I hope it will helps u
Step-by-step explanation:As given
x²-3x-10
Now according to the one of the rule of factorization ,
we have to find such two values whose product becomes equal to the
"product of first and last term " and if we sum those numbers it should be equal to the "middle term of it".
so such numbers are -5x and +2x
if we add or multiply them we get the above
as adding -5x+2x=-3x (middle term)
also multiplying -5x*2x=-10x² (product of 1st and last term)
so now , we can write as,
x²-3x-10
=x²-5x+2x-10
now making groups of 2 terms,
=(x²-5x)+(2x-10)
now common
=x(x-5)+2(x-5)
now common(x-5)
=(x-5)(x+2) This is the required factors.....
Tracy ran a lap around the school track in 74.2 seconds. Malcolm ran a lap in 65.92 seconds. Estimate the difference in the times in which the students completed the lap.
Answer:
8.28 is the difference in times in which the students completed the lap.
Step-by-step explanation:
Subtract 74.20 and 65.92 and that gives you your answer.
12
(
x
−
2
)
+
3
x
=
1
2
(
x
+
6
)
+
2
Answer:
X=32.666
Step-by-step explanation:
12(x-2)+3x=12(x+6)+2
12x - 25 + 3x = 12x + 72 +2
15x-24=12x+74
15x=12x+98
3x=98
x=32.666
Hope this helped!
Answer:
x=32.67
Step-by-step explanation:
12(x-2)+3x=12(x+6)+2
12x-24+3x=12x+72+2
simplify
15x-24=12x+74
15x-12x-24=12x-12x+74
3x-24=74
3x-24+24=74+24
3x=98
x=32.67
Please help im stuck .-_-.
Answer:
y = 4
Step-by-step explanation:
y/16 = 5/20 = 2/8
y/16 = 1/4 = 1/4
Answer: 4
Step-by-step explanation:
My previous explanation got deleted
Use the Rational Zeros Theorem to write a list of all potential rational zeros.
Answer:
Your potential zeros are ± 1/2, ± 3/2, ± 1, and ± 2.
Answer for the points
6 − (9 − 2) + 3 × 6
Answer:
17
Step-by-step explanation:
USING BIDMAS (Brackets Indices Division Multiplication Addition Subtraction)
6 − (9 − 2) + 3 × 6
9-2=7
3x6=18
6-7+18=17
A model baseball bat was designed using a scale factor of 1:3. If the
model bat is 10 inches long, how many inches long is the real bat?
A glass is full. Then 70cm of orange juice is poured in.
The glass is now i full. What is the total volume of the glass?
Answer:
392cm³
Step-by-step explanation:
First, we need to find what fraction of the whole volume was just added. We started with 4/7 and ended up with 3/4, so we can take the difference of the two to find the fractional part added:
[tex]\frac{3}{4}-\frac{4}{7} =\\\\\frac{21}{28}-\frac{16}{28} =\frac{5}{28}[/tex]
So, that 70cm³ represents 5/28 of the whole glass. If 70cm³ is 5/28 of the glass's volume, then 70/5 = 14cm³ must be 1/28 of the volume. From here, we can simply multiply 14 by 28 to find the total volume, all 28/28 of it:
14 · 28 = 392cm²
HELP PLS ILL MARK AS BRAINIEST !!!!
Answer:
Slope is -3/4
Y intercept is 7
y= -3/4x+7
Use the tables to help you compare the two ratios.
2 tables. One table has 2 rows. The first row has entries 3, 6, 9. The second row has entries 10, 20, 30. The second table has 2 rows. The first row has entries 1, 2, 3. The second row has entries 5, 10, 15.
Compare the ratios 1:5 and 3:10.
The ratio 1:5 is less than 3:10
The ratio 1:5 is greater than 3:10
The ratio 1:5 is equal to 3:10
The ratios cannot be compared
Given the data from the question, the correct statement is: the ratio 1:5 is less than 3:10
Data obtained from the questionFirst table:Row 1 = 3, 6, 9Row 2 = 10, 20, 30Second table:Row 1 = 1, 2, 3Row 2 = 5, 10, 15Comparison of ratio 1:5 and 3:10 =?How to determine the comparison of ratio 1:5 and 3:10To otain the comparison of both ratios, we shall determine the value of each ratio. This is illustrated below:
1 : 5 = 1 / 5
1 : 5 = 0.2
3 : 10 = 3 / 10
3 : 10 = 0.3
SUMMARY
1 : 5 = 0.23 : 10 = 0.3Thus, we can conclude that 1:5 is less than 3:10
Learn more about ratios:
https://brainly.com/question/2462048
#SPJ1
1. Sara bought cartons of raspberries that cost $1.50 and cartons of blackberries cost $2. Sara spent $11 buying raspberries and blackberries. She bought a total of 6 cartons. How many cartons of blackberries did she buy?
Sara brought a total of 5 cartons of blackberries. Since it said that Sara brought 6 cartons and you know that the cost of the blackberries are $2, you multiply 6 with 2 but its 12. But if Sara brought 2 cartons of raspberries it will be $3. Now you subtract 6 with 2 since you used 2 cartons on raspberries and now multiply $2 with 4 and get 8. 8+3=11, which is exactly how much she needs. This means that Sara brought 4 cartons of blackberries.
Someone pls help ??:)
Find the value of x
11x-1+20x-3=151
Answer:
x = 5
Step-by-step explanation:
11x - 4 + 20x = 151
31x - 4 = 151
31x - 4 + 4 = 151 +4
31x = 155
31x/31 = 155/31
x=5
(4x2 + 6) + (2x2 + 6x + 3)
How many rectangles of any size are in the diagram?
Answer:
29
Step-by-step explanation:
count the rectangles one by one :)
A rocking horse has a weight limit of 60 pounds. a)What percentage of the weight limit is 33 pounds?
Answer:
55%
Step-by-step explanation:
given g(x)=-3x-5, find g(-4)
Answer:
7
Step-by-step explanation:
Answer:
i got 7
Step-by-step explanation:
find the value of x
A) 3
B) 14
C) 5
D) 2
Answer:
C) 5
Step-by-step explanation:
The measure of angle TSU is 75°. (180° - 105° because it is a flat angle)
The sum of all the angles of a triangle is 180° as well.
You can write an equation to solve for x.
12x + 9x + 75 = 180
Isolate x.
12x + 9x = 180 - 75
12x + 9x = 105
Add the 12 and the 9.
21x = 105
Find what x is.
x = 105 ÷ 21
x = 5
Two similar rectangles have a scale factor of 3:2. The perimeter of the small rectangle is 50 feet. What is the perimeter of the large rectangle measured in feet?
Answer: The perimeter of the large rectangle measured 75 feet.
Step-by-step explanation:
For two similar rectangles,
[tex]\dfrac{\text{Perimeter of image }}{\text{Perimeter of pre-image }}=\dfrac{3}{2}[/tex]
The perimeter of the small rectangle is 50 feet.
Given ratio between two similar rectangles: 3:2
So,
[tex]\dfrac{\text{perimeter of large rectangle}}{\text{perimeter of small rectangle}}=\dfrac{3}{2}\\\\\Rightarrow\ \dfrac{\text{perimeter of large rectangle}}{50}=\dfrac{3}{2}\\\\\Rightarrow\ \text{Perimeter of large rectangle} =\dfrac{3}{2}\times50\\\\\Rightarrow\ \text{Perimeter of large rectangle} =75[/tex]
Hence, the perimeter of the large rectangle measured 75 feet.
The perimeter of a rectangle is the sum of the dimension of the rectangle
The perimeter of the larger rectangle is 75 feetThe ratio of the side length is given as:
[tex]Ratio = 3 : 2[/tex]
Represent the perimeters of both rectangles with
P1 and P2.
So, we have:
[tex]P1 : P2 = 3 : 2[/tex]
The smaller rectangle has a perimeter of 50 feet.
So, we have:
[tex]P1 : 50 = 3 : 2[/tex]
Express as fraction
[tex]\frac{P1 }{ 50 }= \frac 3 2[/tex]
Multiply both sides by 50
[tex]P1= \frac 3 2 \times 50[/tex]
[tex]P1= 75[/tex]
Hence, the perimeter of the larger rectangle is 75 feet
Read more about perimeters at:
https://brainly.com/question/24571594
Par quelle fraction est multipliée l'aire d'un rectangle si l'on augmente sa longueur de son cinquième et sa largeur de son tiers ?
Répondre:
8/15
Explication étape par étape:
Prendre:
Longueur = x
Largeur = y
Zone du rectangle = Longueur * largeur
Un cinquième de longueur = x / 5
Un tiers de largeur = x / 3
Zone d'origine = xy
Nouvelle dimension:
Longueur = x + x / 5 = (5x + x) / 5 = 6x / 5
Largeur = x + x / 3 = (3y + y) / 3 = 4y / 3
Nouvelle zone = 6x / 5 * 4y / 3
Nouvelle zone = (24/15) xy
Fraction de la nouvelle zone par rapport à la zone d'origine:
(24/15) xy: xy
24/15: 1
24/15
= 8/5
10. Determine if the triangles are congruent.
Answer:SAS
Step-by-step explanation:
If you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
ice cream
vanilla
chocolate
toppings
fudge
cherry
marshmallow
What is the equation, in standard form, of a parabola that models the values in the table?
x= -2, 0, 4
f(x)= 2.5, 1.5, -60.5
Answer:
y=-2.5[tex]x^{2}[/tex]+4.5x+1.5
Step-by-step explanation:
standard form of equation of parabola is,
y=a[tex]x^{2}[/tex]+bx+c
For x=0
1.5=0a+0b+c
1.5=c
For x=-2,
2.5=4a-2b+c
substituting the value of c
2.5=4a-2b+1.5
on solving,
4a-2b=1____________(1)
For x=4,
-60.5=16a+4b+c
substituting the value of c,
-60.5=16a+4b+1.5
on solving,
16a+4b=-62_______(2)
Multiplying equation 1 by 2,
8a-4b=2_______(3)
adding equation 2 and 3
16a+4b+8a-4b=-62+2
24a=-60
on solving,
a=-2.5
substituting the value of a in equation 1,
10-2b=1
2b=9
b=4.5
hence, equation of parabola in standard form is,
y=-2.5[tex]x^{2}[/tex]+4.5x+1.5
FILL IN THE BLANKS: To solve an algebraic equation, we must go in ______ order and use the ______ operations.
Linear Equations
word problems
Mrs. Dyal starts the year with 150 pencils and
gives away an average of 10 pencils per week.
Represent with a function Represent with a graph
f(x)
Domain =
Range =
140
120
100
Pencils remaining
80
When will Mrs. Dual run
out of pencils?
Answer:
Part 1
The given information represented as a function, f(x) is;
f(x) = 150 - 10·x
Part 2
Please find attached the given information represented as a graph is created with Microsoft Excel
Part 3
Mrs. Dyal will run out of pencils after giving away pencils for 15 weeks
Step-by-step explanation:
The word problem relates to linear functions of the form f(x) = y = m·x + c
The given parameters are;
The number of pencils Mrs. Dyal has at the start of the year = 150 pencils
The number of pencils Mrs. Dyal gives away per week = 10 pencils
Part 1
Let "x" represent the number of weeks at which Mrs. Dyal is giving away the pencils
Given that she gives away 10 pencils each week, we have the function that represent the number of pencils remaining after "x" weeks is given as follows;
f(x) = 150 - 10×x.
The number of weeks, "x", that passes before Mrs. Dyal runs out of pencil (f(x) = 0) is given as follows;
f(x) = 0 = 150 - 10 × x
∴ 150 Pencils = 10 Pencils/Week × x
x = 150 Pencils/(10 Pencils/Week) = 15 Weeks
x = 15 Weeks
Therefore Mrs. Dyal will run out of Pencil at when x = 15 Weeks
Part 2
The function can be represented as a graph using the table of values as follows ;
Pencil remaining [tex]{}[/tex] Number of weeks
150 [tex]{}[/tex] 0
140 [tex]{}[/tex] 1
130 [tex]{}[/tex] 2
120 [tex]{}[/tex] 3
110 [tex]{}[/tex] 4
100 [tex]{}[/tex] 5
90 [tex]{}[/tex] 6
80 [tex]{}[/tex] 7
70 [tex]{}[/tex] 8
60 [tex]{}[/tex] 9
50 [tex]{}[/tex] 10
40 [tex]{}[/tex] 11
30 [tex]{}[/tex] 12
20 [tex]{}[/tex] 13
10 [tex]{}[/tex] 14
0 [tex]{}[/tex] 15
The domain = 0 ≤ x ≤ 15 {x ∈ N including 0}
The range = 0 ≤ f(x) ≤ 150
From the graph of the function created with Microsoft Excel, Mrs Dyal has no more Pencils left when x = 15 weeks
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
28x
Step-by-step explanation:
Elaina misses 2 free throws for every 10 attempts. How many free throws can you expect Elaina to make if she shoots 15 free throws in a game? Input your answer as a number with NO spaces!
Answer:
12
Step-by-step explanation:
I really need help with this... Please! I’ll mark you brainliest
A new coat cost $180. The sales taxes is 8% how much is the sales taxes
Answer:
14.4
Step-by-step explanation:
Change 8% to a decimal which is 0.08 and then multiply 180 × 0.08 then you should get 14.4 Hope this Helps
Use the Distributive Property. -9(2x-4y)
Answer:
-18x-36y
Step-by-step explanation:
Distributive Property:
-9*2x=-18x
-9*4y=-36y
-18x-36y
A crayon company recently changed its labels. It currently has a total of 80,553 crayons in stock, 45,695 of which have the new label. How many crayons with the old label does the company have in stock?
Answer:
34858
Step-by-step explanation:
You would subtract 80553 by 45695 and you would get your answer.
Answer:
vh
Step-by-step explanation:
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