Answer:
a = -1/6
b = 7/6
c = 1
Step-by-step explanation:
[tex]f(x)=ax^3+2x^2+bx+c\\\\f(0)=a(0)^3+2(0)^2+b(0)+c\\\\1=c[/tex]
[tex]f(1)=a(1)^3+2(1)^2+b(1)+1\\\\4=a+2+b+1\\\\4=a+b+3\\\\1=a+b\\\\1-b=a[/tex]
[tex]f(-2)=(1-b)(-2)^3+2(-2)^2+b(-2)+1\\\\8=-8+8b+8-2b+1\\\\8=6b+1\\\\7=6b\\\\\frac{7}{6}=b[/tex]
[tex]1-b=a\\\\1-\frac{7}{6}=a\\ \\-\frac{1}{6}=a[/tex]
So, the true equation would be [tex]f(x)=-\frac{1}{6}x^3+2x^2+\frac{7}{6}x+1[/tex] if you substitute the coefficients and the constant.
Please help me on this!
Answer:
C. the amount the tomato plant grows each week
Step-by-step explanation:
its height is already 23 and it grows by 2.4 each week (x)
Have a nice day! :)
I NEED HELP ASAP
The area of a square is 196 in2. What is the length of its side?
Choose one answer.
A. 12 inches
B. 16 inches
C. 13 inches
D. 14 inches
area of a square = s²
s² = 196
s = √196
therefore s = 14cm
hope it helps...!!!
Answer:
D. 14
Step-by-step explanation:
14 x 14
= 196
Hope it helps :))
BRAINLIEST To whoever can give the correct answer with an in-depth explanation !
Step-by-step explanation:
1
area of the square :
6×6 = 36 cm²
area of the triangle :
6×4/2 = 6×2 = 12 cm²
height of triangle :
area of the triangle is
10×height/2 = 40
10×height = 80
height = 80/10 = 8 cm
width of the logo :
the central square has ashtray an area of 5×5 = 25 cm².
that leaves us 125 - 25 = 100 cm² for the 4 triangles.
I assume all 4 triangles are equal, so each has an area of 100/4 = 25 cm².
the area of such a triangle is
baseline × height / 2.
so, in our case
5 × height / 2 = 25
5 × height = 50
height = 10 cm
and so, the width of the logo is 2 times the height of these side triangles, and 1 time the side length of the central square :
2×10 + 5 = 25 cm
julia and her friends are making kites out of paper. For each kite, they need a piece of paper that is \dfrac{65}{100} \text{ meter} 100 65 meterstart fraction, 65, divided by, 100, end fraction, start text, space, m, e, t, e, r, end text wide. How many centimeters of paper will they need to make 444 kites?
Answer:
260 cm
Step-by-step explanation:
Each 1/00 of a meter is 1 cm, so 65/100 meters is 65 cm. If that is the length of paper required for 1 kite, then 4 times that length will be required for 4 kites.
__
The paper required for 4 kites is ...
(65 cm) × 4 = 260 cm
what is the mean median mode and range of 14, 9, 20, 5, 17, 13
Answer:
no mode, median=8.5 mean 13
Step-by-step explanation:
5, 9, 13, 14, 17, 20
8.
Find the probability that two of the customers get the silver cars and one gets a white ca
Answer: 2:1
Step-by-step explanation:
the probability that they get they get the silver cars and someone else gets the white is 2:1
help meee pleaseee ~ :)) <3
[tex]v = \frac{lwh}{3} [/tex]
[tex]v = \frac{9 \times 8 \times 9}{3} [/tex]
[tex]v = 216 \: {cm}^{3} [/tex]
Volume of the rectangular prism:[tex]v = lwh[/tex]
[tex]v = 8 \times 7 \times 9[/tex]
[tex]v = 504 \: {cm}^{3} [/tex]
Total volume:[tex]v = 216 + 504[/tex]
[tex]v = 720 \: {cm}^{3} [/tex]
volume of the rectangular pyramid is 216 cm^3.
volume of the rectangular prism is 504 cm^3.
Total volume is 720 cm^3.
Hey guys! Sorry to bother but I need help with these. 5th grade math, will give brainliest! (If you see multiple questions by me that look the same, they are all different.)
Answer:
Question 3: 1/15 Question 4: 50
Step-by-step explanation:
Just divide the fractions by the numbers.
ms. Diaz buys strawberries by the pound at a farmers market . she pays $21.25 for all her strawberries. one pound of strawberries cost $4.25
Answer:
5 strawberries
Step-by-step explanation:
$21.25÷$4.25=5
if 5(3x-1)=55 what is the value of 2x-2
Hey ! there
Answer:
Value of 2x - 2 is 6 .Step-by-step explanation:
In this question we are provided with an equation that is 5 ( 3x - 1 ) = 55 and we are asked to find the value of 2x - 2 .
Firstly , we need to find the value of x . So we need to solve the equation .
SOLUTION : -
[tex] \quad \longmapsto \qquad \: 5(3x - 1) = 55[/tex]
Step 1 : Dividing with 5 on both sides :
[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{5}(3x - 1)}{ \cancel{5}} = \cancel{\dfrac{55}{5} }[/tex]
On cancelling , We get :
[tex] \quad \longmapsto \qquad \:3x - 1 = 11[/tex]
Step 2 : Adding 1 on both sides :
[tex] \quad \longmapsto \qquad \:3x - \cancel{1} + \cancel{1} = 11 + 1[/tex]
On simplifying , We get :
[tex] \quad \longmapsto \qquad \:3x = 12[/tex]
Step 3 : Dividing with 3 on both sides :
[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3}} = \cancel{ \dfrac{12}{3} }[/tex]
We get ,
[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x = 4}}}[/tex]
→ Therefore , value of x is 4 .
Verifying : -
Now we are verifying whether our answer is wrong or right . So ,
5 ( 3x - 1 ) = 555 { 3( 4 ) - 1 } = 555 ( 12 - 1 ) = 555 ( 11 ) = 55L.H.S = R.H.SHence , Verified .Therefore , our value of x is correct/valid .
We need to find the value of 2x - 2 .
[tex] \quad \longmapsto \qquad \:2x - 2[/tex]
So substituting value of x in it :
[tex]\quad \longmapsto \qquad \:2( \bold{4}) - 2[/tex]
Multiplying 2 with 4 :
[tex]\quad \longmapsto \qquad \:8 - 2[/tex]
Subtracting 2 from 8 :
[tex]\quad \longmapsto \qquad \: \blue{\underline{\boxed{\frak{6}}}} \quad \: \bigstar[/tex]
Henceforth, value of 2x - 2 is ❝ 6 ❞.#Keep LearningDoes anyone know this one I would love help
Answer:
c
Step-by-step explanation:
the graph shows a constant speed an no change in distance
Micah wants to cover the seats with a weatherproofing stain how much stain will he need
Answer:
Enough to cover the seat
Step-by-step explanation: If this is a question dealing with the area of said object (seat) simply make an equation to find the area of your object. So let's say we got a seat that is 4 feet wide and 6 feet tall.
We will multiply 4 feet times 6 feet and that's where we get 24 feet.
So we know how many inches are in a feet right, there are 12 inches per foot. So 12 time 24 is our problem 12 x 24 = 288 inches. So we would need enough stain to cover 288 inches .
I hope this helps, when you ask for an awswer on brainly. I would highly recommend providing as much relevant context as you can. Have a nice day, and don't over think things ;)
3.75
divided by 25
round off to the nearest rand
Answer:
0.15 is the answer
Step-by-step explanation:
Solve 2 log x = log 36. x = 1.6 x = 6 x = 18 x = 72
Answer:
Answer is B. X=6, Positive and negitive terms cancel out
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
I took the test
(6×1,000)+(1×100)+(2×10)+(9× 10 1 )+(4× 100 1 )=?
Answer:
11033
Step-by-step explanation:
On Amber’s math test, she was asked whether the equation x=1/2y^2 represents a function. She made the following table and graph. Amber concluded that the equation represents a function. Which additional point could be added to the graph to show Amber that the equation does not represent a function?
A. (–2, 2)
B. (0, 0)
C. (8, –4)
D. (8, 8)
Answer:
C
Step-by-step explanation:
I took the test.
The additional point could be added to the graph to show Amber that the equation does not represent a function will be (8, -4). Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The equation is given below.
x = (1/2)y²
For the single value of x, the value of y is not single.
Thus, it is not a function.
The additional point could be added to the graph to show Amber that the equation does not represent a function will be (8, -4).
Then the correct option is C.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
A diagonal of a cube measures
150 cm. The diagonal of a face measures 10 cm.
3999
What is the length, in centimeters, of an edge of the cube? Round the answer to the nearest tenth.
centimeters
Save and Fit
S
Answer: 7cm
Step-by-step explanation:
Use pythagorean theorum:
Variables:
Let the edge = A
Face diagonal (F) = 10cm
Inner diagonal (I) = sqrt(150) cm
A^2 = I^2 - F^2
A^2 = [sqrt(150)]^2 - 10^2
A^2 = 150 - 100
A^2 = 50
A = sqrt(50)
A = 7.0710678 cm
A = 7cm (to the nearest tenth)
so, length of an edge = 7cm
Select the quotient that is less than 1?
A) 2.805 ÷ 2.58
B) 1.001 ÷ 1.01
C) 0.46 ÷ 0.406
Find the distance between (5, 6) and (-9, -2)
Answer:
So we must determine the distance between our two given points and that can be found using the distance formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
Plugging the values into the equation and solve
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-9-5)^2+(-2-6)^2}[/tex]
[tex]d=\sqrt{(-14)^2+(-8)^2}[/tex]
[tex]d=\sqrt{196+64}[/tex]
[tex]d=\sqrt{260}[/tex]
[tex]d=16.125\ units[/tex]
Therefore, our final answer is that the distance is 16.125 units
Hope this helps! Let me know if you have any questions
A hockey puck strikes a wall at an angle of 30 degrees. the puck then travels away from the wall at the same angle.
Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.
What are supplementary angles?Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,
30° + ∠y + 30° = 180°
60° + ∠y = 180°
∠y = 180° - 60° = 120°
Hence, the measure of the ∠y is 120°.
Learn more about Supplementary Angles:
https://brainly.com/question/2882938
#SPJ1
Linet passes through points (2, 2) and (10, 9). Line u is parallel to line t. What is the slope of
line u?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
7/8
Step-by-step explanation:
Understanding the situation
Parallel lines have the same slopes.
If line t is parallel to line u then the slope of line t is the same as the slope of line u.
Finding the slope of line t
Slope formula = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
where the x and y values are derived from points on the line
here, we are given that line to goes through (2,2) and (10,9)
Given that we can assign variables
we have (x1,y1) = (2,2) so x1 = 2 and y1 = 2
we also have (x2,y2) = (10,9) so x2 = 10 and y2 = 9
Now that we have assigned variables we plug them into the formula
Recall formula : [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
==> plug in x1 = 2 , y1 = 2, x2 = 10 and y2 = 9
[tex]slope =\frac{9-2}{10-2}[/tex]
==> simplify top and bottom
[tex]slope =\frac{7}{8}[/tex]
The slope of line t is 7/8
Finding the slope of line u
Because line t and line u are parallel line u also has a slope of 7/8
What is the value of the expression g (g + 1)2 for g = 2 ?
F.
10
G.
12
H.
18
J.
20
K.
36
Answer:
Step-by-step explanation:
2(2 + 1)^2 = 2(3)^2 = 2(9)= 18
Emma is great at the standing long jump. Her best jump is 10 feet 8 inches. How many inches is this?
Answer:
128 in.
Step-by-step explanation:
1 ft = 12 in
10 x 12 = 120
120 + 8 = 128
128 in.
can somebody helpp wit these two????
Answer:
i think the answer is c
Step-by-step explanation:
if 6y+3x+=15 what is the value of 5(3x+6)?
Answer: 15x+30
Step-by-step explanation:
The value of 5(3x+6) is 15x+30
What is the distributive propertyTo “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given that;
[tex]5(3x+6)[/tex]
/ \
[tex]15x+30[/tex]
Therefore, The value of 5(3x+6) is 15x+30
Learn more about the distributive property here:
brainly.com/question/4077386
Victoria wants to purchase a skateboard. She has $125 to spend. She
finds one that regularly sells for $140 and is on sale for 15% off. Sales
tax is 7%.
Victoria says that she has enough money to buy the skateboard. Is she
correct?
Answer:
we know that
Victoria has $125 to spend
[purchase price skateboard]=$139.99-0.15*$139.99-----> $139.99-$21
[purchase price skateboard]=$118.99
sales tax is 7%----------> 0.07*$118.99----------> $8.33
sales tax is $8.33
Victoria has to pay [$118.99]+[$8.33]=$127.32
$127.32 > $125
therefore
Victoria has not enough money to buy the skateboard
the answer is
Victoria has not enough money to buy the skateboard
Step-by-step explanation:
Which of the following could be the length of the sides of the triangle. YES or NO
1. 13,10,11
2. 12,8,10
3. 2,2,4
4. 6,7,8
5. a,b,a+b
6. 21,9,38
7. 20,20,41
8. 4.5,8.5,12.5
9. 12.4,7.2, 20
10. 56,44,90
Answer:
it's I'd 20,20,41 number seven
This is an example of which method/property?
Answer:
distributive
Step-by-step explanation:
(x+y) (z) = xz+ yz is distributive
what is 635 divided by 8
Answer: 79.375
Step-by-step explanation:
Answer:
79.375
Step-by-step explanation:
hope i helped
What is the slope of the line shown below?
Answer:
7/3
Step-by-step explanation:
-5-9/0-6
-13/-6= 2.167777
y2-y1/x2-x1
Answer:
C
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (6, 9) ← 2 points on the line
m = [tex]\frac{9-(-5)}{6-0}[/tex] = [tex]\frac{9+5}{6}[/tex] = [tex]\frac{14}{6}[/tex] = [tex]\frac{7}{3}[/tex]
