Answer:c
Step-by-step explanation:
7x - 5 is the factor of 21x²+13x-2.Option B is correct.
What is the equation?An equation is a statement indicating the equality of two expressions that contain variables and/or numbers. In essence, equations are questions, and the pursuit of methodically resolving these questions has been the impetus for the development of mathematics.
It is given that, the expression is 21x²+13x-2.
We have to find the factor of the expression.
Algebraic expression factorization is the process of identifying two or more expressions whose product equals the given expression. Algebraic expression factorization is hence the multiplication procedure in reverse.
[tex]=21x^2+13x-20 \\\\ =\left(21x^2-15x\right)+\left(28x-20\right) \\\\ =3x\left(7x-5\right)+4\left(7x-5\right) \\\\ =\left(7x-5\right)\left(3x+4\right)[/tex]
The factors of the expression are (7x-5) and (3x-4).
Thu option B is correct.
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Kevin uses 2/3 cup of flour to make 2 servings of biscuits. How many cups of flour are there per serving?
[tex] \frac{2}{3} \: cups = 2 \: serving[/tex]
[tex] \frac{ \frac{2}{3} }{2} \: cups = \frac{2}{2} \: serving[/tex]
[tex] \frac{2}{3 \times 2} \: cups = 1 \: serving[/tex]
[tex] \frac{2}{6} \: cups = 1 \: serving[/tex]
[tex] \frac{1}{3} \: cups = 1 \: serving[/tex]
So, there are ⅓ cups of flour in one serving.
Thank you.
what does y=-(7)/(2)x+5 look like on a graph.
Answer:
Here you go buddy.
1.1.22
Solve the equation.
17 + 28 = – 5(4x – 9)
Answer:
No Solution
Step-by-step explanation:
Step 1:
17 + 28 = - 5 ( 4x - 9 )
Step 2:
45 = - 20x + 45
Step 3:
- 20x = 0
Answer:
No Solution
Hope This Helps :)
Change 53/5 from an improper fraction to a mixed number.
Answer:
10.6
Step-by-step explanation:
53/5
Answer:
[tex]10\frac{3}{5}[/tex]
Step-by-step explanation:
We divide 53 by 5 which we get 10 3/5
Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76 cm^2. Write the answer to two significant figures.
Answer:
12cm^2
Step-by-step explanation:
Area of a rectangle = Length × Width
Length = 5.6cm
Width= 2.1cm
Area of the rectangle = Length × Width
= 5.6cm × 2.1cm
= 11.76 centimeter square
Area of the rectangle = 11.76 centimeter square
Answer to two significant figures
There are two figures before the decimal and two figures after the decimal
Since, the question asked us to 2 significant figures, then we will focus on the two figures before the decimal point.
11.76
Using .76 round 11 to the nearest whole number
We have,
12 centimeter square
12cm^2
x+4.9=7.28 x= what is the answer
Answer:
2.38
Step-by-step explanation:
subtract 4.9 on both sides
x = 2.38
Step-by-step explanation:x + 4.9 = 7.28
x = 7.28 - 4.9
x = 2.38
Determine whether the set of all linear combinations of the following set of vector in R^3 is a line or a plane or all of R^3.a. {(-2,5,-3), (6, -15,9),(-10, 25, -15)} b. {(1,2,0), (1,1,1),(4,5,3)} c. {(0,0,3), (0,1,2), (1,1,0)}
Answer:
a. Line
b. Plane
c. All of R^3
Step-by-step explanation:
In order to answer this question, we need to study the linear independence between the vectors :
1 - A set of three linearly independent vectors in R^3 generates R^3.
2 - A set of two linearly independent vectors in R^3 generates a plane.
3 - A set of one vector in R^3 generates a line.
The next step to answer this question is to analyze the independence between the vectors of each set. We can do this by putting the vectors into the row of a R^(3x3) matrix. Then, by working out with the matrix we will find how many linearly independent vectors the set has :
a. Let's put the vectors into the rows of a matrix :
[tex]\left[\begin{array}{ccc}-2&5&-3\\6&-15&9\\-10&25&-15\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}-2&5&-3\\0&0&0\\0&0&0\end{array}\right][/tex]
We find that the second vector is a linear combination from the first and the third one (in fact, the second vector is the first vector multiply by -3).
We also find that the third vector is a linear combination from the first and the second one (in fact, the third vector is the first vector multiply by 5).
At the end, we only have one vector in R^3 ⇒ The set of all linear combinations of the set a. is a line in R^3.
b. Again, let's put the vectors into the rows of a matrix :
[tex]\left[\begin{array}{ccc}1&2&0\\1&1&1\\4&5&3\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}1&1&1\\0&1&-1\\0&0&0\end{array}\right][/tex]
We find that there are only two linearly independent vectors in the set so the set of all linear combinations of the set b. is a plane (in fact, the third vector is equivalent to the first vector plus three times the second vector).
c. Finally :
[tex]\left[\begin{array}{ccc}0&0&3\\0&1&2\\1&1&0\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}1&1&0\\0&1&2\\0&0&3\end{array}\right][/tex]
The set is linearly independent so the set of all linear combination of the set c. is all of R^3.
Help me please because of the points
Answer:
C
Step-by-step explanation:
Because the dolphin increases his elevation, the amount he increases is added to the original elevation to get the second elevation.
Therefore:
-16 3/4 + 5x = -5 1/4
This option is not in the options but if we rearrange the left side from
- 16 3/4 + 5x
to:
5x - 16 3/4
We get the last option C.
Hope this helped!
Is the square root of 0.49 rational
Answer:
rational
Best of luck!
Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic. Equation: (x+2)^2+(y-2)^2+(z-3)^2 = 0
Answer:
[tex]\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]
Step-by-step explanation:
Given the center of sphere is: (-2, 2, 3)
Passes through the origin i.e. (0, 0, 0)
To find:
The equation of the sphere ?
Solution:
First of all, let us have a look at the equation of a sphere:
[tex](x-a)^2+(y-b)^2+(z-c)^2=r^2[/tex]
Where ([tex]x,y,z[/tex]) are the points on sphere.
[tex](a, b, c)[/tex] is the center of the sphere and
[tex]r[/tex] is the radius of the sphere.
Radius of the sphere is nothing but the distance between any point on the sphere and the center.
We are given both the points, so we can use distance formula to find the radius of the given sphere:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
Here,
[tex]x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3[/tex]
So, Radius is:
[tex]r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}[/tex]
Therefore the equation of the sphere is:
[tex](x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]
The length of a rectangle is twice the width. The area is 72 yd^2. Find the length and the width.
Answer:
The length is 12yd and the width is 6yd.
Step-by-step explanation:
I need help with 25. 26. And 27 plz I don’t know how
Answer:
25. 8ft
26. 3m
27. 7cm
Step-by-step explanation:
Because it says each is an area of a sqare the square root will give you the side length
9,000 is blank as 900
Plz help 7th grade math
Answer:
The answer is -11
Step-by-step explanation:
3+(-14) is basically writing out 3-14 which is -11
Answer:
-11
Step-by-step explanation:
3+(−14)
Subtract 3 from 14 to get −11.
−11
The price-demand equation for gasoline is 0.3d + 4p = 80, where p is the price per gallon in dollars and d is the daily demand measured in millions of gallons. Write the demand d as a function of price What is the demand if the price is $ 8 per gallon?
Answer:
The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]
The demand if the price is $ 8 per gallon is 160 millions of gallons.
Step-by-step explanation:
You know that the price-demand equation for gasoline is 0.3d + 4p = 80
To write demand d as a function of price p, you must solve for or isolate demand d, remembering that:
All the terms that are multiplying on one side, go to the other side of the equality by dividing, and those that are dividing go to the other side of the equality by multiplying. The terms that are adding go to the other side of the equality by subtracting and those that are subtracting go to the other side by adding.So:
0.3d + 4p = 80
0.3d = 80 - 4p
[tex]d=\frac{80 - 4p}{0.3}[/tex]
[tex]d=\frac{80}{0.3} -\frac{4p}{0.3}[/tex]
[tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]
The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]
To determine how much is the quantity demanded if the price is $ 8 per gallon, you simply plug that value into the previously determined expression and perform the corresponding calculations:
[tex]d=\frac{800}{3} -\frac{40*8}{3}[/tex]
[tex]d=\frac{800}{3} -\frac{320}{3}[/tex]
d= 160
The demand if the price is $ 8 per gallon is 160 millions of gallons.
my noob has 36 apples he puts 29 in a bag how much he has now
Answer: He has 7 at the moment, technically, if he still has the bag, he still has all 36
Step-by-step explanation:
Answer:
he has noob 7
Step-by-step explanation:
Which of the following graphs show a proportional relationship?
Choose all answers that apply:
Answer:
Which of the following graphs show a proportional relationship?
Choose all answers that apply:
The answer is A.
Using the proportional relationship concept, the graph of a straight line through the origin is seen in option (A).
So, option (A) is the correct option.
What is proportional relationship?"If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate."
In a proportional relationship, two quantities vary directly with each other.
We can represent relationships in several ways:
1. An equation in the form of y = kx , where k is the constant of proportionality or unit rate.
2. A graph of a straight line that passes through the origin.
3. A set or table of ordered pairs that show equivalent ratios.
4. A verbal description that describes a describe proportional relationship between two quantities.
Explanation for correct option:
According to the given options
The graph of a straight line through the origin is seen in option (A).
So, option (A) is the correct option.
Explanation for other options:
In option(B),
The graph of a straight line does not passes through the origin.
So, option (B) is not correct
In option(C),
Graph is not given
So, it is also not correct
Hence, the graph of a straight line through the origin is seen in option (A).
So, option (A) is the correct option.
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Bill has $6 more than Ted. Together they have $32. Write two equations and then solve for the amount of money that bill has.
Answer: Bill Has 19$
Step-by-step explanation:
line that is perpendicular to 3y=5x-1
Answer:
Step-by-step explanation:
3y = 5x - 1
y = 5/3x - 1/3
perpendicular slope is -3/5
How to eat hotdog thank you
Answer:
1.Toast your hot dog bun if you like.
2.Grab pan with little bit of water
4.Place hotdog and cook until chang color on both sides
5. Place a cooked hot dog inside the bun.
6.Add sauces.
6.Put on chunky condiments next.
7.Top it with cheese if you like.
8.Finish the dog with your favorite spices.
9. Put the assembled hot dog on a plate.
10.Serve your favorite snacks on the side.
Solve for x: 6x + --(4x + 8) > 12
1
4
Ox>
10
7
Ox>2
Oxs 10
<< 19
0x<2
Answer:
x > 10/7
Step-by-step explanation:
Take LCM and do cross Multiplication. You will get,
24x + 4x + 8 > 48
or, 28x > 40
or, x > (40/28)
This gives, x > 10/7
In a shopping mall, 5/8 of the shoppers were female shoppers at first. A short
while later, 56 more female shoppers and 24 more male shoppers entered the
shopping mall. As a result, there were 100 more female shoppers than male
shoppers. How many shoppers were there in the shopping mall altogether
in the end?
Answer:
104
Step-by-step explanation:
5/8x. - - - - - - - >. 3/8x
56+x---------------> 24+x
Then solve for x
Solve the equation.
5x + 8 - 3x = -10
x = -9
X = -1
x = 1
X = 9
Cand
Its the Right Answer on the Test. Hopes This Helps.
Thank You
Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left?
Answer:
5
Step-by-step explanation:
You need to find how many days Stefan can feed Coco with the oats he has left. But first, you need to know how many cups of oats Stefan has left after making granola bars.
Stefan has 4
1
2
cups of oats, and he uses 3
1
4
cups to make granola bars.
Start by writing 4
1
2
with a denominator of 4. Then both fractions will have the same denominator.
4
1
2
=4
2
4
Subtract. Remember to subtract whole numbers from whole numbers and fractions from fractions.
4
2
4
–3
1
4
=1
1
4
Stefan has 1
1
4
cups of oats left.
-3(x+n)=x To solve for x
Answer:
x = -3n/4
Step-by-step explanation:
What is the quotient of 8,595 ÷ 24? 334 R 3 334 R 7 358 R 3 358 R 7
Answer:
358 u literally just waited your time u could have used a calculator
Step-by-step explanation:
Answer:
Quotient = 358
Remainder = 3
What value of q makes the equation true? -8=32-5q
Look at the pattern below.
6, 12, 18, 24, 30, 36
What characteristics of this pattern are true?
All the numbers have 4 as a factor.
All the numbers are composite.
All the numbers are a multiple of 3.
All the numbers are divisible by 2.
Answer:
Step-by-step explanation:
4,3,2
Pls answer fast Y=Mx+b for x And Y=Mx+b for m Shoe steps
Answer:
1. x= y/m - b/m
2. m= y/x - b/x
Step-by-step explanation:
hope this helps.
4.56 natural numbers or a whole numbers integers rational numbers Irrational numbers or real numbers
Answer:
it is rational number
Step-by-step explanation:
Decimals are not natural and whole numbers.
irrational numbers cannot be expressed by fraction but this question can be experssed by decimal so it is rational number not irrational
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