Answers
Answer:
The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).
Step-by-step explanation:
You can see how this factors by looking at the last term, and the coefficient of the second term. You need to find two numbers that multiply to make seven, and add to make eight.
Because seven is a prime number, this becomes very easy. If this works at all, the numbers must be seven and one.
And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use. Let's do it:
x² + 8x + 7
= x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
= (x + 7)(x + 1)
Related Questions
Determine the smallest integer value of x in the solution 4x-9 ≥ 17
Answers
Answer:
6.5
Step-by-step explanation:
calculator
Answer:
7 is the smallest integer value
plz brainliestt
Step-by-step explanation:
4x>_ 26
x>_6.5
Rectangle ABCD is drawn on a grid with point A at (-3, 4), point B at (-1,4), point Cat (-1,-1) and point D at (-3,-1). If rectangle ABCD is reflected
over the line x = 2, what are the coordinates of the reflected rectangle A'B'C'D?
Options:
• A A75, 4). B'18. 4). C18.-1), D45.-1)
• B. A45.4), B (7,4), C(5.-1), D'(7.-1)
• C. A45, 4), B (7,4), C77, 1), D(5, 1)
• D. A(1,4). B(3,4), C13.-1). D'(1. -1)
Answers
Given:
The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).
It is reflected over the line x=2.
To find:
The vertices of the image A'B'C'D'.
Solution:
If a figure is reflected over the line x=a, then
[tex](x,y)\to (-(x-a)+a,y)[/tex]
[tex](x,y)\to (-x+a+a,y)[/tex]
[tex](x,y)\to (-x+2a,y)[/tex]
The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is
[tex](x,y)\to (-x+2(2),y)[/tex]
[tex](x,y)\to (-x+4,y)[/tex]
Using this rule, we get
[tex]A(-3,4)\to A'(-(-3)+4,4)[/tex]
[tex]A(-3,4)\to A'(3+4,4)[/tex]
[tex]A(-3,4)\to A'(7,4)[/tex]
Similarly,
[tex]B(-1,4)\to B'(5,4)[/tex]
[tex]C(-1,-1)\to C'(5,-1)[/tex]
[tex]D(-3,-1)\to D'(7,-1)[/tex]
The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).
Note: All options are incorrect or not in proper format.
CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:
Answers
9514 1404 393
Answer:
Jermaine and Sadie have similar triangles. Aisha's is not similar.
Step-by-step explanation:
The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.
Jermaine's triangle has side ratios ...
8 : 14 : 20 = 4 : 7 : 10
Sadie's triangle has side ratios ...
2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)
Aisha's triangle has side ratios ...
4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)
Sadie and Jermaine have similar triangles.
Write an Equation using the following arithmetic sequence: 5, _____, ______, 32
Answers
Answer:
The sequence is:
5, 14, 23, 32
Step-by-step explanation:
We know that an Arithmetic sequence with a₁ and the commo difference 'd' has the nth term such as:
aₙ = a₁ + (n-1)d
Given the arithmetic sequence
5, _____, ______, 32
here:
a₁ = 5
n = 4
aₙ
so substituting a₁ = 5, n = 4 and aₙ = 32 in the nth term
aₙ = a₁ + (n-1)d
32 = 5 + (4-1)d
32 = 5 + 3d
3d = 32-5
3d = 27
divide both sides by 3
3d/3 = 27/3
d = 9
Therefore, the common difference: d = 9
Determining the 2nd term:
Using the formula
aₙ = a₁ + (n-1)d
substitute n = 2, a₁ = 5, d = 9
a₂ = 5 + (2-1)9
a₂ = 5 + 1(9)
a₂ = 5 + 9
a₂ = 14
Determining the 3rd term:
Using the formula
aₙ = a₁ + (n-1)d
substitute n = 3, a₁ = 5, d = 9
a₃ = 5 + (3-1)9
a₃ = 5 + 2(9)
a₃ = 5 + 18
a₃ = 23
Thus, the sequence becomes:
5, 14, 23, 32
The Barbers are keeping track of their family energy costs. It costs the Barber $0.16 per week to run their dishwasher. How much will it cost them to run their dishwasher for 52 weeks
Answers
Answer:
$8.32
Step-by-step explanation:
You just multiply 0.16 with 52
Is this relation a function? justify your answer
Check image
A
B
C
D
Answers
Answer: No C
Step-by-step explanation:
The x values of the coordinates cannot repeat.
Using a straight line test, a straight line can be drawn vertically on the x axis point of 4.
Ob is travelling from his home to his doctor's surgery. He walks 500m to the bus stop, he then gets on the bus. When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km. How many km did Bob travel on the bus?
Answers
Answer:
1.998 km
Step-by-step explanation:
From the question, we know that:
When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km.
We convert 2000 mm to km
1 mm =1 × 10^-6 km
2000mm = x
2000mm × 1 × 10 ^-6km
= 0.002km
Subtracting this from the total distance
2.5km - 0.002 km
= 2.498 km
1 metre = 0.001 kilometre
We convert
He walks 500m to the bus stop, he then gets on the bus.
1 metre = 0.001 kilometre
We convert 500 m to km
1 m = 0.001 km
500m = x
x = 500 × 0.001
= 0.5 km
Subtracting this from the current distance, the distance he travelled on the bus is:
2.498km - 0.5km
= 1.998 km
Therefore, he travelled 1.998 km on the bus
The area of a rectanglular television screen is 3456 in^2. The width of the screen is 24 inches longer thean the height what is the quadratic equation that represents the area of the screen? What are the diminsions of the screen?
Answers
Answer:
The quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.
Step-by-step explanation:
Given: The area of a rectangular television screen is [tex]3456\: in^{2}[/tex]. The width of the screen is [tex]24[/tex] inches longer than the height.
To find: The quadratic equation that represents the area of the screen, and what are the dimensions of the screen?
Solution:
Let the height of rectangular television screen be [tex]x[/tex] inches, then width of the rectangular screen be [tex](x+24)[/tex] inches.
Now, we know that area of a rectangle [tex]= \text{length}\times\text{width}[/tex].
As per question,
[tex]x(x+24)=3456[/tex]
[tex]\implies x^{2} +24x=3456[/tex]
[tex]\implies x^2+24x-3456=0[/tex]
So, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Now, to find the dimensions, we need to solve [tex]x^2 +24x-3456=0[/tex].
[tex]x^2 +24x-3456=0[/tex]
[tex]\implies x^2 -48x+72x-3456=0[/tex]
[tex]\implies x(x-48)+72(x-48)=0[/tex]
[tex]\implies (x-48)(x+72)=0[/tex]
[tex]\implies x-48=0[/tex] or [tex]x+72=0[/tex]
[tex]\implies x=48[/tex] or [tex]-72[/tex]
Since, [tex]x[/tex] is the height of the rectangular television screen, and height cannot be negative. So, height of the television is [tex]48[/tex] inches, and width of the television screen is [tex]48+24=72[/tex] inches.
Hence, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.
list all 10 possible SRSs of size n = 2, calculate the proportion of females for each sample
Answers
Answer:
10
Step-by-step explanation:
since i helped can i have brainlst please that would be greatly apericated
we have a total of 10 choices,
while we need SRS of size 2 only,
We know that,
A combination helps us to determine the number of possible arrangements that can be made through a set of data provided where the order of the selection does not matter.
where,
n is the number of choices,
r is the number of selection.
All 10 possible SRSs of size n = 2, are:
1. Abigail & Bobby
2. Abigail & Carlos
3. Abigail & DeAnna
4. Abigail & Emily
5. Bobby & Carlos
6. Bobby & DeAnna
7. Bobby & Emily
8. Carlos & DeAnna
9. Carlos & Emily
10. DeAnna & Emily
To know more visit:
https://brainly.com/question/25351212
I NEED HELP PLEASE!! Does anyone understand this??
Answers
Answer: 44.4
Step-by-step explanation:
We are asked to find angle V, so we are going to use our trig ratios to explain this one. They have given us the side opposite of angle v and the hypotunse. angle v. so we are going to be using sine. . SOHCAHTOA.
First, let use the ratio for sine [tex]\frac{opp}{hypo\\}[/tex] which equal to [tex]\frac{7}{10}[/tex]
then we are to take the arcsine or the sine inverse because we are trying to the angle measure not side length. ([tex]sin^{-1}[/tex](7/10) which gives us 44.4
Determine the number of zeros of the polynomial function f(x)= x^8-x^9
Answers
Step-by-step explanation:
Determine if odd, even, or neither.
The function is neither even nor odd
Answer:
9
Step-by-step explanation:
The highest power of x is 9: x^9
and therefore this polynomial will have 9 zeros.
help plz plz plz will mark brainliest
Answers
Step-by-step explanation:
We have Angle ZWD = Angle DWN.
=> 5v - 7 = 4v + 8, v = 15.
Therefore x = Angle ZWD = 5(15) - 7 = 68.
h(x) = –2 – 5 help pls!!!
Answers
Answer:
h(0)= -5
h(-2)= -7
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
x just represents a value, so simply plug 0 into the equation instead of x.
h(0)= -0 - 5
h(0) = -5
Select the expression that represents the distance between the numbers r and p
Answers
Answer:
Option B
Step-by-step explanation:
Let's understand this problem in a simpler way,
If two points P and R represent the numbers as,
P = 2 and R = - 4
Then distance between these points will be,
P - R = -4 - 2 Or R - P = 2 - (-4)
= -6 Or R - P = 6
= ±6
But the distances are always positive so 6 will be the answer.
That's why we represent the distances between two points as,
|P - R| (Absolute value of the difference)
Option B is the answer.
If angle A =90 degree , b=1 cm and a =2 cm then solve the following right angled triangle ABC
Answers
Answer:
Angle A = 90 degrees, side a = 2.Angle B = 30 degrees, side b = 1.Angle C = 60 degrees, side c = [tex]\sqrt{3}[/tex].Side c:
If angle A is 90 degrees, side a is the hypotenuse.[tex]c^{2} + b^{2} = a^{2}[/tex] <--- this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.[tex]c^{2} + (1)^{2} = (2)^{2}[/tex] [tex]c^{2} + 1 = 4[/tex] [tex]c^{2} = 3[/tex][tex]c = \sqrt{3}[/tex]Finding the angles:
In a 30-60-90 right triangle, the...Shortest leg = xLongest leg = [tex]x\sqrt{3}[/tex] Hypotenuse = 2x In this case, the shortest leg is 1, the longer leg is [tex]\sqrt{3}[/tex] (or [tex]1*\sqrt{3}[/tex]), and the hypotenuse is 2 (or [tex]2*1[/tex]).As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?
Answers
Answer:
no sé eres tú
Step-by-step explanation:
According to records at the guidance office, the mean GPA of all juniors is 3.45 and the mean GPA of all seniors is 3.62. Which of the following statements is true?
A. 3.45 is a statistic and 3.62 is a statistic.
B. 3.45 is a statistic and 3.62 is a parameter.
C. 3.45 is a parameter and 3.62 is a statistic.
D.3.45 is a parameter and 3.62 is a parameter.
Answers
Answer:
d, they are both parameters because they mean allllll the juniors and seniors, not just pulling out a few and taking a sample
Step-by-step explanation:
Answer:
The answer is "D".
Step-by-step explanation:
3.45 is a parameter and 3.62 is a parameter.
Need help asap please help
Answers
Answer:
option 1
Step-by-step explanation:
. What number replaces ☺ to make the sentence true? 1 + 3 + 4 + 6 + 6 + 8 + 9 + 11 = 4 × ☺.
Answers
Answer:
12
Step-by-step explanation:
1+3+4+6+6+8+9+11=48. Knowing this, we can now figure out the other side of the equation. To make both equations true, both sides must equal 48.
To this, simply divide 48 by 4.
48/4=12
Thus, your answer is 12
Answer: 12
Step-by-step explanation:
1+3+4+6+6+8+9+11 is 48 (you can double check)
48=4*X (calling x as the smiley).
Divide 4 by each side.
12=X
Pls help taking finals
What is the value of w in the equation -W + 7 = 2w- 2?
Answers
Answer:
3
Step-by-Step explanation:
I just worked it out! Good luck :)
FIRST ONE TO GIVE ME A CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
y-4=5
add 4 on both sides
you get y = 9
replace y with 9
9 - 4 = 5
final answe is 5=5
What is the answer?? Please
Answers
9514 1404 393
Answer:
not similar
Step-by-step explanation:
"Triangle" DPS cannot exist. Sides DP and DS are not long enough.
__
Side ratios are not the same. In the top triangle, the length ratios are ...
14 : 16 : 19
In the bottom triangle, the length ratios are ...
7 : 8 : 19 (such a triangle cannot exist)
Since the ratios are not the same, the triangles are not similar.
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answers
Answer:
Option C is correct answer.
Step-by-step explanation:
We need to draw the graph of piece wise function
[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]
So, for drawing the graph, we will find values of f(x) for both the given equations.
First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]
The value of x must be less than or equal 1
x f(x)
1 -3
0 -2
-1 -1
-2 0
-3 1
-4 2
The graph will start from closed circle because x ≤ 1
Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]
The value of x must be greater than 1
x f(x)
2 1
3 3
4 5
5 7
The graph will start from open circle because x> 1
Now, plotting these numbers we will get graph of Option C.
Option C is correct answer.
Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7
Answers
Answer:
[tex]\mathrm{C)\:}x=15,\:-7[/tex]
Step-by-step explanation:
For [tex]|a-b|=c[/tex], there are two possible cases:
[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]
Solving for both cases, we get:
[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]
help me pleaseee pleaseee
Answers
Answer:
x = 3
m<PAW = 1
Step-by-step explanation:
☆They are supplementary angles.
☆Supplementary angles equal 180 degrees.
[tex]- 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]
☆Plug in for m<AEZ
[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]
☆m<PAW is corresponding to m<AEZ
☆Corresponding angles are congruent.
☆m<PAW equals 1.
Which expression is the same as (2a + b)3?
A. 893 +63
B. 8a3 + 4a2b + 2ab2 + b3
O C. 8a + 4a²b + 4ab2 + b3
O D. 8a+ 12a²b + 6ab2 + b3
PLSSS HURRY
Answers
Answer:
B 8a3+4a2b+2ab2+b3
Step-by-step explanation:
2PM 6is the
Mrs. Kidd took her two children to a waterpark for summer fun. An adult ticket cost $32 and the total price of admission for Mrs. Kidd's family was $84. How much was a child's ticket?
Answers
2x = 52
x = 26
child's ticket is $26
4. An angle is 50° more than its supplement. Find the angles.
Answers
Answer:
The angles measure [tex]65[/tex]° and [tex]115[/tex]°.
Step-by-step explanation:
Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for
[tex]x+x+50=180[/tex]
Solving for [tex]x[/tex], we get:
[tex]x+x+50=180[/tex]
[tex]2x+50=180[/tex] (Simplify LHS)
[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]2x=130[/tex] (Simplify)
[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=65[/tex]
Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!
use the gcf and the distributive property to find the sum of 26 + 39
Answers
Answer:= 13
Step-by-step explanation:
18. A figure is said to be regular if its sides are equal in length and angles are equal in
measure. What do you mean by a regular quadrilateral?
Answers
Answer:
If its 4 sides need to be equal and 4 angles need to be equal then it is a square.
Step-by-step explanation:
[tex]\huge\sf\fcolorbox{green}{pink}{Answer}[/tex]
Properties of regular quadrilateral :- All sides are equalAll angles are 90° ( equal)Square is only the regular quadrilateral