Answer:
|x - 2| = 8
Step-by-step explanation:
The midpoint between -6 and 10 is;
(-6 + 10)/2 = 4/2 = 2
This means that the distance between 2 and either -6 or 10 will be 8.
Now, the absolute value equation will have to say that the distance between x and 2 is 8.
Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.
This gives us the absolute value equation:
|x - 2| = 8
Which of the following is not true? Bonus number 7
Answer:
the first one i think
Step-by-step explanation:
i can't see the pic clearly make it better, and i will solve for u
Which expressions are equivalent to 4b?
Step-by-step explanation:
5b-b,4b^2/b,...and so on
there are infinite number of equivalent expression..
among them five are here
4*b,
6b-2b,
2*2b,
((5b^3-b^3)/b^2),
2b+2b,etc
please someone help me... i need full answer
Answer: see proof below
Step-by-step explanation:
Use the following Sum to Product Identities:
[tex]\sin x-\sin y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\sin\bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x-\cos y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\cos\bigg(\dfrac{x-y}{2}\bigg)[/tex]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \qquad \dfrac{\sin 2A+\sin 5A-\sin A}{\cos A+\cos 2A+\cos 5A}[/tex]
[tex]\text{Regroup:}\qquad \qquad \qquad \dfrac{\sin 2A+(\sin 5A-\sin A)}{\cos 2A+(\cos 5A+\cos A)}[/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{\sin 2A+2\cos\bigg(\dfrac{5A+A}{2}\bigg)\sin\bigg(\dfrac{5A-A}{2}\bigg)}{\cos2A+\cos\bigg(\dfrac{5A+A}{2}\bigg)\cos\bigg(\dfrac{5A-A}{2}\bigg)}[/tex]
[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A+2\cos 3A\sin 2A}{\cos 2A+2\cos 3A\cos 2A}[/tex]
[tex]\text{Factor:}\qquad \qquad \qquad \dfrac{\sin 2A(1+2\cos 3A)}{\cos 2A(1+2\cos 3A)}[/tex]
[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A}{\cos 2A}\\\\.\qquad \qquad \qquad \qquad =\tan 2A[/tex]
LHS = RHS: tan 2A = tan 2A [tex]\checkmark[/tex]
How many positive four-digit integer palindromes have 12 as the sum of the digits of the number?
What is 196 classified as
Answer:
it is so unclear to say . If any more information is given, then only it can be answered. I don't think 196 is so special to be classified.
Olivia counted the number of ladybugs on each plant in her garden, then made the graph below.
If ten ladybug fly from the lettuce to the alfalfa, which 2 kinds of plants will have the same number of ladybugs?
Choose 2 answers:
A) Roses
B) Lettuce
C) Alfalfa
D) Grape vines
Answer:
A) Roses , C) Alfalfa
Step-by-step explanation:
Each ladybug symbol = 5 ladybugs
Roses: 35 ladybugs
Lettuce: 15 ladybugs
Alfalfa: 25 ladybugs
Grape vines: 10 ladybugs
10 ladybugs go from lettuce to alfalfa. You end up with:
Roses: 35 ladybugs
Lettuce: 5 ladybugs
Alfalfa: 35 ladybugs
Grape vines: 10 ladybugs
Roses and alfalfa end up with 35 ladybugs each.
Answer: A) Roses , C) Alfalfa
If you could help solve this and show your work I would really appreciate it
Answer:
D
Step-by-step explanation:
The difference between 63y and 35y is 28y. 28/2=14, 28/4=7, 28/7=4, 28/9=not whole number so I'm not doing the math, and to make sure we are right, 28/14=2
Answer:
9Step-by-step explanation:
[tex]63y-35y\\=28y[/tex]
[tex]\frac{28y}{2} = 14y\\\\\frac{28y}{4} = 7y\\\\\frac{28y}{7} =4y\\\\\frac{28y}{14} = 2y\\\\\frac{28y}{9} =3.1111y[/tex]
9) The speed limit on the freeway is 65 miles per hour. a) What is this speed in kilometers per minute?
b) If you drive for 3.5 hours at the speed limit? How many kilometers have you travelled?
Answer: Answer is in the steps
Step-by-step explanation:
A) First convert 65 miles to kilometers
65 miles to kilometers is 104.607
Convert 1 hour to minute and that will be 60 minutes because 60 minutes makes and hour.
Now divide the kilometers by the number of minutes
104.607 / 60 = 1.74345
The speed will be 1.74345 kilometers per minute.
B) Convert 3.5 hours to minutes.
3.5 hours is the same as 210 minutes
Now multiply it by 1.74345 to determine how many kilometers you have traveled.
1.74345 * 210 = 366.1245
You will travel 366.1245 kilometers in 3.5 hours.
Each of 7 reported the number of movies they saw in the past year here is what they reported. 4, 17, 6, 15, 10,10,19 Find the mean number of movies that the students saw.
Answer:
Step-by-step explanation:
4+6+10+10+15+17+19=81
Then you divide 81 by the numbers of the numbers given. Which is 7 numbers so it will be 81/7 which is 11.57 then you approximate it to 11.
Solve. -1/2+(3/4x4/9)=
Answer:
-1/6
Step-by-step explanation:
- 1/2 + 3/4 x 4/9 = -1/2 + 3(4) / 4(9) = -1/2 + 12 / 36 = -1/ 2 + 1 / 3 = -3/6 + 2/6 = -1/6
The solution for the given expression [tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex] after simplifying the expression is [tex]-\frac{1}{6}[/tex].
Given an expression:
[tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex]
It is required to find the value of the expression after simplifying the expression.
Since there is more than one operation used in this expression, the rule of BODMAS has to be used.
The expression in brackets has to be solved first, which is [tex]\frac{3}{4} \times \frac{4}{9}[/tex].
Here, the numerator of the first fraction and the denominator of the second fraction is 4. So, it can be canceled.
So, this can be simplified as:
[tex]\frac{3}{4} \times \frac{4}{9} =\frac{3}{9}[/tex]
[tex]=\frac{1}{3}[/tex]
The whole expression thus is [tex]-\frac{1}{2} +\frac{1}{3}[/tex].
Make the denominators equal.
[tex]-\frac{1}{2} +\frac{1}{3} =-\frac{3}{6} +\frac{2}{6}[/tex]
[tex]=-\frac{1}{6}[/tex]
Hence, the value is [tex]-\frac{1}{6}[/tex].
Learn more about Fractions here :
https://brainly.com/question/10354322
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What is the slope of the equation y – 3 = –4(x – 5)?e of the equation y – 3 = –4(x – 5)?
Answer:
The slope of the equation y-3=-4(x-5) is -4.
Step-by-step explanation:
This equation is written in point-slope form: y-y₁=m(x-x₁), where "m" is the slope or the equations. In the equation y-3=-4(x-5), the -4 stands in the "m", or slope, spot, so the sope of this equation is -4.
Slope of the equation is equals to -4.
What is slope?
" Slope is defined as the ratio of the change in y-coordinates to the x-coordinates. It is also known as inclined plane."
General equation of line
y = m x + c ____(1)
'm' = slope of the line
'c' = y - intercept
According to the question,
Given equation,
[tex]y-3 = -4(x-5)[/tex]
Open the brackets of the equation we get,
[tex]y-3 = -4x+20[/tex]
Add 3 both the sides of the equation we get,
[tex]y = -4x+23[/tex] ______(2)
Compare equation (1) and (2) to get the slope we have,
Slope 'm' = -4
y-intercept = 23
Hence, slope of the equation is equals to -4.
Learn more about slope here
https://brainly.com/question/3605446
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Solve -17 + n over 3 = 33
Answer:
n=82
Step-by-step explanation:
[tex] \frac{17 + n}{3} = 33 \: \: \: \frac{17 + n}{3} = \frac{33}{1} \: \: \: 17 + n = 99 \: \: \: n = 99 - 17 \: \: \: n = 82[/tex]
Proof:
17+n/3=33
17+82/3=33
99/3=33
33=33
Hope this helps ;) ❤❤❤
Alexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?
Answer:
4 and 1/8
Step-by-step explanation:
1 and 3/8 is equivalent to 11/8 which is one lap. If she ran 3 laps, you would multiply 11/8 by 3 which would get you 33/8- which is equivalent to 4 and 1/8.
Answer:
The answer is not -1/2
Step-by-step explanation:
I got the answer from the person above and the answer is not -1/2 so do not believe them.
Given g(x) = -x + 5, solve for x when g(x) = 3.
Evaluate 6+x6+x6, plus, x when x=3?
Answer:
42
Step-by-step explanation:
x=3
6+x6+x6
6+(3)6+(3)6
6=6
(3)6=18
(3)6=18
6+18+18
24+18
42
Hope this helps ;) ❤❤❤
Answer:
1467Step-by-step explanation:
[tex]6+x^6+x^6+x\\\\6+(3)^6+(3)^6+3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+\left(3\right)^6+3\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+729+3\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6+729+729+3\::\quad 1467[/tex]
A resting heart rate for men on a chart say 62-65 beats per minute puts men in the good category of scott counted 238 heart beats in 3 1/2 minutes does his heart rate fall into the good category
The quadratic function g(x) has a vertex at (-5, 0) and y-intercept of (0, -5). What is g(1)?
Answer:
g(1)=7 1/5
Step-by-step explanation:
vertex (-5,0) , y intercept(0,5)
the quadratic equation is in the form of a parabola: y=ax²+bx+c
y=a(x-h)²+k find a and b and c
5=a(0-(-5))²+0
5=a(5)²+0
5=25a ⇒ a=5/25 ⇒ a=1/5
-b/2a=h
-b=2ah ⇒=-b=2(1/5)(-5) ⇒ -b=-2⇒ b=2
y=c=5 ( when x=0, y intercept)
y=1/5x² + 2x + 5
g(1)=1/5(1)²+2(1)+5
g(1)=1/5+2+5
g(1)=7 1/5
A quadratic function has a degree of 2, and it is represented as: [tex]y = ax^2 + bx + c[/tex]. The value of g(1) is -7.2
Given that:
[tex](h,k) = (-5,0)[/tex] --- the vertex
[tex](x,y) = (0,-5)[/tex] --- the y-intercept
The quadratic function in vertex form is:
[tex]y = a(x - h)^2 + k[/tex]
Where:
[tex](h,k) = (-5,0)[/tex] --- the vertex
So, we have:
[tex]y = a(x - -5)^2 + 0[/tex]
[tex]y = a(x +5)^2[/tex]
Substitute [tex](x,y) = (0,-5)[/tex] to calculate the value of a
[tex]-5 = a(0 +5)^2[/tex]
[tex]-5 = a(5)^2[/tex]
[tex]-5 = a \times 25[/tex]
Divide both sides by 25
[tex]a = -\frac 15[/tex]
So, the quadratic equation is:
[tex]y = a(x +5)^2[/tex]
[tex]y = -\frac 15(x +5)^2[/tex]
Rewrite as a function
[tex]g(x) = -\frac 15(x +5)^2\\[/tex]
To calculate g(1), we simply substitute 1 for x
[tex]g(1) = -\frac 15(1 +5)^2[/tex]
[tex]g(1) = -\frac 15(6)^2[/tex]
[tex]g(1) = -\frac 15 \times 36[/tex]
[tex]g(1) = -7.2[/tex]
Hence:
The value of g(1) is -7.2
Read more about quadratic functions at:
https://brainly.com/question/4119784
3xy + 5x + 2 + 3y +x + 4
Answer:
= 3xy + ( 5x + x) + 3y + ( 4 +2 )
= 3xy + 6x + 3y + 6
Suzi can type around 50 words per minute she has less than a week to taper final research paper is the paper has to at least be 20 pages long and each Page has about 380 words how many hours should Susie Santa side to taper assignment show your work to receive full credit round your answer to the nearest tenths place
Answer:
2.5 hours
Step-by-step explanation:
(380/50) x 20
7.6 x 20
152
The final answer wold be 152 minutes or 2.5 hours
Solve the equation below for x. 3.25x = 8.125 A. x = 0.025 B. x = 0.25 C. x = 2.5 D. x = 25
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation: Because its just easy ;/
One more than the product of a number, x, and 7 is 5 less than that number, x. Rewrite this as an equation then solve for x.
Answer:
(7x+1)=x-5
Step-by-step explanation:
a^2+b^2=9 , a+b=? with the method
Answer:
3
Step-by-step explanation:
a^2+b^2=9
(a+b)^2=9
finding the square root on both sides of the equation
a+b=3
Can someone help me, I need to find the function of a graph
Step-by-step explanation:
f(x)=y
(x,y)
(x,f(x))
then,
f(-4)=1
f(0)=2
f(4)=3
Help me please I don't understand the question
Answer:
y = - 2x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1) ← 2 points on the line
m = [tex]\frac{1-3}{1-0}[/tex] = - 2
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = - 2x + 3 ← equation of line
please tell me this asap..
y/2 - 1/5 = 2 - y/3
Answer:
y=2 16/25
in other words, two and sixteen twenty-fifths
Step-by-step explanation:
y/2-1/5=2-y/3
Move the variables to one side and constants to the other
y/2+y/3=2+1/5
Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator
3y/6+2y/6=2 1/5
5y/6=11/5
Cross multiply
66=25y
y=66/25
y=2 16/25
HOPE THIS HELPS!!!
write each expression using exponents 4 x p x 4 x p
Answer:
[tex]4 * p * 4 * p = 4^2p^2[/tex]
Step-by-step explanation:
Given
[tex]4 * p * 4 * p[/tex]
Required
Write as exponents
[tex]4 * p * 4 * p[/tex]
Rearrange to collect Like Terms
[tex]4 * 4 *p * p[/tex]
Group both items
[tex](4 * 4) *(p * p)[/tex]
Apply law of indices
[tex](4^{1+1})(p^{1+1})[/tex]
[tex](4^2)(p^2)[/tex]
Remove bracket
[tex]4^2p^2[/tex]
Hence:
[tex]4 * p * 4 * p = 4^2p^2[/tex]
Pls help me and show working
Answer:
4x + 10 > 3x + 14
x > 4
Step-by-step explanation:
Use the given values for length and width in the formula for perimeter of a rectangle. You will be able to find the perimeter of rectangles A and B.
A = 2(l + w)
A = 2(x + 5 + x)
A = 2(2x + 5)
A = 4x + 10
B = 2(l + w)
B = 2(x + 7 + x/2)
B = 2(3x/2 + 7)
B = 3x + 14
The perimeter of rectangle A is larger than that of rectangle B.
A > B
4x + 10 > 3x + 14
(4x + 10) - 3x > (3x + 14) - 3x
x + 10 > 14
(x + 10) - 10 > 14 - 10
x > 4
Solve 4(2x − 1) − 3 = 9(x − 4)
Answer:
x = 29
Step by step explantion:
Answer:
x = 29
Step-by-step explanation:
Distribute/ Multiply:
8x - 4 - 3 = 9x - 36
Rearrange the equation:
8x - 9x = -36 + 4 + 3
Combine like terms:
-1x = -29
Divide:
x = 29
Please help me!! This a mathematical question. I will be so happy if someone helps me♂️
Answer:
The answer is the fourth one.
[tex]\frac{1}{r^7} +\frac{1}{s^12}[/tex]
Step-by-step explanation:
What percent is 16 hr of 2 days
Answer: 33.33%
Step-by-step explanation:
1 day=24 hrs, 2 days=48hrs
16hrs/2days × 100%
=16hrs/48hrs × 100%
=0.333... × 100%
=33.33% (rounded)
Step-by-step explanation:
[tex] \frac{16}{100} \times 48(2day) = 7.68\%[/tex]