Step-by-step explanation:
y=-x+4
y=x-2
adding both the equations we get
2y=2
:. y=1
and putting the value of y in equation first we get
x=3
If a +b+c=9 and a square +b square +square =1 then ab+bc+ca
Answer:
ab + bc + ca = 40
Step-by-step explanation:
Using the expansion identity
(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is
9² = 1 + 2(ab + bc + ca)
81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides
80 = 2(ab + bc + ca) ← divide both sides by 2
40 = ab + bc + ca
A chewing gum consists of 30% corn syrup and 40% sugar. The rest was made up by gum Arabic. Find the weight of the Gum Arabic in a 25gm piece of the chewing gum. Max points pls just bloody answer it
Answer:
7.5 grams
Step-by-step explanation:
The percent of gum Arabic is 100 -30 -40 = 30 %
30% of 25 g =
.30 * 25
7.5 grams
Answer:
[tex]7.5gm[/tex]
Step-by-step explanation:
Solution:
[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]
Let t=4 and u=6+2i. Find t+u.
The answer for the following question is 12i.
Answer:
t + u = 10 + 2i
Step-by-step explanation:
t + u
= 4 + 6 + 2i ← collect like terms
= 10 + 2i
Which of these expressions is equivalent to log (9.4)?
O A. log (9) + log (4)
O B. log (9) - log (4)
O c. 9. log (4)
O D. log (9) • log (4)
Answer:
log (9) + log(4)
Step-by-step explanation:
log (9.4)
Log (ab) = log (a) + log (b)
log (9) + log(4)
Answer:
A. log ( 9 ) + log ( 4)
Step-by-step explanation:
log( 9.4)
use log (a*b) = log (a) + log (b) to expand expression
log (9) + log (4)
Which value of y makes the equation 55/y = 5 true?
Answer:
11
Step-by-step explanation:
55/11=5
Gavyn was thinking of a number. Gavyn subtracts 8.3 from the number and gets an answer of 52.7. Form an equation with x from the information.
The cuboid and the triangular prism have the same volume. Find the value of x.
Answer:
x = 25
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular face and l is its length )
A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then
V = 20 × 20 = 400 cm³
The volume of the cuboid is calculated as
V = lbh = 3.2 × 5 × x = 16x
Given V = 400 cm³ , then
16x = 400 ( divide both sides by 16 )
x = 25
Mia takes a job with a starting salary of $40,000 for the first year. She earns a 3% increase each year. Write an equation for the partial sum of the geometric sequence used to model the situation and explain what an, n, Sn, and r represent (use a_n to represent an).
Answer:
The partial sum that models the situation
is Sn=a1(1 - rn)/(1 - r).
n = number of years Mia works this job
an = Mia's salary during her nth year
Sn = total amount Mia earns after n years
r = percent increase, represented as a decimal, plus 1, because the total salary is needed and not just the amount of each increase
Answer:
The partial sum that models the situation
is Sn=a1(1 - rn)/(1 - r).
n = number of years Mia works this job
an = Mia's salary during her nth year
Sn = total amount Mia earns after n years
r = percent increase, represented as a decimal, plus 1, because the total salary is needed and not just the amount of each increase
Step-by-step explanation:
What is the volume of the following rectangular prism? 1 3/4 1/2 i need a direct answer
Answer:
V = 0.375 units³
Step-by-step explanation:
The volume of a rectangular prism is V = lwh.
Where l is the length, w is the width, and h is the height.
Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.
V = lwh
V = (1)(¾)(½) units
V = (⅜) units
V = 0.375 units
Answer:
7/8
Step-by-step explanation:
Congruent angle pairs : find value of x and the value of y
The problem has been started for you.
What is the quotient?
86
86.6
86.ModifyingAbove 6 with bar
87
Answer:
the third one
Step-by-step explanation: 6 22 22 24
the quotient is 86.6666666 the repeating 6 is sometimes written with a bar above the .6 like
86.6 except the bar is on top of the second 6
if LMNO is a rectangle, and MO=54, what is the length of line NP?
answers
a.) 34
b.) 22
c.) 18
d.) 108
e.) 27
f.) cannot be determined
Answer:
27 is the correct answer
Answer:
27
Step-by-step explanation:
Is -2 a solution to 4x^(3)-x^(2)+16x-4
Answer:
Not a solution
Step-by-step explanation:
In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:
[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]
[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]
[tex]-32-40\stackrel{?}{=}0[/tex]
[tex]-72\neq0[/tex]
Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]
Why would there be a difference between percentages with the Empirical Rule and the actual percentages?
Answer:
Given that [tex]\int\limits^a_b {\frac{1}{2\pi } e^{-1/2} x} \, dx[/tex] is not the easiest equation to solve, and that
the values at the convenient ± 1 sigma,± 2 sigma,± 3 sigma are irrational
using the "rule-of-thumb" "empirical rule" is typically "close enough"
given that the whole probability analysis by definition has some uncertainty in it
Step-by-step explanation:
The percentages of a normal distribution data lies within three standard deviations of its mean for empirical rule while it's definite for actual percentages.
What is the empirical rule?The empirical rule is also referred to as the 68-95-99.7 rule and it can be defined as a rule in statistics which states that:
The middle 68% of a normal distribution would be within one standard deviation of its mean (µ ± σ).The middle 95% of a normal distribution would be within two standard deviations of its mean (µ ± 2σ).The middle 99.7% of a normal distribution would be within three standard deviations of its mean (µ ± 3σ).In Statistics, there is a difference between percentages calculated by using the empirical rule and the actual percentages because a normal distribution data lies within three standard deviations of its mean for the former but it is definite for the latter.
In conclusion, the empirical rule is more important to researchers and statistician because it can be used to determine outcomes and gain insight even when all the data aren't available.
Read more on normal distribution here: https://brainly.com/question/4637344
#SPJ6
PLEASE HELP!!!
Write the factored form of the least common denominator needed to simplify this expression
Answer:
(g+5)x(g-3)
Step-by-step explanation:
pls solve quickly !!
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
What is the rate of change of the function?
Answer:
3
Step-by-step explanation:
the rate of change of the function, or the slope is 3 because to get to one point from the other point in the line, you would have to go up 3 and over 1 (3/1) or just 3.
Hope this helps
Berapakah hasil dari
Dua belas di kali dua?
Answer:
24Step-by-step explanation:
[tex] = > 12 \times 2[/tex]
[tex] = 24[/tex]
Could someone please help me if you don’t mind?
Answer:
v = lhw
Step-by-step explanation:
[tex]\frac{v}{lh} = w[/tex]
v = lhw
Continue the number pattern for the next three terms 1,8,27.....,........,..........
Answer:
64, 125, 216
Step-by-step explanation:
1, 8, and 27 are perfect cubes, i.e., each is the cube of an integer, and they're perfect cubes of consecutive positive integers:
1 = 1³ = 1×1×1
8 = 2³
27 = 3³
Therefore, the next three-term numbers of the given sequence are:
64 = 4³
125 = 5³ and
216 = 6³
Therefore, the final sequence will look like this:
1, 8, 27, 64, 125, 216
5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).
Answer:
The coordinates of the point N is (2,3)
Step-by-step explanation:
For us to find the midpoint between two points
We use the midpoint formula which is;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
We start by finding the midpoint of AB to get the coordinates of the point M
A(-1,3) and B(7,-3)
(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)
Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N
C(1,6) and M (3,0)
(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)
is 2x+3y=5 a straight-line graph
Answer:
Yes, it is
Step-by-step explanation:
A straight line graph is of the general form;
y = mx + b
where m is the slope and b is the y intercept
We can rewrite what we have as
3y = -2x + 5
y = -2x/3 + 5/3
As we can see, it can be expressed in the general form and that makes it a straight graph
Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?
A) terms
B) products
C) variables
D) coefficients
Answer:
Co-efficients
Step-by-step explanation:
there is a number and variable.
Estimate each of the following using general rule:
a) 4345 + 6784
b) 6947 x 378
Answer:
a) 11,129
b) 2,625,966
I think that the answer
Jaheem has a goal running a total of 125 miles this month. Each day that he ran, he ran 7 miles. Which expression could Jaheem use to determine how many miles he has left to run after running for d days?
x a.
125 – 7d
x b.
7d + 125
x c. fraction numerator 125 over denominator 7 d end fraction
x d.
7d
Answer:
a. 125 – 7d
Step-by-step explanation:
Let d be the number of days.
Given the following data;
Total distance (month) = 125 miles
Distance covered per day = 7 miles
To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;
Total distance - distance covered per day = number of miles remaining
[tex] 125 - 7d [/tex]
please I need this question fast please
We have a linear function y=kx+b and we know that [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex] [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]
Solve the problem correctly and show ur work
1 . 3/5 ( 15x + 30 )
Answer:
9(x + 2)
Step-by-step explanation:
3/5(x+30)
multiply fractions
3(15x + 30)/5
factor 3(15x + 30) = 45(x + 2)
divide the numbers
45(x + 2)/5
45/5=9
= 9(x + 2)
Answer:
9x + 18
Step-by-step explanation:
[tex]\frac{3}{5} ( 15x + 30 )[/tex]
9x + 18
4x-5y+2x+4+6+9y+7x+2
Answer:
[tex]13x+4y+12[/tex]
Step-by-step explanation:
Combine all the like terms & then solve:
[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]
[tex]13x+4y+12[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]
Combining like terms, we have
= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]
= [tex] \: 13x + 4y + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Is the following shape a rectangle? How do you know?
3 A(3, 1 1/2), B(- 5, - 3) and C(7, - 2) are the vertices of triangle ABC. What are the coordinates of M, the midpoint of BC and of Q, the midpoint of AM?
