular bisector.
NO
OP is not a perpendicular bisector because a perpendicular bisector is a bisector that cuts a segment into two equal parts and create an angle to the normal
3)
OP is an angle bisector
NO.
Because OP those not divide any angles into two equal parts
4)
O is the vertex of a pair of congruent angles in the diagram.
YES
Because O lines in between two angles of the same degree()
5)
O is the vertex of a right angle.
NO
Because O those not exist at a right angle
6)
The midpoint of a segment in the diagram
The mid point of this segment can be derived by drawing diagonals across the 4 vertex LMNK.
For more information on this visit
https://brainly.com/question/17581080
AB = 6 and AC=13. Find BC.
Answer:
BC = 7
Step-by-step explanation:
AB + BC = AC
Substitute values for the line segments:
6 + BC = 13
Isolate line segment BC by subtracting both sides by 6:
6 - 6 + BC = 13 - 6
0 + BC = 13 - 6
BC = 7
Check your work:
6 + 7 = 13
13 = 13
Correct!
22) solve for x
A) 7
B) -9
C) -10
D) 10
B
Step-by-step explanation:
AM on total = 1/2
so (x+19)/(x+29)=1/2
2x +38 =x + 29
x=-9