Answer:
both negative
Step-by-step explanation:
Descartes rule of signs tells us how many positive and negative real roots a polynomial has.
Given
f(x) = x² + 5x + 6 , with signs
+, +, + ← no change of signs, thus no positive zeros
f(- x) = (- x)² + 5(- x) + 6 = x² - 5x + 6 , with signs
+, -, + ← with 2 changes of signs. thus 2 negative zeros
Answer:
B) Both Negative
Step-by-step explanation:
[tex](x^2+5x+6)\\=(x^2+2x+3x+6)\\=x(x+2) + 3(x+2)\\=(x+3)(x+2)\\Hence,\ as\ their\ factors\ are\ (x+3)\ and\ (x+2)\ their\ zeroes\ are\ (-3)\ and\ (-2)\ respectively..\\As\ they\ both\ are\ negative..\ the\ answer\ is\ b)\\\[/tex]
Using the equation y = 3x – 5, what would the output be for an input of 4
Answer:
output(y)=7
Step-by-step explanation:
y=3(4)-5
<=> y= 12-5
<=> y= 7
What is the slope of the line that passes through these two points (0, -2) and (3, -4)?
Answer:
2
Step-by-step explanation:
Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2
The slope of the line will be "[tex]-\frac{2}{3}[/tex]".
The given points are:
[tex](x_1, y_1) = (0, -2)[/tex]
[tex](x_2, y_2) = (3, -4)[/tex]
As we know,
→ The slope of the line:
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the values, we get
= [tex]\frac{-4-(-2)}{3-0}[/tex]
= [tex]\frac{-4+2}{3}[/tex]
= [tex]-\frac{2}{3}[/tex]
Learn more about slope of line here:
https://brainly.com/question/18891994
Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt?
Answer:
13.695
Step-by-step explanation:
78.75/5=15.75/5.75=2.739*5=13.695
I NEED HELL LIKE RIGHT NOW !!!
Which equation represents the graph?
Answer:
ummm im pretty sure its d
Step-by-step explanation:
Answer:
im pretty sure its last option y=2x
Step-by-step explanation:
on the graph it touches all even numbers
PLEASE HELP ME 16 POINTS PLEASE HELP
Answer:
Slope: Rise/run
= -2/4
= -1/2
Answer:
-1/2
Step-by-step explanation:
Like I said in your previous question!!
RISE/RUN.
Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!
I hope this helps!!
Help me out please !!!
Answer:
rate of change = 1.75 over 1 or just 1.75
Step-by-step explanation:
this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.
The coordinate grid shows three points P, Q, and R:
PLEASE HELP!!!!!!!!
A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 6, negative 2. Point Q is plotted on the ordered pair negative 6, negative 6. Point R is plotted on the ordered pair 4, negative 6.
The distance between Q and R is ______ units.
Answer:
the answer is 10 the other dude is right
Step-by-step explanation:
Answer:
10
Step-by-step explanation:i just took the test and got it right :)
Find the length of the diagonal of a square with perimeter 56
Answer:
About 19.8
Step-by-step explanation:
First find the side lengths. In this example, 56/4=14
Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.
Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.
solve.
1/x = 1/5x = x-1/5x
Answer:
5=x=x-1
Step-by-step explanation:
Mutiply each equation by 5x
You will get 5=x=x-1
Find the slope of the line.
Answer:
4
Step-by-step explanation:
One minute after takeoff, a rocket carrying the space shuttle into outer space reaches a speed of 547 m/s. What was the average acceleration of the rocket during that initial minutes
Answer:
8000 meters per second
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON
Answer:
the answer is A because it has all numbers less than 15
Step-by-step explanation:
i need help ASAP ill mark u a brainiest i need an answer thats it
Answer:
I think it's 7.5 correct me if i'm wrong
Step-by-step explanation:
7.5 is half of 15
Use the midsegement theorem
Sarah's math grade average is 93.3333(repeating)%. What is the repeating decimal part of her grade as a fraction?
Answer:
280/3
Step-by-step explanation:
multiply the number by 10x
subtract it by the original number on both sides
it should give u 9x to whatever answer u got multiply by 10 then divide by 90
State whether the triangles could be proven congruent, if possible, by SSS or SAS.
Include a congruency statement for all congruent triangles.
Answer:
1. SSS
2. SAS
3. SAS
4. SSS
5. SAS
6. SAS
Step-by-step explanation:
1) Side FY ≅ Side CW Given
Side FP ≅ Side CM Given
Side YP ≅ Side MW Given
∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency
2) ∠CBD ≅ ∠BCA given that both are alternate interior angles
Side EB ≅ Side EC and Side DB ≅ Side CA Given
ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency
3. ∠SVU ≅ ∠SVT Given
Side SV ≅ Side SV by reflexive property
Side VT ≅ Side VU Given
∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency
4. Side MN ≅ Side QP Given
Side MQ ≅ Side NP Given
Side NQ ≅ Side NQ by reflexive property
∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency
5. Indirect proof
Side GL ≅ Side HL Given
Side GJ ≅ Side HK Given
∠JLG ≅ ∠HLK vertically opposite angles
By sine rule
GJ/sin(∠JLG) = GL/n(∠GJL)
Similarly
HK/sin(∠HLK) = HL/n(∠HKL)
∴ ∠GJL ≅ ∠HKL
∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent
∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency
6. ∠XZY ≅ ∠XZW Supplementary ∠s with ∠XZY = 90°
Side XZ ≅ Side XZ by reflexive property
Side ZW ≅ Side ZY Given
∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.
The congruence theorems that can be used for each of the given pair of triangles are;
1) SSS
2) SAS
3)SAS
4) SSS
5) SAS
6) SAS
1) From the image we see that;
FY ≅ CW
FP ≅ CM
YP ≅ MW
This means that 3 corresponding sides of the 2 triangles are congruent and as such it means ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.
2) From the image we see that;
∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;
∠CBD ≅ ∠BCA
Also, we see that;
EB ≅ EC
DB ≅ CA
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.
3) From the image, we see that;
∠SVU ≅ ∠SVT
Using reflexive property, the shared sides give;
SV ≅ SV
VT ≅ VU
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.
4) From the image, we see that;
MN ≅ QP
MQ ≅ NP
Using reflexive property, the shared sides give;
NQ ≅ NQ
This means that 3 corresponding sides of the 2 triangles are congruent and as such it means ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.
5) From the image, we see that;
GL ≅ HL
GJ ≅ HK
∠JLG and ∠HLK are vertically opposite angles and as such;
∠JLG ≅ ∠HLK
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.
6) We observe from the given triangles that;
∠XZY ≅ ∠XZW (They are both right angles = 90°)
Using reflexive property, the shared side is congruent to itself and so;
XZ ≅ XZ
Also;
ZW ≅ ZY
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔXYZ ≅ ΔXWZ using Side-Angle-Side (SAS) congruency theorem.
Read more at; https://brainly.com/question/14399801
can someone explain how to calculate a unit rate
Answer:
It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.
Select all equations that can result from adding these two equations or subtracting one from the other.
x+y=12
3x-5y=4 PLZ
HELP QUICK I WILL GIVE BRAINLYIEST
Answer:
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
Step-by-step explanation:
hope this helps, sorry if late
Martin correctly answered 90% of the questions on a math test that contained exactly 40 questions. How many of the questions did he answer incorrectly? explain
A) 4
B) 10
C) 44
D) 90
Answer:
A. 4
Step-by-step explanation:
90% of 40 is = 36
40 - 36 = 4
Since he got 36 right out of 40, he got 4 wrong.
The perimeter of a square with side length s
Answer:
4s
Step-by-step explanation:
The perimeter of a square is 4 times it's side length.
Formula for a perimeter of a square: [tex]4s[/tex]
s - side length
Hope this helps.
Is this a Right Triangle 9 m, 15 m, 17 m
Yes or No?
Answer:
No it would not be because two sides added up would not equal the other side
Step-by-step explanation:
Answer:
No it is not.
Step-by-step explanation:
All right triangles follow the Pythagorean theorem [tex]a^2+b^2=c^2[/tex] where the squares of the two shorter sides of the right angle triangle is equivalent to the square of the longest side.
Squares of the two shorter sides:
[tex]9^{2}+15^{2}=306[/tex]
Square of the longer side:
[tex]17^{2}=289[/tex]
∵ [tex]306\neq 289[/tex], ∴ the triangle is not a right angle triangle.
I hope this helps :)
find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.
Answer:
√3, and -√3
Step-by-step explanation:
to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x
x²-3=0 add 3 to both sides to isolate x
x² = 3 squareroot both sides
√x²= √3
x= ±√3 are the two zeros
HELPPPP! ILL GIVE YOU BRAINLIEST!
Answer:Can you put the question?? Thank You
Step-by-step explanation:
Answer:
what can i help with?
Step-by-step explanation:
Can someone help me please?
Answer:
about 6000π
Step-by-step explanation:
Help me now!!!!! This is due at 12
Answer:
umm what grade are you in???
144/9= 16!!!!!
Step-by-step explanation:
anyways wont act exactly like you and the answer is 16
Evaluate 2x
2 + y if the values of x = 3, and y = 10
Answer:
6,12
Step-by-step explanation:
i have no idea what to do
do u want me to evaluate 1 problem or 2
Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase?
Answer:
$463.50
Step-by-step explanation:
3% of 450 is 13.50
450+13.50=463.50
hope this helps :3
if it did pls mark brainliest
463.5 idrk
but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5
The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?
Answer:
2r ^2 +61+3x
Step-by-step explanation:
1 Collect like terms.
(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r
2
−r
2
)+(58−6+9)+3x
2 Simplify.
2{r}^{2}+61+3x2r
2
+61+3x
What is the length of segment MO?
PHOTO ABOVE
I need to pass!!!!!
Pls try!!!
Answer: 13
Step-by-step explanation: In the picture, you have angle H congruent to angle N, Side MN congruent to side GH, and angle G congruent to angle M. That means that these two triangles are congruent by ASA. Therefore by CPCTC, side GI is congruent to side MO, which means that MO is 13.
Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10
Solve this equation: 12−3(3x−5)=12(2x+1)
Answer:
x = -3/11
Step-by-step explanation:
First, distribute the -3 and 12 within the parenthesis
12 - 9x + 15 = 24x + 12
Now, combine like terms
3 - 9x = 24x + 12
Subtract 24x from both sides of the equation
3 - 33x = 12
Subtract 3 from both sides of the equation
- 33x = 9
Divide both sides by -33
x = -9/33
-9/33 can be simplified to -3/11, so the answer is
x = -3/11
I Hope That This Helps! :)