Answer:
x=2
Step-by-step explanation:
x= 4/2
x =2
When you translate (x-2, y + 6) the figure will move____?
a. 2 units right and 6 units right
b.2 units left and 6 units down
c.2 units left and 6 units up
d. 2 units left and 6 units right
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
Answer:
A
Step-by-step explanation:
The answer is A
The roots of the given quadratic equation are -
x = 2 and x = 1.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a quadratic function f(x) defined as -
f(x) = x³ - 3x² + 2
The given quadratic function f(x) is -
f(x) = x³ - 3x² + 2
We can write the roots of the equation as -
x = {3 ± √(9 - 8)}/2
x = {3 + √(9 - 8)}/2 and {3 - √(9 - 8)}/2
x = (3 + 1)/2 and x = (3 - 1)/2
x = 2 and x = 1
Therefore, the roots of the given quadratic equation are -
x = 2 and x = 1.
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On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you have moved a horizontal distance of 90 feet. Find the height of the escalator.
The height of the escalator is as calculated using trigonometric ratios.
We know that in a right angled triangle the trigonometric ratios are
tan θ = perpendicular ÷ base
For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .
Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.
Now using the trigonometric ratio of tanθ
tan θ = 2 / 3
Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .
Now, the height is given as h .
∴ tan θ = h / 90
or, 2 / 3 = h / 90
or, h = 60 feet
Therefore the height of the escalator is 60 feet.
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One of the legs of a right triangle is twice as long as the other, and perimeter of the triangle is 28. Find the lengths of all three sides, to three decimal places
Step-by-step explanation:
One leg is x, the second leg is 2x and the hypotenuse is:
h = [tex]\sqrt{x^2+(2x)^2} =\sqrt{5x^2} =x\sqrt{5}[/tex]Perimeter is:
x + 2x + x√5 = 28x(3 + √5) = 28x = 28/(3 + √5) ≈ 5.348The sides are:
5.348, 2*5.348 = 10.6965.348*√5 = 11.958
The distance across a two lane road
In the United States, the Interstate Highway standards for the Interstate Highway System use a 12 ft (3.7 m) standard lane width, while narrower lanes are used on lower classification roads. In Europe, laws and road widths vary by country; the minimum widths of lanes are generally between 2.5 to 3.25 m (98 to 128 in).
hi Help pls will mark as brainlist!!!!!!!!!
Answer:
-1/10
Step-by-step explanation:
-7/24 by the reciprocal of 35/12
The reciproical of 35/12 is 12/35
-7/24 * 12/35
Rewriting
-7/35 * 12/24
-1/5 * 1/2
-1/10
Can someone tell me the answer to this please?
Answer choice C is incorrect
helppppppppppppppppppppppppppppppppppppppppppp
Answer:
hope you like my answer its 2/7
Read the statement below and then select the idea that can be inferred from the statement.
Toxicity is high in cities. HELP FASSSSSSSST!!!!!
Environmental scientists help keep the air safe.
Temple University is near Philadelphia.
There is some lead in drinking water.
There are more factories in the city than in the country.
Ground soil can become poisoned with lead.
Answer: I would say 4
Step-by-step explanation:
Answer:
There are more factories in the city than in the country.
Step-by-step explanation:
Hope this helps!
The population in Smalltown in 2010 was 45,230 people and is growing exponentially at a rate of 2%. What will the population be in 2030?
A) 67,209
B) 67,475
C) 81,928
D) 82,414
Answer:
Let P(t) = population t years after 2010
= 45230e0.02t
Population in 2030 = P(20)
= 45230e0.4≈ 6747
help whats
2 x 3 + 4 -6r2
PLEASE ANSWER FAST
Answer:
-6r^2 + 10
Step-by-step explanation:
2 × 3 + 4 - 6r^2
= 6 + 4 - 6r^2
= -6r^2 + 10
Answer:
- 6r² + 10
Step-by-step explanation:
```````````````````````````
2 × 3 + 4 - 6r²
→ 6 + 4 - 6r²
→ 10 - 6r²
→ - 6r² + 10
```````````````````````````
g(x)=-3x+2 and g(x)=-1, find x
Answer:
x=1
Step-by-step explanation:
alguien que me diga como se saca la X en ecuaciones cuadraticas porfaaaaaaaaa
Answer:
lol
Step-by-step explanation:
to get x in quadratic equations, factor it
. There are 2 boys for every 3 girls in Mrs. Sorrentino's class. If there are 30 students in
the class, what percentage are boys?
(Please show how to solve this question , step by step!)
Answer:
40% are boys
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 = 5 parts
Divide number in class by 5 to find value of one part of ratio
30 ÷ 5 = 6 ← value of 1 part of the ratio, then
2 parts = 2 × 6 = 12 ← number of boys in class
percentage = [tex]\frac{boys}{total}[/tex] × 100%
= [tex]\frac{12}{30}[/tex] × 100%
= 0.4 × 100% = 40%
Answer:
40% simplify the fraction then divide (boys/total) then multiply by 100
Step-by-step explanation: 2+3 = 5 is the distributer then : 30/5 = 6 then if 2 are boys 2 x 6 = 12 is the amount of boys 12/30 = 2/5 simplified and then x 100 to fraction's to find percentage 2/5 x 100 = 40%
what is the answer to 8x−13=59
Answer: x=9
Explanation:
8x-13=59
8x-13+(13)=59+(13)
simplify add the numbers
8x=72
Divide both sides of the equation by the same term
8x=72
8x/8=72/8
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
x=9
Please Help Me! Look at the Image!
