Answer:
P=4x+20
A=x^2+10x+21
Step-by-step explanation:
Perimeter=2(x+7)+2(x+3)
2x+14+2x+6
4x+20
Area=(x+7)(x+3)
x^2+10x+21
l = (x + 3)
b = (x + 7)
Area:
= I x b
= (x + 3)(x + 7)
= x(x + 7) + 3(x + 7)
= x² + 7x + 3x + 21
= x² + 10x + 21
Perimeter:
= 2(l + b)
= 2((x + 3) + (x + 7)) = 2(2x + 10)
= 2(x + 3 + x + 7)
= 4x + 20
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]
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
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:
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:
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
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
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
Solve for x. 3x/4+2=4x-1
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
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.
<3
Red
Solve for x.
X^2 – 2x +1=0
x=
help please ill give u brainiest if it's correct
Answer:
Supplementary
Step-by-step explanation:
Solve v +8 < 3 or -80 <-40.
D(-3,4) E(7, 6) 1:3
Answer:d
Step-by-step explanation:
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.
Learn more about algebraic expression here:
https://brainly.com/question/953809
#SPJ2
Antwan’s car loan is automatically deducting $150 from his bank account every month. How much will the deductions total for the year?
Answer:
$1,700
Step-by-step explanation:
Multiply the rate that money is being taken out at by the amount taken out at
12 x 150
Use the vertex formula to find the vertex of the quadratic function f(x) = - x2 + 2x - 6.
Is 4x -3 =19 true false or open?
Answer:
4x-3=-12 fasle
Step-by-step explanation:
Help me please.......
Answer:
90 . this can be easily answered as all the angle of points are given in question
Step-by-step explanation:
90 degree angle
Angles A and B are complementary. Explain how to find the measure ofAngle BifAngle A has a measure of 36°.
Answer:
54 degrees
Step-by-step explanation:
Complementary angles total 90 degrees.
So, to find B, we subtract 36 from 90.
90-36= 54
Answer:
Sample Response: Complementary angles have a sum of 90°, so the sum of the measures of angles A and B is 90°. Subtract 36° from 90° and angle B has a measure of 54°.
Step-by-step explanation:
Can someone please help me
Answer:
no
Step-by-step explanation:
preguntaste si alguien te podia ayudar y no puedo. gracias por su comprensin
a movie sells tickets for for the cost of 4$ and 6$.there is a total of 75 tickets for a total of 400$,how many tickets were sold
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:
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
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
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]
The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
(Negative 1) (one-fourth) (Negative 1) (negative 1)
(Negative 1) (one-half) (Negative 1) (1)
(Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
(Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)
Answer:
B or (-1)(1/2)(-1)(1)
Step-by-step explanation:
-4/5 is closest to (-1)
3/5 is closest to 1/2
-6/7 is closest to (-1)
5/6 is closest to 1
hope this helps
Answer: B
Step-by-step explanation:
I did the test on edge...
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.
Learn more about parallelogram here:
brainly.com/question/11220936
#SPJ5
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:
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]