Which statement is true about the prime polynomial 2x2 + 3x + 3?
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It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.
Answer:
It cannot be modeled with a rectangle.
Step-by-step explanation:
The given expression 2x^2 + 3x +3 cannot be factored.
That means that it cannot be modeled with a rectangle.
So your answer is, It cannot be modeled with a rectangle.
Answer:
It cannot be modeled with a rectangle.
Step-by-step explanation:
Hope this helps
Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost
Answer:
Total cost = $4.08
Step-by-step explanation:
Given the following data;
Selling price = $3.4
Shipping and handling fee = 20%
To find the total cost;
First of all, we would determine the extra fee;
Extra fee = 20/100 * 3.4
Extra fee = 68/100
Extra fee = $0.68
Now, we can solve for the total cost using the formula below;
Total cost = selling price + extra fee
Total cost = 3.4 + 0.68
Total cost = $4.08
a triangular sail on a sailboat measures 8 yards on one side and 10 yards on a second side, what could be the length on the third side?
Answer:
8 yards
Step-by-step explanation:
/\
/ \
/ \
----------
/ and \ = 8
_ = 10
Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?
Answer: The side of the house will the ladder reached by ladder = 16.52 feet
Step-by-step explanation:
House is standing vertical on the ground.
By placing ladder, it will become a right triangle with hypotenuse as ladder.
By Pythagoras theorem,
[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]
i.e.
[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]
Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)
how many miles is bowman from stonecrest ga.
a.1 hr 48 min
b.17 min
c.46 min
d.none of the above
Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?
Answer:
At (5, -4)Step-by-step explanation:
The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line that passes through given point with a slope of m:
y - y₁ = m(x - x₁)
Line A:
[tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]
[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]
Line B:
[tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]
[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]
Point of intersect means the same coordinates x and y.
So:
[tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]
The sales tax on a $30 purchase was
$2.40. What was the sales tax rate?
Answer:
8 percent
Step-by-step explanation:
2.4/30 = 0.08 or 8%
Select all the statements about the graphs of g (x) - 5 a? and f (x) = x2 that are true.
1. f and g open in the same direction.
2. f and g intersect twice.
3. f and g have the same axis of symmetry.
4. f and g have the same vertex.
5. g is wider than f.
Answer:
Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!
Write an equation in standard form for the line that has slope 1/3 and passes
through (-2, 8)
Answer:
-x + 3y = 26Step-by-step explanation:
The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-2, 8) ⇒ x₁ = -2, y₁ = 8
Therefore, the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:
y - 8 = ¹/₃(x - (-2))
y - 8 = ¹/₃x + ²/₃ {multiply both sides by 3}
3y - 24 = x + 2 {subtract x from both sides}
-x + 3y - 24 = 2 {add 24 to both sides}
-x + 3y = 26
Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?
A 0.21%
B 21%
C 22%
D 27%
Answer:
21.25%
Step-by-step explanation:
To find the percent decrease, take the original amount and subtract the new amount
80-63 = 17
Divide this by the original amount
17/80 =.2125
Multiply by 100 to change to a percent
21.25%
x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?
Answer:
(10,6)
Step-by-step explanation:
1. Rearrange
x-y=4
y=x-4
y-8=-2
y=6
2. Graph
find the value of angle ABC A(3x)B(x+4) C 110
A 30.5 degrees
B 60 degrees
C 80.5 degrees
D 121.5 degrees
A sample in a laboratory starts with 8 bacteria. The bacteria grow at a rate of 3.2% every hour. How many hours until the sample has grown to 140,000
bacteria? (Round to the nearest whole number)
A 46
B 3
C) 305
D 133
Answer:
probably C
Step-by-step explanation:
The question can be written as:
8 * 1.032^n = 140 000, this can be rearranged to
140 000/8 = 17500 = 1.032^n
now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]
example of log
2^3 = 8
log2 (8) = 3
log1.032 (17500) = 310.17
23. What is the value of x?
Answer:
9
Step-by-step explanation:
If PQ || to BC
Then by BASIC PROPORTIONALITY THEOREM:
[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]
A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motionThe sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the shipThe displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacementtanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
Learn more about displacement here: https://brainly.com/question/2109763
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Help right answer get brainliest
Answer:
all i know is 6 is 72/30 because I'm busy right now sorry that I don't have the simplest form of answer
Answer:
6. 2 2/5
7. 66/145
8. 1 1/5
Step-by-step explanation:
The table below shows the scores on a science test.
