Two friends tried to rewrite the expression 12 + 20 using the distributive property. Which friend is correct? Explain.
Ahmad: 6(3+7)
Deena: 4(3+5)
Answer:
Deena
Step-by-step explanation:
Write a factored equation that has the solutions x=6 and x=-1
Answer:
y = (x - 6)(x + 1)
Step-by-step explanation:
Use factored form, y = a(x - r1)(x - r2), where r1 and r2 are roots.
Since the solutions are 6 and -1, plug in these numbers:
y = (x - 6)(x + 1)
So, the factored equation is y = (x - 6)(x + 1)
Answer: (x-6)(x+1)
Step-by-step explanation:
If there are 3 apples for every 4 oranges, how many apples would you have if you had 20 oranges?
Answer:
6 Apples
Step-by-step explanation:
There would be six apples and 2 oranges left over.
Hope this Helps!
:D
Answer:
I was kind of confused on this one but is it 15 apples?
Step-by-step explanation:
3, 6, 9, 12, 15
4, 8, 12, 16, 20
I think the answer is 15 apples.
Which equation has the steepest graph?
a) y = 8x - 6
b) y = 3x + 7
c) y = -9x - 1
d) y = 42 x + 10
30 POINTS!
plz i need help ASAP
f(x)=2x+3 g(x)=x-4 Find (fg)(x) (Hint use FOIL)
Answer:
2x^2-5x-12
Step-by-step explanation:
using foil this should be the answer, do you need the solution values?
Which relationship between the legs and the hypotenuse of the right triangle is correct?
Answer:The answer is the option C
Step-by-step explanation:we know that
In a right triangle the Pythagorean Theorem states that
where
c is the hypotenuse (the greater side)
a,b are the legs of the right triangle
in this problem we have
substitute the values
Answer:
15^2 + 16^2= x^2
Step-by-step explanation:
I took the usa test prep test and this is how you calculate it
What is 75% of 80?
A.
20
B.
45
C.
60
D.
75
Answer:
the answer is C. 60 .....
Answer:
C 60 is the answer
Step-by-step explanation:
75x80 divided by 100= 60
Which angles are vertical angles?
Answer:
T and Q
Step-by-step explanation:
It is right
Answer:
<STQ and <UTV
Step-by-step explanation:
Solve for x
-22=2(x-10)
Answer:
−
2
2
=
2
(
−
1
0
)
x-22={\color{#c92786}{2(x-10)}}
x−22=2(x−10)
−
2
2
=
2
−
2
0
Step-by-step explanation:
Answer:
x=-21
Step-by-step explanation:
first expand the brackets
-22=2x-20
then make x on its own
-42=2x
then dived by 2
-21=x
y=−2x+9 write in standard form
Answer:
2 x − y = − 9
Step-by-step explanation:
I am not 100% sure but I think this is right.
Answer:
Step-by-step explanation:
2x+y=9
8x+2 factored using the GCF.
My friend is wondering this, I have seen responses but like all are different. Please help!
7th grade math.
Explanation:
For now, ignore the x.
The GCF of 8 and 2 is 2 since 2 is a factor of both
2 = 2*1
8 = 2*4
So if we had 8+2 we can factor 2 out like so to get 2*(4+1)
Notice that I divided each term by 2 when going from 8+2 to 4+1. Then I stuck a 2 outside. You can use the distributive property to check the result.
Similarly,
8x+2 = 2(4x+1)
which you can also check using the distributive property.
The hypotenuse of a right triangle is 8.2 inches long and one of the legs is 6.4 inches long. What is the length of the other leg?
Answer:
5.1
Step-by-step explanation:
To solve this equation I will use the formula a²+b²=c². For these terms I will represent the missing value as the variable a. The equation should be renewed as this: a²+6.4²=8.2², simplified: a²+40.96=67.24. I will now subtract 40.96 from 67.24 to get "a" by itself, as of which now I have a²=26.28. Next I square root both values: √a² =√26.28. The final answer is "a"= 5.1264022471905, otherwise, when rounded, "5.1". Hopefully this helps. A word of advice, when a problem gives you two values for a triangle, always refer to the equation a²+b²=c², as you will always find the missing value. Also remember that the legs cannot be of greater value than the hypotenuse which is the diagonal line. The hypotenuse is always "c".
The perimeter of a triangle is 59 cm. The first side is 7 cm shorter than the second side. The third side is 4 cm less than twice the length of the first side. Find length of each side
Given:
The perimeter of a triangle is 59 cm.
The first side is 7 cm shorter than the second side.
The third side is 4 cm less than twice the length of the first side.
To find:
The length of each side.
Solution:
Let x be the second side.
Then, according to the question,
First side = x-7
Third side = 2(x-7)-4
Perimeter of a triangle is the sum of all of its sides.
[tex](x-7)+x+(2(x-7)-4)=59[/tex]
[tex]x-7+x+2x-14-4=59[/tex]
[tex]4x-25=59[/tex]
Add 25 on both sides.
[tex]4x=59+25[/tex]
[tex]4x=84[/tex]
Divide both sides by 4.
[tex]x=21[/tex]
Now,
First sides =21 - 7=14 cm
Second side = 21 cm
Third side = 2(14)-4 = 24 cm
Therefore, the three sides of triangle are 14 cm, 21 cm and 24 cm respectively.
Por un kilo y medio de merluza se ha pagado 21,30 €. A cuanto estaba el kilo?
Lo siento mucho, no hablo muy bien español ... ¡Ojalá pudiera! Sería mucho más útil de esa manera
In a survey of 2,200 people who owned a certain type of car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
*blank*% of the people surveyed were satisfied with the car.
Answer:
40%
Step-by-step explanation:
Given parameters:
Number of people surveyed = 2200
Number of people who said they would buy the car again = 880
Unknown:
The percentage of people satisfied with the car = ?
Solution:
The percentage of people satisfied with the car purchase can be determined using the expression below:
Percentage of people satisfied = [tex]\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100[/tex]
Percentage of people satisfied = [tex]\frac{880}{2200}[/tex] x 100 = 40%
Helppp will mark brainliestttt
The set of ordered pairs represents a function because every input has only one corresponding output.
3x+2=2x+2+x
How many solutions does the equation have? Explain why and how
Step-by-step explanation:
3x-2x -x = 2-2
x=0
the solutions =2
1) must moves the numbers
2) solve them
Pls let me know in 5 min or I’m dead
Answer:
( 0 , 4 )
Step-by-step explanation:
Your estimate is correct
Answer:
(-1, 6)
Step-by-step explanation:
sub the points into the equation if LHS and RHS are equal to each other, it is correct
Mr.marquez had 123 eggs in a refrigerator in his restaurant he put 32 more cartons of eggs in the refrigerator each carton contained 18 egg which if these is the best estimate of the number of eggs mr Marquez now has in his refrigerator
Which of the following equations has exactly one solution? A. 4 x − 4 + 2 x = 6 x − 4 B. 4 x − 8 = 4 ( x − 4 ) C. 3 x + 5 = 2 x − 6 D. 2 ( 4 x + 5 ) = 8 x + 10
Answer:
C. 3x + 5 = 2x -6
Step-by-step explanation:
Anthony read 46 pages of a book in 23 minutes.
To find the unit rate, use
.
Anthony read
pages per minute.
Answer: Anthony read 2 pages per minute.
Step-by-step explanation:
Answer: 2 pages/ 1 minute or (2 pages per minute)
Step-by-step explanation: To find the unit rate for how many pages of a book Anthony finds in 23 minutes, you’ll have to divide 46 by 23, which gives you a final result of 2 pages/ 1 minute or (2 pages per minute).
angle of elevation and depression
Answer:
Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.
Step-by-step explanation:
Brendon sells tires at the local auto parts store. He told a customer that the tire width for a new tire was 21.5 centimeters. Which of the following describes the tire width for the new tire? please help thank you!!!
A)21.5 feet
B)215 inches
C) 21.5 meters
D)215 millimeters
Answer:
Choice D
Step-by-step explanation:
When you convert a unit to a smaller unit it will always get bigger so in this case you will move the decimal point to the right so 21.5 will become 215.
Answer:
D) 215 millimeters
Step-by-step explanation:
Which statement is true about 1?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
Please dont be greedy and answer the question saying something like "i have no idea" Thanks
Answer:
C. It is a whole number that is neither prime nor composite.
Step-by-step explanation:
A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.
