Answer:
[tex]\huge\boxed{\texttt{See Explanation}}[/tex]
Step-by-step explanation:
In order to simplify a radical, we're looking for a perfect square within that number.
Say we have [tex]\sqrt{108}[/tex].
We're looking for two numbers, where
1. We can easily find the square root of the first number
2. When we multiply that number by the second, we get 108.
We can experiment with numbers for 108. We know that [tex]36 \cdot 3 = 108[/tex], so we can form this statement now.
[tex]\sqrt{108} = \sqrt{36 \cdot 3}[/tex]
We know the square root of 36 is 6. Therefore, we can put this outside the square root sign and leave 3 inside.
[tex]\sqrt{36} = 6\\6\sqrt{3}[/tex]
Hope this helped!
Use the vertex formula to find the vertex of the quadratic function f(x) = - x2 + 2x - 6.
Find the value of c so that (x+1) is a factor of the polymonial p(x)=5x^4+7x^3-2x^2-3x+c
Answer:
BRAINLIEST PLZZZZ
Step-by-step explanation:
Also given that (x+1) is factor of given polynomial p(x).
Need to determine value of constant c.
We will be solving above problem using factor theorem.
Factor theorem says that if ( x – a) is a factor of any polynomial f(x) , then f(a) = 0.
As in our case f(x) = p(x) and factor of p(x) is (x + 1) , which can be rewritten as (x – ( -1)) , so "a" in our case is -1 .
According to factor theorem p(-1) = 0
On substituting x = -1 , in given expression of p(x) we get
Hence value of c in the given polynomial is 1
Answer:
c = - 3
Step-by-step explanation:
[tex] \because [/tex] (x+1) is a factor of the polymonial [tex] p(x)=5x^4+7x^3-2x^2-3x+c[/tex]
Let (x + 1) =0[tex] \implies [/tex] x = - 1
[tex] \therefore [/tex] at x = - 1, p(x) =0.
[tex]p(x)=5x^4+7x^3-2x^2-3x+c \\ \\ 0 = 5( { - 1})^{4} + 7( { - 1})^{3} - 2( { - 1})^{2} - 3( - 1) + c \\ \\ 0 = 5 \times 1 + 7( - 1) - 2 \times 1 + 3 + c \\ \\ 0 = 5 - 7 - 2 + 3 + c \\ \\ 0 = 7 - 7 + 3 + c \\ \\ 0 = 3 + c \\ \\ c = - 3[/tex]
Solve this proportion c-1/c+2=4/7
Answer:
c = 5
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
[tex]\frac{c-1}{c+2} =\frac{4}{7}[/tex]
Step 2: Solve for c
Cross multiply: [tex]7(c-1)=4(c+2)[/tex]Distribute: [tex]7c-7=4c+8[/tex]Subtract 4c on both sides: [tex]3c-7=8[/tex]Add 7 to both sides: [tex]3c=15[/tex]Divide both sides by 3: [tex]c=5[/tex]Step 3: Check
Plug in c to verify it's a solution.
[tex]\frac{5-1}{5+2} =\frac{4}{7}[/tex]
[tex]\frac{4}{7} =\frac{4}{7}[/tex]
Solve v +8 < 3 or -80 <-40.
find the slope of the line through each pair of points
(-3,9), (0,3)
Answer:
-2
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3-9)/(0- -3)
= (3-9)/(0+3)
= -6/3
= -2
Is 4x -3 =19 true false or open?
Answer:
4x-3=-12 fasle
Step-by-step explanation:
help please ill give u brainiest if it's correct
Answer:
Supplementary
Step-by-step explanation:
PLEASE HELPWhich graphs display a directly proportional relationship? Check all that apply.
On a coordinate plane, a line goes through points (0, 0) and (1, negative 3).
On a coordinate plane, a line goes through points (0, 1) and (1, 2).
On a coordinate plane, a line goes through points (0, 0) and (1, 3).
