Answer:
or, x2-(2-15)x +30= 0
or, x2-2x-15x + 30= 0
or,x(x-2)-15(x-2)=0
or, (x-2) (x-15)=0
either, or,
x-2=0 x-15=0
Answer:
x2-(10+3)x+30=0
x2-10x-3x+30=0
x(x-10)-3(x-10)=0
(x-10)(x-3)=0
either, or,
x-10=0 x-3=0
x=10 x=3
therefore,x=10,3
someone please help me with this !
Step-by-step explanation:
The coordinates of Point S(1,2)
The coordinates of point T(7,5)
length of ST=√(7-1)²+(5-2)²
|ST|=√36+9
|ST|=√45=3√5
Answer:
a) S(1,2) T(7,5)
b)3√5 = 6.7 ( approximately)
Step-by-step explanation:
Look at the picture below.
Hope you find this helpful
y=-x Identify the slope and y-intercept
Answer:
57
Step-by-step explanation:
the number with the equation
Answer:
Slope: m = -1 y-intercept: b = 0Step-by-step explanation:
slope-intercept form of equation: y = mx + b
wherae m is the slope and b is the y-intercept
So:
y = -x
y = -1x + 0 ⇒ m = -1 b = 0
Please help fast as you can
Answer:
The elements of the set C will be:
C = {-2, -1, 0, 1, 2, 3, 4, 5}
In other words,
[tex]-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}[/tex]
The solution number line is also attached below.
Step-by-step explanation:
C = {x ∈ Z | such that -2 ≤ x < 6 }
It is clear that the x ∈ Z, meaning the x belongs to the set of integers Z.
It is given that -2 ≤ x < 6.
so x must be greater than or equal to -2 and less than 6.
Therefore, the elements of the set C will be:
C = {-2, -1, 0, 1, 2, 3, 4, 5}
In other words,
[tex]-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}[/tex]
The solution number line is also attached below.
Please help! It's an image.
The functionf(x)is shown in the graph.
What is the equation forf(x)?
Enter your answer in the box.
f(x)=
Answer:
y = 0.714 x -5
Step-by-step explanation:
at x =0, y = -5, means the constant is -5
at x= -7 y= -8,
-8= -7a -5
a=0.714
y = 0.714 x -5
In order for the parallelogram to be a rectangle x=
Answer:
x = 2
Step-by-step explanation:
Set the two equations 13x+34 and 10x+10 together to add up to 90 on the right which should look like this 13x + 34 + 10x + 10 = 90. Combine the two x-values to get 23x and the two other numbers to get 44. Your equation should now be 23x + 44 = 90. Subtract 44 on both sides to get this equation 23x = 46. Divide 23 on both sides to get your x value which is 2.
Answer:
X is equal to 2
Step-by-step explanation:
90 = 13x + 34 + 10x + 10
Combine Like Terms:
90 = 23x + 44
Subtraction Property of Equality:
90 - 44 = 23x + 44 - 44 ---> 46 = 23x
Division Property of Equality:
46 ÷ 23 = 23x ÷ 23 ---> 2 = x
Check Your Work:90 = 13x + 34 + 10x + 10
Fill In Variables:
90 = 13(2) + 34 + 10(2) + 10
90= 26 + 34 + 20 + 10
90 = 60 + 30
90 = 90
Josh runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer:
6 / 55 = x / 44
44*6/55= x
x = 4.8 miles
Step-by-step explanation:
Answer the Point-slope equation with line for given point and have the slope given
(4,-3),m=-1
Answer:
y + 3 = - (x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 1 and (a, b) = (4, - 3) , then
y - (- 3) = - 1 (x - 4) , that is
y + 3 = - (x - 4)
Write an equation of the line passing through the point (2, 10) that is perpendicular to the line 2x+y=17.
Answer:
y = 0.5x + 9
Step-by-step explanation:
What we know:
An equation with the point (2,10) passing through it is perpendicular to the equation 2x+y=17.
The root of 2x+y=17 is (8.5, 0).
The two equations intersect at (3.2, 10.6)
Let's check if 3.2 and 10.6 work for 2x+y=17.
2(3.2) + 10.6 = 17
6.4 + 10.6 = 17, which is true.
Let's try y = 0.5x + 9, to see if we get the same output as the earlier equation.
y = 0.5(3.2) + 9
y = 1.6 + 9
y = 10.6, so 3.2 as x does work.
As a result, the perpendicular equation is y = 0.5x + 9.
what is the value of f(5) in f(x)=-2(x+1)
Answer:
-12
Step-by-step explanation:
please help me on this
9514 1404 393
Answer:
y = 25, 17, 13, 5 . . . . (top-down order)
Step-by-step explanation:
Put the values of x in the expression for y and do the arithmetic.
y = 29 - 4×1 = 25
y = 29 - 4×3 = 17
y = 29 - 4×4 = 13
y = 29 - 4×6 = 5
The physical education teacher assigns each student a number from 1 to 100 and uses a
computer to randomly generate a list of 30 numbers to select the students for the
sample. What type of sampling is being used?
Answer:
Simple random sampling
Step-by-step explanation:
The type of sampling used here is simple random sampling(SRS) because SRS is defined as the sampling technique where a group of subjects known as sample are selected for study from a larger group known as population. Thereafter, each individual will be entirely chosen by chance and then each member of the population will have an equal opportunity of being included in the sample.
Thus question given corresponds to this definition.
If Rachel can reach 91 inches high, AC = 2x, and BC= 5x+7, how tall is the object she's
reaching for (AC)?
a) 24 inches
b) 13 inches
c) 67 inches
d) 91 inches
Answer:
d 91
Step-by-step explanation:
she is reaching it perfectly at this height in the problem, its super easy
Isolate k
C= 8+g∙k
How do you Isolate K by itself
5x + 10y > 40
Need help with this it says to graph but I know how to graph I just need help on simplifying the equation.
Answer:
x > -2y + 8
Step-by-step explanation:
In a new necklace, the ratio of star-shaped beads to moon-shaped beads is 5 to 2. If the necklace has 20 star shaped beads, how many total beads are on the necklace? Explain.
Answer:
28
Step-by-step explanation:
In the ratio:
star-shaped beads = 5
moon-shaped beads = 2
total number of beads = 5 + 2 = 7
ratio of star-shaped beads to total number of beads = 5:7
star-shaped beads = 20
Let x = total number of beads.
20/x = 5/7
Cross multiply.
5x = 20 * 7
Divide both sides by 5.
x = 4 * 7
x = 28
Answer: 28
the pta wants to cover the wet areas of the trail with wood chips. they find that one bag of wood chips covers 3 1/2-yard section of the trail. if there is a wet section of the trail that is approximately 50 1/4 yards long, how many bags of wood chips are needed to cover the wet section of the trail?
PLEASE THIS IS DUE IN 1 HOUR
The graph below displays the relative frequency distribution for X, the total number of dogs and cats owned per household, for the households in a large suburban area. For instance, 14 percent of the households own 2 of these pets.
Number of dog/ Relative Frequency
0- 0.36
1- 0.24
2- 0.14
3-0.09
4- 0.07
5- 0.04
6-0.04
7- 0.02
(a) According to a local law, each household in this area is prohibited from owning more than 2 of these pets. If a household in this area is selected at
random, what is the probability that the selected household will be in violation of this law? Show your work.
(b) If 12 households in this area are selected at random, what is the probability that exactly 3 of them will be in violation of this law? Show your
work.
(c) The mean and standard deviation of X are 1.65 and 1.851, respectively. Suppose 100 households in this area are to be selected at random and X , the
mean number of dogs and cats per household, is to be computed. Describe the sampling distribution of X , including its shape, center, and spread.
Answer:
maybe 7 divided by 2 or o.o2 divided by 7
Step-by-step explanation:
What is the simplified form of the expressions?
a. −6a2b−1
b. 5/y−3
An animal park has lions tigers and zebras.20% of the animals are lions and half the animals are zebras.If there are 120 animals at the park , how many tigers are there?
Answer:
40
Step-by-step explanation:
20% of 120 which is 24 are lions
half of the animals which is 120 ÷ 2 is 60 for the zebra
therefore, 60+24 is 84
120 - 84 is 36
Regina's father has 3 1/2 cups of pudding to divide equally among Regina and her 3 friends. How many cups of pudding does each person receive?
Answer:
The answer is .875 cups of pudding for each person
Step-by-step explanation:
To solve this problem you will have to divide 3 1/2 among 4 people.
3 1/2 divided by 4 is equal to .875
The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centimeter, would the average human fingernail grown in one year?
Answer:
4.164 cm
Step-by-step explanation:
Given that:
Growth of an average human fingernail = 3.47 mm per month
One mm (millimeter) = 0.1 cm (centimeter)
To find:
Growth of an average human fingernail in one year = ?
Solution:
Here, we are given the growth for one month.
There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.
Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times
Growth in one year = 12 \times 3.47 mm = 41.64 mm
In millimeters, the growth of an average human fingernail = 41.64 mm
Let us convert it into centimeters by multiplying it with 0.1.
Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1 = 4.164 cm
Laila is setting up a conical tent in the backyard. The height of the tallest part of the tent is 7 feet. The inside of the tent has a volume of 56 cubic feet. How many square feet are covered by the base of the tent?
Answer: 24
Step-by-step explanation:
I got it right on edge
Answer:
Answer is 24
Step-by-step explanation:
ywwww :)
#DJPP
In ΔNOP, \overline{NP} NP is extended through point P to point Q, \text{m}\angle PNO = (x+14)^{\circ}m∠PNO=(x+14) ∘ , \text{m}\angle OPQ = (5x-2)^{\circ}m∠OPQ=(5x−2) ∘ , and \text{m}\angle NOP = (x-1)^{\circ}m∠NOP=(x−1) ∘ . Find \text{m}\angle OPQ.M∠OPQ.
Answer:
<OPQ = 23 degrees
Step-by-step explanation:
Given
Interior angles m∠PNO=(x+14) and m∠NOP=(x−1)
Exterior angle = m<OPQ = (5x-2)
The sum of interior angles is equal to the exterior angle, that is;
m∠PNO+m∠NOP = m<OPQ
x+14 + x-1 = 5x-2
2x + 13 = 5x-2
Collect like terms;
2x-5x = -2-13
-3x = -15
x = 15/3
x = 5
Get <OPQ
<OPQ = 5x - 2
<OPQ = 5(5)- 2
<OPQ = 25-2
<OPQ = 23 degrees
I need help with this .please help me
Answer:
Step-by-step explanation:
Upper left
On the number line below, P represents a number. What is the value of the opposite of that number?
Tim has 80 coins in his piggy bank. Of these coins, 28 are nickels and the rest are quarters. What percent of the coins in the bank are quarters?
Answer:
65%
Step-by-step explanation:
a) 34y=15=
b) -58y=20=
c) -x=23=
d) -51=-y=
a) 34y=15
=> y= 34-15
=> y = 19
b) -58y=20
=> y= -58-20
=> y = -78
c) -x=23
=> -1x=23
=> x= 23+1
=> x= 24
d) -51= -y
=> -51= -1y
=> y= -51+1
=> y= -50
Hope it helps!
What is the product of (2x – 1)
(3x + 3)?
Answer:
6x^2 + 3x - 3
Step-by-step explanation:
Using the FOIL method, we would multiply 2x by 3x, then multiply 2x by 3, then multiply -1 by 3x, then multiply -1 by 3. This would bring the answer to 6x^2 + 6x -3x - 3. Combine the like terms 6x and -3x and you get 6x^2 + 3x - 3
please help its the last one i need ! Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.
Answer:
See explanation
Step-by-step explanation:
The first option (4t - 8/5)... equals 16/3 t -23/5 (the fourth option in the first row)
The second option 7t - 22 (still in the first row) equals 3(3t-4)...(the third option in the second row)
The third option (still in the first row) 5(2t+1)... equals 3t + 33 (the final option in the second row)
The two options in the second row to the left equal each other
-11/4 t + 36 = (-9/2t + 3)+(7/4t + 33)
simplify:
4 x - -5х + 3x- x+2х - 7х
Answer:
6x
Step-by-step explanation:
4 x - -5х + 3x- x+2х - 7х
Combine like terms so, so since all are the same you just do the operation they want u to do..
4x + 5x= 9x
9x + 3x = 12x
12x - x = 11x
11x + 2x= 13x
13x - 7x = 6x
Hint: 2 negatives make a postitive
Hint: in there is just an "x" there is always an invisible one in it... 1x
Hope this helped!