Answer:
The translation is left 1 unit, up 5 units ⇒ A
Step-by-step explanation:
Let us revise the rules of translation of a function
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
The vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h = and k = f(h)
You will use the vertex form to find the translation
∵ g(x) = x² + 2x + 6
∴ a = 1 and b = 2
→ use the rule of h to find it
∴ h =
∴ h = -1
→ Use it to find k
∵ g(h) = k
∴ k = g(-1)
→ Substitute x by -1 in g to find k
∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6
∴ k = 5
→ Substitute the values of h and k in the vertex form above
∴ g(x) = 1(x - -1)² + 5
∴ g(x) = (x + 1)² + 5
→ By using the 2nd and 3rd rules of translation above
∴ f(x) is translated 1 unit to the left and 5 units up
∴ The translation is left 1 unit, up 5 units
Answer:
it's A. left 1 unit
Step-by-step explanation:
there's a graphing tool on e d g just copy and paste the equations in that and it'll give you the answer
Question
Find the perimeter and area.
Round to the nearest tenth.
Answer:
pic is gliched for me
Step-by-step explanation:
Answer:
Perimeter:40 Area:60
Step-by-step explanation:
To find the perimeter add all the sides
15+17=32 32+8=40
To find the area it is A=1/2bh (base times height times 1/2)
A=1/2(15)(8)
A=1/2(120)
A=60
When doing the area of a triangle, think of it as finding the area of a rectagle, then cutting it in half.
What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)
Answer:
y = -2/3x + 8/3aStep-by-step explanation:
Given points
(a, 2a) and (-5a, 6a)Slope-intercept form
y = mx + bSlope of the line is
m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3The y-intercept is:
2a = -2/3*a + bb = 2a + 2/3ab= 8/3aSo the line is:
y = -2/3x + 8/3aAnswer:
y = -2/3 - 8/3a
Step-by-step explanation:
Find the slope using [ y2-y1/x2-x1 ]
6a-2a/-5a-a
4a/-6a
-2/3
Find the y-intercept.
y = mx + b
y = -2/3x + b
2a = -2/3(a) + b
-8/3a = b
y = -2/3 - 8/3a
Best of Luck!
-2(a-3)=12 Solve for a.
-3
Step-by-step explanation:
-2a+6=12
collect like terms
-2a=12-6
-2a=6
divide both sides hy the coefficient of a
-2a/-2 =6/-2
a= -3
5x-10+2x=7+7x-17
Choose the Correct answer below:
Sometimes true
Never true
Always true
Answer:
always true
Step-by-step explanation:
Simplify, and if possible solve the equation to find out
remember, inverse operations
5x - 10 + 2x = 7 + 7x - 17
simplify both sides
7x - 10 = 7x - 10
this is an identity, no matter the value of x put in, the equation will be true,
hence the equation is always true
Please help I added a picture
Answer:
In one minute 4/3 of a cup will be filled.
Step-by-step explanation:
1/4 of a minute is 60 (seconds) divided by 4 = 15
15/60 = 1/4 of a minute
1/3 of a cup in 15 seconds
1/3+1/3+1/3+1/3 = 4/3
in a stick of chalk carbon is 3 g what is the weight of the chalk stick
Answer:
Hence the weight of chalk stick is 25 g.
Explanation:
Let the weight of a stick be x gm.
12% of x=3
(12/100)*x=3
x=3*(100/12)=25 g
Answer:
weight of chalk = 25gStep-by-step explanation:
let chalk contains 10x calcium, 3x carbon, 12x oxygen.
percentage of carbon in the chalk:
= 3x x 100
10x + 3x + 12x
= 3x ( 100 )
25x
= 3 (4)
= 12%
Now, we know that carbon has 12% of chalk.
weight of carbon = 12% x weight of chalk. ------------- equation
plugin values into the equation:
3 = 12% (weight of chalk)
3 = 12 (weight of chalk)
100
12 (weight of chalk) = 3
100
weight of chalk = 3 (100)
12
weight of chalk = 25g
i neeeed helllllpppppsss
Answer:
#2
Step-by-step explanation:
Match these items. 1. insects, birds epidermis 2. moss, trees monerans 3. yeast, molds reproductive parts 4. protozoa, red algae kingdoms 5. bacteria, blue-green algae plants 6. five main groups of all living things vegetative parts 7. the study of plants fungi 8. flowers, fruits, and seeds protists 9. roots, stems, and leaves botany 10. provides plant cover on leaves and roots animals
Answer:
1. Animals.
2. Plants.
3. Fungi
4. Protists.
5. Monerans.
6. Kingdom.
7. Botany.
8. Reproductive parts.
9. Vegetative parts.
10. Epidermis.
Step-by-step explanation:
1. Insects, birds: Animals. All insects and birds are living organisms generally referred to as animals.
2. Moss, trees: Plants. Moss and trees are living organisms generally referred to as plants.
3. Yeast, molds: Fungi. They belong to a kingdom of multi-cellular eukaryotic organisms which can't make or produce their own food (heterotrophs).