However, a composite number must have more than two factors, which 1 doesn't have either.
Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.
Have a nice day!
Answer:
C!
Step-by-step explanation:
hope it helped
16) Find the surface area of a square pyramid: square base is 3 centimeters by 3 centimeters and the slant
height is 4.6 centimeters.
Answer:
73.2 cm
Step-by-step explanation:
area = 2 bases + 4 sides
area = 2× 3×3 + 4× 3×4.6
area = 2×9 + 4×13.8
area = 18 + 55.2
area = 73.2 cm
ANSWER ASAP PLEASE & SHOW UR WORK!!!
Find the real or imaginary solutions. x^4 + 3x^2 - 18 = 0
Answer:
[tex]x_1=\mathbf{i}\sqrt{6},\ x_2=-\mathbf{i}\sqrt{6},\ x_3=\sqrt{3},\ x_4=-\sqrt{3}[/tex]
Step-by-step explanation:
Biquadratic Equations
Solve:
[tex]x^4 + 3x^2 - 18 = 0[/tex]
The biquadratic equations are equations of degree 4 without the terms of degree 1 and 3.
Solving such equations requires to express the equation as a second-degree equation with [tex]x^2[/tex] as the variable.
Rewriting the equation:
[tex](x^2)^2 + 3(x^2) - 18 = 0[/tex]
The quadratic equation can be factored as:
[tex](x^2+6)(x^2-3)=0[/tex]
It leads to two equations:
[tex]x^2+6=0[/tex]
[tex]x^2-3=0[/tex]
The first equation has imaginary roots. Solving for x:
[tex]x^2=-6[/tex]
[tex]x=\pm\sqrt{-6}[/tex]
[tex]x_1=\mathbf{i}\sqrt{6}[/tex]
[tex]x_2=-\mathbf{i}\sqrt{6}[/tex]
Where
[tex]\mathbf{i}=\sqrt{-1}[/tex]
The second equation has two real roots:
[tex]x^2-3=0[/tex]
[tex]x^2=3[/tex]
[tex]x=\pm\sqrt{3}[/tex]
[tex]x_3=\sqrt{3}[/tex]
[tex]x_4=-\sqrt{3}[/tex]
The roots are:
[tex]\mathbf{x_1=\mathbf{i}\sqrt{6},\ x_2=-\mathbf{i}\sqrt{6},\ x_3=\sqrt{3},\ x_4=-\sqrt{3}}[/tex]
Allison has a $35 budget for the county fair. She spends $15 at a craft booth and she wants to buy some kettle corn for her friends that cost $4 for each bag.
Let x = number of friend's
Answer: she can buy it for 5 friends
Step-by-step explanation:
$35(budget)- $15(craft booth) =$25
then $25 divided by $4 equals 5
So 5 people she can but for.
If a person walks 1/4 of a mile in 1/8 of an hour. Determine how many miles they are running per hour.
Answer:
1&1/8 m/h
Step-by-step explanation:
2/8 of a mile = 1/8 of an hour
add 7/1 to both sides thats 1 and 1/8 of a mile in 1 hour
What is the slope of this line?
y+2=−2(x−3)
Answer:
-2
Step-by-step explanation:
The final equation is y= -2x+4, so the slope is -2
Answer:
The slope is -2
Step-by-step explanation:
This equation is in point slope form
(y-y1) = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y+2=−2(x−3)
y- -2=−2(x−3)
The slope is -2 and a point on the line is ( -3,-2)
The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function. What is a rule that could represent this function?
A. y = x2 + 1
B. y = x2 − 1
C. y = x2
D. y = x + 1
Answer:
The answer is A
Step-by-step explanation:
1 to the second power is 1 + 1 = 2
2 to the second power is 4 + 1 = 5
3 to the second power is 9 + 1 = 10
4 to the second power is 16 + 1 = 17
5 to the second power is 25 + 1 = 26
y = x² + 1 is a rule that could represent the given function.
Given that,
The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function, what is a rule that could represent this function is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
While observing the pattern of pair it is found that every ordinate is 1 more the square of its abscissa, so the general equation for the function is given as,
y = x² + 1
Thus, y = x² + 1 is a rule that could represent the given function.
Learn more about function here:
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