Answer:
y=-2x+1
Step-by-step explanation:
Just look at photo dap
Identify the factors of the terms of the expression.
6 + 2a + 15b the factors of the terms are?
Given :
6 + 2a + 15bTo find :-
The factors of the terms of the expression.Solution :-
First term :-
6 Factors = 1 , 2,3,6Second term :-
2a Factors = a , 1 , 2Third term :-
15bb,1,3,5,15i need to know what 26.6 divided by 7 is.
Answer:3.8
Step-by-step explanation:
ANSWER PLEASE AND PLEASE SHOW WORKING
ONLY ANSWER IF UR ARE ANSWERING THE QUESTION PLEASE
Answer:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7
Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is -8 .
-7 + -1 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -1
x2 - 7x - 1x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
1 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-7)
Which is the desired factorization
Step-by-step explanation:
x = 7 or 1
The circumference of a circle can be found using the formula c=2 pi r.
Which is an equivalent equation solved for r
The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/π2 .
John Paulo bought 10 plastic discs. Each disc weighs 0.9 ounces. How much do the 10 plastic discs weigh in all?
Answer:
9
Step-by-step explanation:
.9*10=10
it's basically simple multiplication with a decimal
Simplify this expression s square root 5 (13+ square root 2)
Answer:
65 + 5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
5(13 + [tex]\sqrt{2}[/tex]) ← multiply each term in the parenthesis by 5
= 65 + 5[tex]\sqrt{2}[/tex]
Find the slope on the graph shown
Answer:
4/3
Step-by-step explanation:
Answer:
The answer is 4/3.
what is the answer for this question
Answer:
5
Step-by-step explanation:
Answer:
5 centimeters
Step-by-step explanation:
leaf is 11cm, catepillar is 6.... 11-6=5
3x(6x + 5)
4x(2x-3y)
Step-by-step explanation:
1) 3x(6x+5)
= 18x+15x
= 33x Answer
2) 4x(2x-3y)
= 8x-12xy Answer
Cannot be solved because it has unlike terms
Yash can buy three pencils and have 49c change, or he can buy five pencils and
have 15c change.
(1) Write this information as an equation for x the cost in cents of one pencil.
(ii) How much money did Yash have to start with?
Answer:
(ii) 1 dollar
Step-by-step explanation:
each pencil costs 17 cents
- thus 3 pencils x 17c is 51c
1.00 dollars minus 0.51 is 49
- 5 pencils x 17c is equal to 85
1.00 dollars minus 0.85 is 15 c
The Cortez family is traveling from Miami to Washington, D.C. They plan to average 55 miles per hour on their trip.
About how many drive hours will it take the Cortez family to make the trip?
Step-by-step explanation:
Miami is approximately 1,054 mi away from Washington DC. assuming the Cortez family is driving in a straight line the time they will be on the road is
[tex]let \: h = hrs[/tex]
[tex] 1054mi \div \frac{55mi}{h } \\ \frac{1054mi}{1} \times \frac{h}{55mi} \\ = \frac{1054mi(h)}{55mi} [/tex]
The miles unit, mi cancels and leaves us with hours, h
[tex] \frac{1054 \: h}{55} \: \: \: \: is \: approx. \: \: \: \: 19.16 \: \: hrs[/tex]
13 25 37 arthmetic progression
Answer:
Progression in increments of value 12
Step-by-step explanation:
13 25 37 49 61 73 85 97 .....
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Miss Hawaii
53.98% of the area under the distribution curve lies to
the left of it.
Answer:
54%
Step-by-step explanation:
The graph below could be the graph of which exponential function
Answer:
A
Step-by-step explanation:
The graph below could be the graph of A) F(x) = 2*[tex](0.7)^x[/tex] exponential function.
The graph of the function F(x) = 2 * [tex](0.7)^x[/tex] is a decreasing exponential function. This is because the base of the exponent, 0.7, is between 0 and 1. As x increases, the value of [tex](0.7)^x[/tex] decreases, so the value of F(x) decreases.
The graphs of the other functions are all increasing exponential functions. This is because the bases of the exponents, 2, 5, and 1.4, are all greater than 1. As x increases, the value of [tex]2^x[/tex], [tex]5^x[/tex], and [tex]1.4^x[/tex] increases, so the value of the functions F(x) = 2 * [tex]2^x[/tex], F(x) = 2 * [tex]5^x[/tex], and F(x) = 2 * [tex]1.4^x[/tex] increases.
Therefore, the graph of the function F(x) = 2 * [tex](0.7)^x[/tex] is the only graph that is decreasing. So the answer is A.
Here is a table that summarizes the properties of the graphs of the four functions:
Function Base of the exponent Graph
F(x) = 2 * [tex](0.7)^x[/tex] 0.7 (between 0 and 1) Decreasing
F(x) = [tex]2^x[/tex] 2 (greater than 1) Increasing
F(x) = 2 * [tex]5^x[/tex] 5 (greater than 1) Increasing
F(x) = 2 * [tex]1.4^x[/tex] 1.4 (greater than 1) Increasing
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