x^2+6x≤-5 with an explanation pls
Answer:
−5≤x≤−1
Step-by-step explanation:hope that helps :)))
x2+6x=−5
x2+6x−(−5)=−5−(−5)(Subtract -5 from both sides)
x2+6x+5=0
(x+1)(x+5)=0(Factor left side of the equation)
x+1=0 or x+5=0(Set factors equal to 0)
x=−1 or x=−5
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤−5(Doesn't work in original inequality)
−5≤x≤−1(Works in original inequality)
x≥−1(Doesn't work in original inequality)
Answer:
−5≤x≤−1
five people are going to be seated in these chairs, from left to right The number of different ways they can be seated is
A)30
B)60
C)120
D)240
E)360
Answer:
C)120
Step-by-step explanation:
The number of people as well as the number of chairs is 5. Therefore, there are exactly 120 ways in which they can be seated.
What is 1/5 divided by 3/4? Then what is it reduced to lowest terms?
Answer:4/15
Step-by-step explanation:
Take 3/4 and flip it in half, making it 4/3, then multiply that by 1/5.
Answer:
4/15
Step-by-step explanation:
to divide fractions. flip the second fraction. then multiply
3 4
4 3
1 x 4 = 4
5 x 3 15
can't be simplified any further
Which of the following expressions is written in scientific notation? (math)
Answer:
I need the expressions
Sue graphed the formula for converting temperatures from Fahrenheit to Celsius.
If the temperature is 50 degrees Fahrenheit, what is the temperature in Celsius?
Answer:
10° C
Step-by-step explanation:
(50°F − 32) × 5/9 = 10°C
what are the common factors of 24 and 36
a. 1,3,4,9,18
b. 1,2,3,4,6,12
c. 1,2,3,4,6,8,12
d .1,2,4,6,12
Can someone please answer and explain??
Answer:
no
Step-by-step explanation: 12/3 can be written as 4
This number can be written as a rational number, a natural number, and a whole number.
Therefore, 12/3 is not only a rational number.
round off 572 389 correct to three significant figure
572000 or 5.72×10^5
Step-by-step explanation:
depends on what format ur teacher prefers but both show 3 sig figs correctly so either is correct
y=8x-18 find the intercepts of the line
-18 is the y intercept
The slope is in y=mx+b form,
And b is the y intercept. Mx is the slope(m) and x is the variable, in this case 8x
So slope is 8, and y intercept is -18
Monty buys hats in bulk to sell at his store. His cost for each hate is $17. He marks up the hats 45%. What is the retail price per hat?
The required retail cost of the hat before the markup is 11.73.
Given that,
Monty buys hats in bulk to sell at his store. His cost for each hate is $17. He marks up the hats 45%. What is the retail price per hat is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
Let the retail cost be x,
According to the question, the retail price is markup by 45%.
So the cost after mark up = x + 0.45x = 1.45x
And
17 = 1.45x
x = 17 / 1.45
x = 11.73
Thus, the required retail cost of the hat before the markup is 11.73.
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Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
O left 1 unit, up 5 units
Oright 1 unit, up 5 units
left 2 units, up 2 units
Oright 2 units, up 2 units
Answer:
The translation is left 1 unit, up 5 units ⇒ A
Step-by-step explanation:
Let us revise the rules of translation of a function
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - kThe vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h = [tex]\frac{-b}{2a}[/tex] and k = f(h)
You will use the vertex form to find the translation
∵ g(x) = x² + 2x + 6
∴ a = 1 and b = 2
→ use the rule of h to find it
∴ h = [tex]\frac{-2}{2(1)}=\frac{-2}{2}[/tex]
∴ h = -1
→ Use it to find k
∵ g(h) = k
∴ k = g(-1)
→ Substitute x by -1 in g to find k
∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6
∴ k = 5
→ Substitute the values of h and k in the vertex form above
∴ g(x) = 1(x - -1)² + 5
∴ g(x) = (x + 1)² + 5
→ By using the 2nd and 3rd rules of translation above
∴ f(x) is translated 1 unit to the left and 5 units up
∴ The translation is left 1 unit, up 5 units
The translation that maps the graph is mathematically given as
"The translation as left 1 unit, up 5 units"
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?Translation is simply defined as the communication of the meaning of source content into target-content.
Generally, the equation for the vertex form is mathematically given as
g(x) = x² + 2x + 6
Where
a = 1 and b = 2 and h=-1
g(h) = k
k = g(-1)
k = (-1)² + 2(-1) + 6
k= 1 - 2 + 6
k = 5
In conclusion
g(x) = (x + 1)^2 + 5
Giving the translation as left 1 unit, up 5 units
Read more about Arithmetic
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Which ordered pair is a solution for both ?
Answer:
(2, 9).
Step-by-step explanation:
You can plug the values into the equations and they would work.
In the figure shown, lines 1 and 2 are parallel. The figure shows two diagonal parallel lines Italic l 1 and Italic l 2 and a horizontal line Italic l 3 cuts the two diagonal lines at different points. On the intersection point on the left, the angle formed on the top left portion is labeled as 1, the angle formed on the top right portion is labeled as 2, the angle formed on the bottom left portion is labeled as 5, and the angle formed on the bottom right portion is labeled as 6. On the intersection point on the right, the angle formed on the top left portion is labeled as 3, the angle formed on the top right portion is labeled as 4, the angle formed on the bottom left portion is labeled as 7, and the angle formed on the bottom right portion is labeled as 8. The sum of the measures of angles 4 and 5 is 150 ° . What is the measure of angle 1?
A. 30 °
B. 75 °
C. 105 °
D. 115 °
GIVING BRAINIEST
what do I put in the box
Answer:
You actually have it right 9.
Step-by-step explanation:
I got a 100% on the quiz!
Mark me BRAINLIEST!!!
A bowl contains 6 apples, 3 oranges and 5 pears. If five pieces of fruit are drawn without replacement, what is the probability of picking:
a) exactly 4 pears
b) at least 2 apples
c) how many apples would you expect to pick out of the 5 pieces of fruit?
Answer:
Step-by-step explanation:
4choose 2
Which translation will change figure ABCD to figure A'B'C'D'?
Polygon ABCD is drawn in the 4th quadrant of a 6 by 6 grid. Point A is at the ordered pair 4, negative 2, point B is at the ordered pair 6, negative 4, point C is at the ordered pair 2, negative 5, and point D is at the ordered pair 2, negative 3. Polygon A prime B prime C prime and D prime is drawn in the 2nd quadrant. Point A prime is at the ordered pair negative 3, 4, point B prime is at the ordered pair negative 1, 2, point C prime is at the ordered pair negative 5, 1, and point D prime is at the ordered pair negative 5, 3.
7 units left and 6 units up
6 units left and 7 units up
7 units left and 5 units up
5 units left and 7 units up
Answer: 7 units left and 6 Units Up.
Step-by-step explanation:
All you have to do is measure the distance, on the chart which in my answer. Its right BTW I alr did it. ;)
The transformation of polygon ABCD to form A'B'C'D' is 7 units left and 6 units up thus option (A) will be correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given polygon,ABCD
A(4,-2),B(6,-4),C(2,-5),D(2,-3)
The transformed polygon A'B'C'D'
A'(-3,4),B'(-1,2),C'(-5,1),D'(-5,3)
The original polygon ABCD and its transformed A'B'C'D have been drawn below.
f we look then it is clear that the transformed image is not rotated about any axis.
Now consider a point A(4,-2) and A'(-3,4)
4 + x = -3 → x = -7 (7 units left)
-2 + y = 4 → Y = 6 (6 units up)
Hence "The transformation of polygon ABCD to form A'B'C'D' is 7 units left and 6 units up".
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Find two numbers if their ratio is 9:11 and their difference is 6.
The numbers can be 27, 33 or __, __
Plz help I'm so dumb -_-
The amount of money an employee earns is proportional to the number of hours worked. If the employee works 40 hours and earns $1,100, how much does the employee earn per hour?
