Step-by-step explanation:
step 1. 2x + 3.79 = 17.29. this is the answer.
let f(x)=x^2 +2 and g(x)=1-3x. find each function value: (fg)(-1)
Answer:
12
Step-by-step explanation:
so basically
(x^2+2)*(1-3x)=-3x^3+x^2-6x+2
now plug in -1
-3(-1)^3+(-1)^2-6(-1)+2=12
hope this helped :)
The correct value of (fg)(-1) is "12". A further solution of the given query is provided below.
Given functions are:
[tex]f(x) = x^2+2[/tex]
[tex]g(x) = 1-3x[/tex]
Now,
⇒ [tex](fg) = (x^2+2)(1-3x)[/tex]
By applying multiplication, we get
[tex]=x^2+2-3x^3-6x[/tex]
[tex]=-3x^3+x^2-6x+2[/tex]...(equation 1)
By substituting the value "-1" in place of "x" in equation 1, we get
⇒ [tex](fg)(-1) = -3(-1)^3+(-1)^2-(6)(-1)+2[/tex]
[tex]=-3(-1)+1+6+2[/tex]
[tex]=3+1+6+2[/tex]
[tex]=12[/tex]
Thus the right answer is (fg)(-1) = 12.
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Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
O They are not perpendicular because their slopes are
equal.
O They are not perpendicular because their slopes are
not negative reciprocals.
Answer: d- they are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
The statement best explains the relationship between lines FG and HJ is They are not perpendicular because their slopes are not negative reciprocals, the correct option is D.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
We are given that;
The graph of line FG and HJ
Now,
The slope of line FG can be found by using the points (-4, 1) and (0, -2):
m = (-2 - 1) / (0 - (-4)) = -3 / 4
The slope of line HJ can be found by using the points (-4, -2) and (0, 4):
m = (4 - (-2)) / (0 - (-4)) = 6 / 4 = 3 / 2
The slopes of lines FG and HJ are not negative reciprocals of each other, since -3/4 is not equal to -1/(3/2) or 2/3. So, lines FG and HJ are not perpendicular.
Therefore, the answer will be they are not perpendicular because their slopes are not negative reciprocals.
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Pls help 7th grade math
Answer:
Lucy, Jenny, Dan, Terry
Step-by-step explanation:
Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%. On 1st January 2017 the value of the house was $687700. What was the value of the house on 1st January 2015
Answer:
The value of the house on 1st January 2015 was of $650,000.
Step-by-step explanation:
Decimal multipliers:
For a increase of a%, the decimal multiplier is given by [tex]\frac{100+a}{100}[/tex]
For a decrease of a%, the decimal multiplier is given by [tex]\frac{100-a}{100}[/tex]
Rami bought a house on 1st January 2015.
For a value of x.
In 2015 the house increased in value by 15%.
This means that x is multiplied by [tex]\frac{100+15}{100} = \frac{115}{100} = 1.15[/tex]
In 2016 the house decreased in value by 8%.
This means that 1.15 times x is multiplied by [tex]\frac{100-8}{100} = \frac{92}{100} = 0.92[/tex]
On 1st January 2017 the value of the house was $687700.
The value of these multiplications is 687700.
What was the value of the house on 1st January 2015?
This is x, so:
[tex]x*1.15*0.92 = 687700[/tex]
[tex]x = \frac{687700}{1.15*0.92}[/tex]
[tex]x = 650000[/tex]
The value of the house on 1st January 2015 was of $650,000.
4. Solve the equation, please type your steps and your work:
3x – 5 = -3
Answer:
2/3
Step-by-step explanation:
3x-5=-3
3x=-3+5
3x=2
x=2/3
If you divided a rectangle into ten smaller rectangles and
then each of THOSE into ten, each of the smallest
rectangles is
What is an equation in slope-intercept form of the line that passes through the points (−2, −2) and (1, 7)? A. y=13x−43
Answer:
I Dont Know
Step-by-step explanation:
What is the distance between the points (6,2) and (1,-5)
PLEASE ANSWER QUICK
Answer:
[tex]\displaystyle d = \sqrt{74}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 2) → x₁ = 6, y₁ = 2
Point (1, -5) → x₂ = 1, y₂ = -5
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{74}[/tex]Help please!!!!!!!!!!!!!!!!!!!!!!!!!!
What is 74x56
Help fast I need it
Me will give brainliest
Thx in advance
Answer:
4144
Step-by-step explanation:
hope this helps
Answer:
the answer is 4,144
Step-by-step explanation:
What is the area of this circle? Use 3.14 for π
Question 7 options:
530.66 cm squared
81.64 cm squared
2122.64 cm squared
849.56 cm squared
Answer:
530.66 cm squared
Step-by-step Explanation:
Diameter of the circle = 26 cm
Radius of the circle (r) = 26/2 = 13 cm
[tex]A_{circle} = \pi {r}^{2} \\ \\ A_{circle} = 3.14 \times {(13)}^{2} \\ \\ A_{circle} = 3.14 \times 169 \\ \\ A_{circle} =530.66 \: {cm}^{2} [/tex]
Answer:
The area of 530.66 cm squared.
Option (a) 530.66 cm² is the correct answer.
Step-by-step explanation:
Given :
Diameter of circle = 26 cm.To Find :
Radius of circle Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\red{R = \dfrac{D}{2}}}}}}}[/tex]
R = Radius D = Diameter[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}[/tex]
π = 3.14 r = radiusSolution :
Finding the radius of circle by substituting the values in the formula :
[tex]{\longrightarrow{\sf{Radius = \dfrac{D}{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = \dfrac{26}{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = \cancel{\dfrac{26}{2}}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = 13}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 13 \: cm}}}}}[/tex]
Hence, the radius of circle is 13 cm.
[tex]\rule{200}2[/tex]
Now, finding the area of circle by substituting the values in the formula :
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = 3.14 \times {(13)}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times {(13 \times 13)}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 169}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314 \times 169}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{53066}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = 530.66}}}[/tex]
[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = 530.66 \: {cm}^{2}}}}}}}[/tex]
Hence, the area of circle is 530.66 cm².
[tex]\rule{300}{1.5}[/tex]
What is the are a square with a side length of 3x + 4.
Which statement best describes the graph
Answer:
Something with coordinates lines and negative and positive numbers.
Answer:
A graph is usually consisted with coordinates lines and negative and positive numbers. There must be a y axis and x axis.
Because you have not listed the statements, whatever statement is closest to this is the correct option.
The fastest roller coaster in the world is located in New Jersey. It travels 27 miles per hour.
Answer: Kingda Ka is a launched roller coaster located at Six Flags Great Adventure in Jackson, New Jersey. Designed by Werner Stengel, Kingda Ka is an Accelerator Coaster model from Intamin that opened as the tallest and fastest roller coaster in the world on May 21, 2005.
Step-by-step explanation:
what is 41% of 53????
Answer:
21.73
Step-by-step explanation:
calculator
Lisa would like to buy some furniture for the new home. Good Home Furniture offered her the maximum payment credit for the furniture she can buy of $50 a week for one year. The annual interest rate of that commercial loan is 8.5%, assuming compounding weekly. How much furniture can Lisa afford to purchase using the credit offered by the store? (2 marks) g)
Answer:
i don't know the right answer plse
What are the coordinates of R'?
OR'(4-1)
OR'(-4,1)
OR (1.4)
OR'(-1,-4)
Answer:
OR' (-4,1)
Step-by-step explanation:
Answer is OR' (-4,1)
Hope it helps!
Please mark as brainliest and thanks!
Byeee!
what is this equation simplafied? 2(n+7)+8
Answer:
2n+22
Step-by-step explanation:
Question 4
There are 15 members in a bicycle club this fall. By next summer, Ming hopes the number of members will be 140% of this number. What is
Ming's goal for the number of members next summer?
Ming's goal for the projected number of members next summer is the product of percentage increase and the current number of members, which is 21
Given the Parameters :
Present number of members in club = 15 Expected percentage rise = 140%The projected number of members next summer can be calculated thus :
Current number × Expected percentage rise 15 × 140%15 × 1.4 = 21Therefore, Ming expects to see the number of members rise to 21 next summer.
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Answer:
It's 36 :)
Step-by-step explanation:
HELP MEEEE PLEASEEEEEEEEEEEEEE
Answer:
a = 4
Step-by-step explanation:
a^2 + b^2 = c^2
a= ?
b= 3
c= 5 (c is always the hypotenuse)
*plug in given values
a^2 + 3^2 = 5^2
a^2 + 9 = 25
-9 -9
a^2 = 16
*find the square root
sqrt(a) = sqrt(16)
a = 4
Answer:
a = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Leg a = a
Leg b = 3
Hypotenuse c = 5
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 3² = 5²[Subtraction Property of Equality] Isolate a term: a² = 5² - 3²Evaluate exponents: a² = 25 - 9Subtract: a² = 16[Equality Property] Isolate a: a = ±4Since we are dealing with a regular right triangle and not a quadrant triangle, we use the positive root.
∴ a = 4
Solve for f
-5f +5 < 15
Question 1 options:
f < 8
f > -2
f = 3
f < 2
I NEED HELP ASAP
Step-by-step explanation:
step 1. -5f + 5 < 15
step 2. -5f < 10 (subtract 5 from each side)
step 3. f > -2 (divide both sides by -5 - dont forget to flip arrow when dividing by a negative number).
Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.
Answer:
.40 cents each.
Step-by-step explanation:
$3.20/8=.40
solve the following problems
Answer:
Explanatoin:
A party rental company has chairs and tables for rent. The total coast to rent 5 chairs and 6 tables is $65. The total coast to rent 3 chairs and 2 tables is $25. What is the coast to rent each chair and each table
Answer:
here this is the answer
106
Find tan(B) in the triangle.
Step-by-step explanation:
tan = perpendicular / base
acc. to diagram ,
angle C = 90°
such that
AB is hypotenuse
acc to theta ,
AC is perpendicular and BC is base
therefore
tan theta = AC / BC
tan theta = 8/15
(Just because the question is already answered does not make it complete)
Show the work for the answer
x=³√27
x = 3
Solve -4x <_-8. Graph the solution.
Answer:
BStep-by-step explanation:
-4x <_ -8
x <_ -8 ÷-4
x <_ 2
MARK ME BRAINLISTPLZ FOLLOW MEPLZ HELP PLZ HELP
SELECT ALL MEASURMENTS THAT ARE ABOUT 1 YARD LONG
Length of student desk
Height of classrom'
Width of classroom door
Height of building
Length of a movie ticket
Answer:
c
Step-by-step explanation:
how sq ft in a room 12 x 12
Answer:
[tex]\boxed{\fcolorbox{144 ft^{2} }}[/tex]
what is 4(d+6c)
please help me
Answer:
23d
Step-by-step explanation:
Answer:
4d +24c
Step-by-step explanation:
