Answer:
2(x - 3)(3x + 2)
Step-by-step explanation:
Given
6x² - 14x - 12 ← factor out 2 from each term
= 2(3x² - 7x - 6) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 6 = - 18 and sum = - 7
The factors are - 9 and + 2
Use these factors to split the x- term
3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )
= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term
= (x - 3)(3x + 2)
Thus
3x² - 7x - 6 = (x - 3)(3x + 2) and
6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form
4)
Jason is on a diet. His goal is to lose 5.9 pounds per month. How much weight will he have lost after 3.3 months?
Answer:
if he lost 5.9 in 3.3 months he we would lost weight.
5.9* 3.3 19.47lbs
Convert the following to scientific notation: 5050
Answer:
5.05*10³
Step-by-step explanation:
Put the decimal after the first digit and drop the zeroes. To find the exponent count the number of places from the decimal to the end of the number.5050 = 5.05 *1000 = 5.05*10³In the expression 2x - 8 what is x referred to as?
1. coefficient
2. variable
3. constant
Which is NOT an equation?
1. 5 - 4x
2. 6x - 5 = 8
3. x/3 + 9 = -1
Answer:
Step-by-step explanation:
A) 2x - 8
x is called variable
Option 2
B) 5 - 4x is not a equation
Option 1
Increase 26 by 277%
Answer:
98.02
Step-by-step explanation:
Take 26 and multiply by 277%
26 * 277%
Change to decimal form
26 * 2.77
72.02
That is the amount of the increase
Now add it to the original amount
26+72.02
98.02
Answer:
98.02
Step-by-step explanation:
[tex]26 + 26 \times \frac{277}{100} \\ = 26 + 26 \times 2.77 \\ = 26 + 72.02 \\ = 98.02[/tex]
please help me on this geometry i’ll mark u the brainliest
Answer:
XN = 6Step-by-step explanation:
If XY is bisector of angle AXN then: [tex]\dfrac{YN}{AY}=\dfrac{XN}{AX}[/tex]
[tex]\dfrac4{12}=\dfrac{XN}{18}\\\\XN=\dfrac4{12}\cdot18\\\\XN=6[/tex]
f(x) = √x+7 = ; g(x) = 8x - 11 find f(g(x))
Answer:
[tex]f(g(x)) = \sqrt{8x - 4} [/tex]Step-by-step explanation:
[tex]f(x) = \sqrt{x + 7} \\ \\ g(x) = 8x - 11[/tex]To find f(g(x)) substitute g(x) into f(x) that's for every x in f (x) replace it by g (x)
We have
[tex]f(g(x)) = \sqrt{8x - 11 + 7} [/tex]We have the final answer as
[tex]f(g(x)) = \sqrt{8x - 4} [/tex]Hope this helps you
A runner gets a 30.0 meter head start then runs 5.0km/hr. Write an equation which will represent the runners distance from the start line at any second
Answer:
d = 1.4 t + 30
Step-by-step explanation:
Head start means any advantage achieved or advantage gained in any race or competition.
In the context, the runner is gained a head start of 30 meter from the starting point.
It is also given that the speed with which the runner is running is 5.0 km per hour.
Therefore, the equation that gives the distance covered by the runner from his start line at any time in seconds is given by d = 1.4 t + 30.
How many significant digits are in
17.090?
Answer: 4
Step-by-step explanation:
Answer:
there are 5 significant digits
Find the area of the triangle below
Answer:
[tex]A=73.5\text{ cm}^2[/tex]
Step-by-step explanation:
The formula for an area of a triangle is:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the base length and h is the vertical height.
From the triangle, we can see that the base is 21 cm while the vertical height is 7. Thus:
[tex]A=\frac{1}{2}(7)(21)[/tex]
Multiply:
[tex]A=\frac{1}{2}(147)[/tex]
Multiply:
[tex]A=73.5\text{ cm}^2[/tex]
And that's our answer :)
The Area of triangle is 73.5 square cm.
We have from the figure,
Base of triangle = 21 cm
Height of triangle = 7 cm
side of triangle = 15 cm
We know the formula for Area of Triangle
Area of Triangle = 1/2 x base x height
Now, plugging the value of base and height in the formula we get
Area of triangle = 1/2 x base x height
= 1/2 x 21 x 7
= 147/2
= 73.5 square cm
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This agency preserves and promotes public confidence in the U.S. Financial system by insuring deposits in banks and thrift institutions for at least $250,000.
help asap please:) i don’t know
Answer:
Step-by-step explanation:
area of triangle = 1/2 × b × h
here,
b = 37 m
h = 30 m
so area = 1/2 × b × h
= 1/2 × 37 × 30
= 555 m^2
hope this helps
plz mark as brainliest!!!!!!!
HELP HELP HELP PLEASE ASAP
Answer:
0.37 feet.
Step-by-step explanation:
The following data were obtained from the question:
Volume (V) = 4100 ft³
Height (h) = 1.8 miles
Radius (r) =?
Next, we shall convert 1.8 miles to foot.
This can be obtained as follow:
Recall:
1 mile = 5280 ft
Therefore,
1.8 miles = 1.8 × 5280 = 9504 ft
Finally, we determine the radius as follow:
Volume (V) = 4100 ft³
Height (h) = 9504 ft
Pi (π) = 3.14
Radius (r) =?
V = πr²h
4100 = 3.14 × r² × 9504
4100 = r² × 29842.56
Divide both side by 29842.56
r² = 4100/29842.56
Take the square root of both side
r = √(4100/29842.56)
r = 0.37 ft
Therefore, the radius of the hole is 0.37 feet.
I can't get to get this right can you please help me
Answer:
[tex](-7,4]\text{ or }\{x|-7<x\leq 4\}[/tex]
Step-by-step explanation:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
[tex](-7,4][/tex]
We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.
And in set notation, this is:
[tex]\{x|-7<x\leq 4\}[/tex]
Answer:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
(-7,4](−7,4]
We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.
And in set notation, this is:
\{x|-7
Please help ASAP 100 points please :((
Answer:
Step-by-step explanation:
7). Since the points J, K and L are on a same line, these points are collinear.
8). Point M is a point which is on the same plane with the points J, K and L but it is not collinear as the points J, K, and L are.
9). Points J, K, L and M are on the same plane (horizontal plane) but point N is not coplanar with these points.
10). Since a plane is named using 3 points lying on it. Therefore, JKL is the appropriate name of the given plane with these points.
Answer:
JKL is the appropriate name of the given plane with these points.
Step-by-step explanation:
For each problem, find the missing value using the Pythagorean Theorem
Answer:
Step-by-step explanation:
A^2 + b^2 = c^, 8^2 + x^2 =17^2 , 64 + x^2 = 289, 64- 64 + x^2 = 289-64, x^2 = 225, square root x and 225, Leg1 = 15
can someone pls explain to me how to Order the following numbers in an ascending order?
[tex]3.61 \times 10^{ - 8} [/tex]
[tex]1.22 \times 10^{- 8} [/tex]
[tex]7.49 \times 10 ^{ - 6} [/tex]
[tex]5.5 \times 10 ^{ - 6} [/tex]
[tex]2.87 \times 10 ^{ - 5} [/tex]
Answer:
swap 1,2; swap 3,4
Step-by-step explanation:
Put the numbers in scientific notation, with one digit left of the decimal point.
The number with the largest exponent is largest.
If exponents are equal, the number with the largest mantissa is the largest.
__
Here, the exponents are already in order, so you need only order the mantissas for each exponent. Ascending order is ...
[tex]1.22\times10^{-8}\\3.61\times10^{-8}\\5.5\times10^{-6}\\7.49\times10^{-6}\\2.87\times10^{-5}[/tex]
60=-5(-6-3z)
Find the solution
Answer:
z=2
Step-by-step explanation:
60=-5(-6-3z)
60= 30+15z
60-30=15z
30/15=15z/15
2=z
During a fourth of July celebration, a cannon is fired upwards from Fort Ontario. The height, h, in feet, of the cannonball above sea level at any given time, t, in seconds, can be determined by the formula h = -16t2 + 120t + 200. Find the height, in feet, of the cannonball above sea level 5 seconds after the cannon is fired.
Answer:
400 feet
Step-by-step explanation:
We just need to find h when t = 5. To do so, we can plug t = 5 into the function, which would be:
h = -16t² + 120t + 200
= -16 * 5² + 120 * 5 + 200
= -400 + 600 + 200 = 400 feet
Answer:
h = 400 feet
Step-by-step explanation:
given t = 5 seconds
h = -16t² + 120t + 200
just substitute t = 5
h = -16(5)² + 120(5) + 200
h = 400 feet
How many square inches are in 60 square fee
Answer:
8640 square inches
Step-by-step explanation:
There are 12 inches in one foot so there would be 12 * 12 = 144 square inches in 1 square foot. Therefore, there are 144 * 60 = 8640 square inches in 60 square feet.
Which of the following is not the same as 1.69 meters? 0.0169 km 0.169 dkm 169 cm 1,690 mm
Answer:
0.0169 km.
Step-by-step explanation:
km - kilometers (One kilometer is equal to 1000 meters.)
dkm - dekameters (One dekameter is equal to 10 meters.)
cm - centimeters (One centimeter is equal to 0.01 meters.)
mm - millimeters (One millimeter is equal to 0.1 meters.)
Used a calc to check each of the values to see if they equal 1.69m and km was the one that wasn't equal. Instead it was 16.9.
Answer:
1.69 meter
Step-by-step explanation:
Which exponential function is represented by the table below? x –2 0 2 4 y 16 4 1 14 A. 4⋅2x B. 14⋅4x C. 4⋅(12)x D. 4⋅(14)x
The exponential function represented by the table is given as follows:
[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
a is the initial value.b is the rate of change.Considering the table:
When x = 0, y = 4, hence a = 4.When x changes by 2, y changes by 1/4, hence b = 1/2.Then the equation is:
[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]
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What constitutes a function
Answer:
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output...
a recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt. The recipe can be scaled up to make multiple loaves of bread. Complete the table that shows the quantities to use for multiple loaves of bread.