4. Protozoa, red algae: Protists. They belong to a kingdom of single-celled (unicellular) eukaryotic microscopic organisms.
5. Bacteria, blue-green algae: Monerans. They belong to a kingdom of single-celled (unicellular) prokaryotic organisms without a nuclear cell membrane.
6. Five main groups of all living things: Kingdom. These are namely Kingdom Animalia, Kingdom Fungi, Kingdom Plantae, Kingdom Monera and Kingdom Protista
7. The study of plants: Botany.
8. Flowers, fruits, and seeds: Reproductive parts.
9. Roots, stems, and leaves: Vegetative parts.
10. Provides plant cover on leaves and roots: Epidermis.
Add.
(2x3+4x2+1)+(x3−x2−4)
Express the answer in standard form.
Enter your answer in the box.
Answer:
3x³ + 3x² - 3
Step-by-step explanation:
Step 1: Write expression
(2x³ + 4x² + 1) + (x³ - x² - 4)
Step 2: Combine like terms
3x³ + 3x² - 3
The table represents the function f(x).
What is /(3)?
X
0 1
9
-3
-2
11
0
1
2
3
f(x)
9
6
3
0
3
6
9
Answer: The answer is nine, because
WHAT IS 5 X 3 TO THE POWER OF 3
Answer:
The answer is 3,375
Step-by-step explanation:
5 x 3=15
15 to the 3rd power is 15 x 15 x 15
15 x 15 x 15= 3,375 :)
Which correctly lists three characteristics that are used to describe air?
altitude, density, radiation
density, radiation, mass
mass, pressure, density
pressure, altitude, radiation
Answer:
mass, pressure, density is the right answer
Step-by-step explanation:
The three main characteristics that can be used to describe air are: C. mass, pressure, density.
What Characteristics can be Used to Describe Air?Altitude deals with elevation of an object.
Radiation relates to transmission of energy through a medium in form of waves.
Air has mass, pressure, and density.
Therefore, the three main characteristics that can be used to describe air are: C. mass, pressure, density.
Learn more about characteristics of air on:
https://brainly.com/question/15536453
If m<1 = 88 , find the m<3.
Answer:
87?
Step-by-step explanation:
slipknot is the answer to all your problems
Daniel kicks a soccer ball and the trajectory is modeled by f(t) =− 16t^2+ 32t .
a. What would the value be of f(1)?
b. If it takes 2 seconds for the ball to hit the ground, what would a reasonable domain be for this function?
Answer:
f(1) = 16
Domain: 0 ≤ t ≤ 2
Step-by-step explanation:
Given
f(t) = -16t²+ 32t
Solving (a): f(1)
Substitute 1 for t in f(t)
f(t) =− 16t²+ 32t .
f(1) =− 16 * (1)²+ 32 * 1
f(1) = -16 * 1 + 32
f(1) = -16 + 32
f(1) = 16
Solving (b): The domain
The implication of the given parameter in (b) is that t ≤ 2.
Since t represents time, t can't be negative.
Hence, a reasonable domain is
0 ≤ t ≤ 2
Anne Pederson is driving to Cleveland, a distance of 324 miles. Her car gets 27 miles
per gallon, and gas costs $2.43 per gallon. How much does she spend for gas for the
trip?
Answer: 29.16
Step-by-step explanation:
1.)
324 ÷27= 12
2.)
2.43 x 12= 29.16
Simplify the ratio.
14 ft to 21 ft
14 ft to 21 ft = 2 ft to 3 ft
3²+b² = √51 ²
what is this answer
Answer:
Step-by-step explanation:
yuuu
Answer:
The answer is b1= -√42, b2= √42
Step-by-step explanation:
which equation can be used to determine the length of DE
Answer:
C
Step-by-step explanation:
5x-2+3=3(x+3)
IND 11. Kim is arranging magazines on shelves. She has 18 sports magazines and 24 news magazines. Each shelf will have the same number of sports and news magazines. If Kim must place all of the magazines on shelves, what are all the possible numbers of shelves Kim can use?
Find the multiples of each number:
18: 1 , 2 , 3 , 6 , 9 , 18
24: 1, 2, 3, 4, 6 , 8, 12, 24
Now find the matching numbers:
1 , 2, 3 , 6
11
5/23
Classify the Number: -23
integer
Rational
Real, rational,
Integer
Real, irrational,
whole
DOLL
Answer:
rational, integer
Step-by-step explanation:
Which statement is true about 143? A. It is a prime number. B. It is a composite number. C. It is a whole number that is neither prime nor composite. D. It is not a whole number.
Answer:
B. It is a composite number.
Step-by-step explanation:
143 can be divided by 11 and 13 making it a composite number.
The number 143 is a composite number due to having more than two factors.
The factors of the number 143 are 1, 11 and 13.
What is the difference between a prime number and a composite number?Prime number has only two factors i.e. 1 and the number itself while composite numbers can have more than two factors.
143 = 1*11*13
Since the number 143 has 3 factors i.e. 1, 11, and 13.
So, The number 143 is a composite number.
Therefore, The number 143 is a composite number due to having more than two factors.
To get more about composite numbers visit:
https://brainly.com/question/24820928
15. Radioactive nuclei are highly stable and emit radiation to become
unstable.
TRUE
FALSE
The statement radioactive nuclei are highly stable and emit radiation to become unstable is FALSE.
To determine if the statement is true or false we need to know what radiactivity is
What is radioactivity?Radioactivity is the spontaneous disintegration of unstable atomic nuclei to form stable more energetic nuclei with the emission of radiation.
Radioactivity includes the following
disintegration of a larger atomic nuclei to a smaller more stable nucleiEmission of radiationSo, radioactive nuclei which are unstable emit radiation and become more stable.
So, the statement radioactive nuclei are highly stable and emit radiation to become unstable is FALSE.
Learn more about here:
https://brainly.com/question/25756215
-4
1.3 x 10 x 1.7 x 10
-3
x 10
Q2
[2]
Ed
9.
Answer:
221
Step-by-step explanation:
use bidmas (brackets,indices, division,multiplication,addition,substraction)
Which terms are like terms in the following expression?
9x+6xy-4x+8x+6x squared
Answer:
9x and -4x
Step-by-step explanation:
Both 9x and -4x have the same variables? (Please correct if I am wrong..)
Find the difference. Write your answer in simplest form.
10 1/5 - 2 1/6=
Answer:
8 1/30
Step-by-step explanation:
(10-8) + (1/5 - 1/6)
Answer:
8 1/30
Step-by-step explanation:
Find the common deminator, then subtract!!
Find the volume of prism
8cm,7cm,25cm
Answer:
1400
Step-by-step explanation:
8 times 7 times 25 = the volume
=1400
Answer:
1400
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
What is the distance between the points (-3, 1) and (1, 3)?
5/4
2/5
2
Answer:
2/5
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Answer:
The distance is
3√10 or about 9.49 (rounded to nearest hundredth's place).
Step-by-step explanation:
The distance is
3
√
10
or about
9.49
(rounded to nearest hundredth's place).
Explanation:
The formula for the distance for 3-dimensional coordinates is similar or 2-dimensional; it is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
+
(
z
2
−
z
1
)
2
We have the two coordinates, so we can plug in the values for
x
,
y
, and
z
:
d
=
√
(
−
2
−
1
)
2
+
(
−
3
−
(
−
3
)
)
2
+
(
4
−
(
−
5
)
)
2
(I wasn't sure if the
3
−
meant
3
or
−
3
, so I assumed it was
−
3
)
Now we simplify:
d
=
√
(
−
3
)
2
+
(
0
)
2
+
(
9
)
2
d
=
√
9
+
0
+
81
d=√90
d=3√10
If you want to leave it in exact form, you can leave the distance as
3√10
. However, if you want the decimal answer, here it is rounded to the nearest hundredth's place:
d≈9.49
Hope this helps!
my little brother needs help and my dad wont let me help him so im posting this for him HELP ASAP
Answer:
B- 19.84
Step-by-step explanation:
Show that (3+4)2−(3−4)2−(4)(4)=32
Answer:
Explanation below
Step-by-step explanation:
(3+4)= 7
7+2 = 9
-(3-4) (Invisible one)
-3+4 add to the 9
10
10+2= 12
12-4=8
8×4 =32
Sorry if this seems a bit confusing, but its quite hard to show the process without paper.
Hope this helps! :)
What’s Slope A?
What’s Slope B?
What is the relationship between the two slopes that you calculated?
Answer: 2
Step-by-step explanation:
count number a blocks it went up (4)
count number of blocks it goes to the right (2)
if it goes to the left or down the answer would have been negative
4/2 = 2