Answer: $27.5
Step-by-step explanation:
From the question, we are informed that employee works 40 hours and earns $1,100, to calculate the amount that the employee earn per hour will be:
Amount earned = $1100
Number of hours worked = 40 hours
Amount earned per hour = $1100/40 = $27.5
please help
thanks in advance
Answer:
D. d=6.9r
Step-by-step explanation:
Which of the following results in the expression 0.22 x 86? SVE ME PLZ
Answer:
18.92
Step-by-step explanation:
It simple mutiplication put it like this and do the math!
86
X 00.22
--------------- Or do it like 86/0.22
Please answer showing work on paper if you can.
how do you find the LCM??
Look at the multiples of the two numbers and find the lowest one that matches e.g.
7 = 7, 14, 21, 28
4= 4, 8, 12, 16, 20, 24, 28
28 is the LCM of 7 and 4
Answer:
Step-by-step explanation:
one away to find to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number . if the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
What is true about the measure of angle B?
It is twice the measure of angle A.
It is twice the measure of angle C.
It is equal to the measure of angle A.
It is equal to the measure of angle C.
Answer:
A
Step-by-step explanation:
sometimes we can determine a missing angle because we know that the sum must be a certain value... remember...the sum of the degree measure of angles in any triangle equals 180 degrees.below is a pict.of triangle ABC. where angle .A =60 degrees, angle.B=50 degrees and angle.C =70 degrees
Answer:
It is twice the measure of Angle A.
Michael deposits $8000 into an account that pays simple interest at a rate of 6%per year. How much interest will he be paid in the first 6 years?
Please help! I'm very behind on work and just don't have the time to catch up without costing the grade of another class. Thank you so much!
Answer:
5. alternate exterior, p
6. consecutive interior, r
7. consecutive exterior, s
8. alternate interior, q
9. corresponding, s
Step-by-step explanation:
Write an absolute value equation with a vertex of (7,0) that passes through the point (2,-3)
Answer:
Not sure sorry!
Wish that I could help!
Step-by-step explanation:
Answer:
Wait do we actually have to answer it? XD
Step-by-step explanation:
NEED HELP ASAP WILL GIVE 100 points to who anwsers! Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below. Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28. Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression? –6x – 1 –6x + 2 6x + 1 6x – 2
Answer:
6x-2
Step-by-step explanation:
Celia’s simplified expression:
6x - 2.
The last option is correct.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given Phrase:
Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2).
That means,
-4x(1 -3) - (2x +2).
She checked her work by letting x = 5 in both expressions.
That means,
-4(5)(1 -3) - (2(5) +2).
= 40 - 12
= 28.
To find the simplified expression:
-4x(1 -3) - (2x +2),
= 6x - 2.
Therefore, the required expression is 6x - 2.
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PLSSS HELP this is for a rlly big test and i still have 20 questions left
Answer:
B
Step-by-step explanation:
you subtract .5 of an inch from 2.5 and then you multiply it with the width and length. once you multiply it should be 35 cubic feet... I'm positive
Perrin uses 24 ounces of milk in a recipe. How many cups is 24 ounces?
Answer:
3 cups
Step-by-step explanation:
easy math - lots of points
Answer:
a=-5, k=31
Step-by-step explanation:
Determine a and k so the given points are on the graph of the function:
(1,11) (2,-14)
[tex]y=a(x+1)^2+k[/tex]
To find the required values, we substitute the points into the equation:
[tex]11=a(1+1)^2+k[/tex]
[tex]-14=a(2+1)^2+k[/tex]
Operating:
[tex]11=a(2)^2+k[/tex]
[tex]-14=a(3)^2+k[/tex]
Simplifying:
[tex]11=4a+k[/tex]
[tex]-14=9a+k[/tex]
Subtract the second equation from the first equation:
[tex]11+14=4a-9a[/tex]
Simplifying:
[tex]25=-5a[/tex]
Solving:
[tex]a=25/(-5)=-5[/tex]
a=-5
Use this equation to find k:
[tex]11=4a+k[/tex]
[tex]11=4(-5)+k[/tex]
[tex]11=-20+k[/tex]
k=31
a=-5, k=31
Answer:
a = -5
k = 31
Plz Mark brainliest!!!