Answer:
The factors of x² - 3·x - 18, are;
(x - 6), (x + 3)
Step-by-step explanation:
The given quadratic expression is presented as follows;
x² - 3·x - 18
To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18
By examination, we have the numbers -6, and 3, which gives;
-6 + 3 = -3
-6 × 3 = -18
Therefore, we can write;
x² - 3·x - 18 = (x - 6) × (x + 3)
Which gives;
(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18
Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)
Which triangle is a translation of the gray triangle
Answer:
Triangle DEF
Step-by-step explanation:
Hi there!
A translation of a shape occurs when all the coordinates of the original image is shifted up, down, left or right by an equal value.
Triangle ABC is a reflection of the grey triangle across the y-axis. We know this because the y-axis acts like a line of symmetry between the two shapes.
Triangle DEF appears as if it's been shifted. Therefore, triangle DEF is a translation of the grey triangle.
I hope this helps!
What is the equation of the line that is parallel to the line x = -2 and passes through the point (5.4)?
Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:
[tex] \large \boxed{m_1 = m_2}[/tex]
We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:
y = a —> horizontal line; slope is 0.x = a —> vertical line; slope is undefined.For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.For x = a, any a-values would have same y-values or range.Back to the question. We want to find the equation of a line that is parallel to the line x = -2 and passes through (5,4) point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.
Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.
Answer
The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!
find the cost of tiling a rectangular floor 10m by 14m if square tiles with side 1m are used. The price of a tile is $5.20
Answer:
$728.00
Step-by-step explanation:
10m*14m=140m
140*$5.20=$728.00
I made a mistake while solving the inequality below. What mistake did I make? Explain what I should’ve done instead.
Answer:
Mistakes:
Used addition
Didn't flip inequality form
Corrections:
Divide each term
Instead of a positive value it should be negative
flip the direction of the inequality form
Step-by-step explanation:
[tex] - 9x \div - 9 \leqslant 90 \div – 9 [/tex]
cancel the common factor
[tex] \times \leqslant 90 \div - 9[/tex]
Divide 90 by – 9
Answer is:
[tex] \times \leqslant - 10[/tex]
Hope this helps!
Do anyone know what it is
The Malcolms are taking a trip. Midville is 214 miles
from their home. Walesburg is 3 times as far.
How far is Walesburg from their home?
Answer:
642 miles
Step-by-step explanation:
Distance of Midville from their home = 214 miles
Walesburg is 3 times as far.
How far is Walesburg from their home?
Distance of Walesburg from their home = 3 × Distance of Midville from their home
= 3 × 214 miles
= 642 miles
Distance of Walesburg from their home = 642 miles
Suppose that the dollar cost of producing x ratios is c(x)=800+40x-0.2x^2. Find the average cost per radio of producing the first 40 radios.
Answer:
24radios
Step-by-step explanation:
Given that the dollar cost of producing x ratios is c(x)=800+40x-0.2x^2. Find
Average cost is expressed as dC(x)/dx
dC(x)/dx = 40-0.4x
C'(x) = 40 - 0.4x
If x = 40
C'(40) = 40 - 0.4(40)
C'(40) = 40 - 16
C'(40) = 24
Hence the average cost per radio of producing the first 40 radios is 24radios
Which statement is true?
(1) B and C have the same zeros.
(2) A and B have the same y-intercept.
(3) B has a minimum and C has a maximum.
(4) C has a maximum and A has a minimum.
AGE NO.:
DATE:
simplify!
12 / 24 - 3/216 +5600 -5554
Use calculator for the solving:
12 / 24 - 3/216 +5600 -5554 = ?
Answer: 46.4861111111
Hopefully it's correct :)
Suppose a ship's load has 10 containers in each row from one side to the other, 15 containers in each row from front to back, and 8 layers of containers. How many containers are in the whole load?
Answer:
1200 Containers
Step-by-step explanation:
According To The Question, We Have
10 Containers in each Row from one side to other ( 10 length )15 Containers in each Row From front Side To Back (15 Breadth)8 layers of Containers (8 Height)By All this Data We Found That, Basically A Big Size Cuboid is Formed Here.
Now, For The Total Numbers Of Containers = 10×15×8 = 1200 Containers
Whats the Angle for A,B, and C? Ive been stuck on this problem for a while. It would be great if you helped
Answer:
b=57° (vertically opposite angles)
Step-by-step explanation:
57°+a+b+c=360° (angles around a point)
57°+57°+a+c=360°
114°+a+c=360°
a+c=360°-114°=246°
a=c (vertically opposite angles)
therefore 2a=246°
a=123°
b=123°
kevin ran 6/7 miles and his brother james ran 10 miles. How many miles did the two of them ran.
Answer:
16.7 miles
Step-by-step explanation:
6.7+10=16.7
The two of them ran 16.7 miles.
HELP ME PLEASE!!! Please please please please!!!!
Answer:
h = 9.6 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
h² + 7.2² = 12² ( h is the height of the building )
h² + 51.84 = 144 ( subtract 51.84 from both sides )
h² = 92.16 ( take the square root of both sides )
h = [tex]\sqrt{92.16}[/tex] = 9.6 ft
in a class of 32 students
Answer:
1.48 m
Step-by-step explanation:
mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Then the sum for the 14 boys is
[tex]\frac{sum}{14}[/tex] = 1.56 ( multiply both sides by 14 )
sum = 21.84 m
The sum for the class of 32 is
[tex]\frac{sum}{32}[/tex] = 1.515 ( multiply both sides by 32 )
sum = 48.48 m
Thus the sum for the 18 girls is
sum = 48.48 - 21.84 = 26.64 m
Then mean height of girls is
mean = [tex]\frac{26.64}{18}[/tex] = 1.48 m
What’s the midpoint of this line segment?
(03.02 LC)
Which of the following is a function equivalent to f(x)=3(1.7)^4x (4 points)
Answer:
b. 3(8.35) ^x
Step-by-step explanation:
3(1.7) ^4x = 3 • [(1.7)⁴]^x
= 3 (8.35) ^x
Is every prime number a natural number?
Answer:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
Hope that answered your question.
write a cosine function that has a midline of 5 an amplitude of 2 and a period of 5/2
Answer:
Uuy
Step-by-step explanation:
please help me with homework or i will get yelled by my teachers lolz
Answer:
the answer to this is 7.
Step-by-step explanation:
7+3=10.
what is meant ratation of the earth and draw
Answer:
Earth's Rotation
Earth spins around its axis, just as a top spins around its spindle. This spinning movement is called Earth's rotation. At the same time that the Earth spins on its axis, it also orbits, or revolves around the Sun. This movement is called revolution.
What is the volume of a cone that has a height of 10 feet and a base with a surface area(B) of 9 square feet?
Answer:
30 cubic feet
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Height of cone (h) = 10 feet
Base surface area = π[tex]r^{2}[/tex] = 9 sq. feet
So we can calculate the volume of cone by using following formula,
volume of cone = (1/3)π[tex]r^{2}[/tex]h
By putting the value in the formula, we get
Volume of cone = (1/3) 9 × 10
= 3 × 10
= 30 cubic feet
Write the equation of a line that passes through the point m(2,3) and has slope 1/2.
Answer:
Step-by-step explanation:
[tex]Equation \ of \ a \ line, (y-y_1)=slope(x-x_1)[/tex]
[tex](x_1, y_1) = (2,3)[/tex]
[tex]y-3=\frac{1}{2}(x-2)\\\\y -3= \frac{1}{2}x-1\\\\y = \frac{1}{2}x-1+3\\\\y = \frac{1}{2}x+2[/tex]
There is a box with red and green apples there are 60 apples in total determine the number of green apples if 40% of the apple are red
Answer:
36 green apples
Step-by-step explanation:
Number of red apples = percentage of red apples x total number of apples in the box
percentage of red apples = 100 - 40 = 60%
0.6 x 60 = 36
Triangle ABC is the image of triangle ABC after a translation of 2 units to the night and 3 units
up is triangle ABC congruent to triangle ABC?
Answer:
yes the triangle is congruent, because you did not use any transformations you on used translations.
but if you used transformations it would be similar not congruent
A cheetah's speed was timed over a set distance. The cheetah was clocked running 60 miles per hour. Which equation is the relationship between the distance, y, and time, x, the cheetah runs?
Answer:
D. y=70x
Step-by-step explanation:
The cheetah was clocked running 70 miles per hour.
i.e. in 1 hour cheetah covered 70 miles
in 2 hours cheetah covered 140 miles
in 3 hours cheetah covered 210 miles
in general, in n hour cheetah covered 70n miles
If y denote the distance covered
and x denotes the time cheetah runs
Then, y=70x
Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:
D y=70x
Six less than the product of a number n and
1
is no more than 97.
Answer:
n ≤103
Step-by-step explanation:
The product of a number n and 1 is expressed as n
Six less than the number is n - 6
If the result is no more than 97, then;
n - 6 ≤ 97
n ≤ 97 + 6
n ≤103
Hence the value of n is no more than 103
solve for x with the image below
Answer:
Step-by-step explanation:
The formula for this particular problem is
[tex]x^2=2(2+16)[/tex] and
x² = 2(18) and
x² = 36 so
x = 6
what is the dilation/scale factor?
Scale factor = (image)/(preimage)
[tex]AC=8\\\\A'C'=12[/tex]
So, the scale factor is [tex]\frac{12}{8}=\boxed{1.5}[/tex]
Help , what is the measure of p
Answer:
Step-by-step explanation:
let angle p be x
x+27=56 degree (sum of two opposite interior angle is equal to the exterior angle formed)
x=56-27
x=29 degree
therefore p is 29 degree.
What are the roots of the quadratic equation below?
3x2 + 9x - 2 = 0
-9 + 105
O A. x =
6
O B.
X=
-3+105
2
C.
-91 57
6
OD.
x==34,57
Answer:
Step-by-step explanation:
The roots of the quadratic equation below using the quadratic formula are option A. [-9 ± √105 ] / 6.
Given is a quadratic equation,
3x² + 9x - 2 = 0
Quadratic formula to find the roots of a general quadratic equation ax² + bx + c is,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a
Here a = 3, b = 9 and c = -2.
Substituting the values,
x = [-9 ± [tex]\sqrt{9^2-(4)(3)(-2)}[/tex] ] / (2 × 3)
= [-9 ± [tex]\sqrt{81+24}[/tex] ] / 6
= [-9 ± √105 ] / 6
So the roots are [-9 ± √105 ] / 6.
Learn more about Roots of Quadratic Equations here :
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