Answer:Set \displaystyle f\left(x\right)=0f(x)=0.
Step-by-step explanation:
Set \displaystyle f\left(x\right)=0f(x)=0.
If the polynomial function is not given in factored form:
Factor out any common monomial factors.
Factor any factorable binomials or trinomials.
Set each factor equal to zero and solve to find the \displaystyle x\text{-}x- intercepts.
The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for π.
Answer:
1,436.8
Step-by-step explanation:
help me out, please!
Answer:
y = 2/3(x - 3)
Step-by-step explanation:
slope of the line is 2/3
we can use point (3,0)
formula: y - y = m(x - x)
y - 0 = 2/3 (x - 3)
y = 2/3(x - 3)
Álgebra/help
There are 4 consecutive integers that have sum of 266 . Which integers are they?
Answer:
the four consecutive integers are 65 , 66 , 67 and 68 .
Step-by-step explanation:
you should let the first integer be x
so that would leave the 2nd as x + 1
The 3rd would be x + 2
and the 4rth would be x + 3
so X + X + 1 + X + 2 + X +3 =266
you can combine your like terms:
X+X+X+X= 4x
and 1+2+3=6
then you do simple algebra:
4x= 266-6
266-6= 260
4x=260
divide both sides by 4
260/4 is 65
x = 65
65 is your answer then you go up by 3 numbers.
hope I helped!!!
Just please help me, im trying to cram multiple things at once (house is crazy) and I just cant seem to concentrate and understand these.
Answer:
Step-by-step explanation:
here is how you find the answer
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
now apply the above rules to the given triangle
where we are given the angle of 30° and the Adj side of 27
y is the Hyp of this triangle and x is the Opp side of this triangle, now plug in the given values as follows
so use CAH Cos(30) = 27 / Hyp
Hyp = 27 / Cos(30)
Hyp = 27 / ([tex]\sqrt{3}[/tex] / 2)
Hyp = 27 * 2 / [tex]\sqrt{3}[/tex]
Hyp = 54 / [tex]\sqrt{3}[/tex]
y = 54 / [tex]\sqrt{3}[/tex]
use SOH, since we know the exact value for the Hyp from above
Sin(30) = Opp / ( 54 / [tex]\sqrt{3}[/tex] )
Sin(30) * 54 / [tex]\sqrt{3}[/tex] = Opp
1/2 * 54 / [tex]\sqrt{3}[/tex] = Opp
27 / [tex]\sqrt{3}[/tex] = Opp
x = 27 / [tex]\sqrt{3}[/tex]
:)
look at triangle ABC
ABD is an isosceles triangle where AB=AD
work out sizes of angle x,y and z
Answer:
Step-by-step explanation:
x+110=180
x=70 degrees
y+40+110=180
y=30 degrees
z+70+90=180
z=20 degrees
It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car, and x represents the number of miles driven over 150 miles.
a.) What is the slope and what does it represent in the context of this problem?
b.) What is the y- intercept and what does it represent in the context of this problem?
Answer:
Read explanation
Step-by-step explanation:
A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.
B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.
When Shawn cleaned his room he found that the ratio of clean clothes to dirty clothes was 3 to 5 if 46 articles of clothing were discovered how many were clean
Answer:
17.25
Step-by-step explanation:
Ratio of clean clothes to dirty clothes = 3 : 5
Clean clothes = 3
Dirty clothes = 5
Total ratio = 3 + 5 = 8
Total clothing article = 46
how many were clean
Number of clean clothes = ratio of clean clothes / total ratio × total clothing article
= 3/8 × 46
= 0.375 × 46
= 17.25
An initial investment of $1000 grows at an interest rate of 4% per year. How long will it take that investment to reach $1,500? Assume that you make no further deposits or withdrawals from the investment account. Round to the nearest tenth of a year.
Answer:
it would take 12.5 or 12 and a half years
Step-by-step explanation:
QUICK HELP PLEASE TIME IS ALMOST UP!!
Answer: first one
Step-by-step explanation:
Help me with this!!!!
Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.
Please solve this for me
Answer:
Step-by-step explanation:
F
Simplify
X² - 4x+4 1-x²
_______×_______
3x+3 4-2x
Answer:
Do you take screen shoot otherwise we cannot understand your question
Step-by-step explanation:
A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?
Answer: 50 inches
Step-by-step explanation:
A golf group planned a trip to Squaw Valley, and 104 of the members signed up to go. If this is 10% of the group, how many members does the golf group have in total?
Group of answer choices
a 1040 members
b 114 members
c 110 members
d 204 members
Give two solutions of the inequality: p ≤ 3
Answer:
3,2
Step-by-step explanation:
3 is equal to 3 which can be it and 2 is less than 3
PLS PLS PLS PLS HELP!
Brainliest! Due in 15 mins! Please!
f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)
f(3)=?
Answer:
-10
Step-by-step explanation:
(-6)+(-4)
The ratio of pitchers to catchers at a baseball camp was 11:4. If there were 64 catchers, how many pitchers were at the camp?
Answer:
There were 176 pitchers at the camp.
Step-by-step explanation:
Given that,
The ratio of pitchers to catchers at a baseball camp was 11:4.
Let pitchers be 11x and catachers be 4x.
Total catchers = 64
4x = 64
x = 16
So,
Pitchers = 11x
= 11(16)
= 176
Hence, there were 176 pitchers at the camp.
BRAINLIEST and HELP!!!! A worker is connecting a cable from the rooftop of a school to a fence pole 7 ft away. The pole is 10 ft high. He uses 25 ft of cable to reach from the rooftop to the fence pole. How tall is the school?
(NOBODY ANSWER IF YOU DONT HAVE IT!!)
Answer:
yee its 34ft..........
Height of the school building is equals to 34ft.
What is height?
" Height is defined as one of the dimension which represents the distance between base and the top."
Formula used
Pythagoras theorem
(Hypotenuse)² = (Opposite side)² + (adjacent side)²
According to the question,
'h+ 10 ' represents the height of the building
As shown in the figure,
In the right triangle
' Hypotenuse' represented by length of the cable = 25ft
Adjacent side = 7ft
'h' is the height of the triangle
Substitute the value in the Pythagoras theorem we get,
[tex](25)^{2} = 7^{2} + h^{2}[/tex]
⇒ [tex]h^{2} = 625 - 49[/tex]
⇒ [tex]h = \sqrt{576}[/tex]
⇒ [tex]h = 24[/tex] ft.
Therefore,
Height of the school building [tex]' h + 10 '= 24 + 10[/tex]
[tex]= 34[/tex] ft.
Hence, height of the school building is equals to 34ft.
Learn more about height here
https://brainly.com/question/10726356
#SPJ2
1 point
When solving the system of equations below, what is the appropriate
substitution?
7x + 10y = -1
x = 5y - 8
O 7x + 10(5y - 8) = -1
7x + 10y = 5y - 8
O 7(5y - 8) + 10y = -1
O -1 = 5y- 8
A teacher is planning a class trip to the aquarium. The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, and how many are for students?
Answer:
75 student tickets and 10 chaperone tickets
Step-by-step explanation:
First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).
85 / 17 = 5
Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.
15 x 5 = 75 for students
5 x 2 = 10 for chaperones
Please help.
Algebra.
An angle measures 3.2° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
43.4° and 46.6°Step-by-step explanation:
x - measure of angle
x + 3.2° - measure of its complementary angle
Complementary angles adds to 90°
x + x + 3.2° = 90°
2x = 90° - 3.2°
2x = 86.8°
x = 86.8°÷2
x = 43.4°
x+3.2° = 43.4° + 3.2° = 46.6°
Translate triangle ABC 4 units right and 5 units down H E L P
A football field measures 100m by 72m . A school marks a football field similar in shape to a full size football field but only 30m long . What is its width ?
Answer: 240 m
Step-by-step explanation:
Given
Football field measures [tex]100\ m\times 72\ m[/tex]
Another similar field of length
[tex]L=30\ m[/tex]
and width, say W is marked
So, their area must be the same
[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]
The width of the football field is 41.7m
The football measures 100m by 72 m. The school football field is similar.
Similar rectanglesFor similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:
100 / w = 72 / 30cross multiply
3000 = 72w
divide both sides by 72
w = 3000 / 72
w = 41.6666666667
w = 41.7 m
learn more on proportion here: https://brainly.com/question/582443
#3. Write the slope-intercept equation of
the line
Answer:
y = - 4x + 5
Step-by-step explanation:
(y-1)/ (5-1) = (x-1)/(-1)
y-1 / 4 = -x+1
y-1 = -4x+4
y = - 4x + 5
I NEED HELP ASAP!!!! PLZ!!!!
Answer:
10.1
Step-by-step explanation:
Step-by-step explanation:
it goes by this formula
[tex]a = \frac{1}{2} bh \\ \\ \\ a = \frac{1}{2} 6 \times 4.1 = 12.3[/tex]
How are the SAS Similarity Theorem and the SAS Congruence Postulate alike? How are they different? did not mean to hit that answer.
simplify the expression 3x -2y+6-6x+5y-8
Answer:
-3x + 3y - 2
Step-by-step explanation:
Collect like terms and add/subtract
Mr. Smith decided to regularly wash his head with an antidandruff shampoo every three days. He began on January 1st, 2017 on Saturday. On what day of the week will he wash his head for the last time in 2017?
Answer:
If the first day is January 1st, 2017 on a "sunday"(Not saturday), that means that the last day is December 31, 2017 on a sunday. (Pog moment for mee)
Step-by-step explanation:
A trapezoid , having a height of 14 cm , has an area
of 224 cm² . The big base measures 2 cm more than the
small base. What are the lengths of the two bases ?
it should be solved as a system
Answer:
17 cm and 15 cm.
Step-by-step explanation:
Area of a trapezoid = h/2(a + b) where h = height and a and b are the 2 bases.
so we have:
(14/2)(a + b) = 224 Distributing:
7a + 7b = 224 Dividing thru by 7:
a + b = 32
Also we have
a - b = 2 where a = longest base.
Adding the last 2 equations:
2a = 34
a = 17
So b = 17 - 2 = 15.