[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \:(x - 1)(x + 3) }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {x}^{2} + 2x - 3[/tex]
[tex] = {x}^{2} + 3x - x - 3[/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] = x(x + 3) - 1(x + 3)[/tex]
Taking the factor [tex](x+3)[/tex] as common,
[tex] = (x - 1)(x + 3)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Question 1 of 25 f(x) = 2x2 + 6x - 4 g(x) = 5x3 - 6x? - 3 Find (f + g)(x).
Answer:
option B
Step-by-step explanation:
[tex]f(x) = 2x^2 + 6x -4\\\\g(x) = 5x^3 - 6x^2 - 3\\\\(f + g)(x) = f(x) + g(x) \\\\[/tex]
[tex]= (2x^2 + 6x - 4) + ( 5x^3 -6x^2 - 3) \\\\= 2x^2 + 6x - 4 + 5x^3 - 6x^2 - 3\\\\= 5x^3 + 2x^2 - 6x^2 + 6x - 4 - 3 \\\\= 5x^3 - 4x^2 + 6x - 7[/tex]
Answer:
the answer is b
Step-by-step explanation:
hope this helps :)
Need help with practice problem please
if marvin bought 490 soda cans and candy bars, where the ratio is 3:4, respectively, how many of each did marvin buy?
9514 1404 393
Answer:
210 soda cans280 candy barsStep-by-step explanation:
The 3+4 = 7 ratio units represent the total of 490 snacks, so each ratio unit represents 490/7 = 70 snacks.
The number of soda cans is 3·70 = 210.
The number of candy bars is 4·70 = 280.
Marvin bought 210 soda cans and 280 candy bars.
Jocelyn finds the blueprints for her house in the basement. The kitchen floor measures 12 inches long and 15 inches wide on the drawing. If the scale of the drawing is 1 inch: 4 ft, what are the dimensions of her actual kitchen floor?
Answer:
Step-by-step explanation:
48 ft by 60 ft
the points -6/5 and -5/6 will line in which quadrant
A negative x is to the left of the y axis and a negative y value is below the x axis. Any value to the left and below the axis’ will be in the 3rd quadrant.
Answer: 3rd quadrant
Which equation, when solved, results in a different value of x than the other three?
-7/8x-3/4=20
3/4+7/8x=-20
-7(1/8)x-3/4=20
-7/8(-8/7)x-3/4=20(-7/8)
Answer:
D. -7/8(-8/7)x-3/4=20(-7/8) is the answer.
Anyone plz show how to work it out step by step.
Answer:
168cm^3
Step-by-step explanation:
Q to P is going to be 3cm. it is identical to the length T to U.
R to T , W to Q, S to U is going to be identical to P to V. P to V has been identified as 12 cm.
in the middle of the shape, there are 4 identical triangles. the height time length will give us the area of that one shape:
e.g for shape P to V to W to Q and back to P is one rectangle. the length is 12 cm and the width is 3 cm.
12 x 3= 36
36cm^3 is one rectangles surface area, we have 4 identical triangles that means we need to times 36 by 4.
so 36x4=144.
now on the left and right side, we have two squares. on the right, we have T to U to V to W back to T this has the height of 3 width of 4 then we do 3 X 4 which is 12, we times it by 2 because we have two identical squares.
12 X 2=24
finally we add 24 and 144 = 168cm^3.
hope this helps :)
1. A photograph measures eleven inches wide and fourteen inches long. The picture is enlarged to fit on a wall. If the new larger picture is 231 inches wide, how long is it?
234 inches
294 inches
181.5 inches
412.5 inches
.
Answer:
294 in
Step-by-step explanation:
set a ratio w/l
11/14
set it equal to 231/x
x = length
[tex]\frac{11}{14}[/tex] = [tex]\frac{231}{x}[/tex]
cross multiply
11x = 3234
divide by 11
x = 294
Consider the following number line:
Answer:
here is your answer
Step-by-step explanation:
b
c
a answer
find the area
steps, please
Answer:
45) 35.75 sq km
46) 24.5 sq km
Step-by-step explanation:
Area of Square:
A= [tex]\frac{(base)(height)}{2}[/tex]
45) A = (11)(6.5) ÷ 2 =
46) A = (10)(4.9) ÷ 2 =
Answer:
45) [tex]35.75[/tex] [tex]km^2[/tex]
46) [tex]24.5[/tex] [tex]km^2[/tex]
Step-by-step explanation:
------------------------------
The formula to find the area of a triangle is [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] stands for the base and [tex]h[/tex] stands for the height.
So, let's solve and find out the answer.
--------------->>>>
45)
[tex]A=\frac{1}{2}(11)(6.5)[/tex]
[tex]A=\frac{1}{2}(71.5)[/tex]
[tex]A=35.75[/tex]
The area of this triangle is [tex]35.75[/tex] [tex]km^2[/tex]
--------------->>>>
46)
[tex]A=\frac{1}{2} (10)(4.9)[/tex]
[tex]A=\frac{1}{2} (49)[/tex]
[tex]A=24.5[/tex]
The area of this triangle is [tex]24.5[/tex] [tex]km^2[/tex]
------------------------------
Hope this is helpful
santino is renting a canoe from a local shop that charges a $10 fee, plus an hourly rate of $7.50. For how long can santino rent a canoe if he pays a total of $70
Answer:
Santino rented the canoe for 8 hours.
Step-by-step explanation:
The total bill is represented by the formula r(h) = $10 + ($7.50/hour)h,
where h is the number of hours over which the canoe is rented.
If the total bill is $70, then $70 = $10 + ($7.50/hour)h.
Solve this for h. Start by subtracting $10 from both sides, obtaining:
$60 = ($7.50/hour)h.
Dividing both sides by ($7.50/hour), we get:
$60
h = --------------------- = 8 hours
($7.50/hour)
Santino rented the canoe for 8 hours.
2. A bag contains one red, one blue and one white marble. One marble is chosen at random
from the bag, and then replaced into the bag. A second marble is chosen.
a) Draw a probability tree and find the sample space.
(3 marks)
Answer:
Step-by-step explanation:
There are 400 animals that live at a zoo. You find that 22 of 65 randomly chosen animals are
monkeys. About how many animals in the entire zoo are likely to be monkeys?
Answer:
About 135.
Step-by-step explanation:
As the sample is random the number of monkeys likely to be in the zoo
= (22/65) * 400
= 135.38
Find the length of the third side. If necessary, round to the nearest tenth
Answer:
30
Step-by-step explanation:
third side is the hypotenuse since it is opposite to 90 degree.
using pythagoras theorem
a^2 + b^2 = c^2
24^2 + 18^2 = c^2
576 + 324 = c^2
900 = c^2
[tex]\sqrt{900}[/tex] = c
30 = c
therefore third side is 30.
Answer:
30
Step-by-step explanation:
[tex] {24}^{2} + 18 {}^{2} = c {}^{2} \\ 576 + 324 = c {}^{2} \\ \sqrt{900 = \sqrt{c }^{2} } \\ = 30[/tex]
how to solve 4 > 11 - x/3
Answer:
21 < x
Step-by-step explanation:
4 > 11 -x/3
Subtract 11 from both sides
4 - 11 > -x/3
-7 > -x/3
Multiply both sides by 3
-7*3 > -x
-21 > -x
Multiply both sides by (-1)
21 < x
When we are multiplying by negative, then inequality sign changes.
Cho hàm ẩn z=z(x,y) xác định từ phương trình x+y+xz+yz2−1=0. Tính vi phân toàn phần dz(1,0).
Answer:
please write the question in english than I may help you
Mathematics
Evaluate the equations or inequalities. Write the Letter of your answer to the corresponding boxes at the bottom of the page to discover the answer to the title questions.
How does an ESP Expert send his mail?
☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐
7 11 1 8 2 9 11 3 1 8 9 4 6 9 4 9 1 2 10 5
help po.
Step-by-step explanation:
ejdjbd x bxbx k wbu y DJ UK j HK JM dz
nb
Which expression is equivalent to (6x2 + 4)(x + 5) ?
A 6x2 + 20
B 6x2 + 16x + 20
C 603 + 30x2 + 4x + 20
D) 6x3 + 11x2 + 3x + 20
Answer: [tex]6x^3 +30x^2 +4x+20[/tex]
Step-by-step explanation:
[tex](6x^2 +4)(x+5)\\\\ =6x^3 +30x^2 +4x+20[/tex]
i need to see the steps for simplifying 3(m-5)+m
Answer:
4m - 15
Step-by-step explanation:
a( x + y) = ax + ay
[tex]3( m - 5 ) + m\\\\3m - 15 + m \\\\4m - 15[/tex]
Answer:
4m-15
Step-by-step explanation:
Distrubite 3 through the parentheisis
3m-15+m
Collect like terms
4m-15
please help me please help me please help me please help me please help me please help me please
Answer:
Q3. 9
Q4. 6
Step-by-step explanation:
1.) The grade 6 class harvested 3 44 kg of tomatoes, 53 kg of eggplants and 2 42 kg of green pepper from their "Gulayan sa Paaralan”. How many kilograms of vegetables did they harvest in all? a. What is asked in the problem? b. What are the given facts? c. What operation will be used? d. What is the number sentence? e. What is the answer?
Answer:
649 kg of vegetables
Step-by-step explanation:
What is asked?
The total number of vegetables planted
The given facts?
[tex]Tomatoes= 344kg[/tex]
[tex]Eggplants =53kg[/tex]
[tex]Green\ pepper =242kg[/tex]
The operation to be used?
The addition operation
The number sentence?
[tex]344 + 53 + 242[/tex]
The answer?
[tex]344 + 53 + 242 =639[/tex]
The length of a rectangle should be 20 meters longer than 8 times the width. If the length must be
between 116 and 180 meters long, what are the restrictions for the width, z?
Write the solution set as an algebraic inequality solved for the variable
Answer:
The width of the rectangle lies between 12 and 20.
Step-by-step explanation:
Let the width of the rectangle is w.
length of the rectangle,
L = 8 w + 20
116 < L < 180
So,
116 < 8 w + 20 < 180
96 < 8 w < 160
12 < w < 20
So, the width of the rectangle lies between 12 and 20.
Zari folds the net shown into model of a solid figure. How many edges, faces, and vertices does the model have?
Answer:
Faces = 6
Vertices = 8
Edges = 12
Step-by-step explanation:
In a solid geometric shape :
A face is a flat surface : faces = 6
A vertex (plural: vertices) is a Corner : vertices = 8
An edge is a particular type of line segment joining
two vertices : Edges = 12
Determine the equation of the line that is perpendicular to the given line, through the given point.
y=3x+4; (9, -7)
Answer:
The equation of the line is [tex]y + 7 = -\frac{1}{3}(x - 9)[/tex]
Step-by-step explanation:
Equation of a line:
The equation of line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which m is the slope and the point is [tex](x_0, y_0)[/tex]
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
Through (9,-7)
This means that [tex]x_0 = 9, y_0 = -7[/tex]
So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - (-7) = m(x - 9)[/tex]
[tex]y + 7 = m(x - 9)[/tex]
Perpendicular to y = 3x + 4
This line has slope 3, so:
[tex]3m = -1[/tex]
[tex]m = -\frac{1}{3}[/tex]
Thus
[tex]y + 7 = m(x - 9)[/tex]
[tex]y + 7 = -\frac{1}{3}(x - 9)[/tex]
How many different 5 digit natural numbers are there starting with odd numbers or ending with even numbers.
find the area of the given figure
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Radius of the circle "[tex]r[/tex]" = 5.5 yd
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The area of the given figure.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION :}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {b. \:47.5\:sq\:yd.}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
We know that,
[tex]\sf\pink{Area\:of\:a\:semi-circle}[/tex] = [tex]\frac{\pi \: {r}^{2} }{2} [/tex]
Using 3.14 for π, we have
[tex] = \frac{3.14 \times ( {5.5 \: yd})^{2} }{2} \\[/tex]
[tex] = \frac{3.14 \times 5.5 \times 5.5 \: {yd}^{2} }{2}\\ [/tex]
[tex] = \frac{94.985 \: {yd}^{2} }{2} \\[/tex]
[tex] = 47.5 \: {yd}^{2} \\[/tex]
Using [tex]\frac{22}{7} [/tex] for π,
[tex] = \frac{22 \times 5.5 \times 5.5 \: {yd}^{2} }{7 \times 2} \\[/tex]
[tex] = \frac{665.5 \: {yd}^{2} }{14}\\ [/tex]
[tex] = 47.5 \: {yd}^{2} \\[/tex]
Therefore, the area of the semi-circle is [tex]47.5\: yd²[/tex].
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]
5 x 10 - 2 = ??
HALP MOIIIIIIIIIIIIIIIIIIIIII
Answer:
48
Step-by-step explanation:
the answer is 48 I got this answer by multiplying 5 by 10 and subtracting is from 2 which gives me 50 - 2 which is 48
Answer:
48
Step-by-step explanation:
5×10-2=50-2
=48
hope it helps!!
2(f-9)=-28 f=?
-3(2t+3)=-21 t=?
Answer:
1. f= 3/5
2. t= 3/5
Step-by-step explanation:
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Answer:
Below in bold.
Step-by-step explanation:
2(f - 9) = -28
2f - 18 = -28
2f = -28 + 18
2f = -10
f = -5.
-3(2t + 3) = -21
2t + 3 = -21/-3
2t + 3 = 7
2t = 4
t = 2.
How do I solve this
Answer:
P(A or B) = 1.16
Step-by-step explanation:
Given probability:
Probability of event A = P(A) = 0.46
Probability of event B = P(B) = 0.7
P(A and B) = 0.43
Find:
P(A or B)
Computation:
If A is an incident and B is a separate event, P(A or B) is the possibility of either A, B, or both events occurring.
P(A or B) = P(A) + P(B)
P(A or B) = 0.46 + 0.7
P(A or B) = 1.16
Evaluate the function.
f(x)=2x^2+8x
Find f(−1)
PLease help!
a:-10
b:-6
c:6
d:10
Answer:b
Step-by-step explanation: