Answers
Answer:
(5x-1)(3x+2)
(if you don't want to do all of this you can use
Step-by-step explanation:
((3•5x2) + 7x) - 2
Factoring 15x2+7x-2
The first term is, 15x2 its coefficient is 15 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 15 • -2 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is 7 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7
-6 + 5 = -1
-5 + 6 = 1
-3 + 10 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 10
15x2 - 3x + 10x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (5x-1)
Add up the last 2 terms, pulling out common factors :
2 • (5x-1)
Step-5 : Add up the four terms of step 4 :
(3x+2) • (5x-1)
Which is the desired factorization
Answer:
(5x-1)(3x+2)
Step-by-step explanation:
hope this helps!!
Related Questions
Translate the sentence into an inequality.
Twice x is less than or equal to - 18.
Answers
Answer:
[tex]2x\leq -18[/tex]
Step-by-step explanation:
[tex]2x \leq -18[/tex]
the first side is
twice x
2 times x
the symbol means less than or equal to
and finally we have the -18
Answer:
2x<_-18
Step-by-step explanation:
Twice means 2x and less than means <_ and -18
32:51
On a coordinate plane, trapezoids A B D C and M N P Q are shown. The length of A B is 4 units and the length of B D is 2 units. The length of M N is 10 units and the length of N P is 6 units.
Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths? Why or why not?
Yes, because AB and CD are each Two-fifths the lengths MN and QP.
Yes, because sides AB and CD are parallel to sides MN and QP.
No, because AB is Two-fifths the length MN but CD is One-third the length QP.
No, because sides AB and CD have different slopes from sides MN and QP.
Answers
9514 1404 393
Answer:
C. No, because AB is Two-fifths the length MN but CD is One-third the length QP.
Step-by-step explanation:
Dilation multiplies each coordinate or length by the scale factor. Here, different corresponding lengths are multiplied by different values, so no dilation is involved.
__
Additional comment
Dilation shouldn't change any slopes, so if slopes of corresponding segments are different, that is another indication dilation is not involved. (No figure is supplied here, so we cannot judge slopes.)
Answer:
c
Step-by-step explanation:
During a scuba dive, Lainey descended to a point 26 feet below the ocean surface. She continued her descent at a rate of 26 feet per minute. Enter an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 78 feet below the ocean surface. Use t to represent the variable for the minutes Lainey can continue to descend.
Answers
Answer:
t ≤ 2
Step-by-step explanation:
Given that:
Initial Position = - 26 feets (below surface)
Descent rate = 26 feets per minute
Maximum depth = 78 feets
Let t = number of minutes
Hence,
Initial position + (descent rate * number of minutes) ≤ - 78
-26 + (- 26t) ≤ - 78
-26t ≤ - 78 + 26
-26t ≤ - 52
t ≤ 52/26
t ≤ 2
Part of the student's solution for finding the quotient 288 ÷ 24 is shown below. 240 ÷ 24 = 10 288 – 240 = 48 48 ÷ 24 = 2 Which step should the student do next? A. 10 + 2 B. 240 ÷ 3 C. 10 + 48 + 2 D. 10 – 2
Answers
Answer:
A. 10 + 2
Step-by-step explanation:
288 ÷ 24 is shown below. 240 ÷ 24 = 10 288 – 240 = 48 48 ÷ 24 = 2
After obtaining the quotient of 288 ÷ 24 = 10,
Multiplying the divisor 24 by 10 = 240 and subtracting 240 from 288 to obtain the remainder = 48, the divisor is again used in 48 and the quotient obtained is added to the intula quotient value of 10 ; (10 + 2) and the process repeated
Need help as soon as possible I will seriously gift brainlist at this point
Answers
Answer:
15
Step-by-step explanation:
you basically have to multiply -3 by x to get y
-3·(-3)=9
-7·(-3)=21
so -5·(-3)=15
Solve for x.
3(x+3) = -18 . A. x= -9
B.x= -7
c. x=-5
D. X=-3
Answers
It is A x= -9 I just did the assignment so yes, this means it is -9 I hope m answer helps you out.
Need help ASAP please
How many solutions are there to the following equation:
a+5 = -5+5
Answers
Answer:
1 solution
a=-5
Step-by-step explanation:
Select the lines that represent functions,
2
-1
-7
-6
-5
-4
-3
-2
- 1
2
3
4
5
6
7
--1
-2
-3
-4
-5
Answers
Answer: The top right, the straight horizontal line that is right next to it, and the bottom right
Step-by-step explanation:
They pass the vertical line test.
Answer:
Horizontal line
Slanted line
Bottom right line
Step-by-step explanation:
A car salesperson sells a car for $21,000. She receives a 5.25% commission on the sale of the car.
How much did she earn on the sale?
Answers
Answer:
She earned 1102.50 from the sale.
Step-by-step explanation:
I'd say break the percentage down
5.25÷100=0.0525
21,000×0.0525=1102.5 or 1102.50
Please if you can show your work and explain
Answers
9514 1404 393
Answer:
15 days
Step-by-step explanation:
The cost for boarding is $18 each day. The cost for play-time is $6.75 each day. So, the charges for both add up to ...
$18 +6.75 = $24.75
each day.
The manners lesson is a flat fee added to the daily boarding charges, so for d days, the total bill is ...
$24.75·d +45.99 = 417.24 . . . . . equation relating days to cost
We solve this 2-step equation by first subtracting the constant on the left.
$24.75·d = $371.25
Then we divide by the coefficient of the variable:
d = $371.25/$24.75
d = 15
Your dog stayed at the kennel 15 days.
Agustín fabrica artículos de cuero y los vende con un incremento del 8% de su costo. Si en su última campaña utilizó un cuero de mayor calidad y aplicó un incremento adicional de 12%, ¿cuál fue el aumento único equivalente del precio?
Answers
Answer:
El aumento del precio de costo único equivalente es un aumento del 20,96% en el precio de costo
Step-by-step explanation:
Los parámetros dados son;
El porcentaje de aumento en el precio de costo que Augustin vende artículos de cuero = 8%
El aumento adicional de Augustin se aplica cuando usó cuero de mayor calidad = 12%
Sea x el precio de costo
Tenemos, el primer precio de venta = 1.08 × x
El precio de venta del cuero de alta calidad = 12% adicional al precio de venta anterior
∴ El precio de venta del cuero de alta calidad = 1,12 × 1,08 × x = 1,2096 × x
Por lo tanto, el precio de venta del cuero de alta calidad = (1.2096 × 100)% de x = 120.96% de x, lo que da;
El aumento del precio de costo único equivalente = (120,96% - 100%) aumento en x = 20,96%
∴ El aumento del precio de costo único equivalente = 20,96% de aumento en el precio de costo.
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
x=3
Step-by-step explanation:
The definition of the side splitter theorem is if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.
What that means in this problem is that
x/18=9/54
Now, we just have to simplify that by cross multiplying
54x= 162
x=3
25 POINTS! URGENT! HELP PLS!! 3 PARTS BUT YOU CAN DO HOW EVER MANY U WANT
What do you know about the number of edges and vertices for each figure?
How do you know?
a)
A prism has 12 faces.
b)
A pyramid has 7 faces.
c)
A Platonic solid has 12 faces.
Answers
32 + 5a = -8(4a - 4)
Answers
Answer:
a=0
Step-by-step explanation:
Answer:
44=-1a
Step-by-step explanation:
32+5a=-8-4+4a
32+12=-5a+4a
44=-1a
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. Which of the following statements about f(x) and g(x) is true? Select all that apply.
1. The slope of f(x) is smaller than the slope of g(x)
2. The lines represented by f(x) and g(x) are parallel.
3. The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).
4. The y-intercept of f(x) is smaller than the y-intercept of g(x).
5. The values of f(x) and g(x) are the same at x = 3
Answers
Answer:
4. 5. 3. are correct im pretty sure
Step-by-step explanation:
Statements 1, 2, and 3 about f(x) and g(x) are "true".
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.
x : 1 3 5 7 9
g(x): 3 7 11 15 19
Here the slope of the function g(x) is 2.
This means statements 1 and 2 are false because slopes are different.
To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.
Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.
The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.
To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.
Therefore, the true statements are 2, 3, and 4.
Learn more about the functions here:
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N - 8 greater than equal to -4
Answers
Answer:
N greater than or equal to -12
Step-by-step explanation:
N-8 greater than or equal to -4
N greater than or equal to -4-8
N greater than or equal to -12
Evaluate the function for f(3).
f(x) = -3x - 8
Answers
Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?
Answers
Answer:
simple
Step-by-step explanation:
-12r+8-2r+2
-14r-10
What is the simplified form of the 3 ratios?
A.15
B.1/30
C.1/15
Answers
Answer:
A. 450 B. 1 C. 2
Step-by-step explanation:
A : B : C
15 : 1/30 : 1/15
MULTIPLYING BY 30 ON NUMERATOR (as 30 is LCM OF 15, 30, 15 :
15 × 30 : 1/30 × 30 : 1/15 × 30
450 : 1 : 2
What is the equation of the line that is parallel to the given line and passes through the point (12, −2)?
y = –Six-fifths x + 10
y = –Six-fifths x + 12
y = –Five-sixths x – 10
y = Five-sixths x – 12
Answers
Answer:
D
Step-by-step explanation:
Answer:
y = Five-sixths x – 12
Step-by-step explanation:
edge 2020 :p
Which of the following is the converse of the Triangle Proportionality
Theorem?
A. If a line divides two sides of a triangle proportionally, then it is
parallel to the third.
B. If a line is perpendicular to one side of a triangle, then it divides
the other two sides proportionally.
C. If a line is parallel to one side of a triangle, then it divides the other
two sides proportionally.
D. If a line divides two sides of a triangle proportionally, then it is
perpendicular to the third.
I’m
Answers
Answer:
The answer is A
Step-by-step explanation:
The correct answer is:
A) If a line divides two sides of a triangle proportionally, then it is
parallel to the third.
What is triangle proportionally?If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.
The converse of the triangle proportionality theorem states "If a line divides two sides of a triangle proportionally, then that line is parallel to the third side."
Hence, the converse will be If a line divides two sides of a triangle proportionally, then it is parallel to the third.
Learn more about triangle proportionality click;
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helpppppppppppppppppp
Answers
Answer:
hmmmmmmmmmm i think its inverse operation
What is the slope of the line that passes through (3, 1) and (−1, 4) ?
−3/4
−1/2
5/2
Answers
Answer:
-3/4
Step-by-step explanation:
4-1/-1-3
is 3/-4
or -3/4
Hope this helps plz hit the crown :D
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 5x^2 – 20
Answers
Answer:
x=-2, 2.
Step-by-step explanation:
5x^2-20=0
factor out the 5
5(x^2-4)=0
5(x+2)(x-2)=0
(x+2)(x-2)=0/5
(x+2)(x-2)=0
x+2=0, x-2=0
x=0-2=-2,
x=0+2=2.
Jane is studying the weather in Alaska. She has recorded the temperature for four days in January, in degrees Fahrenheit, as shown in the table. Jane claims that as the week progressed the temperatures increased from below zero to above zero. Which of the following statements provide support for Jane's claim? Select all that apply.
Answers
Answer: Monday had the lowest temp below zero, on Monday and Tuesday the temp was below zero.
Step-by-step explanation: I did it
Total area of village in sq. km is 8.5. If total area for rice cultivation in sq. km is 3.5 and land for plastic factory in sq. m is 750.. Find the percentage of both the cultivated area and factory area..
Answers
Answer:
41.4% for rice cultivation and 8.82 for plastic factory
Step-by-step explanation:
convert sq.km into sq.m
then divide area of land by total area then multiply by 100.
2. In the product of (4a3 + 5a2 – 11a) and (-15 + 3a – 7a2), the co-efficient of a4 is …………………… .
Answers
Answer:
- 23
Step-by-step explanation:
We could do this the long way and expand the whole product or note that the [tex]a^{4}[/tex] terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is
4a³ × 3a = 12[tex]a^{4}[/tex]
+ 5a² × - 7a² = - 35[tex]a^{4}[/tex]
Summing gives
12[tex]a^{4}[/tex] - 35[tex]a^{4}[/tex] = - 23[tex]a^{4}[/tex]
with coefficient - 23
The only pairs that will give you some multiple of [tex]a^4[/tex] are:
[tex]4a^3\cdot (3a),\quad 5a^2\cdot(-7a^2)[/tex]
their values are respectively
[tex]12a^4,\quad -35a^4[/tex]
and their sum is [tex]-23a^4[/tex]
The equation ý-x+4 is graphed below. Which equation would intersect this line at the point (4, 6)?
2
65432,
Answers
Answer:
Your answer would be A. y=6!
Step-by-step explanation:
Have a nice day! :)
There are 28 students in the class and 1316 blocks. If the blocks are divided equally among the students, how many does each student get? *
Answers
Answer:
girl
Step-by-step explanation:
Uh just do 1316/28 and you get 47. 47 blocks per student
Hurrryyyyyy upppppp I needddddd helpppppp righttttt nowwwwwww ?????
Answers
Answer:
X<-4 and -4>x
Step-by-step explanation: