Question... factor 28+4x
Answers
Answer:
4(7 + x)
Step-by-step explanation:
28 + 4x
4 ⋅ 7 + 4x
4(7 + x)
good luck hope this helps :)
Find the greatest common factor for the terms involved in the polynomial.
In this case, the greatest common factor between 28 and 4 is 4.
So a 4 factors out of this polynomial.
That leaves us with each term divided by 4
inside a set of parentheses.
So we have 4(7 + x).
Now you can check your answer by distributing the 4 through
the parentheses and you will end up with your original polynomial.
Related Questions
Write these fractions as whole nombers
8/4
21/3
56/8
48/8
Answers
Answer:2, 7, 7, 6
Step-by-step explanation:
Answer:
1) 8/4 = 2
2) 21/3 = 7
3) 56/8 = 7
4) 48/8 = 6
Step-by-step explanation:
To convert a fraction into a whole number: Divide the numerator by the denominator.
What's a numerator?:
A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.
What's a denominator?:
A denominator is the bottom number in a fraction. So, 4 in 8/4 is the denominator.
1) 8/4 = 8 divided by 4 = 2.
2) 21/3 = 21 divided by 3 = 7
3)56/ 8 = 56 divided by 8 = 7
4) 48 / 8 = 48 divided by 8 = 6
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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find the slope and the y- intercept of the line. 9x + 3y = -6 . write your answers in simplest form
Answers
Answer:
Step-by-step explanation:
For these questions, I like to get the answer using y=mx+b where m = slope and b= y-intercept
let's re-arrange the equation so that it is in that form.
9x+3y=-6
-9x -9x
3y = -9x - 6
/3 /3 /3
y=-3x-2
-3 is the slope
-2 is the y-intercept.
In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to <2
Answers
The angle 7 is the alternative interior angle to angle 2.
Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.
They are the angles that are on opposite sides of the transversal and inside the two parallel lines.
Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.
We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.
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Show that 5x^2 + 2x - 3 < 0 can be written in the form | x + 1/5 | < 4/5
if possible with the explanation as well
Answers
Step-by-step explanation:
First let solve the inequality
\(5 {x}^{2} + 2x - 3 < 0\)
Factor by grouping
\(5 {x}^{2} + 5x - 3x - 3 < 0\)
\(5x(x + 1) - 3(x + 1)\)
So the factor are
\((5x - 3)(x + 1)\)
So the factor are
\(x = \frac{3}{5} \)
and
\(x = - 1\)
Solutions to a quadratic can be represented by a absolute value equation because remeber quadratics
creates 2 roots and/or double roots.
The inequality
\( |x - b| < c\)
works as
b is the midpoint between 2 roots. And c is the
\( |x + b| = c\)
We know that the midpoint between both roots is-1/5.
so
\( |x - ( - \frac{1}{5} )| < c\)
\( |x + \frac{1}{5} | < c\)
Let use roots 3/5
\( | \frac{3}{5} + \frac{1}{5} | = \frac{4}{5} \)
-1 works as well.
\( | - 1 + \frac{1}{5} | = | - \frac{4}{5} | = \frac{4}{5} \)
So the absolute value equation is
\( |x + \frac{1}{5} | < \frac{4}{5} \)
A rectangular block has a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. Four blocks are stacked to create a tower. What is the volume of the tower? O A. 56 in 3 O B. 140 in 3 O C. 280 in O D. 336 in
Answers
The volume of the tower is 224 in³, which is not listed among the given options.
To find the volume of the rectangular block, we need to multiply its length, width, and height. Therefore, the volume of the single block is:
8 x 3.5 x 2 = 56 cubic inches.
Since we are stacking four blocks to create a tower, we need to multiply the volume of a single block by 4.
Thus, the volume of the tower is:
56 x 4 = 224 cubic inches.
The volume of a rectangular block can be found using the formula,
V = length × width × height.
In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches.
V = 8 × 3.5 × 2 V
= 28 × 2 V
= 56 in³
Now that we know the volume of one block, we can find the volume of the tower created by stacking four blocks. Tower volume = block volume × number of blocks Tower volume = 56 in³ × 4 Tower volume = 224 in³
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For each ordered pair, determine whether it is a solution to 3x + 5y=-17. Is it a solution? X 6 ? No (-8,3) (-4, -1) (6, 7) (7,2)
Answers
Determine whether is a solution for:
\(\begin{gathered} 3x+5y=-17 \\ To\text{ determine if it's a solution, we can isolate y and see if the statement} \\ is\text{ true:} \\ 5y=-17-3x \\ y=-\frac{17}{5}-\frac{3}{5}x \end{gathered}\)For, x=-8, y has to be 3:
\(\begin{gathered} y=-\frac{17}{5}-\frac{3}{5}(-8) \\ y=\frac{7}{5}=1.4 \end{gathered}\)(-8, 3) is not a solution for the equation.
For x=-4, y has to be -1:
\(\begin{gathered} y=-\frac{17}{5}-\frac{3}{5}(-4) \\ y=-1 \end{gathered}\)(-4, -1) is a solution for the equation.
For x=6, y has to be -7:
\(\begin{gathered} y=-\frac{17}{5}-\frac{3}{5}(6) \\ y=-7 \end{gathered}\)(6, -7) is a solution for the equation.
For x=7, y has to be 2
\(\begin{gathered} y=-\frac{17}{5}-\frac{3}{5}(7) \\ y=-\frac{38}{5}=-7.6 \end{gathered}\)(7, 2) is not a solution for the equation.
Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
Answers
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
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I not understand this any help please answer and explain please
Answers
The length the line segment DF is 21 units
What is Similarity of Triangles?
Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.
Since, the question is incomplete I can only assume that the traingles are similar
So, by rule of similarity we can say that ED/BA = DF/AC
by this 15/5 = DF/7
This implies that the length of DF is 21 units
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Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
Answers
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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A farmers Land is separated into sections of size 3 3/4 acres suppose there are 6 such sections how many acres of land does the farmer own?
Answers
Answer: 22 1/2 of acres
Step-by-step explanation:
you multiply 3 and 3/4 by 6
9 is added to the product of 9 and a number.
Answers
Answer:
yes
Step-by-step explanation:
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From the top of a lighthouse 82 m tall, a guard sees two ships at sea.
The angle of depression to the closer ship is 53° and to the further ship is 39°.
How far are the ships apart from each other to the nearest metre?
Answers
The distance between the two ship based on the angle of depression is 42 meters.
The distance of each ship can be calculated thus:
TanX = opposite / Adjacent
The first ship:
Tan53 = distance/ 82
distance= 108.82 meters
The second ship:
Tan39 = distance/ 82
distance= 66.40 meters
The Difference between the ships are :
108.82 - 66.40 = 42.42 metersTherefore, the distance between the two ships is 42 meters.
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Which of the following is correct based on this picture?
A. tan D=31/24
B. sin D=31/24
C. tan K=31/24
D. cos K=31/24
Answers
Answer:
C. tan K=31/24
Step-by-step explanation:
Relations in right triangles:
The sine of an angle is the length of the opposite side to the angle divided by the length of the hypotenuse.
The cosine of an angle is the length of the adjacent side of the angle divided by the length of the hypotenuse.
The tangent of an angle is the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this question:
Sides 24 and 31.
Side opposite to K: 31
Side adjacent to K: 24
Then
tan K=31/24
And the correct answer is given by option D.
g(-9)+3
if g(x)=-1/2x+5
Answers
The numeric value of the expression g(-9) + 3 is g(x) = -1/2x + 5 is given as follows:
12.5.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The function g(x) in this problem is defined as follows:
g(x) = -1/2x + 5.
At x = -9, the numeric value is found replacing the lone instance of x by -9, hence:
g(-9) = -(-9)/2 + 5 = 9/2 + 5 = 4.5 + 5 = 9.5.
Adding 3, the numeric value of the expression is given as follows:
3 + 9.5 = 12.5.
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If f(x) = 4x +4, g(x) = – 2x2 - 4x + 5, and h(x)= - 8x2 + 7, find g(1).
Answers
Answer:
-1
Step-by-step explanation:
g(1) = -2*1^2 - 4*1 + 5
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
4L TO 7.2 L
Answers
9514 1404 393
Answer:
5/9
Step-by-step explanation:
\(\dfrac{4\text{ L}}{7.2\text{ L}}=\dfrac{40}{72}=\dfrac{5\cdot8}{9\cdot8}=\boxed{\dfrac{5}{9}}\)
What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?
564
4⋅144
414
144
Answers
It may be 1^4 ............................
Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Answers
Check the picture below.
find the 46th term 261 256 251
Answers
Answer:
36
Step-by-step explanation:
The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:
a + (n - 1)d
where a is the first term and d is the common difference. We can substitute our values in:
261 + (46 - 1)(-5)
261 + (45)(-5)
261 + (-225)
36
Answer:
36
Step-by-step explanation:
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New Hope School started with only 94 students. Now the school has grown to 750% of the original size. How many students are in school now?
94
x7.5
--------
705 students
Answers
Answer:
Use maths papa
Step-by-step explanation:
HELP PLSS IL GIVE ALOTS OF POINTS I PROMISE PLSSSSSSSSSS
Answers
Answer:
4. Between 11:30 and 12:00, they did nothing. The graph didn't go up or down, it just stayed the same meaning they did nothing.
5. 5 miles an hour
Step-by-step explanation:
What number is 80%
of 70?
Answers
Answer:
56
Step-by-step explanation:
80% of 70 = 56
1. 10% of 70 = 7
2. 7 x 8 = 56
Answer is 56
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
By what percent does the number of wolves change each year?
Answers
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
Percent calculation.
To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.
The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.
To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:
Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
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Will give Brainly answer
Answers
i ^2 stands for -1. You can factor out the negative from the square root because it isn’t good to have one in it. This would help get your answer to “i square root 49”. We know that 49 is a perfect square of seven. This leaves your answer to plus or minus 7i.
Celeste is planting a rectangular flower garden in which the width will be 4 feet less than its length. She has decided to put a birdbath within the garden that will occupy a space 3feet by 4 feet how many feet are now left for planting? Express your answer on factored form
Answers
Answer:
(L-6)(L+2)
Step-by-step explanation:
Let L be the length of the flower garden.
Then the width will be L-4.
The area of the flower garden = L*(L-4) =L²-4L
The area of the birdbath is 3*4 = 12 ft²
The area of the remaining space for planting is
= Area of flower garden - area of birdbath
L² - 4L - 12We can factor the expression as follows:
L² - 4L - 12 L²-(6-2)L-12L²-6x+2x-12taking common frome each two terms
L(L-6)+2(L-6)(L-6)(L+2)Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.
If 7 books cost Rs. 300 more
than 5 books, find the cost of a
book.
Answers
Answer:
150
Step-by-step explanation:
If 7-5=2 books cost 300 and you want to find the cost of 1 book, you would need to divide that 300 by 2.
300÷2=150
Answer:
Step-by-step explanation:
in need of assistance answers are greatly appreciated thank you for your time and effort
Answers
Answer:
x = (h+g)/-f
Step-by-step explanation:
-fx-g = h
Add g to each side
-fx-g+g = h+g
-fx = h+g
Divide each side by -f
-fx/-f = (h+g)/-f
x = (h+g)/-f
\(4√3\)what is equivalent to 4 sqrt 3
Answers
The equivalent expression to 4√3 is √48 or 6.928.
What is the equivalent expression?
An equivalent expression is an expression that has equal value to the original given expression.
From the given expression, we can determine its equivalent expression as follows;
The given expression = 4√3
We can square 4 and multiply it by 3 and enclose all with the square root.
4√3 = √(4² x 3 )
= √ ( 16 x 3 )
= √ ( 48 )
= 6.928
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use the simplified ratio to find the equivalent ratio with a denominator of 140
Answers
Answer:
x
__
140
Step-by-step explanation:
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