On a coordinate plane, a line goes through points (0, 0) and (2, 2).
Answer:
ACD
Step-by-step explanation:
Answer:
A. C. D.
Step-by-step explanation:
What is 10 times greater than 2000
Answer:
20,000
Step-by-step explanation:
Let's take it step-by-step
10 times greater than 2,000
10 x 2 = 20, 10 x 20 = 200, 10 x 200 = 2,000, 10 x 2,000 = 20,000
just remember to add a zero after each number so, if you have 10 x 20, just take the 2 and but a zero, 20, 10 x 20 = 200, Etc.
If you need more help let me know :)
Ten times greater than 2000 is 2000.
How to find out how many times greater or less given quantities are relative to each other ?To find how much greater one quantity is to other just divide other quantity by one quantity.If how many times is given and have to find greater just multiply the given quantity by the given times.
In the given question 10 times greater than 2000 is 2000 multiplied by 10 = 20000
To reverse check divide 20000 by 2000 and the result should match the previous result you have obtained.
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On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line y = –x?
(–1, –3)
(3, –1)
(1, 3)
(–3, 1)
Answer:
B. (3, -1)
Step-by-step explanation: I got a 100 on the test
The rule for a reflection across line y = -x: (x, y) → (-y, -x)
F(1, -3) → F'(3, -1)
The answer would be option B (3, –1).
What is Parallelogram?A parallelogram defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.
Coordinates of the vertices of a parallelogram are,
E(-3, -5), F(1, -3), H(2, -5), G(-2, -3)
Equation of a line about which this parallelogram was reflected is, y = -x
The rule for a reflection across line y = -x: (x, y) → (-y, -x)
That means when a point (x, y) is reflected across the line y = x, we find a new point (-y, -x)
By this rule new point by reflecting point F will be,
F(1, -3) → F'(3, -1)
Therefore, Option (B) will be the answer.
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1. find the distance between the points (-4,-6 ) and (8,5) to the nearest 100th of a unit. *
(3 Points)
16.26
16.32
16.28
Answer:
Distance is 16.28.
Step-by-step explanation:
[tex]Distance=\sqrt{((5--6)^{2}+(8--4)^{2} } =\sqrt{11^{2}+12^{2} }=\sqrt{121+144} =\sqrt{265}=16.28[/tex]
Hellllppppp!!!! Pleaseeeee
Answer:
32 degrees
Step-by-step explanation:
It a isosceles triangle , so what you do is 180-116 and divided that by 2
Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs. Show your work on the right using the draw tool. Log rules are included for reference at the bottom of the slide.
Answer:
02.
Step-by-step Explanation
[tex]log \frac{3}{2} \\ \\ = log \frac{3 \times 4}{2 \times 4} \\ \\ = log \frac{12}{8} \\ \\ = log 12 - log 8 \\ \\ = 1.1 - 0.9 \\ \\ = 0.2 \\ \\ \huge \red{ \boxed{log \frac{3}{2} = 0.2}}[/tex]
Answer: 0.2
Step-by-step explanation:
We have to find [tex]log \frac{3}{2}[/tex].
We are given log 12 and log 8, the farthest.
Subtract to find the number you have to multiply by.
3 x 4 = 12 and 2 x 4 = 8.
Our next fraction will be [tex]log \frac{12}{8}[/tex]
Now, subtract log 12 (1.1) by log 8 (0.9)
1.1 - 0.9 = 0.2
So, the answer to the question is 0.2
Solve for x. 3x/4+2=4x-1
The ratio of girls to boys in Mr. Neal's class is 15:19 what percent of the students are girls?
Answer:
15/34
Step-by-step explanation:
add 15+19=34
then make it a fraction
D(-3,4) E(7, 6) 1:3
Answer:d
Step-by-step explanation:
Solve for x.
X^2 – 2x +1=0
x=
a movie sells tickets for for the cost of 4$ and 6$.there is a total of 75 tickets for a total of 400$,how many tickets were sold
Sam's Furniture Store places the following advertisement in the local newspaper.
Write a system of equations for the three combinations of furniture. Let S represent the cost
of a sofa, let L represent the cost of a love seat, and let C represent the cost of a chair.
$1300
$1400
Soca and love
Sota and two
1300
$1600
Sota love seat
18
= 1400
= 1600
What is the price of each piece of furniture?
A sofa costs $ 166, a love seat costs $ 566 and a chair costs $ 233
Answer:
$500Step-by-step explanation:
GivenSofa = sLove seat = lChair = cSofa and love seat cost = $1300Sofa and 2 chairs cost = $1400Sofa, love seat and one chair cost = $1600To findLove seat = ?SolutionEquations as per given are:
s + l = 1300s + 2c = 1400s + l + c = 1600Subtract equation 1 from equation 3:
s + l + c - s - l = 1600 - 1300c = 300Considering this in the equation 2:
s + 2*300 = 1400s = 1400 - 600s = 800Substituting s in the equation 1:
800 + l = 1300l = 1300 - 800l = 500Answer: Love seat costs $500
How much water must be added to 1 litre of 5% cordial mixture to produce a 4% cordial mixture?
Answer:
X=1/4L OR 0.25L OR 250ml.
Step-by-step explanation:
Can someone please help me
Answer:
no
Step-by-step explanation:
preguntaste si alguien te podia ayudar y no puedo. gracias por su comprensin
A line contains the points -1 , -4 and -6,11 what is the slope of a line that is parallel to this line
Answer: 3 I think !
Step-by-step explanation:
Help me please.......
Answer:
90 . this can be easily answered as all the angle of points are given in question
Step-by-step explanation:
90 degree angle
Twice the sum of a number and 3.
Thus, the required number is 27.
Question seems to be incomplete. Here, Question could be -
"Twice the sum of a number and 3 is equal to three times the difference of the number and 9 find the number."
What is algebraic expression?
Algebraic expression consists of constant and variable. eg x, y, z etc.
Let the number be 'x'.
Now, applying condition
2(x+3) = 3(x-9)
2x+6 = 3x - 27
x = 21
Thus the required number is 21.
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Antwan’s car loan is automatically deducting $150 from his bank account every month. How much will the deductions total for the year?
Answer:
$1,700
Step-by-step explanation:
Multiply the rate that money is being taken out at by the amount taken out at
12 x 150
HELP I SUCK AT MATH HELP ASAP PLZZZ!!! GIVING BRIANLIEST AND POINTS.
Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equipment will cost $1200.
Henry orders 600 shirts and determines that the profit for his new business is modeled by the function p = 22x - 1200. What is the range of this function in this context?
A) {0 ≤ p ≤ 500}
B) {0 ≥ p ≥ 500}
C) {-1,200 ≤ p ≤ 2,000}
D) {-1,200 ≤ p ≤ 12,000}
Answer:
isD
Step-by-step explanation:
Answer:
D) {-1200 < p < 12,000}
Step-by-step explanation:
have a good day
I need help on this math question
Answer:
[tex]3\sqrt{2}+3\sqrt{7}[/tex]
Step-by-step explanation:
looks like your question don't need a step.
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Red
at what rate of interest the compound amount on rs 8000 for 2 years is rs 10648? Please someones help me
Answer:
hope this helps and pls mark as brainliest
3) Find three consecutive integers such that 3 times
the largest integer is twice the sum of the other two
integers.
Answer:
wepppp
Step-by-step explanation:
Angles A and B are complementary. Explain how to find the measure ofAngle BifAngle A has a measure of 36°.
Answer:
54 degrees
Step-by-step explanation:
Complementary angles total 90 degrees.
So, to find B, we subtract 36 from 90.
90-36= 54
Answer:
Sample Response: Complementary angles have a sum of 90°, so the sum of the measures of angles A and B is 90°. Subtract 36° from 90° and angle B has a measure of 54°.
Step-by-step explanation: