Answer:
[tex]x=-2;x=-4[/tex]
Step-by-step explanation:
The solution of the quadratic equation f(x) = 2x² + 12x + 16 will be negative 2 and negative 4.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The function is given below.
f(x) = 2x² + 12x + 16
The root of the equation will be given as,
f(x) = 0
2x² + 12x + 16 = 0
x² + 6x + 8 = 0
x² + 4x + 2x + 8 = 0
x(x + 4) + 2(x + 4) = 0
(x + 4)(x + 2) = 0
x = -2, -4
The solution of the quadratic equation f(x) = 2x² + 12x + 16 will be negative 2 and negative 4.
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please help!
What is the volume of the cylinder below?
Answer:
c 62.8
Step-by-step explanation:
pi=3.14
3.14(2^2)5
3.14(4)5
3.14(20)
62.8 in
4) TRUE OR FALSE: Logarithms and Exponentials are inverses of each other 1 point
if their bases are the same!*
True
False
Answer:
True
Step-by-step explanation:
Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay.
Maria's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has more than 47 liters. What are the
possible numbers of minutes Maria could add water?
Use t for the number of minutes.
Write your answer as an inequality solved for t.
Answer:
t < 5
Step-by-step explanation:
47 > 6t + 17
30 > 6t
5 > t
t < 5
help !!!! please serious answers on or get reported in
;))
answer: 1.75
say you have 1 dollar and 3 quarters, this would give you $1 dollar and 75 cents =1.75
What are the next three terms in the sequence 3, 6, 9, 12, ...?
Answer:
15, 18, 21
Step-by-step explanation:
a city-wide gardening club is up of men, women and children in the ratio 5:4:11.
altogether there are are 2240 members of the gardening club how many members of the gardening club are : 1) women 2) men 3) children
Answer:
Women: 448 Men: 560 Children: 1232
Step-by-step explanation:
5+4+11 = 20/2240 = 112
Women = 4 x 112 = 448
Men = 5 x 112 = 560
Children = 11 x 112 = 1232
Total = 1232 + 560 +448 = 2240
PLZZZZ HELP Alg 2 math
Consider the given equation and graph (picture provided)
What are the approximate solutions to the equation
The approximate solutions of the equations are
A, x = 1 and x = 4.2
How to find solution of system of equations on a graphTo find the solution of a system of equations using a graph, you can Identify the point of intersection
Look for the point(s) where the graphs of the equations intersect. This point represents the solution(s) to the system of equations.
then read the coordinates of the point
From the graph, the x coordinates that gives the point of intersection can be traced to be x = 1 and x = 4.2
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In AKLM, K = 81 cm, l = 41 cm and M=93º. Find the length of m, to the nearest
centimeter.
Answer:
90 is the correct answer
Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the length of H J is x + 3, and the length of J E is x minus 1.
If H is the midpoint of GE and J is the midpoint of FE, determine the following lengths.
HJ =
JE =
Answer:
HJ = 8 JE = 4
Step-by-step explanation:
it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.
HJ= 1/2 (GF)
x + 3 = 1/2 (4x - 4)
x + 3 = 2x - 2
x = 5
^ Thus meaning the value of x is 5.
Now you just fill into your equations:
HJ = x + 3 = (5) + 3 = 8
JE = x - 1 = (5) - 1 = 4
Therefore, HJ = 8; JE = 4.
Answer:
HJ = 8
JE = 4
Step-by-step explanation:
Your welcome.
Anyone wanna fight? 12x76-8(456-98)=
Answer:
-1952
Step-by-step explanation:
Answer:
1952
Step-by-step explanation:
12 x 76-8(456-98)
912-8 x 358
912-2864
1952
Subtract 2x2 + 6x – 5 from 7x2 + 3x + 4.
What is the coordinate of the focus
for the following parabola:
(x - 1)^2 = 12(y + 2)
Answer:
D
Step-by-step explanation:
The required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.
Given that, equation of the parabola,
[tex](x - 1)^2 = 12(y + 2)[/tex]A parabola is cross-section cut out of the cone and represented by an equation [tex]y = 4ax^2[/tex]. Where a is focus.
Here,
[tex](x - 1)^2 = 12(y + 2)[/tex]
Simplify the above parabola equation to stand equation
[tex]y = \frac{1}{4(f-k)} (x-h)^2 + k[/tex]
[tex]y =\frac{1}{4(1-(-2))} (x - 1)^2 - 2[/tex]
Now comparing above the equation,
vertex of a parabola,
h = 1 and k = -2
And focus
So the coordinate of the focus of the parabola = (h, f)
= (1, 1)
Thus, the required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.
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Solve for x. Assume lines that appear to be tangent are tangent
Answer:
x = 135
Step-by-step explanation:
x = 9x15
= 135
x = 135
Part A
Consider the equation of two lines.
Line 1: -3x – 3y = 6.
The slope of the first line is
Line 2: 4x + 4y = 8.
The slope of the second line is
Part B.
What can we infer about the two lines?
PLEASE HELP
Answer:
-1 ; -1 ; the two lines are parallel
Step-by-step explanation:
To find the slope of the two lines, we can proceed in two different ways:
1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y
line 1: m = 3/-3 = -1 line 2: -4/4 = -1
2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x
line 1
-3y = 3x+6
-y = x + 2
y = -x -2
m = -1
line 2
x+y = 2
y = -x +2
m = -1
the two lines have the same slope, so they are parallel
The scatter plot shows how much puppy weighs within a certain time period. about how much did the puppy gain during this time period?
What is the surface area
Answer: b
Step-by-step explanation:
69.92 divided by 7.6
Answer:
9.2
Step-by-step explanation:
hope it helps
help asap please!! thank you
Answer: The third option
Step-by-step explanation:
(6) (5) is the area of the quadrilateral, therefore you subtract that value by the area of the semi-circle.
to find the area of a semi circle the formula is: (1/2) π ( [tex]r^{2}[/tex])
The radius is 2.5 because the diameter is 5, and the radius is half the diameter.
Given that 27-1/3 3 = 94 + 3r
31
find the exact value of x.
Answer:
the exact value is x =1/2 or x=0.5
your welcome!
The exact value is x = 1/2.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given an expression as;
[tex]27^{-1/3} = \frac{9^{1/4} }{3^{r + 1}}[/tex]
Now we can see that
27 = 3³
9 = 3²
Then the power are 3(-1/3) = -1
3(1/4) = 3/4
So we have;
[tex]3^{-1} = \frac{3^{2/4} }{3^{r + 1}}\\\\3^{-1} =3^{1/2 -r - 1} \\\\3^{-1} =3^{1 -2r - 2 /2}\\\\3^{-1} =3^{-2r - 1/2}[/tex]
So,
-2 = -2r - 1
-2r = -1
r = 1/2
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Can someone please help me?? I have a huge test coming up and I need to review for it. Do you know the answer? If you do, please explain it because i want to be sure the day of the test. Thanks!! 25 Points!!
Answer:
Easy way is completing a square:
x² + 20x - 39 = 10x² + 2*x*10 + 100 = 49 + 100(x + 10)² = 149x + 10 = ± √149x = - 10 ± √149Correct choice is J
Pllzzzzzz someone help me
Answer:
3/10. 0.3
Step-by-step explanation:
when you divide mixed numbers you should reciprocate them I mean take the reciprocal and that was 2 and over every number there is one so I took 1/2 hope you understand why I kept 1/2 I took its reciprocal hope you understand if I'm wrong tell me right away I'll try it out good luck.
Based on a random sample of 500 people, 45 reported they have more than one
dog. Based on these results, how many out of 1,200 people would you expect to
have more than one dog?
A
1,008
B
60
С
165
D
108
Answer:
I’m guessing 108 or 165
Step-by-step explanation:
because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry
verify the following
1. (-3/4)3 = -27/64
Tell whether each event is impossible, unlikely, as likely as not, likely, or certain. Rolling a number cube and getting a number that is less than 7.
Answer:
Certain
Step-by-step explanation:
The answer is certain because all the numbers on a cube are less than 7. So it's impossible to get a number more than 7, or equal to 7.
Which statement best describes the product of 4/5 x 10?
Answer:
Step-by-step explanation:
4/5 x 10/1= 40/5
40 divided by 5 equals 8
The answer is 8
2) W
All of the following situations can be
represented by the integer 10, except
which one?
A a balloon rises 10 ft into the air
B the stock market gains 10 points
C The town lies 10 It below sea level. Please help!
D Jon received a gift of $10
In circle D, line AB is perpendicular to line CD. Use the diagram to answer a-b. Leave answers in radical form when necessary.
Answer:
AB = 48
AD = 7√2
Step-by-step explanation:
since AD - 26, DB = 26 and DC = 26
AE² = 26² - 10² = 676 - 100 - 576
AE = √576 = 24
AB = 2 x 24 = 48
If arc BC is 45°, then ∠BDC = 45°
AD² = 7² + 7² = 49 + 49 = 98
AD = √98 = 7√2
At Super Grocery, potatoes cost $2.85 for 5 pounds. At Value Market, potatoes cost $4.20 for 7 pounds. What is the unit price of a pound of potatoes at Value Market.
Answer:
$1.66 per pound of potatoes.
Step-by-step explanation:
7/4.20 = 1.66$ per Pound
Mark as brainllest
$1.66 per pound of potatoes.
sin x = cos 58°
HELP ME WITH THIS
Answer:
31
Step-by-step explanation:
if sin(x) = cos(y)
then x + y = 90
.
in this case X + 59 = 90 : X = 31
Find the surface area of the triangular pyramid
Answer:
[tex](16 \times 13 \times 0.5) \times 4 + 13 \times 13[/tex]