Answer:
x = -4 ±3
x = -7,-1
Step-by-step explanation:
x^2 + 8x = -7
1/2 B ^ 2 = 16
x^2 + 8x + 16 = 16 -7
(x + 4) ^2 = 9
x + 4 = ±3
x = -4 ±3
x = -7,-1
pls answer my question from the above picture
Answer:
Step-by-step explanation:
[tex]a^{m}* a^{n}=a^{m+n}\\\\\\(\frac{-1}{2})^{-19}*(\frac{-1}{2})^{8}=(\frac{-1}{2})^{-2x +1}\\\\(\frac{-1}{2})^{-19+8}=(\frac{-1}{2})^{-2x+1}\\\\\\(\frac{-1}{2})^{-11}=(\frac{-1}{2})^{-2x+1}[/tex]
As bases are equal in boht sides, we can compare the exponents.
-2x + 1 = -11
Subtract 1 form both sides
-2x = -11 - 1
-2x = -12
Divide both sides by -2
x = -12/-2
x = 6
Anyone ?? Know the answers to these both? Due tmr morning
Answer:
Just use m a t h w a y for the answer
Step-by-step explanation:
Thank me later,or dont thank me at all
[tex]3-\sqrt{x} 1-16x^{2}[/tex]
Answer:
Step-by-step explanation:
This equation turns out to be a quartic. I'm not sure what should be done with. I can't believe you were asked to find its roots which are unbelievably complex. Here is a graph with the only 2 points that are easily found. If I am not solving what you need, please leave a note.
Express (root 19 - root 7)(root 19 + root 7) in simplest form.
Answer
root 354
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
(√19 -√7)(√19 +√7)
( a +b)( a -b) = a²-b²
(√19)² -(√7)² = 19 -7 = 12
Find the area of triangle ABC to the nearest tenth if AB = 11 ft, ∠BCA = 67 , and ∠CAB = 28 .
Answer:
30.7
Step-by-step explanation:
Assuming the angled are degrees and not radian.
side BC= (11÷sin67)•sin28= 5.6
angle ABC= 180-67-28=85°
A= 11•5.6•sin85÷2≈30.68
question 3&4 help me please
Answer:
3. (1-7/9)÷2 = 2/9÷2 = 1/9
reciprocal of 1/9 is 9
4. x+2/x=3
if you solve it, you get x = 1 and x = 2, so last option, 1 and 2, is the answer
Answered by GAUTHMATH
what type of variation is this relationship
=========================================================
Explanation:
We don't have a direct variation because the initial cost isn't $0
The equation for this situation is y = 25x+375, where x is the number of yearbooks purchased and y is the total cost.
Notice how this line doesn't go through the origin. All direct variation graphs are straight lines through the origin.
So that's why we have partial variation instead.
The initial cost is simply the set up cost, aka the cost when x = 0. That initial cost is $375. The initial cost is located at the y intercept.
From that initial cost, we then add on multiples of $25 depending on how many yearbooks are purchased.
-----------------
In short, because the initial cost is $375, which is some nonzero value, this means we don't have direct variation. Instead, we have partial variation.
Help me with this question please‼️‼️
Explanation:
The gradient is the same as the slope
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (6-1)/(6 - (-4))
m = (6-1)/(6+4)
m = 5/10
m = 1/2
In decimal form, this becomes 0.5
A slope of 1/2 means we move up 1 and to the right 2 units each time to generate points along the diagonal line.
A positive slope goes uphill as we move to the right (due to the positive rise value).
Answer:
One way to find the gradient is using the expression :
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{y_{B} - y_{A}}{x_{B} - x_{A}}[/tex]
So [tex]m = \frac{6 - 1}{6- (-4)} =\frac{5}{10} =\frac{1}{2}[/tex]
factor x ^ 4 - 5x ^ 2 + 4
( − 2 ) ( 3+ 2 2 − − 2 )
Hope this helps, have a great day!
Need help nsjsisjejskskkdof
Answer:
8×4=32 and 8 groups of 4 equals 32.
Giving brainliest! View image!
Answer:
58%
Step-by-step explanation:
10*5=50
7*3=21
21/50 chance to choose inside small rectangle
21/50*2 = 42/100 chance to choose inside small rectangle
100-42=58%
Find the value of x in the given
right triangle.
10
х
Answer:
44.4
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
sin theta = opp / hyp
sin x = 7/10
Taking the inverse sin of each side
sin^-1 (sin x) = sin^-1(7/10)
x = 44.427
Rounding to the nearest tenth
x = 44.4
If f(x) = x2 - 4x and f(-3), then the result is:
o -3.
O 21.
0 -21.
Answer:
answer is 6
Step-by-step explanation:
f(x) = x2 - 4x
f(-3)= -3*2-4*-3
=-6-(-12)
=6
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
Step-by-step explanation:
I think you mean 35 seconds because if it was 36 then the answer would be too long so assuming it is 35 seconds the answer is 1 minute or 60 seconds
"Two-thirds of a number increased by seven."
Answer:
(2/3)n + 7
Step-by-step explanation:
Represent the number by n.
Then "two thirds of (that) number" is (2/3)n.
Finally, we add 7:
"Two-thirds of a number increased by seven" is (2/3)n + 7
if a number is added to 3, the result is 10 find the number
Answer:
7
Step-by-step explanation:
10 minus 3 will give you the number
Answer:
7
Step-by-step explanation:
let the number added to 3 be 'x'
we know;
X+3=10
X=10-3
X=7
Can someone please help me with Q2?
Answer:
To find the point of intersection, you have to set both equations equal to each other and solve. After solving, plug it back into one of the equations. (Its pretty simple so don't worry :] )
y1 = 2x + 4
y2 = 3x-9
y1 = y2
2x + 4 = 3x - 9
4 = x - 9
x = 13
--> Plug x back into an equation for y coordinate. I will be using y1.
2(13) + 4
26 + 4 = 30
y = 30
The point of intersection is (13,30)
It’s urgent please help
HELP ME PLZZ...Complete this proof...BRAINLY TO HELPFUL ANSWER
Answer:
1. Angles 2, 3 and angles 1,3 are complementary angles(Given)
2. To prove :
Since Angles 2, 3 and angles 1,3 are complementary.
When angles are complementary, then the sum of the measures of angles is 90 degrees.
So, and (Definition of Complementary angles)
3. (Substitution)
4. (Subtraction property of equality)
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:3
B. 1:6
C. 1:5
D. 1:1
The ratio of the number of students who went to the zoo to the number of students who did not go to the zoo is 1: 5. Hence option C is true.
Given that;
The students in Shawn's class got to choose whether to visit the zoo or the aquarium.
Here, 3 students went to the zoo and 15 students went to the aquarium.
Hence, the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo is,
Ratio = 3 : 15
Ratio = 3/15
Ratio = 1/5
Ratio = 1 : 5
Thus, option C is true.
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how many 5 cents can u get from $1.25?
Answer:
25
Step-by-step explanation:
5 cents = 0.05
1.25 / 0.05 = 25
let me know if i'm wrong
Answer:
25
Step-by-step explanation:
$1.25=125cents
125/5 = 25
Line AB is the diameter of circle T. Point A is located at (-4, 2) and point B is located at (2, -8). What are the coordinates of the center of this circle?
A. (-3, -5)
B. (-2, -4)
C. (-1, -3)
D. (-4, -2)
Answer:
(-4, 2) y(2, -8)
{-4 y(2, -8), 2 y(2, -8)}
-4 y(2, -8) + 2 y(2, -8) = -2 y(2, -8)
-y(2, -8)
2 sqrt(5) abs(y(2, -8))
Step-by-step explanation:
D
Answer:
C
Step-by-step explanation:
The center will be the midpoint of the line connecting A and B.
x=(-4+2)/2=-2/2=-1
y=(2-8)/2=-6/2=-3
A can do a piece of work in 15 days. B can do the same work in 12 days and C can
finish the same piece of work in 20 days. They started the work together for 2 days
and then B and C leaves. In how many days will A finish the remaining work?
Answer:
[tex]9\ days[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\No.\ of\ days\ A\ takes\ to\ complete\ some\ amount\ of\ work=15\ days\\No.\ of\ days\ B\ takes\ to\ complete\ the\ same\ amount\ of\ work=12\ days\\No.\ of\ days\ C\ takes\ to\ complete\ the\ same\ amount\ of\ work\ as\ A\ and\ B\ =20\ days\\[/tex]
[tex]Now,\\We\ can\ say\ that\ an\ object\ has\ to\ complete\ \frac{1}{n}th\ of\ the\\ work\ daily,\ to\ complete\ the\ work\ in\ n\ number\ of\ days.\ This\ is\ however\\ only\ true\ if\ the\ object\ covers\ equal\ amounts\ of\ work\ each\ day.[/tex]
[tex]Here,\\In\ 1\ day,\\A\ would\ cover\ \frac{1}{15}th\ of\ the\ work.\\B\ would\ cover\ \frac{1}{12}th\ of\ the\ work.\\C\ would\ cover\ \frac{1}{20}th\ of\ the\ work.[/tex]
[tex]Now,\\We\ are\ also\ given\ that:\\They\ work\ together\ for\ 2\ days\ on\ the\ same\ work.\\Hence,\\Total\ work\ done\ in\ 1\ day\ by\ A,B\ and\ C=\frac{1}{15}+\frac{1}{12}+\frac{1}{20}=\frac{4+5+3}{60}=\frac{12}{60}=\frac{1}{5}\\Hence, Total\ work\ done\ in\ 2\ days\ by\ A,B\ and\ C=2*\frac{1}{5}=\frac{2}{5}[/tex]
[tex]Hence,\\The\ portion\ of\ the\ total\ work\ left=1-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}\\So,\\Since\ A\ has\ to\ complete\ \frac{3}{5}th\ of\ the\ work,\ lets\ compute\ the\ no.\ of\ days\ it\ takes\ to\ do\ so.\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ the\ entire\ work=15\ days\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ \frac{3}{5}th\ of\ the\ entire\ work=15*\frac{3}{5}=9\ days[/tex]
Answer:
9 days
Step-by-step explanation:
A does in 15days, so A in 1day does 1/15part
B does in 12days, so B in 1day does 1/12part
C does in 20days, so C in 1day does 1/20part
So. A+B+C in 1 day-- 1/15+1/12+1/20=(4+5+3)/60= 12/60=1/5 and in 2days 2/5 part..hence remaining work=1/1–2/5=(5–2) =3/5part.
Now A in 1/15 part takes 1day
So, in 3/5 part 15×3/5 = 9 days.
Plz see attachment below
Answer:
Step-by-step explanation:
Table I
Given function is,
f(x) = [tex]b^x[/tex]
From the table attached,
For x = 0.827, value of function f(0.827) = 5,
f(0.827) = [tex]b^{0.827}[/tex]
Therefore, [tex]b^{0.827}=5[/tex]
[tex]\text{log}(b^{0.827})=\text{log}(5)[/tex]
0.827[log(b)] = log(5)
log(b) = 0.8452
b = [tex]10^{0.8452}[/tex]
b = 7
Therefore, function 'f' will be,
f(x) = [tex]7^x[/tex]
For f(x) = 9,
9 = [tex]7^x[/tex]
log(9) = log([tex]7^x[/tex])
log(9) = x[log(7)]
x = 1.129
Table II
Given function is g(x) = [tex]\text{log}_b(x)[/tex]
From the given table,
For x = 7, g(x) = 1
1 = [tex]\text{log}_b(7)[/tex]
[tex]b^1=7[/tex]
b = 7
Therefore, the function 'g' will be,
g(x) = [tex]\text{log}_7(x)[/tex]
For g(x) = 1.318
1.318 = [tex]\text{log}_7(x)[/tex]
[tex]x=7^{1.318}[/tex]
[tex]x=12.9968[/tex]
[tex]x=13.997[/tex]
Help memememememe please
Answer:
good evening good evening good evening good evening
Step-by-step explanation:
w
Answer:
∠b = 54°
they add up to 180
7x + 14 + 5x - 26 = 180
12x = 192
x=16
thus ∠b = 54°
Step-by-step explanation:
please solve this
.............
Answer:
D
Step-by-step explanation:
Note that I will be using a, b, and y instead of their Greek counterparts.
First, we know that sin(c+d) = sin(c)cos(d) + cos(d)sin(a) and sin(c-d) = sin(c)cos(d) - cos(d)sin(a). We can apply these here to get
sin(b+y) = sin(b)cos(y) + cos(b)sin(y)
sin(b-y) = sin(b)cos(y) - cos(b)sin(y)
sin(a+y) = sin(a)cos(y) + cos(a)sin(y)
sin(a-y) = sin(a)cos(y) - cos(a)sin(y)
Plugging these into our equation, we get
(sin(b)cos(y) + cos(b)sin(y) - (sin(b)cos(y) - cos(b)sin(y)))
/
(sin(a)cos(y) + cos(a)sin(y)-(sin(a)cos(y) - cos(a)sin(y)))
=
2cos(b)sin(y) / 2cos(a)sin(y)
= cos(b)sin(y)/cos(a)sin(y)
= cos(b)/cos(a)
Next, we can see that a+b = π, so we can subtract b from both sides to get a = π -b. Plugging that in for a in our equation, we get
cos(b) / cos(π-b)
After that, we know that cos(c-d) = cos(c)cos(d) - sin(c)sin(d). Plugging that in here, we get
cos(π-b) = cos(π)cos(b) - sin(π)sin(b)
= -cos(b) + 0
= -cos(b)
Plugging that back into our equation, we get
cos(b) / -cos(b) = -1
What is the quotient of (2x3 – 29x + 13) ÷ (x + 4)?
Answer:
(19-29x) over (x-4)
Step-by-step explanation:
What is the value of the expression below when y = 5? Show your work and write your answer in a complete sentence.
Y exponent 2-3y+6
Answer:
y=1
Step-by-step explanation:
5=2-3y+6
3y=2-5+6
3y= -3+6
3y= 3
3y÷3=3÷3
y=1
Answer:
16
Step-by-step explanation:
Substitute y = 5 into the expression
y² - 3y + 6
= 5² - 3(5) + 6
= 25 - 15 + 6
= 16
PROBLEM
9a
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is
20 units, write a pair of linear equations to model the above situation, assuming the length to be l units
and the breadth to be b units.
Equation 1 :
Equation 2 :
Here, we are to find the length and the , breadth of the rectangle
The length of the rectangle = 7 units and Breadth of the rectangle = 3 units
Let
length = l units
Breadth = b units
Perimeter of the rectangle = 20 units
length is the distance measured along the longest dimension of an object
width is the wideness of an object
perimeter refers to the total measurements of an objects
The breadth of a rectangle is 4 units less than its length
If,
Length = l
Then,
b = l - 4
Perimeter of a rectangle = 2(length + breadth)
20 = 2{l + (l - 4)
20 = 2(l + l - 4)
20 = 2(2l - 4)
20 = 4l - 8
20 + 8 = 4l
28 = 4l
l = 28/4
l = 7
b = l - 4
b = 7 - 4
b = 3 units
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Helpp mee please i need help i am stuck
Which statements are true? Check all that apply.
-2.5 = -2 1/2
-1.5 > -0.5
-0.5 < 0
-2.5 < -2
- 1/2 > 1.5