John
75 Brett
80
Elizabeth 90
Cindy
100
Jake
75
Kenji
85
Rick
80 Joy
80
Raul
90 Suni
85
The number of standard deviations between a score and the mean score is indicated by a z-score. What was Cindy's
Z-score on the science test?
a. -2.2
C. 16
b. 100
d. 2.2
Based on the test scores of the students, Cindy's z-score on the science test is 2.2
How to determine the z-score of Cindy?We start by calculating the mean of the scores using:
Mean =Sum/Count
So, we have:
Mean = (75 + 80 + 90 + 100 + 75 + 85 + 80 + 80 + 90 + 85)/10
Mean = 84
Using a statistical calculator, the standard deviation is:
Standard deviation = 7.35
The z-score is then calculated using:
z = (x - mean)/standard deviation
Cindy's score is 100.
So, we have:
z = (100 - 84)/7.35
Evaluate
z = 2.2
Hence, Cindy's z-score on the science test is 2.2
Read more about z-scores at:
https://brainly.com/question/25638875
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Suppose a robot is at the corner of a rectangular arena and needs to reach the diagonally opposite corner. If the length of the arena is 105 meters, and the width is 68 meters, find the distance that the robot needs to travel. Round your answer to the nearest whole meter.
Answer:
Frx8txutxitxigxtix7fv7t8citcti
The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.
Answer:
80°+65°+2x+3x=360°(sum of quadrilateral is 360)
145°+5x=360°
5x=360°-145°
5X=215°
X=215°/5°
X=43°
The required value is [tex]x=43[/tex]
Given angles are,
[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]
As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].
Then we have the relation,
[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]
So, the value of the x is 43.
Find out more information about the topic:https://brainly.com/question/8565742
3√x^2
I need to write this as a fractional exponent.
[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]
[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]
I do not know which one you mean but still one of them is still your answer. :)
Write the name of each decimal place indicated (pls don't troll I'm failing I'll give brainliest)
Answer:
7.) c
8.) 5.9
9.) 8.78
10.) 8.778
if im wrong let me know
Step-by-step explanation:
20 POINTS! Please help!
Find the value of x. Round to the
nearest tenth.
x = [?]
Answer:
4 hope it helps you better
Find the area of the composite figure.
A. 51 m2
B. 81 m2
C. 102 m2
D. 420 m2
Answer:
B. 81 m²
Step-by-step explanation:
6x10 = 60
7x6 = 42
42/2 = 21
60+21 = 81
Answer:
B) 81 meters squared
Step-by-step explanation:
rectangle = 6 * 10 = 60
triangle = .5 * 6 * 7 = 21
60+21 = 81
need help will give brainliest
whats the permiter and area of this triangle will mark brainleist?
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
what % of 25 = 5
Please hurry
5 is what percent of 25? = 20
Which equation represents the relationship between x and y?
A. y = x + 25
B. y = 25x
C. x =25y
D. x = y +25
What is a positive data set on a graph?
Answer:
when the dot's go left to right going upwards
Step-by-step explanation:
??? Help me with my work pls
Answer:
2. 10 + 5 x 2 $20
3. 10 + 5 x 3 $25
4. 10 + 5 x 4 $30
Hope that helps!
Step-by-step explanation:
Answer:
2) 10+5x2= 20
3) 10+5x3= 25
4) 10+5x4= 30
Step-by-step explanation:
just add 5 every time
X=
Y=
The polygons to the right are similar. Find the value of each variable
Answer:
y = 7
x = 24
Step-by-step explanation:
When two triangles are similar, the ratio of their corresponding sides are equal
For the bigger triangle we have a total 48; so for the smaller we have x
For the bigger, we have 14, so for the smaller, we have y
Mathematically;
25/x = 50/48
x * 50 = 25 * 48
x = (25 * 48)/50
x = 24
For y;
25/y = 50/14
y = (25 * 14)/50
y = 7