Answer:
Step-by-step explanation:
A recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water and 1 teaspoon of salt.
Therefore, if we add 2 loaves of bread then double of ingredients will be required for the recipe.
In the same way if 4 loaves of bread have been added, 4 times ingredients will be required.
If 3 cups of flour are added then 3 times of other ingredients will be required.
So the table will be,
Number of loaves Cups of flour Tablespoons of water Teaspoons of salt
1 2 12 1
2 4 24 2
4 8 48 4
3 6 36 3
Daredevil Danny was cliff jumping. He jumped off a cliff that was 1 4 . 2 14.214, point, 2 meters above the surface of the water. At the end of his jump, Danny was 2 . 3 2.32, point, 3 meters below the surface of the water.
Question:
Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
The following equation describes this situation 14.2 + (-16,5) = -2.3 .
What does -16.5 tell us?
Answer:
The displacement between his current position and his initial position
Step-by-step explanation:
Given
[tex]Initial\ Position = 14.2m[/tex]
[tex]Final\ Position = -2.3m[/tex]
[tex]14.2 + (-16.5) = -2.3[/tex]
Required
What does -16.5 represents?
To understand this, we need to first calculate the displacement between his initial and final position
[tex]Displacement = Final\ Position - Initial\ Position[/tex]
[tex]Displacement = -2.3m - 14.2m[/tex]
[tex]Displacement = - 16.5m[/tex]
So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)
The probability of spinning an even number on a spinner is 0.4. What is the probability of not spinning an even number, expressed as a percent?
Answer:
60%
Step-by-step explanation:
There are only even and odd numbers. If a number is not even, it is odd. If the probability of spinning an even number is 0.4, or 40%, then just subtract that by the whole spinner, which is equivalent to 100%:
100% - 40%
= 60%
This means that the odds of spinning an odd number is 60%
Hope this helps! Tell me if I'm wrong please!
Answer:
60%
Step-by-step explanation:
A bag contains 8 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be green?
Answer:
Probability that both marbles drawn will be green = 1 / 20
Step-by-step explanation:
(It is assumed that marbles are not returned in the bag)
[tex]p(1st \: marble \: drawn \: is \: green) = \frac{5}{20} [/tex]
[tex]p(2nd \: marble \: drawn \: is \: green) = \frac{4}{20} [/tex]
Multiplying theses we get :
[tex]p(both \: marbles \: drawn \: are \: green) = \frac{5}{20} \times \frac{4}{20} = \frac{1}{20} [/tex]
*LAST QUESTION, PLEASE HURRY AND ANSWER* What is the volume of the cone below? (Use 3.14 for pi)
Answer:
The third: 5.32 cubic unitsStep-by-step explanation:
R = 1.52
H = 2.2
π = 3.14
[tex]V=\frac13\pi R^2\cdot H\\\\V=\frac13\cdot3.14\cdot(1.52)^2\cdot2.2=5.3200810\overline6\approx5.32[/tex]
a number plus 12 is 36. write an equation and use equation to solve
Answer:
24
Step-by-step explanation
36-12=24
Its as simple as that.
A number plus 12 is 36. The equation for the given calculation is 36 - 12 = 24.
What is the arithmetic equation?Arithmetic is the fundamental branch of mathematics that covers number operations. Addition, subtraction, multiplication, and division are the operations involved.
The difference between each consecutive term in an arithmetic series is constant. The series 3, 5, 7, 9..., for example, is arithmetic because the difference between consecutive terms is always two.
Because the difference between subsequent words is always negative five, the sequence 21, 16, 11, 6... is also arithmetic.
Let the number added to 12 is x
Then,
12 + x = 36
x = 36 - 12 = 24
Therefore, the equation for the given calculation is 36 - 12 = 24.
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If given an equation of a line such as y = -1/2x + 6, demonstrate on the whiteboard how to create an equation of a line parallel and perpendicular to this line that goes through another point such as (4, 10).
Answer:
parallel line y = -1/2x + 12
perpendicular line y = 2x + 2
Step-by-step explanation:
slope = -1/2
perpendicular slope = 2
y = mx + b
10 = -1/2(4) + b
10 = -2 + b
12 = b
y = -1/2x + 12
10 = 2(4) + b
10 = 8 + b
2 = b
y = 2x + 2
Which simplified fraction is equal to 0.53 repeat ? A.24/46 B.8/15 C.42/90 D.5/9
Answer:
To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given
24/45=0.533...
8/15=0.533...
48/90=0.533...
5/9=0.5556
As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556
Step-by-step explanation:
A fraction is a way to describe a part of a whole. The fraction that equals 0.53 is (8/15).
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The value of the given fractions is equal to,
A.)
[tex]\dfrac{24}{46} = 0.5217[/tex]
B.)
[tex]\dfrac{8}{15} = 0.5333[/tex]
C.)
[tex]\dfrac{42}{90} = 0.4666[/tex]
D.)
[tex]\dfrac{24}{46} = 0.55556[/tex]
Hence, the fraction that equals 0.53 is (8/15).
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