The value of 'x' is -8 in the given equation 121 = 4(5-3x) + 5.
What exactly do we mean by equations?A mathematical equation is a statement that connects two expressions with equal values by using the symbol 'equal to.'For example, 3x + 5 = 15.Linear, quadratic, cubic, and other types of equations exist.So, 121 = 4(5-3x) + 5:
121 = 4(5-3x) + 5121 = 20 -12x + 5121 = 25 - 12x-12x = 96x = -96/12x = -8Therefore, the value of 'x' is -8 in the given equation.
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Evaluate the function.
ƒ(x) = −3x² − x – 15
Find f(−8)
Given ~
[tex] \: [/tex]
[tex] \tt \: f(x) = −3x² − x – 15[/tex]
[tex] \: [/tex]
now , put x= -8 in the function ~
[tex] \: [/tex]
[tex] \tt \: f( - 8) = −3( - 8)² − ( - 8) – 15[/tex]
[tex] \: [/tex]
[tex] \tt f(-8) = −3(64) − (-8) – 15[/tex]
[tex] \: [/tex]
[tex]\tt f(-8) = −192 − (-8) – 15[/tex]
[tex] \: [/tex]
[tex] \tt f(-8) = −192 − (-8) – 15[/tex]
[tex] \: [/tex]
[tex]\tt f(-8) = −184 – 15 [/tex]
[tex] \: [/tex]
[tex] \underline{\boxed{\red {\tt f(-8) = - 199}}}{\green ✓} [/tex]
[tex] \: [/tex]
hope helps ~
Describe how to show 5-4 subtraction problem on a number line.
Answer: By having the arrow going to the left of the number line
Step-by-step explanation:
When subtracting, you always go to the left of the number line. Just like how you go to the right when adding. also having the line going from 5 to 1.
does someone mind helping me with this question? Thank you!
Answer: Slope: 3
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
m=(4-(-2))/(3-1)
m=(4+2)/2
m=6/2
m=3
Quadrilateral B is a scaled copy of quadrilateral A.
Its shortest side is 5 units long.
What is the scale factor from A to B?
By using the concept of dilation, we find that scale factor from A to B is equal to l' / 5, where l' is the length of the shortest side of the quadrilateral B.
What is the scale factor between two quadrilaterals?
Scale factor is a key variable used to dilate lengths and distances by rigid transformations. Then, the length of the shortest side of the quadrilateral B is equal to the product of the scale factor and the length of the shortest side of the quadrilateral A. Mathematically speaking, this kind of rigid transformation is represented by the following formula:
r = l' / l
Where:
r - Scale factorl - Length of the shortest side of the quadrilateral A.l' - Length of the shortest side of the quadrilateral B.If we know that l = 5, then the length of the shortest side of the quadrilateral B is equal to the following linear equation:
l' = 5 · r
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35. The sum of the angles of a polygon is 1620°. Calculate the number of sides that polygon has.
Answer:
11
Step-by-step explanation:
total angle of a polygon formula:
180 * (n-2) n is no. of sides
180 * (n - 2) = 1620
1620/180 = n-2
9 = n - 2
9 + 2 = n
n = 11
Student tickets to a theme park are $15 per person plus a travel fee of $50. The equation y = 50+ 15x represents the total cost, where x is the number of students. If there are at least 10 students but no more than 15 going on the trip, what is the domain of the situation?
Based on the given parameters, the domain of the situation is 10 <= x <= 15
What is the domain of a function?The domain of the function is the set of input values of the graph
How to determine the domain of the situation?The equation of the function is given as:
y= 50 + 15x
Where
Travel fee = $50Theme park ticker = $15 per personFrom the question, we understand that:
At least 10 students but no more than 15 are going on the trip
When the above is represented as an inequality, we have
10 <= x <= 15
Where x is the number of students
Hence, the domain of the situation is 10 <= x <= 15
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6j^2-2j-9=0 I need help now
Answer:
6j^2 - 2j = 9
j^2 -(2/6)j = 9/6
j^2 - (2/6)j + 1/36 = 9/6 + 1 /36
(j - 1/6)^2 = 55/36
j - 1/6 = √55/36
j = (√55/36) + 1/6
j = 1.40
Step-by-step explanation:
step 1 transpose 9 and it becomes positive.
step two divide everything by 6 so that j^2 has a coefficient of 1.
step 3 make a perfect square.
Then it's just simple calculations to get the answer
Are f(x) = 2x+4, g(x) = x-2 inverse of each other?
Answer:
This problem has been solved! See the answer Show transcribed image text Expert Answer Transcribed image text: Decide whether or not the functions are inverses of each other. f (x) = 2x + 4, g (x) = x – 2 no yes The function fis one-to-one.
