Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2 +41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).
(15x^2 +20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
Answer:
253+41x
Step-by-step explanation:
first evaluate the power of 15
then add the number 225+28
then the answer will be 253+41x
The temperature in the
morning was 45°. Later in
the afternoon, the
temperature was measured
to be 62°. What was the
percent change in
temperature? (Round to
the nearest percent.)
Answer:
8 % i think
Step-by-step explanation:
45 d ..... 62 d
0.45
62 - 45 = 17
17 x 0.45= 7.65
Solve for the roots in simplest form using the quadratic formula:
x2 – 14x = -33
Answer:
i think its x = 11 , 3
Step-by-step explanation:
cindy claims that 4^x/12^x=1/3
What is the solution for xsquared= 64
A. Positive or r 4
B. 4
C. Positive or negative 8
D. 8
Answer:
64 rooted is D. 8
First to completly answer will be marked brainliest if you give a random answer just to get points you will be reported
Answer:
Pi: Irrational
2/9: Rational
225: Rational
0.167: Irrational <--- fourth one
Step-by-step explanation:
Not sure about the 4th one, but the others are good :)
i need to find the measure of angle L
Answer:
Angel L = 52°
Step-by-step explanation:
In ∆ JKL,
J = 8x + 6°
K = 2x + 2°
L = 4x+ 4°
L =?
Let's solve this question with the help of Angle Sum Property of a Triangle (ASPT).
We know that all angles in a triangle add up to 180°.
180 = ∆JKL
180 = J + K + L
180 = (8x + 6) + (2x + 2) + (4x + 4)
180 = 8x + 6 + 2x + 2 + 4x + 4
180 = 8x + 2x + 4x + 6 + 2 + 4
180 = 14x + 12
14x = 180 - 12
14x = 168
x = 168/14
x = 12°.
Now, L° = 4x + 4
= 4(12) + 4
= 48 + 4
= 52°.
Heber pays $40 each month to stream Disney+ on one device.
To stream Disney+ on multiple devices Heber must pay an additional $15 per device.
If for one month, Heber's bill was $115, on how many additional devices did Heber stream Disney+?
hurry plz
Answer:
5
Step-by-step explanation:
take your price and subtract the monthly price
115-40=75
now you have the price of all your extra devices summed up
75÷15=5 extra devices
PLEASE HELP ASAP. What rule do you think is used at the pizza store to decide the final cost of pies?
Total cost in
Number of
pies
dollars
1
13
2
23
3
33
5
53
Answer:
13 dollars for the first 10 for each additional one ( i think)
Step-by-step explanation:
Answer:
the answer is it is $10 for each one with an additional cost as $3 at the end
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proof.
Given: AB is diameter of circle O.
AC and BD are tangents
Prove: AC parallel to BD.
Answer:
The statements are in regular print, the reasons are bolded
Step-by-step explanation:
1st:AB is the diameter of circle o. Both 1 and 2 are Given
2nd: AC and BD are tangents.
3rd:Ab is perpendicular to AC , AB is perpendicular to BD. Radius is perpendicular to tangent
4th: AC is parallel to BD Lines parallel to same line are congruent.
Regular pentagon MNQR similar to pentagon TUVWX. What scale factor was used dilate regular pentagon MNPQR to Pentagon TUVWX?
Answer:
. Since the pentagon is a regular pentagon, the measure of each interior angle will be the same.
To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon.
(which is the same as the number of sides).
540° ÷ 5 = 108° There are 108° in each interior angle of a regular pentagon.
2. 540°
Sum of Interior Angles of a Polygon
A pentagon has five sides, thus the interior angles add up to 540°, and so on.
Step-by-step explanation:
.........
A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1.50 per slice of pizza. Shandra purchased a membership to this pizza shop. How much would Shandra have to pay the pizza shop if she bought 5 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Answer: $7.50
Step-by-step explanation:
1.50 x 5 = 7.50
She would pay 1.50 for the monthly cost of a slice of pizza
Savings account A has $500 and pays 4% interest yearly. Savings account B has $600
and pays 2.5% interest yearly. The savings account that earned the most interest after
one year is savings account
Answer here
SUBMIT
Answer:
its $520
Step-by-step explanation:
What is the scale factor?
please help!
Answers:
Scale factor = 5/3 (which is approximately equal to 1.67)x = 10========================================
Work Shown:
To find the scale factor, we divide a side of triangle MNO over a corresponding side of triangle FGH. We can only pick the horizontal bottom sides since we don't know what x is yet.
scale factor = ON/HG = 15/9 = (5*3)/(3*3) = 5/3
In decimal form, this is approximately 5/3 = 1.67; however, I find it's better to stick with the fraction since it's exact.
---------------
Let's solve for x
One way to do so is to follow these steps
(FG)/(MN) = (HG)/(ON)
6/x = 9/15
6*15 = x*9 ..... cross multiply
90 = 9x
9x = 90
x = 90/9
x = 10
Or we could solve like this
(FG)/(HG) = (MN)/(ON)
6/9 = x/15
6*15 = 9x
90 = 9x
9x = 90
x = 90/9
x = 10
We end up with the same result because we got to 90 = 9x after cross multiplying, which was found in the previous set of steps as well. There are other ways to solve using a proportion. But they should all lead to x = 10.
Note how,
MN/FG = 10/6 = (5*2)/(3*2) = 5/3
which was the scale factor we found earlier
5/3 is going to be your answer.
Write the slope-intercept form equation of a line that goes through the point (4, -4) and is parallel to y = -7x + 5.
Answer:
y=7x-32
Step-by-step explanation:
Since the line is parallel to y=-7x+5, it will have the same slope
use the slope-intercept form to find b, y=7x+b
plug the points into the equation
(-4)=7(4)+b
simplify
-4=28+b
subtract 28 from both sides
b= -32
plug b into the equation
y=7x-32
What value(s) of x will make x2 = 36 true? O A. 8 and -8 O.B. 6 C. 6 and -6 D. 6
Answer:
C and D
Step-by-step explanation:
If you mean x^2 (x squared), then C and D are both right.
arrange the following and ascending and descending order first one is 1 by 12 1 by 23 1 by 5 1 by 7 1 by 50 1 by 9 1/17
if tell the right answer I will give you brainleast
Answer:
Ascending order is given by
1/50<1/23<1/17<1/12<1/9<1/7<1/5
Descending order is given by
1/5>1/7>1/9>1/12>1/17>1/23>1/50
Step-by-step explanation:
We are given that
1/12,1/23,1/5,1/7,1/50,1/9,1/17
We have to arrange the numbers in ascending and descending order.
LCM of 12,23,5,7,50,9,17
[tex]23\times 5\times 12\times 7\times 50\times 17\times 9[/tex]
=73899000
[tex]\frac{1}{12}\times \frac{6158250}{6158250}=\frac{6158250}{73899000}[/tex]
[tex]\frac{1}{23}\times \frac{3213000}{3213000}=\frac{3213000}{73899000}[/tex]
[tex]\frac{1}{5}\times \frac{14779800}{14779800}=\frac{14779800}{73899000}[/tex]
[tex]\frac{1}{7}\times \frac{10557000}{10557000}=\frac{10557000}{73899000}[/tex]
[tex]\frac{1}{50}\times \frac{1477980}{1477980}=\frac{1477980}{73899000}[/tex]
[tex]\frac{1}{9}\times \frac{8211000}{8211000}=\frac{8211000}{73899000}[/tex]
[tex]\frac{1}{17}\times \frac{4347000}{4347000}=\frac{4347000}{73899000}[/tex]
14779800>10557000>8211000>6158250>4347000>3213000>1477980
Therefore,
Ascending order is given by
1/50<1/23<1/17<1/12<1/9<1/7<1/5
Descending order is given by
1/5>1/7>1/9>1/12>1/17>1/23>1/50
what is the slope between point B and point C
Answer: 4/3
Step-by-step explanation:
Slope is ratio of change in y with the change in x. From points C-->B, the change in y is 4. The change in x is 3. Therefore, the slope is 4/3
Determine which of the following terms are not considered to be like terms with the expression -6s2t. Select all situations that apply.
( s2)( t)
10 ∙ s2 ∙ t
4( s ∙ t)
-6( s2 + t)
s2t
s2 ∙ t2
Answer:
[tex]4(s.t)[/tex]
[tex]-6(s^2+t)[/tex]
[tex]s^2.t^2[/tex]
Step-by-step explanation:
Like Terms
To be considered similar or like terms, two or more terms must have the exact same variables with the exact same exponents, regardless of the coefficients. For example, the following are like terms:
[tex]x, 5x, -3x, 2/5x[/tex]
[tex]3ab^2, -1/2ab^2, 7b^2a[/tex]
The following are not like terms:
[tex]x, 3y, -x^3[/tex]
[tex]pq^3, p^3q^3, -p^3q[/tex]
We need to find which of the given terms are not considered to be like terms with the expression [tex]-6s^2t[/tex]. The variable s must be squared and the variable t must have an exponent of 1.
Applying the above definition, the following expressions are not like terms:
[tex]4(s.t)[/tex]
[tex]-6(s^2+t)[/tex]
[tex]s^2.t^2[/tex]
Answer:
s^2 X t^2
4(s x t)
-6(s^2+t)
CAN YOU PLease
GIVE ME A BRIANLIST
Step-by-step explanation:
In this question use
1 cubic foot = 6.23 gallons
1 cubic foot = 0.028 cubic metres
Convert 3738 gallons into cubic metres.
Answer:
16.8 cubic metres
Step-by-step explanation:
Given: 1 cubic foot = 6.23 gallons
1 cubic foot = 0.028 cubic metres
Let the conversion into cubic metres be represented by x.
Thus we can say that;
6.23 gallons = 0.028 cubic metres
and
3738 gallons = x cubic metres
So that,
x = [tex]\frac{3738*0.028}{6.23}[/tex]
= 16.8
x = 16.8 cubic metres
The conversion of 3738 gallons into cubic metres is 16.8 cubic metres.
3 of 5
The ratio of boys to girls in a class is 4:3. There are 35
students in the class. How many more boys than girls are
there?
There are 5 times as many orange popsicles as grape popsicles in Reid's freezer. There are 12 more orange popsicles than grape popsicles. How many grape popsicles are there in Reid's freezer?
Answer:
3 grape popsicles
Step-by-step explanation:
Let us represent
Orange popsicles = x
Grape popsicles = y
There are 5 times as many orange popsicles as grape popsicles in Reid's freezer.
x = 5y ..... Equation 1
There are 12 more orange popsicles than grape popsicles.
x = y + 12..... Equation 2
Hence, we substitute 5y for x in Equation 2
5y = y + 12
5y - y = 12
4y = 12
y = 12/4
y = 3
Note that, Grape popsicles = y
y = 3 grape popsicles.
Therefore, the number of grape popsicles that are there in Reid's freezer is 3 grape popsicles
Answer:
17b popsicles
Step-by-step explanation:
What is the slope of y=-1+3x
Answer:
That is the format for a slope so you already have it but its incorrect
Step-by-step explanation:
Slope format is y=mx+b
Your x shouldnt be next to the 3
This question isnt accurate or your missing information
====================================================
Explanation:
Because we can add two numbers in any order, the equation y = -1+3x is the same as y = 3x+(-1).
Compare this to y = mx+b, which is slope intercept form.
We see that m = 3 is the slope and b = -1 is the y intercept.
Lola's hair today is 24" long. It grows 1.5" per month. She is a pretty tall girl for her age, about 60" right now! Her brother has long hair too. His hair is about 12" long. What does the y stand for?
If I'm correct, you're asking which variable is the dependent variable y from the question
Answer and explanation:
The equation can be modelled:
y= 1.5x
Where y is the current length of the hair
x is the number of months of hair growth
We can see from the equation therefore that y is a dependent variable that depends on x the independent variable, the number of months, to get a value. In other words given that her hair grows at a constant rate of 1.5 inches per month, her hair length is based on number of months x of growth in inches of hair.
An expression is shown.
10/3 ÷ 4
What is the value of the expression?
Please help me solve this
(8+3a)(8−3a)=
Answer:
-9a^2+64
Step-by-step explanation:
Find the surface Area of the rectangular prism. 7mi, 4 mi, and 2 mi
Answer:
I believe the answer is 100miStep-by-step explanation:
=_=
The principal. Ms kennedy and the chairman were at the meeting how many persons were at the meeting
Answer:
It seems to be 2
Step-by-step explanation:
man is singular s Ms Kennedy is one person
Answer:
i think that would be 4
Step-by-step explanation:
because two other random people showed up
What is the base of the expression 11 and 12 square? 3 11 12 21
Answer:
your answer is 11
Step-by-step explanation:
An exponential has the base at the bottom
The table shows a bicycle rider moving at a constant rate of speed.
______________________________
1.) Dependent Variable:A dependent variable is almost always the [tex](y)[/tex] variable. This also means it depends on another variable. The way you can tell it's dependent for this problem is that the per the rule: distance = time. This means that the distance changes based on the time. [tex](y)[/tex] depends on [tex](x)[/tex]So your answer is Distance.
______________________________
y^2-y-42
pls helpppppp i dunno how to do this one??