Answer:
18
Step-by-step explanation:
You solve the inner first, then move to the outer.
Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.
We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.
Q14.
Solve the simultaneous equations
2x - 3y = 24
6x + 2y = -5
landimorament
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Evaluate.
(2/7)^3
A: 8/343
B: 8/7
C: 3/343
D: 6/7
Answer:
8/343
so A
Step-by-step explanation:
A tree is 72 feet (ft) tall. How many inches (in) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
1 foot = 12 inches:
1/72 = 12/x
Cross multiply:
1x = 72 * 12
x = 864 inches
Please help I’ll mark brainliest if u give a small explanation
State the number of complex roots and the possible number of real and imaginary roots for each equation. The find all roots? If possible.
Answer:
x =2
x = -2
Step-by-step explanation:
(x - 2)(x + 2)(x^2 + 4) = 0
(x - 2) = 0
x = 0 + 2
x = 2
(x + 2) = 0
x = - 2
x = - 2
(x^2 + 4) = 0
x^2 = 4
x = [tex]\sqrt{4}[/tex]
x = 2
indicate in standard form the equation of the line passing through the given points, in the equation box below. X(0, 6), Y(5, 6)
Answer:
0x + y = 6
Step-by-step explanation:
Equation of the Line
The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It can be later converted to any other form of the line. For example, the standard form is:
[tex]Ax + By = C[/tex]
Let's find the equation by using the given points (0,6) (5,6):
[tex]\displaystyle y-6=\frac{6-6}{5-0}(x-0)[/tex]
Operating:
[tex]\displaystyle y-6=\frac{0}{5-0}(x-0)[/tex]
y - 6 = 0
Or, equivalently:
0x + y = 6
This corresponds to a horizontal line
the is factoring quadratics with a leading coefficient: 5x to the 2 power - 14x + 8
Answer:
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
Step-by-step explanation:
Given quadratic polynomial is:
[tex]5x^2-14x+8[/tex]
To factor a quadratic polynomial with leading co-efficient has to be factorized, the leading co-efficient and the constant are multiplied and pairs(a,b) of the product are made so that their sum or subtraction is equal to the co-efficient of x
We get 40 by multiplying 8 and 5
And the pair we get are: 10 and 4
[tex]=5x^2-10x-4x+8\\=5x(x-2)-4(x-2)\\=(5x-4)(x-2)[/tex]
Hence,
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
A taxi cab charges a flat fee of $1.75 plus $0.30 for each half-mile or fraction of a half-mile.
a) Fill in the chart.
b)write and equation for the function.
Answer:
a) there is no chart but we can elaborate one:
taxi fee half-miles driven
$1.75 0
$2.05 1
$2.35 2
$2.65 3
$2.95 4
$3.25 5
$3.55 6
b) y = 0.3x + 1.75
where:
y = taxi fee
x = half miles driven
2. Graph x < 8 and x > -1.
Answer:
I'll try my best in explaining the steps.
Considering both signs are greater than and less than sign, its an open circle.
For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.
For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.
Step-by-step explanation:
The trapezoids are similar shapes. Find the lengths
Write the slope-intercept form of the equation of the line described. through (2, -5) perpendicular to y = 1/3x -1
Answer:
y = -3x + 1
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.
Plug in the slope and given point into y = mx + b
y = mx + b
-5 = -3(2) + b
-5 = -6 + b
1 = b
Then, plug in the slope and y intercept into y = mx + b again:
y = -3x + 1 will be the equation of the line
A sequence of steps for solving the equation 3(x - 2) = 4 is shown. Match a property to each blank box to show the reason for each step. Question 6 options: 3(x - 2) = 4 3x - 6 = 4 3x = 10 x = 103 1. Given 2. Distributive Property 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Given the equation;
3(x-2) = 4
A sequence of steps for solving the equation is as shown;
Step 1: Open the parenthesis by applying distributive law to distribute 3 over x and 2 as shown;
3(x-2) = 4
3(x)- 3(2) = 4
3x - 6 = 4
Step 2: Add 6 to both sides of the equation (Addition property)
3x-6+6 = 4+6
3x = 10
Step 3: Division property of equality. Divide both sides by 3;
3x = 10
3x/3 = 10/3
x = 10/3
Can someone please help, ty!!
(Will mark brainliest)
Answer:
Yellow is correct.
You can add the valued and divide by how many values there are to find the mean
The score of 20 is an outlier and brings the mean score down by almost 10%
Step-by-step explanation:
Answer:
3: The low score causes the mean to decrease.
Step-by-step explanation:
If you add a significantly lower number, it will bring down the overall average.
Hope this helps!
The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 30 students in the chorus, how many are girls and how many are boys.
girls 3 parts
boys 2 parts
Answer:
it should be girls 12 to 18
Step-by-step explanation:
i just messed around with a calculator and found it.
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?
Answer:
25
Step-by-step explanation:
Question 5 of 8
Put these substances in order of density with the most dense first and the
least dense last.
1 iron
Trubber
cotton ball
Ti helium
Answer:
cf
cf
centru. toc htc. toc cf. activ. cfc fgfvxv. chvv
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
If f(x) = -3x + 4, find f(-4)
Answer:
Step-by-step explanation:
-3x+4
-3(-4)+4
12+4
16
Answer:
3x+4
3(-4)+4
12+4
16
Step-by-step explanation:
The length of a rectangle is twice the width if the perimeter of the rectangle 60 units find the area of the rectangle
Answer:
200
Step-by-step explanation:
Length = 2w
2w + 2l = 60
substitute l out with 2w
2w + 2(2w) = 60
2w + 4w = 60
w = 10
l = 20
Area = w • l
= 10 • 20
= 200
help me please somone
Answer:
Iscoccecles
Sorry if i spelled it wrong.
Step-by-step explanation:
Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).
Answer:
Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Step-by-step explanation:
We need to write equation of line having slope -2 and point (9,2)
a) Equation in Point Slope Form
The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where x₁ and y₁ are the points of line and m is slope.
x₁=9 and y₁=2 and m=-2
Putting values in formula and finding equation:
[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]
So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
b) Equation in Slope Intercept Form
The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
Finding y-intercept using slope m=-2 and point(9,2)
[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]
The equation in slope m=-2 and b=20 is:
[tex]y=mx+b\\y=-2x+20[/tex]
So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
yler's brother earns $12 per hour. The store offers him a raise— a 5% increase per hour. after the raise,how much will tyler make per hour
Answer:
$12.60
Step-by-step explanation:
12/100 × 12 = 0.60
12 + 0.60 = 12.60
Helpppppppppppppp
asappppppppppp
Answer:
180-112=68
Step-by-step explanation:
find area of triangle formed by (1,1) (2,3) (4 ,5) using heron's formula
Answer:
The area of a triangle is:
A = 1 unit²Step-by-step explanation:
Given the points of a triangle
A(1, 1)
B(2, 3)
C(4, 5)
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Distance between AB:
[tex]AB=\sqrt{\left(2-1\right)^2+\left(3-1\right)^2}[/tex]
[tex]=\sqrt{1+4}[/tex]
[tex]=\sqrt{5}[/tex]
so
[tex]a=\sqrt{5}[/tex]Distance between BC:
[tex]BC=\sqrt{\left(4-2\right)^2+\left(5-3\right)^2}[/tex]
[tex]=\sqrt{2^2+2^2}[/tex]
[tex]=\sqrt{2^3}[/tex]
[tex]=2\sqrt{2}[/tex]
so
[tex]b=2\sqrt{2}[/tex]Distance between AC:
[tex]AC=\sqrt{\left(4-1\right)^2+\left(5-1\right)^2}[/tex]
[tex]=\sqrt{3^2+4^2}[/tex]
[tex]=\sqrt{5^2}[/tex]
[tex]=5[/tex]
so
[tex]c=5[/tex]Semiperimeter = sum of sides ÷ 2
[tex]s=\frac{\sqrt{5}+2\sqrt{2}+5}{2}=5.03224[/tex]
Area of the triangle:
[tex]A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}[/tex]
[tex]a=\sqrt{5}[/tex][tex]b=2\sqrt{2}[/tex][tex]c=5[/tex][tex]A=\sqrt{s\left(s-\sqrt{5}\right)\left(s-2\sqrt{2}\right)\left(s-5\right)}[/tex]
[tex]A=\sqrt{5.03224\dots \left(5.03224\dots -\sqrt{5}\right)\left(5.03224\dots -2\sqrt{2}\right)\left(5.03224\dots -5\right)}[/tex]
[tex]A=1[/tex]
Therefore, the area of a triangle is:
A = 1 unit²What is 8.15 rounded to the nearest whole number
Answer:
the answer is 8.
Step-by-step explanation:
Brainliest? uwu
Answer:
8 :)
You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.
#12: Kara is deciding between The Lyme Point Inn and Ever After Farms for 1 point
her wedding reception. The Lyme Point Inn charges $3,000 for the venue
and $100 for each meal. Ever After Farm charges $5,400 for the venue and
$70 for each meal. Write and solve an equation to find the number of
meals at which the total cost charged by the two venues would be the
same. *
Your answer
ooo
Answer:
80 meals
Step-by-step explanation:
Set up an equation where x is the number of meals:
100x + 3000 = 70x + 5400
Solve for x:
100x + 3000 = 70x + 5400
30x + 3000 = 5400
30x = 2400
x = 80
So, at 80 meals, the cost of the 2 venues will be the same
Answer:
80 metals
Step-by-step explanation:
100x + 3000 = 70x + 5400
How to Solve for x:
100x + 3000 = 70x + 5400
30x + 3000 = 5400
30x = 2400
x = 80
So, at 80 meals, the cost of the 2 venues will be the exact same
Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b
Answer:
a = b = 1
Step-by-step explanation:
x² - 2x + 2 = ( x - a )² + b
x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1
a = b = 1
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?
A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies
(Here is an image if needed) :
Answer:
2 7/20
Step-by-step explanation:
5 yds=? Ft (PLEASE HELPP!!!)
Answer:
5 yards = 15 feet
Step-by-step explanation:
Following the formula that for every 1 yard we have 3 feet.
x = amount of yards
y = amount of feet per yard
z = amount of feet total
[tex]x * y = z[/tex]
Substitute:
[tex]5 * 3 = z[/tex]
[tex]15 =z[/tex]
Final answer:
5 yards = 15 feet
2+4 i need help right now
Answer:
6?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
2 + 4 =6
just add 2 by 4 than ans 6
Give the values of the coefficients [a], [b], and [c], regarding the product in the form of ax^2-bx + xy - cy. Use "0" if the term isn't present.
Answer:
[tex]x^{2} -6x+xy-6y[/tex]
Step-by-step explanation:
Answer:
The values of coefficients a, b and c are
a=1
b=6
c=6
Step-by-step explanation:
We need to give the values of coefficients [a],[b] and [c] regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]
The term given is: [tex](x+y)(x-6)[/tex]
First we will multiply the terms
[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]
Now comparing the product [tex]x^2-6x+yx-6y[/tex] with the given form [tex]ax^2-bx + xy - cy[/tex]
The values of coefficients a, b and c are
a=1
b=6
c=6