Step-by-step explanation:
Vector u has a magnitude of 10inches with a direction angle of 45 degrees. vector v has a magnitude of 10 inches and a direction angle of 225 degrees. what are the magnitude and the direction angle for the resultant vector?
The magnitude of the vector is 10√2 and the direction of the vector is 78.69°
Magnitude and the direction of the vectors:
A vector is a directed line segment with an initial point and a terminal point.
To calculate the magnitude of the vector using the Pythagorean Theorem or the distance formula, and to find its direction using the inverse tangent function.
The formula for the magnitude of the vector is
|v|=√(a²+b²)
And the formula for the direction of the vector is,
θ=tan⁻¹(b/a)
where
(a, b) represents the given point.
Given,
Vector u,
Magnitude = 10 in
Direction angle = 45°
Vector v,
Magnitude = 10 in
Direction angle = 225°
Now we have to find the magnitude by apply the value on it,
=> |v|=√(10² + 10²)
=> |v|=√(100 + 100)
=> |v|=√200
=> |v|=√2 x 100
=> |v|=10√2
Similarly, the direction of the vector is,
=> θ = tan⁻¹ (225 / 45)
=> θ = tan⁻¹ (5)
=> θ = 78.69°
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Please help! Find the value of FG. The drawing is not to scale. EF=11 and EG=21
The value of FG is 32.
The drawing is attached with this.
Given that,
Value of EF = 11
Value of EG = 21
From the above given data we can assume that F and G be the corner points.
E is the point lie between F and G.
We have to find the value of FG. It may be a straight line.
So,
Value of FG = Value of EF + Value of EG
FG = 11 + 21
FG = 32
That is, the value of FG is 32.
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In February 2003,
the Battlefords Chamber of
Commerce in Saskatchewan
placed a cage containing a
64-cubic foot ice cube along
Yellowhead Highway. Local
customers were asked
to predict when the ice cube
would melt enough for a ball
above the ice cube to fall through it. What was
the surface area of the cube?
The side length of the cube is 4 feet. Then the surface area of the cube will be 96 square feet.
What is a volume of a cube?Suppose that: The side length of the considered cube is L units. Then, we get:
The volume of that cube = L³ cubic units.
The surface area of that cube = 6L² square units.
In February 2003, the Battlefords Chamber of Commerce in Saskatchewan placed a cage containing a 64-cubic foot ice cube along Yellowhead Highway. Then the side length of a cube will be
64 = L³
L = ∛64
L = 4 feet
Then the surface area of the cube will be
SA = 6 x 4²
SA = 6 x 16
SA = 96 square feet
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what fraction is equivalent to -0.5
Kofi is 5years older than Ama now. Two years ago, Kofi was twice as old as Ama. Find their ages now.
Answer:
Ama is an elephant so she is 2 years old
Step-by-step explanation:
solve 2x + 6 < 10 or 2x + 8 > 20.
Answer:
Step-by-step explanation:
the answer you end up getting is D
2x/2 > 12/2x > 6
Because x is greater than 2
You want to put a 5 inch thick layer of topsoil for a new 20 ft by 12 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answer:64
Step-by-step explanation: 12 x 2 = 24 and 20 x 2 = 40 and if you add it all up it equals 64 cubic yards please tell me if i'm wrong
a submarine is traveling 200 feet below sed level it then ascends 75 feet what is the new position of the submarine?
Answer: 83
Step-by-step explanation:
you travill 25 feet long
What factor is paired with 6 to give to24
Answer: 4
Step-by-step explanation:
f=factor
24=6*f
24/6=f
f=4
Answer:
4 is paired with 6 to get 24
Step-by-step explanation:
Here are some examples I got from my math teacher:
So How do you find the factor pairs?
Factor pairs are a set of two integers that give a particular product when multiplied together. For example, 2 and 5 are a factor pair for the product of 10. Factor pairs can be negative numbers, but they must be whole numbers – that means that they can't be a fraction or a decimal.
Francesca us making a scale drawing of the mural on a wall in her schools hallway.the mural is 12 ft high and 135 ft long.she is using a scale of 3 cm for every 4 ft.what is the dimensions of her scale drawing?
The dimensions of her scale drawing is 9 centimeters high and 101.25 centimeters long.
As we are informed from the question -
Measurement in real = measurement on scale
The 4 feet height measures 3 centimeters on scale
So, height of 12 feet on scale will be = (3/4) × 12
Performing multiplication and division to find the height of scale drawing
Height 12 feet on scale = 9 centimeters
The length of 135 feet will measure on scale = (3/4) × 135
Performing multiplication and division to find the height of scale drawing
Length 135 feet on scale = 101.25 centimeters
So, the dimensions of scale drawing will be 9 centimeters high and 101.25 centimeters long.
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what equations do u insert in between these numbers to get the answer
a.5 8 3 9 =50
b.12 6 2 10=14
c.4 5 6 10=24
d.7 4 6 9 7= 16
e.4 9 6 2 =52
f.45 5 9 3 7=102
Answer:
a 5 8 3
Step-by-step explanation:
Determine the following. Complementary angles
A line passes through the point(9,-8)
and has a slope of-2/3. Write an equation in slope-intercept form for this line.
.
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Is the following sentence true?
Changing 3x + 6 into 3(x + 2) is
an
example of reverse distributing
Answer:
true
Step-by-step explanation:
Im stuck can someone help?
Answer:
- p / 2
Step-by-step explanation:
4 / -8 = - 1/2
p^3 / p^2 = p
- 1/2 * p = - p / 2
If I spend 35 every week for a year how much do I spend?
Answer:
$1,820
Step-by-step explanation:
The math problem is $35 times 52 weeks
In which triangle is the value of x equal to tan−1(StartFraction 3.1 Over 5.2 EndFraction)?
(Images may not be drawn to scale.)
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x.
A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x.
The right triangle that shows the length of the two sides is 5.2 and 3.1.
It is required to find the triangle.
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
Given:
In trigonometry function, in a right triangle, a tangent of an angle x is equal to the ratio of the opposite side to angle x to the adjacent side to angle x.
According to given question we have:
Given that angle x will be:
[tex]x=tan^{-} \frac{3.1}{5.2}[/tex]
The opposite to angle x or perpendicular = 3.1 units
The adjacent side to angle x or base angle = 5.2 units
Therefore, the right triangle that shows the length of the two sides is 5.2 and 3.1.
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Answer:
b
Step-by-step explanation:
please help me
Here are two expressions whose sum is a new expression, A.
(2x2+5)+(6x□−7)=A
Select all the values that we can put in the box so that A is a polynomial.
Answer:
D, F and G
Step-by-step explanation:
A polynomial must have a negative exponent for the variable term. So we can eliminate A, B and C
Also no fractional exponents so eliminate E
F & G are positive exponents so acceptable
D has the exponent 0 so the term becomes (2x² + 5) + (6x⁰ + 7)
x⁰ = 1 so the expression becomes 2x² + 5 + 6 + 7 = 2x² + 18 which is a polynomial.
13⅘ + (2.6)
11.2
16.0
-10.8
-11.2
Step-by-step explanation:
[tex] {13}^{ \frac{4}{5} } + 2.6 \\ [/tex]
[tex] \sqrt[5]{(13) {}^{4} } + 2.6 \\ [/tex]
[tex] \sqrt[5]{28561} + 2.6 \\ [/tex]
[tex]7.78 + 2.6 = 10.38 \\ [/tex]
38. Автор, проверяя набранные на компьютере страницы будущей
книги, обнаружил опечатки, данные о которых приведены в
таблице:
Номер страницы
1 2 3 4 5 6 7 8
Число опечаток 0 1 0 2 1 2 4 3
Верно ли, что стандартное отклонение данных этой выборки
не больше 1?
Answer:
the answer is clear
Step-by-step explanation:
you have to get the answer by completing the answer
A formula for 6 gallons of light green paint uses 3/8 gallon of white paint. Liam has 9/16 gallon of white paint. Does Liam have enough white paint to make 8 gallons of light green paint?
Yes, 9/16 gallon of white paint is enough for Liam to make 8 gallons of light green paint.
How do you defined the term unitary method?It is a method for estimating the value of a single unit from of the value of multiple units, as well as the value of multiple units from of the value of a single unit. With in unitary method, we everytime count the value of a unit one or quantity first, and then calculate the values of more or lesser quantities.For the given conditions; use unitary method.
3/8 gallons white paints ------> 6 gallons of light green paint.
Thus, from 1 gallons of white paint.
1 gallons white paints ------> (6×8)/3 gallons of light green paint.
For preparing 8 gallons of light green paint, multiply both side of equation by 9/16.
9/16 gallons white paints ------> (6×8)/3 × (9/16) gallons of light green paint.
on solving.
9/16 gallons white paints ------> 9 gallons of light green paint.
The requires value for light green paint is 8 gallons, we have prepared more than that that is 9 gallons.
Thus, Liam has sufficient white paint to make 8 gallons of light green paint.
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If point A is located at (5, –3) and point B is located at (–4, –6). Find AB A B rounded to the nearest tenth.
The distance between the point A and point B is 9.5 units
Distance between two pointsThe formula for calculating the distance between two points is expressed according to the formula shown below;
AB = √(x₂-x₁)²+(y₂-y₁)²
Using the given coordinates points A(5, -3) and B (-4, -6)
Substitute to have:
AB = √(5-(-4))²+(-3-(-6))²
AB = √(5+4)²+(-3+6))²
AB = √81+9
AB = √90
AB = 9.5 units
Hence the distance between the point A and point B is 9.5 units
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