[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]
A school choir is made up of girls and boys in the ratio 4:3.There are 35 students altogether. How many students are boys.
Answer:
15 boys
Step-by-step explanation:
Step 1: Set up the equation.
[tex]4x + 3x = 35[/tex]Step 2: Combine like terms.
[tex]7x=35[/tex]Step 3: Divide both sides by 7.
[tex]\frac{7x}{7} =\frac{35}{7}[/tex] [tex]x = 5[/tex]Step 4: Plug in the value of 5 for x in 3x.
[tex]3(5)[/tex] [tex]15[/tex]Therefore, the answer is 15 boys.
20 decreased by the product of 5 and a number x
True or false: Least squares regression problems always have a unique solution, since they are modelled by the normal equation
Answer: (((trueeee))))
Since the least squares problem always has a unique solution. Therefore, the given statement is true.
The given statement is "Least squares regression problems always have a unique solution since they are modelled by the normal equation".
Do least squares always have a unique solution?The least squares problem always has a solution. The solution is unique if and only if A has linearly independent columns. S equals Span(A) := {Ax : x ∈ Rn}, the column space of A, and x = b.
Therefore, the given statement is true.
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The diagram shows a trapezium.
B
D
Diagram NOT accurately drawn
AD = x cm.
BC is the same length as AD.
AB is twice the length of AD.
DC is 4 cm longer than AB.
The perimeter of the trapezium is 38 cm.
Work out the length of AD.
Perimeter implies the total length of sides of a given figure. Thus the length AD = 4.75 cm.
A plane figure is any type of figure bounded by four straight sides. Examples are square, rectangle, trapezium, rhombus, etc. A trapezium is a type of plane figure which belongs to a family referred to as quadrilaterals.
The perimeter of a given shape is the sum of the length of its boundaries or sides.
Thus the length AD required in the question can be determined by:
AD = x cm
BC = x cm
AB = 2x cm
DC = 4x cm
Perimeter = AD + BC + AB + DC
= x + x + 2x + 4x
Perimeter = 8x
But the perimeter of the trapezium has been given as 38 cm.
Thus,
38 = 8x
x = [tex]\frac{38}{8}[/tex]
= 4.75
Therefore, the length of AD is 4.75 cm.
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Determine whether each equation represents a linear or nonlinear function.
Drag each equation into the appropriate box.
Linear Function Nonlinear Function
y = {x-6
y = (x - 5)2
y = 2* +8
y = 3(x + 7)
y = 4x3 - 1
Answer:
y=1/2x=6 - linear, written as y=mx+b.
y=(x-5)^2 - nonlinear, x has an exponent greater than 1
y=2^x+8 - nonlinear, x is an exponent
y=3(x+7) - linear, can be written as y=mx+b (y=3x+21)
y=4x^3-1 - nonlinear, x has an exponent greater than 1
Step-by-step explanation:
i need help i can’t understand how to solve it so pls help
=====================================================
Work Shown:
1st term = -42nd term = -2*(1st term)+6 = -2*(-4)+6 = 143rd term = -2*(2nd term)+6 = -2*14+6 = -224th term = -2*(3rd term)+6 = -2*(-22)+6 = 50The first four terms are: -4, 14, -22, 50
The idea is to start with the first term (-4) and use the template [tex]\text{nth term} = -2*(\text{previous term}) + 6[/tex] to generate each new term. We multiply the previous term by -2, then add on 6. This is exactly what the recursive equation [tex]a_n = -2(a_{n-1})+6[/tex] is indicating.
Lucy can type 300 words in 5 minutes. How many words can Lucy type in 27 minutes?
Answer:
1620 wordsStep-by-step explanation:
Given,
Number of words Lucy can type in 5 minutes
= 300 words
So,
Number of words Lucy can type in 1 minute
[tex] = \frac{300}{5} \: words[/tex]
= 60 words
Therefore,
Number of words Lucy can type in 27 minutes
= (60 × 27) words
= 1,620 words
Hence, Lucy can type 1620 words in 27 minutes.
use the figure to find the value of PT.
PT = 5x + 7 and TQ = 9x-5
Round 14.63486 to 3 decimal place
Answer:
15 would be the rounded up number.
Can someone tell me which one is the answer? Am I wrong or correct?
Answer:
I don't believe your wrong mate
help please and thank u
Answer:
The line is y = (1/2)x + 3
Step-by-step explanation:
We can calculate a slope. I'll use the two points (-4,1) and (-1,2.5).
Rise = (2.5-1) = 1.5
Run = (-1-(-4)) = 3
Rise/Run = Slope = (1.5/3.0) = 1/2
Find b, the y-intercept, by using point (-4,1) in the equation y = (1/2)x + b
y = (1/2)x + b
1 = (1/2)*(-4) + b
1 = -2 + b
b=3
The line is y = (1/2)x + 3
Ashley has 10 skirts in her closet.
2 skirts are blue
3 skirts are red
4 skirts are green
1 skirt is pink
Ashley randomly selects 2 skirts without replacement. The outcome of the second skirt is —
Answer:
the highest choices are red and green
HELP ME ASAP i could rly use it
Answer:
B-at the second line
Step-by-step explanation:
hope it can help you lovelots
#LEARN WITH BRAINLY
[tex]x^2 +6x +18 =0\\\\\implies x^2 + 2 \cdot 3 \cdot x + 3^2 -3^2 +18 =0\\\\\implies (x+3)^2 -9 +18 =0\\\\\implies (x+3)^2 +9 =0\\\\\implies (x+3)^2 =-9[/tex]
(a/b)^-3 x (a^2 b)^2 x (b^3)^0
Answer:
A^7x^2/B
Step-by-step explanation:
Jenny has three times as many new toys as she has favorite toys.
answer:
3x = y
step-by-step explanation:
૪・ i am inferring you have to create an equation?
・jenny have three times = 3x
・as her fav toys — 3x = y
・new toys = y
・fav toys = x
Which one is linear or nonlinear?
Answer:
broo I have to download it just take a screenshot.....
Given: F(x)=3 x^2 + 1, G(x)= 2 x-3 , H(x)=x
F(G(x))=
Answer:
f(g(x)) = 12x² - 36x + 28
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x) )
= f(2x - 3)
= 3(2x - 3)² + 1 ← expand factor using FOIL
= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3
= 12x² - 36x + 27 + 1 ← collect like terms
= 12x² - 36x + 28
It took 5 days for a committee of 7 pupils to clean the auditorium for the school program. How many days would have taken the committe of 10 pupils to do the same work?
Answer:
3.5 days
Step-by-step explanation:
If it takes 7 pupils 5 days, then it would take 1 pupil 7 times as long, or 35 days.
1 pupil alone cleans the auditorium is 35 days.
10 pupils work 10 times faster than 1 pupil, so 10 pupils take 3.5 days.
help me please you will get points and i need this quick
Answer:
C or B of are the answer choices left hope this helps
[tex]8x + 15 \leq 60\\ solve for x then graph the inequality[/tex]
Answer:
x ≤ 5 5/8
Step-by-step explanation:
8x +15 ≤ 60 . . . . . . given
8x ≤ 45 . . . . . . . . . subtract 15
x ≤ 5 5/8 . . . . . . . . divide by 8
The graph is a solid dot at x = 5 5/8, with shading extending to the left.
What is the answer explain please
Answer:
Pattern B
Explain:A quadratic relationship is characterized by constant second differences.
Pattern A
Sequence: 0, 2, 4, 6
First Differences: 2, 2, 2 . . . . constant indicates a 1st-degree (linear, arithmetic) sequence
__________________________________________________________
Pattern B
Sequence: 1, 2, 5, 10
First Differences: 1, 3, 5
Second Differences: 2, 2 . . . . constant indicates a 2nd-degree (quadratic) sequence
__________________________________________________________
Pattern C
Sequence: 1, 3, 9, 27
First Differences: 2, 6, 18
Second Differences: 4, 12 . . . . each set of differences has a common ratio, indicating an exponential (geometric) sequence
__________________________________________________________
Pattern B shows a geometric relationship between step number and dot count.
[tex]\{ x - ( \frac { x } { 5 } + 60 ) \} = \{ ( \frac { 4 } { 5 } ) x - 60 \}[/tex]
help plssssssss
If you are asking for the value of x, then x = not defined because dividing a value by 0 will always give you a non-defined answer. So, x can be equal to any number (there can be infinite values).
Next, if you want to prove that both the statements are true, then yes it's true because RHS = LHS = 0.
Check the 2 attachments for the steps.
______
RainbowSalt2222 ☔
Answer:
infinite number of solutions
Step-by-step explanation:
x - ([tex]\frac{x}{5}[/tex] + 60) = [tex]\frac{4}{5}[/tex] x - 60 ← distribute parenthesis on left by - 1
x - [tex]\frac{x}{5}[/tex] - 60 = [tex]\frac{4}{5}[/tex] x - 60 , collect like terms on left side
[tex]\frac{4}{5}[/tex] x - 60 = [tex]\frac{4}{5}[/tex] x - 60
Since expressions on both sides are equal then any value of x is a solution.
That is there is an infinite number of solutions
Which of the following is NOT classified as nonverbal communication a. Signs b. Eye Contact c. Body language d. Gestures
Answer:
american sign language (ASL)
There are 48 people in the stands cheering for ——— at the volleyball game and they are wearing white and maroon shirts. The ratio of marron to white is 5:3. How many people were wearing white shirts?
someone please help me ASAP!!!
Answer:
14.1372 m
Step-by-step explanation:
One-fourth of a number increased by thirteen is less than two.
Answer: x < -44
Step-by-step explanation:
alright my fellow dude gamer, i want you to know that "a number" is basically just x
so lets do this
[tex]\frac{1}{4}x + 13 < 2[/tex]
ok now we are going to solve for x, no?
[tex]\frac{1}{4}x < -11[/tex]
i just subtracted 13 from both sides
now we divide -11 by 1/4
[tex]x < -44[/tex]
MAGIC! ABSOLUTELY FANTASTIC! OH MY GOODNESS AHHHHHHH
Step by step solve 18×20, I find double 18 and then multiply by 10
Yoo muning1027
( fréé pøints)
Answer:
thx for points ....,..................
Can someone please help me with part b?
Answer:
x-intercept(s): (-2, 0), (6, 0)
y-intercept(s): (0, -6)
Step-by-step explanation:
An x-intercept represents the point(s) at which the parabola intersects the x axis. A parabola can have 0, 1, or 2 x-intercepts.
A y-intercept represents the point at which the parabola intersects the y axis. A parabola always has exactly 1 y-intercept.
Hope it helps :) and let me know if you're still confused.
4. In the diagram below, ZABD = (4x + 3)º and DBC = (7x-6)º.
a
Create an equation
AI
b. Solve for x.
D
B
c. Determine the measure of ZABD.
Answer:
Step-by-step explanation:
a) ∠ABD + ∠DBC = 90°
4x - 3 + 7x - 6 = 90
4x + 7x - 3 - 6 = 90
11x - 9 = 90
11x = 90 + 9
11x = 99
x = 99/11
x = 9
∠ABD = 4*9 - 3 = 36 - 3 = 33