Answer:
x = 3, x = [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
(a)
The first step is to subtract 23x from both sides, that is
7x² - 23x + 6 = 0 ← in standard form
(b)
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 = 7 × 6 = 42 and sum = - 23
The factors are - 21 and - 2
Use these factors to split the x- term
7x² - 21x - 2x + 6 = 0 ( factor the first/second and third/fourth terms )
7x(x - 3) - 2(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(7x - 2) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]
PLEASE HELP ME 15 POINTS ILL HIVE BRAINIEST
jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purchased, the value of the savings bond was $210. find the value of the bond when jacks mom purchased it.
Answer:
209.95
Step-by-step explanation:
Quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. vertex A is at (-5,2) , and vertex A' is ay (2,-2), quadrilateral ABCD is translated blank..... if vertex B is at (-6,5), then vertex B is at
Answer:
(-1,3)
Step-by-step explanation:
Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).
The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.
The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.
As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.
The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).
Hence, the vertex of point B' is (-1,3).
The gardening store sells clay flower pots, which hold 2 litres of dirt, and ceramic flower pots, which hold 7 litres. Tara bought 35 flower pots, which will hold a total of 150 litres of dirt. How many of each flower pot did she buy?
Answer:
The number of clay flower pots = x = 19
The number of ceramic flower pots = y = 16
Step-by-step explanation:
Let
The number of clay flower pots = x
The number of ceramic flower pots = y
Tara bought 35 flower pots
= x + y = 35
x = 35 - y
The gardening store sells clay flower pots, which hold 2 litres of dirt, and ceramic flower pots, which hold 7 litres. Tara bought 35 flower pots, which will hold a total of 150 litres of dirt.
Hence:
2x + 7y = 150.... Equation 2
Substitute 35 - y for x in Equation 2
2 (35 - y) + 7y = 150
70 - 2y + 7y = 150
-2y + 7y = 150 - 70
5y = 80
y = 80/5
y = 16 flower pots
x = 35 - y
x = 35 - 16
x = 19 flower pots
The number of clay flower pots = x = 19
The number of ceramic flower pots = y = 16
Answer:
The number of clay flower pots = 19
The number of ceramic flower pots = 16
Step-by-step explanation:
What is the answer to the question?
Help help help help me
This is very important (◕દ◕)
9514 1404 393
Answer:
C) √3
Step-by-step explanation:
The repeating decimals are both single digits, beginning at the decimal point. So, their equivalent is that digit divided by 9:
[tex]0.\overline{4}=\dfrac{4}{9}\\\\0.\overline{9}=\dfrac{9}{9}=1[/tex]
This means the given expression can be simplified to ...
[tex]\dfrac{3\sqrt{0.\overline{4}}+\sqrt{0.\overline{9}}}{\sqrt{3}}=\dfrac{3\sqrt{\dfrac{4}{9}}+\sqrt{\dfrac{9}{9}}}{\sqrt{3}}=\dfrac{3\cdot\dfrac{2}{3}+1}{\sqrt{3}}=\dfrac{3}{\sqrt{3}}=\boxed{\sqrt{3}}[/tex]
I need help
(practice quiz)
Answer
slight
Step-by-step explanation:
But Never zero
Determine the domain of the following graph:.....
Domain: possible x values
Between -10 and 6
Solution: -10 < x < 6
What is the slope of the line that passes through the points (-3, -3) and (-9, 5) Write your answer in simplest form.
Step-by-step explanation:
The slope of the line is -4/3.
A room is 12m 15m long and 8m 91 cm broad .The floor of the room is tobe paved with squared tiles find the lenght of the largest tile that can be used
Answer:
81 cm
Step-by-step explanation:
Length of a room = 12m 15cm
Width of a room = 8 m 91 cm
12 m 15 cm = 1200 cm + 15 cm = 1215 cm
8 m 91 cm = 800 cm + 91 cm = 891 cm
The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.
To find it we can find the HCF of 1215 cm and 891 cm.
Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5
Prime factorization of 891 = 3 x 3 x 3 x 3 x 11
HCF = 3 x 3 x 3 x 3
= 81
Hence, the length of the largest tile that can be used is 81 cm.
xx squared - XY + x squared - xy
Answer and Step-by-step explanation:
[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]
This is the answer.
In case your expression is:
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]
Add similar elements: x²+x² = 2x²
[tex]=2x^2-xy-xy[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=2x^2-2xy[/tex]
Thus,
[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]
In case your expression is:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=x^2-2xy+\left(xx\right)^2[/tex]
as (xx)² = x⁴
so [tex]=x^2-2xy+x^4[/tex]
Therefore, we conclude that:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-2xy+x^4[/tex]NEED ANSWER ASAP PLEASE TYSM
Answer:
1
Step-by-step explanation:
the answer to this question is 1, you need to multiply all sides together to get the volume (5/4)(4/3)(3/5) is one
hopefully this is right
The formula for the volume of a cone is v= 1/3 xr^2 h. The radius, r, of the cone may be expressed as
Answer:
r=√(3v)/(xh)
Step-by-step explanation:
the volume of a cone is given as
v= 1/3 xr^2 h. Then we need the radius, r, of the cone
v= 1/3 xr^2 h
Let us cross multiply we have
3v= xr^2h
Make r^2 subject of the formula we have
r^2= 3v/xh
Find the square root of bother sides we have
r=√(3v)/(xh)
the radius, r, of the cone can be expressed as r=√(3v)/(xh)
A case of tacks weighs 1.29 kilograms. There are 7 boxes in each case, each box having the same weight. How much does each box weigh?
Answer:
Each box weighs 0.18 kilogram.
Step-by-step explanation:
We can do proportions to solve.
[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]
Two more than 16 times a number is the same as 21
less than the product of -7 and the number.
Please show your work thank you
Answer:
2*16n = 21 -7n
Step-by-step explanation:
hope this helps :)
33-(2c + 4) = 2(c + 7) +C
Answer:
c=3
Step-by-step explanation:
Which equation best represents the data shown in the scatter plot below?
Answer:
y=3/2x+3
Step-by-step explanation:
Answer:
y=3/2x+3
Step-by-step explanation:
How many years will it take an investment to double at 6.4% compounded monthly? (Round to the nearest tenth))
Answer:
Number of Years to Double= 10.62 years
Step-by-step explanation:
First, we need to calculate the real annual interest rate:
Real annual interest rate= {[(i/12)+1]^12} - 1
Real annual interest rate= [{(0.064/12) + 1]^12 - 1}
Real annual interest rate= 0.0659
Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.
Number of Years to Double= 70/Annual Rate of Return
Number of Years to Double= 70/6.59
Number of Years to Double= 10.62 years
1/2% of 412
with work
Answer:
1.5% x 412 = 618?
Step-by-step explanation:
Answer:
103/50
Step-by-step explanation:
Simplify
1/2
100
(412)
Hi, i need help Pleases.
Answer:
D. it has all the odd number in between 2-20 and in order
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Those are all the odd numbers between 2 and 20
Which graph represents a relation that is also a function?
( look at the graph and help me pls )
kolik má čtverec rohů
Answer:
4
Step-by-step explanation:
Avril wrote the expression 4(x + 3) to represent the area of a rectangle. Which expression is an equivalent representation of the area?
А
4x + 3
B
x(4+3)
С
4x + 12
D
3(x + 4)
Answer:
It is 4x + 12
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa. Which city gets more rain and how much more?
Answer:
Miami gets 6.12 inches more rainfall.
Step-by-step explanation:
Given that the average rainfall (in inches) in Miami for 5 months are 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68,
So, the total rainfall in Miami in 5 months,
R_M = 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02 inches
and the average rainfall (in inches) in Tampa for 5 months are 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69.
The total rainfall in Tampa in 5 months,
R_T = 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9 inches.
The difference between the total rainfall in Miami and Tampa is 25.02-18.9= 6.12 inches.
The total rainfall in Miami is 25.02 inches while the total rainfall in Tampa in the same time period is 18.9 inches.
Therefore, Miami gets 6.12 inches more rainfall during the same time period.
construct a 2x2 matrix whose element are given by i+j
9514 1404 393
Answer:
see below
Step-by-step explanation:
Assuming i and j refer to the row and column of a given element, that matrix would be ...
[tex]\left[\begin{array}{cc}2&3\\3&4\end{array}\right][/tex]
__
Rows are numbered top down, starting with 1. Columns are numbered left-to-right, starting with 1. The upper left element is in row 1, column 1, so has a value here of 1+1 = 2. Each number is one more than the one to its left. Each number is 1 more than the one above it.
Can someone answer for E please? This is my 34th question and this is probably easy but my brain cant handle any more. Will mark brainliest
Step-by-step explanation:
4/3 = -6e - 5/3
6e = -4/3 - 5/3
6e = -9/3 = -3
e = -0.5
Answer:
The equation is always false
Step-by-step explanation:
Complete the explanation of how an estimate helps you to place the decimal point when multiplying 1.8 × 5.4.
The sum of two consecutive odd integers is 150. what are the two integers ?
Answer:
75..............................
Given vectors u = ⟨–3, 2⟩ and v = ⟨2, 1⟩, what is the measure of the angle between the vectors? 7.1° 60.3° 119.7° 172.9°
Answer:
C) 119.7°
Step-by-step explanation:
got it right on edge :)
The school is using a bus to go on a field trip. The bus has 40 seats that each fit 2 people. How many busses would be needed to transport 560 students?
Answer: 7 buses
Step-by-step explanation:
hope this helps!
7th grade math help me pleaseee
no, -6+2= -4
not -6 +(-2)
which table of values can be defined by the function y = 4x - 2
Answer:
x y
-4 -18
-2 -10
0 -2
2 6
4 14
Step-by-step explanation: