Answer:
x = - 3, x = - 2, x = 0
Step-by-step explanation:
Given
x³ + 5x² + 6x ← factor out x from each term
= x(x² + 5x +6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 2 and + 3 , since
2 × 3 = + 6 and 2 + 3 = + 5 , thus
x² + 5x + 6 = (x + 2)(x + 3) , and
f(x) = x³ + 5x² + 6x = x(x + 2)(x + 3)
To find the zeros equate f(x) to zero, that is
x(x + 2)(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x + 2 = 0 ⇒ x = - 2
x + 3 = 0 ⇒ x = - 3
Zeros from least to greatest are x = - 3, x = - 2, x = 0
I need hep with the range
Answer:
[-7, 6]
Step-by-step explanation:
The range is the y values that the equation/line covers.
The line's lowest point is -7 and the line's highest point is 6. The value is defined at both -7 and 10 since there is a closed circle in both locations- so we use brackets.
Sue made a quilt pattern from 16 congruent pieces of cloth shaped like isosceles right triangles. She cut the pieces so that the legs of each triangular piece are 6 inches
long
Answer:
Option (D)
Step-by-step explanation:
Sue made a quilt pattern comprising 16 congruent isosceles right triangles.
She cuts the pieces of triangle having each leg = 6 inches
By applying Pythagoras theorem in isosceles triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
x² = 6² + 6²
x² = 72
x = √72
x = 8.485
x ≈ 8.5
Option (D) will be the correct option
Answer:
The answer is D. (8.5)
Step-by-step explanation:
What is the perimeter of a quadrilateral with measurements of 19 ft, 10 ft, 17 ft, and 8 ft?
Group of answer choices
Answer:
54
Step-by-step explanation:
If the circumference of a circle and the perimeter of a square are equal, then
(a) Area of circle = Area of the square
(b) Area of circle > Area of the square
(c) Area of circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square
Answer:
nothing definite can be said and square
Answer:
option no b is correct area of circle>area of square.
Step-by-step explanation:
I need help please!!!!
Answer:
a. 10%
b. 80%
c. 20%
Step-by-step explanation:
Hope this helps!
Elizabeth can type 250 words in 5 minutes. What are the units?
Your answer
Answer: 50 words per minute
Step-by-step explanation:
250 words per 5 minutes DIVIDE BOTH NUMBERS BY 5
50 words per 1 minute
is (8, -10) a solution to y = 1/4x -4
Answer:
no
Step-by-step explanation:
-10= 8(1/4x)-4
-10=2-4
-10=-2
Answer:
To solve in complex number solution, the answer would be: y = -15/4 and in=f needed simplified: 1/4 - 4
Step-by-step explanation:
Examine the diagram.
A triangle has angles 2, 4, 3. A line extends past angles 3 and 2 to form exterior angle 1.
Name one of the remote interior angles to the exterior angle in the diagram.
Angle 1
Angle 2
Angle 3
The answer is C!
- Got it right on edge :)
- Have a good day !
please someone help asap i will give brainliest
Answer:
Step-by-step explanation:
c≥ -1.95
[-1.95,∞)
solid circle on -1.95 and go right
can someone please help me
Answer:
a. h(t) = 5t + 10
b. 70
c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
Step-by-step explanation:
a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:
h(t) = 5t + 10
b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:
h(12) = 5(12) + 10
h(12) = 60 + 10
h(12) = 70
c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number
Answer:
29%
Step-by-step explanation:
0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)
Hope this helps!
Answer:
29%
Step-by-step explanation:
0.28571428571 is the original number which makes 29%
Hope this helps! Have a great day :)
There are 4 tablespoons in cup. There are 2 cups in 1 pint. How many tablespoons are there in 1 pint?
Answer:
there are 32 tablespoons in 1 pint .
Step-by-step explanation:
beacause i asked siri .
If you were outlining an essay using the sentences below, which one would you use as your thesis statement? O A. Train travel is more economical than car travel. B. Although there are advantages to both, train travel is superior to car travel O C. On a train you can relax, sleep, and do other activities you couldn't do if you were driving. OD. Riding on a train is safer than driving in a car.
Answer: I think it is D
Yesterday,grace drove 33 / 1/2 miles.She used 1 and 1/4 gallons of gasoline.What is the unit rate for miles per gallon? (Simplify your answer. Type an integer, fraction, or mixed number.)
Answer:
26 4/5
Step-by-step explanation:
The unit rate for miles per gallon is 26 4/5 gallons
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of miles traveled by Grace = 33 1/2 miles
= 33.5 miles
Amount of gasoline used by Grace = 1 1/4 gallons
= 1.25 gallons
Now ,
The unit rate for miles per gallon is calculated as
The unit rate for miles per gallon =
Number of miles traveled by Grace / Amount of gasoline used by Grace
The unit rate for miles per gallon = 33.5 / 1.25
= 26.8 miles per gallon
Therefore , the unit rate for miles per gallon is 26.8 or 26 4/5 miles per gallon
Hence , the unit rate for miles per gallon is 26 4/5 miles per gallon
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ5
Please please help me answer number 14
Answer:
A and E is base angle.
B and D is leg.
F is base.
C is vertex angle.
Thank you and please rate me as brainliest as it will help me to level up
Answer:
answer below
Step-by-step explanation:
a base angle
b leg
c vertex angle
d leg
e base angle
f base
Giving 18 point plz plz help
Answer:
B Step 2
Step-by-step explanation:
5(-3) should be -15, not positive 15
Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test. Which statement describes the relationship Hannah is observing?
Answer:
Step-by-step explanation:
There are not statements. But...
If she studies more her grade is better.
The more she studies, the more her grade goes up.
The less she studies, the more her score goes down.
Just some guesses for you. Match up with your statements.
Hannah is observing he following relation {G} [tex]$\alpha[/tex] {1/T}
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is that Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test.
Let the amount of time she spends studying for her history tests is denoted by the variable {T}.
Let her grade is denoted by the variable {G}. So, we can write -
{G} [tex]$\alpha[/tex] {1/T}.
Therefore, Hannah is observing he following relation -
{G} [tex]$\alpha[/tex] {1/T}.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ5
Jack added 6.5 sales tax to the price, , of a new cell phone. What is another way to find the total cost of the cell phone?
355 divided 14 hiksdjkndndf
Answer:
Rounded to the nearest whole number is 25
Pls I Need Help Fastttt
Answer:
2
Step-by-step explanation:
Solve *
(7 Points)
9a + 28 = 4a +3
A -30
B 20
C 6.2
D -5
Answer:
D -5
Step-by-step explanation:
9+28−28=4+3−28
9=4−25
9−4=4−25−4
5a=−25
5
=
−
2
5
5a=-25
5a=−25
5a/5
=−25/5
a=-5
There are 500 sheets in a pack of paper. 500 sheets of paper weigh 2.5kg.
Work out the weight of 50 sheets of paper.
Answer:
It's a proportion:
500=2.5
50=x
2.5×50:500=0.25kg
50 sheets weigh 0.25 kg
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
the weight of a sheet = 2.5kg/500
the weight of a sheet = 0.005kg
the weight of 50 sheets = 0.005 * 50
the weight of 50 sheets = 0.25kg
ORsince it's a uniform rate
500 sheets = 2.5kg
50 sheets = xkg
then you cross multiply.Having:
500*x = 2.5 * 50
500x = 125
then x = 125/500
x = 0.25
It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.
Answer:
[tex]2x+y\geq 20[/tex]
Step-by-step explanation:
Given that total points required to make the playoffs = 20 points
As there is 2 points for a win,
so points earned for x win = 2x
Similarly, as there is 1 point for a tie.
so points earned for y ties = 1[tex]\times[/tex] y= y
Total points earned for x win and y ties = 2x+y
As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so
[tex]2x+y\geq 20[/tex]
Hence, the required equation is [tex]2x+y\geq 20[/tex].
What is the image of the point (0, -1) after a rotation of 180° counterclockwise
about the origin?
Step-by-step explanation:
(x,y)=(-x,-y)
(0,-1)=(-0,1)
i'll mark you as brainliest
Answer:
y=x-4
Step-by-step explanation:
We can see that x is always 4 times larger than y or y is always 4 times less than x
This means that y=x-4
Answer:
The Answer Is "y = x - 4"
Hope This Helped :)
5. What is the equation of a line that is perpendicular to -x + 2y = 4 and passes through the point (-2,1)?
a.
Write the equation -x + 2y = 4 in slope-intercept form
b. Identify the slope of the line represented in part a.
C.
What is the slope of the line perpendicular to the line in steps a and b?
d. Write the equation of the perpendicular line in slope-intercept form.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex]-x + 2y = 4[/tex]
a) writing the equation in the slope-intercept form
We know that the slope-intercept form of the equation of the line is
[tex]y=mx+b[/tex]
where m is the slope of the line
so writing the equation in the slope-intercept form
[tex]-x + 2y = 4[/tex]
[tex]2y=4+x[/tex]
[tex]y=\frac{1}{2}x+2[/tex]
b) Identify the slope of the line represented in part a
As the equation in slope-intercept form is
[tex]y=\frac{1}{2}x+2[/tex]
Here,
m = slope = 1/2 ∵ [tex]y=mx+b[/tex]
c) What is the slope of the line perpendicular to the line in steps a and b
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
As the slope = 1/2
So the slope of the perpendicular line will be: -2
d. Write the equation of the perpendicular line in slope-intercept form.
Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2,1) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -2 and the point (-2,1)
[tex]\:y-1=-2\left(x-\left(-2\right)\right)[/tex]
[tex]y-1=-2\left(x+2\right)[/tex]
Add 1 to both sides
[tex]y-1+1=-2\left(x+2\right)+1[/tex]
[tex]y=-2x-3[/tex]
Of the 50 students in Mr.Mitchell’s classes, 60% are girls.On Friday, 20% of the girls in the class wore jeans.How many girls wore jeans
Answer:
6 girls
Step-by-step explanation:
60/100 x 50 = 30
30 girls in class
20/100 x 30 = 6
6 girls are wearing jeans
х- 1, 2, 3 ,4
y-20, 18,-7, -2.
James modeled the data with a linear best-fit equation. Which X-value
has the largest residual?
A 1
B. 2
C. 3
D. 4
How could the formula for perimeter be rearranged to find the length of the playground?
Answer:
The third option
Step-by-step explanation:
the formula is basically reversed, you can check it yourself by giving the W and L fake values then execute the first formula then the second formula and you will receive the value of your length as your answer
Help with 10 c). Plssss
Answer: It’s B or E I would go with id say E
Step-by-step explanation: