Write P(x) = x3 + x2 − 17x + 15 as a product of two factors, using x − 3 as one factor.
Answer: (x-3)(x-1)(x+5)
Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.
Answer: (x-1)(x-3)(x+5)
Step-by-step explanation:
Use the rational root theorem
Constant term = 15, Coefficient of leading term = 1
Factors of 15: 1, 3 , 5, 15
Factors of 1: 1
Therefore, (x-1) is a factor
[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]
Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)
Triangle PQR has angles in the ratio of 2:3:5.
Which type of triangle is APOR?
1) acute
2) isosceles
3) obtuse
4) right
What is the answer???
Answer:(4) right angle
Step-by-step explanation:
you need to get 180 right solve it from there
The angle is 90degrees, hence the triangle PQR is right triangle
The sum of an interior angle of a triangle is 180 degrees. If the triangle PQR has angles in the ratio of 2:3:5.
Sum of the ratio = 2 + 3 + 5
Sum of the ratios = 10
For the ratio of m<P:
<P = 2/10 * 180
<P = 36 degrees
For the angle m<Q
m<Q = 3/10 * 180
m<Q = 54 degrees
For the angle R;
m<R = 5/10 * 180
m<R = 90 degrees
Since one of the angles is 90degrees, hence the triangle PQR is right triangle
Learn more on angles here: https://brainly.com/question/14362353
Help need to know if I did this right question in picture
Answer:
Wrong. If the line segment AB= 10, then the measure of AC= 10 as well. It's a right triangle. All the sides are the same.
Step-by-step explanation:
Answer: Not correct. The tic marks on the angles mean that this is an equilateral triangle
All the line segments are equal. If a length is given for one side of the triangle, the others are the same
All the angles are equal. The total of all the angles is 180. to find any one of them divide 180 ÷ 3
Step-by-step explanation: This looks like a test item, so we are not supposed post answers.
So I hope this is enough to help you make the corrections yourself.
write the equation of a parellel to the given line that goes through the given point y=8x+3 (2,4)
Answer:
The equation of a parallel to the given line that goes through the given point (2, 4) is:
[tex]y=8x-12[/tex]
Step-by-step explanation:
Given the equation
[tex]y=8x+3[/tex]
comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is m = 8.
We know that the slopes of parallel lines are equal.
so, the slope of the perpendicular line will be = 8
Therefore, the equation of a parallel to the given line that goes through the given point (2, 4) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-4 = 8 (x-2)[/tex]
[tex]y-4 = 8x-16[/tex]
[tex]y = 8x-16+4[/tex]
[tex]y=8x-12[/tex]
Shane reads 16 pages in 8 minutes.
a. How many pages does Shane read per minute,
b. How many minutes does Shane spend reading each page
Is this relation a function
Answer:
You can tell if a relation is a function if each input value only has ONE output value. Examples below
Step-by-step explanation:
Which fraction represents the ratio of the red portion of the circle to the
complete circle?
Answer:
can you add a picture of the circle?
Step-by-step explanation:
Solve for n.
- 24 -6n= -42
Answer:
n=3
Step-by-step explanation:
Answer:
n=3
Step-by-step explanation:
-24 -6n = -42
+24 (move to other side)
-42 + 24 = -18
-6n = -18
to move the -6 to the other side you divide
-18 divided by -6 is 3
n=3
5. The table below shows the participation in a school's debate club
during the last four years,
Year
1
2
3
4
Students
14
19
25
33
Between which two years did the club see the greatest growth?
By what percent did it grow? Round to the nearest whole number.
Q3-4
lol
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
40/50
How do you do this ? Need some help ASAP!
Answer:
On what
Step-by-step explanation:
please please help i’ll give brainliest tysm :)
Answer:
4,400
Step-by-step explanation:
Hope this helps!
Which is the solution to this system of equations?
x - 2y= 15
2x + 4y = -18
X-1=2 work out the value of 2x^2
Answer: 18
Step-by-step explanation:
X-1=2
X=3
2(3)^2
2(9)
18
Value of an algebraic expression depends on the values of its variables usually. The value of [tex]2x^2[/tex] for given condition is obtained to be 18
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
For the given case, we are given that [tex]x - 1 =2[/tex]
By this, we can get the value of the variable 'x' as:
[tex]x - 1 = 2\\\text{Adding 1 on both the sides, we get}\\x = 3[/tex]
Now, putting 3, in place of x, in expression [tex]2x^2[/tex], we get:
[tex]2x^2 = 2 \times (3^2) = 2 \times 9 = 18\\[/tex]
( sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, thus, [tex]2x^2 = 2 \times x^2[/tex])
Thus, the value of [tex]2x^2[/tex] for given condition is obtained to be 18
Learn more about evaluating expressions here:
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I need 6x-10 ima not too good with these
x=11
the angles are congruent so 6x-10=56
6x=66
x=11
Leo placed a ladder against the back of his store building to paint a sign. The top of the ladder was 9 feet above the ground and the bottom of the ladder was 3 feet from the base of the building. What is the length, to the nearest tenth of a foot, of the ladder?
What is the relationship between two similar quadrilaterals and their areas?
Quadrilaterals with same length and breadth or height have same areas.
Step-by-step explanation:
You can prove this by drawing two quadrilaterals individually and then by calculating there areas.
Robin has a piece of ribbon that is 4.5 meters long. She wants to cut it into pieces that are .05 meters long. How many pieces of ribbon can Robin make?
THE DOTS SHOWN REPRESENT WHAT KIND OF SEQUENCE?
D is for difference
R is for ratio
Arithmetic is Adding
Geometrical is Multiplying
I HAVE 70 POINTS SHOULD I GIVE THEM AWAY
Answer:
yes lol unless u dont wanna
Answer:
If you want, but I'm open :P
Step-by-step explanation:
:D
kim spends 5.00 for a foot massage. if its costs 0.75 for each sessions how many sessions did kim get
Answer:
the answer is 6.7
Step-by-step explanation:
you have to divide 5.00 by 0.75 to get the answer
Answer:
C 7
Step-by-step explanation:
You divide 5.00 by 0.75 to get you answer of how many session
please solve this equation and show work please tysm 3(g−7)=2(10+g)
Answer:
g=41
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(g−7)=2(10+g)
(3)(g)+(3)(−7)=(2)(10)+(2)(g)(Distribute)
3g+−21=20+2g
3g−21=2g+20
Step 2: Subtract 2g from both sides.
3g−21−2g=2g+20−2g
g−21=20
Step 3: Add 21 to both sides.
g−21+21=20+21
41
Step-by-step explanation:
3(g-7)=2(10+g)
3g-21=20+2g
3g-2g=20+21
g=41
Anyone here good at algebra? if so PLEASE HELP MEH ;-;
use the distribute property to rewrite the following expression (6+15). your final answer should be in the form _(_+_).
what's in the blanks?
Answer:
3(2+5)
Step-by-step explanation:
The common number that both 6 and 15 can be divided by is 3
3x2=6 and 3x5=15
What is the common difference for this arithmetic sequence?
45, 40, 35, 30, 25, ...
Answer:
It would not be a positive 5 but a -5 as your answer.
Step-by-step explanation:
45-5=40 and so forth
f^-1(-10) + f(-6)
Please help!!!!
Answer:
-10/f-6f
Step-by-step explanation:
simplify it the equation
Orange
A package of 15 party hats
costs $9.75. At this rate, what is the
cost of each party hat
in dollars and cents?
divide 9.75 by 15 equals sixty ixty five cent's
In an xy-coordinate system, Line l has a slope of –3. If the points (2, 16) and (5, t) are on Line l, what is the value of t?
Answer:
25 i think
Step-by-step explanation:
Solve each of these equations.
3y - 4= 6 - 2y
a.y=5
b.y = -2
c. y = 10
d. y = 2
Help please !!
Answer:
easy the answer is d)y=2
Step-by-step explanation:
why because
3y−4=6−2y
Add 2y to both sides.
3y−4+2y=−2y+6+2y
5y−4=6
Add 4 to both sides.
5y−4+4=6+4
5y=10
Divide both sides by 5.
5y/5 = 10/5
y=2
Can you please help me?!!!
Answer:
2 2/3
Step-by-step explanation:
Answer:
-7 1/3
Step-by-step explanation:
I already learned how to do that
Given f(x)=x^3+kx-4, and x-1 is a factor of f(x), then what is the value of k?
Answer:
3
Step-by-step explanation:
If x-1 is a factor, then x=1 is a solution. So:
0=1³+1k-4
1k=3
k=3 .........
For the given trinomial that has the factor (x -1), k = 1,
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given a trinomial equation:
f(x)=x^3+kx-4
And also given it has a factor (x - 1)
Thus, at x = 1 the value of the f(x) will be 0
So,
f(x) = x^3 + kx - 4
f(1) = 1^3 + k*1 - 4
0 = 1 + k -4
k = 3
therefore, The value of k = 1 for the given Trinomial that has the factor (x -1)
Learn more about Polynomials here:
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