Which of the following is a factor of f(x)=4x^3+11x^2-75x+18
Answer:
f(x)=(4x−1)(x−3)(x+6)
Step-by-step explanation:
A t-shirt increased in price by
1
—
4
. After the increase it was priced at £85. What was the original price of the t-shirt? I will mark brainless!!
Step-by-step explanation:
81×1/4
=20.24
this is the answer
A 13-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches ___ feet up the wall (round to the nearest humdredth)
Answer:
13^2-5^2=144 then u square root ur answer to get 12 ft up the wall
Step-by-step explanation:
Question
Enter an equation in point-slope form for the line.
(2, 4) and (3, 3) are on the line.
An equation of the line in point slope form is:
Given:
(2, 4) and (3, 3) are on the line.
To find:
The equation of line in point slope form.
Solution:
If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
(2, 4) and (3, 3) are on the line. So, slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-4}{3-2}[/tex]
[tex]m=\dfrac{-1}{1}[/tex]
[tex]m=-1[/tex]
The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is
[tex]y-4=-1(x-2)[/tex]
Therefore, an equation of the line in point slope form is [tex]y-4=-1(x-2)[/tex].
What is the slope of the following equation? y = -x + 3
Pythagoras
(Show work)
Answer:
x = 10.6
i just used the pythagorean theorem, you can copy my work.
I need help with ANGLES!!!!!!!!!!
Answer: I see acute, obtuse, and right angle.
Step-by-step explanation:
in a survey of villages, it was found that 25% of the people have visited kaduna and 20% have visited Calabar. if 5% visited both cities, what percentage have visited neither towns
Answer:
60% have visited neither town
q/2 - p/3 = 1/6
p/2 - q/6 = 5
X=59÷3 and y=29
Step-by-step explanation:
Days the answer
Answer:
p = 13, q = 9
Step-by-step explanation:
Given the 2 equations
[tex]\frac{q}{2}[/tex] - [tex]\frac{p}{3}[/tex] = [tex]\frac{1}{6}[/tex] ( multiply through by 6 to clear the fractions )
3q - 2p = 1 → (1)
[tex]\frac{p}{2}[/tex] - [tex]\frac{q}{6}[/tex] = 5 ( multiply through by 6 to clear the fractions )
3p - q = 30 , that is
- q + 3p = 30 → (2)
Multiplying (2) by 3 and adding to (1) eliminates the term in q
- 3q + 9p = 90 → (3)
Add (1) and (3) term by term to eliminate q
7p = 91 ( divide both sides by 7 )
p = 13
Substitute p = 13 into (2) for corresponding value of q
- q + 3(13) = 30
- q + 39 = 30 ( subtract 39 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
Thus p = 13 and q = 9
can someone help me out? i’m not sure what the answers would be for these 5, thanks.
Answer:
<6 and 4 are supplementary angles. Supplementary angles add up to 180. therefore <6 and <4=180--->m<6=65---->180-65=115---> m<4-115
2. 115°
By using vertical angles theorem we see that angles opposite to each other like 5 and 8 are congruent.
Therefore m<8 = m<5
3. 122
<3 and <6 are congruent by the alternate interior angles theorem which states that interior angles that are opposite one another such as 6 and 3 are congruent.
4. 73°
<4 and <7 are supplementary since the <4 is equal to the <8 and the <8 is supplementary to 7.
180-107=73
5. 73°
Step-by-step explanation:
Violet is trying to start an Intramural Club at her school. The principal tells her she must get signatures from students to show support. Each filled sheet contains 25 signatures. By Monday, she and her friend already have 6 sheets filled with signatures. The principal tells Violet she must have 7 more sheets filled with signatures. Write an equation for the number of signatures Violet will get. If she fills all of these, how many signatures will she get in all?
Answer:
325
Step-by-step explanation:
Let s represent sheets
Let x represent number of signatures needed
s = 25 signatures
6s + 7s = x
Plug in the function
6(25) + 7(25)
= 150 + 175
= 325
x = 325
In total she will need 325 signatures
Help plzzzzzzzzzzzz help me
Answer:
wow-
Step-by-step explanation:
ngl, thats hard.
rationalize the denominator of 1/√3
Answer:
√3/3
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate.
Hope this helps!! Please consider marking brainliest! Have a good one!!
Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.
If the radical in the denominator is a square root, then you multiply by a square root that will give you a perfect square under the radical when multiplied by the denominator. If the radical in the denominator is a cube root, then you multiply by a cube root that will give you a perfect cube under the radical when multiplied by the denominator and so forth...
Note that the phrase "perfect square" means that you can take the square root of it. Just as "perfect cube" means we can take the cube root of the number, and so forth.
Keep in mind that as long as you multiply the numerator and denominator by the exact same thing, the fractions will be equivalent.
Step 2: Make sure all radicals are simplified.
Some radicals will already be in a simplified form, but make sure you simplify the ones that are not. If you need a review on this, go to Tutorial 39: Simplifying Radical Expressions.
Step 3: Simplify the fraction if needed.
Be careful. You cannot cancel out a factor that is on the outside of a radical with one that is on the inside of the radical. In order to cancel out common factors, they have to be both inside the same radical or be both outside the radical.
[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]
rationalize the denominator of 1/√3[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]
[tex] \frac{1}{ \sqrt{3} } \\ \\(to \: rationalize \: the \: denominator \\ we \: have \: multiply \: \frac{1}{ \sqrt{3} } \: to \: the \:given \: fraction \: \: \: ) \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ = ( \frac{1}{ \sqrt{3} } ) {}^{2} \\ = \frac{1}{3} [/tex]
HOPE IT HELPS YOU..
what value of P makes the equation true
-3p+1/8= -1/4
Step-by-step explanation:
Hey there!
Given;
-3p + 1/8 = -1/4
Simplify it to get the value of"p".
[tex] - 3p + \frac{1}{8} = - \frac{1}{4} [/tex]
[tex] \frac{ - 24p + 1}{8} = \frac{ - 1}{4} [/tex]
[tex] 4(- 24p + 1) = - 1 \times 8[/tex]
[tex] - 96p + 4 = - 8[/tex]
[tex] - 96p = - 8 - 4[/tex]
[tex]p = \frac{ - 12}{ - 96} [/tex]
[tex]p = \frac{ 1}{8} [/tex]
Therefore, p = 1/8.
Check:
-3*1/8 +1/8 = -1/4
-3/8+1/8= -1/4
-1/4 = -1/4
Therefore, the value of "p" must be (1/8) to satisfy the equation.
Hope it helps...
Devin is buying 2 concert tickets. The concert tickets have a regular price of $40 each. Devin has a coupon that gives a 5% discount off of the regular price of the tickets. He will then pay a 10% purchasing fee on the discounted price of the tickets. What is Devin's total cost of the two tickets after the discount and the fee?
Given :
Devin is buying 2 concert tickets. The concert tickets have a regular price of $40 each.
Devin has a coupon that gives a 5% discount off of the regular price of the tickets. He will then pay a 10% purchasing fee on the discounted price of the tickets.
To Find :
Devin's total cost of the two tickets after the discount and the fee.
Solution :
Discount on price, D = 40×0.05 = $2 .
Price of product after discount, P = $( 40 - 2 ) = $38 .
Now, total price after adding purchasing fee is :
T = P + (P×0.10)
T = 38 + (38×0.10)
T = 38 + 3.8
T = $41.8
Therefore, Devin's total cost of the two tickets after the discount and the fee is $41.8 .
Hence, this is the required solution.
Put these into y=mx+b format SHOW YOUR WORK!!!! x-7y=7 and 6x-7y=-28
PLLLZZ HELP ASAP! 10 PTS!!
Answer:
18.3303
Step-by-step explanation:
8x8 = 64
20x20=400
64-400= 336
√336 = 18.3303027798
or 18.3
I just need the answer to number 2
Answer:
79°
( vertically opposite angles are equal. So, <AOB = < A'OB' )
Answer:
∠ A'OB' = 79°
Step-by-step explanation:
∠ AOC = ∠ C'OA' = 35° ( vertical angles )
BOB' is a straight angle , thus
∠ COB' = 180° - (79 + 35)° = 180° - 114° = 66°
C'OC is a straight angle, thus
∠ A'OB' = 180° - (66 + 35)° = 180° - 101° = 79°
Which of the following graphs represents the equation above?
y=1/2x-2
Answer:
There’s no graphs
Step-by-step explanation:
Answer:
Step-by-step explanation:
Manuel y Carlos encuentran un libro de matemática usado y en una de las hojas se observa la figura de un poliedro demasiado borrosa, pero se ven algunos datos sobre él que dicen: El poliedro tiene 12 aristas y la suma de su número de caras con su número de vértices es 14. Manuel afirma que se trata de un dodecaedro y Carlos dice que es un cubo. ¿Quién de ellos tiene la razón?
Answer:
Carlos tiene razón. El poliedro es un cubo.
Step-by-step explanation:
Comencemos analizando el número de caras del dodecaedro y del cubo.
El dodecaedro está conformado por 12 caras.
El cubo en cambio, está conformado por 6 caras.
En cuanto a aristas el dodecaedro tiene 30 aristas y en cambio el cubo tiene 12. Por ende, descartamos la idea de que el poliedro sea un dodecaedro.
Finalmente en cuanto a vértices, el dodecaedro tiene 20 vértices y el cubo tiene 8 vértices.
Si sumamos el número de caras y el número de vértices en el cubo obtenemos :
6 + 8 = 14
Con esto, verificamos que la figura borrosa es de un cubo y que Carlos tiene razón.
please answerrrr
simplify (-2)^4(-2)
Answer:
-32
Step-by-step explanation:
(-2)^4(-2)
-2x-2x-2x-2
16(-2)
-32
Mrs. Mireles needs to hire landscapers to maintain her yard. Company L charges $250 per month plus $30 per hour. Company S charges $200 per month plus $35 per hour. Which inequality can be used to find x, the minimum number of hours each company would have to work so that the total charges from Company L is less than the total charges from Company S?
Answer:
10 hoursStep-by-step explanation:
Step one:
given information
Company L charges
monthly charge= $250
hourly charge= $30
let the total charge be y
and the number of hours be x
y=30x+250----------1
Company S charges
monthly charge= $200
hourly charge= $35
let the total charge be y
and the number of hours be x
y=35x+200------------2
Step two:
equating 1 and 2
30x+250=35x+200
collect like terms
30x-35x=200-250
-5x=-50
x=50/5
x=10
10 hours
Compare the values.
4x 107 is
?
times as much as 4 x 103.
10^4
4 x 10^10
10^10
4 x 10^4
Answer:
10^4 timesStep-by-step explanation:
Compare
4*10^7 and 4*10^3Dividing
4*10^7/4*10^3 = 4/4*10^(7 - 3) = 1*10^4 = 10^4The first number is 10^4 times as much as the second number
Find the slope of the line without graphing using the 2 points below.
(3 , 6) & (11, 6)
m = _______
Answer:
m = 0
Step-by-step explanation:
1. use the slope formula --> (y2-y1)/(x2-x1)
2. (6 - 6)/(11 - 3)
3. 0/8
4. m = 0
Write the equation of the line that passes through the points (-2,0) and (1,2).
Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
Find the slope using rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(2 - 0) / (1 + 2)
2 / 3
= 2/3
Then, plug in the slope and a point into y = mx + b to solve for b:
y = mx + b
2 = 2/3(1) + b
2 = 2/3 + b
1 1/3 = b
Plug in the slope and y intercept into y = mx + b
y = 2/3x + 1 1/3 is the equation of the line
A loaf of sandwich bread contains 24 slices. Which of these tables correctly shows the ratios of different numbers of loaves of bread to the numbers of total slices they contain?
Answer:
15
Step-by-step explanation: i'm not explaining why
Good Morning Ethansledd17!
what is 54873578x958498=?
Answer: 5.259621477e13
Step-by-step explanation: Hoped this helped!!!
Answer:
5.2596215e+13
Step-by-step explanation:
hope it helps!
I just wanna know how I solve this: "Select the division equation that can be used to find the solution to the problem. 4/9 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost? "
9514 1404 393
Answer:
$4.50
Step-by-step explanation:
To find cost per kilogram, divide the cost by the number of kilograms it corresponds to.
($2)/(4/9 kg) = (2)(9/4) $/kg = $4.50 /kg
1 kilogram costs $4.50.
Which expression can be used to check the answer to 56 divided by (negative 14) =-4?
Answer:
-14x(-4)
Step-by-step explanation:
inverse operation i think its called
what is the answer to -2x+10=40
Answer:
-15
Step-by-step explanation:
Answer:
x=-15
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve