Answer:
[tex]x < 25[/tex]
Step-by-step explanation:
Find all whole values for y for which the double inequality is true:
a) −5
b) 28
How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.
— — — — — — — — — —
Step-by-step explanation:How can we factor 5x^2 + 26x - 24 = 0 using the completing the square method?
Let's solve your equation step-by-step.
[tex] \bold{Given \: Equation: \color{brown} 5x²+26x-24=0}[/tex]
First, add 24 to both sides.
[tex] \bold{5x²+26x-24 - \purple{ 24} = 0 + \purple{24}}[/tex][tex] \bold{ \implies \: 5x²+26x = 24 }[/tex]Since the coefficient of 5x² is 5, divide both sides by 5.
[tex] \bold{ \frac{5 {x}^{2} + 26x }{5} = \frac{24}{5} } \\ [/tex][tex] \bold{ \implies \: {x}^{2} + \frac{26}{5} x = \frac{24}{5} } \\ [/tex]The coefficient of 26/5x is 26/5. So, let b=26/5.
Then we need to add (b/2)²=169/25 to both sides to complete the square.
Add 169/25 to both sides.
[tex] \bold{ {x}^{2} + \frac{26}{5} x + \frac{ \purple{169}}{ \purple{25}}= \frac{24}{5} + \frac{ \purple{169}}{ \purple{25}} } \\ [/tex][tex] \bold{ \implies \:\bold{ {x}^{2} + \frac{26}{5} x + \frac{ 169}{ {25}}= \frac{289}{25} } } \\ [/tex]Factor the left side.
[tex] \bold{(x + \frac{13}{5} ) {}^{2} = \frac{289}{25} } \\ [/tex]
Take square root.
[tex] \bold{x + \frac{13}{5} = ± \: \sqrt{ \frac{289}{25} }} \\ [/tex]Then, add (-13)/5 to both sides.
[tex] \bold{x + \frac{13}{5} + \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \: \sqrt{ \frac{289}{25}}} \\ [/tex][tex] \bold{ \: x = \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\ [/tex][tex] \implies \: \underline{ \boxed{ \bold{ \frac{4}{5} } \sf \: \: or \: \: \bold{ x = - 6}}} \\ [/tex]_______________❖_______________
Colleen is attending a carnival. The price of admission to the carnival is shown. It costs $3 to play a game. Colleen has $35.
Amaya has a bookshelf full of fiction and nonfiction books in a ratio of 4 : 7. She lends of her fiction books to her best friend and is left with 30 total 4 1books. How many total books did she have before giving any to her best friend?
if the ratio was
4:7
she would probably have had around
35 BOOKS (if you include the 6 books)
Hope this helps!
A point has been translated right and up. The image of the point is point E. What point is the pre-image of point E?
A
B is correct
C
D
Answer: B is correct
Step-by-step explanation:
ik it says it in the question but i like points
could someone pls help me? thank you
Answer:
A. $57.95
C. $12,509.49
Step-by-step explanation:
(dont understand B.)
Tyler used 312 gallons of paint to paint 35 of a fence. How many gallons will it take to paint the whole fence?
Write a division number sentence to model this question.
Write a multiplication number sentence to model this question.
Answer:
Your division number sentence should be sumn like: 312÷35= 8.9=9
Eric is designing a logo for a company. The logo consists of two identical parallelograms joined at their longest sides. One of the parallelograms has a base of 2.5 centimeters and a height of 1.25 centimeters. What is the area of the logo
Answer:
6.26 cm
Step-by-step explanation:
To find the area of a parallelogram, the formula is just
B * H
so the equation would be
2.5 * 1.25
which would equal
3.13
Since in the question, the logo consists of two identical parallelograms, you would multiply 3.13 by 2 so the equation would be
3.13 * 2
which would equal
6.26
HELP FAST
The diagram represents the process of creating a scale drawing from an original using a scale factor of 0.4. The base of the original drawing must be:
Answer:
18 or B
Step-by-step explanation:
So we know that...
25.6 x 0.4 = 10.24
and
10.24 ÷ 0.4 = 25.6
So, if we are trying to find the base of the first triangle we would do
7.2 ÷ 0.4 = base
7.2 ÷ 0.4 = 18
BASE = 18
Hope this Helps!
-SGO
WHAT IS NINE -9 PLUS TAN- 10?
Answer:
19
Step-by-step explanation:
Answer:
Step-by-step explanation:
ok if you mean 9 + 10 then it's 19, but if you mean -9 + -10 then it's -19 and if you mean 9 - 9 + 10 - 10 then it's 0
i'm just giving you all the answers because the way you worded the question it is a bit hard to tell.
Hope that helps
Which of the following rules describes the function graphed below?
On a coordinate plane, points are at (1, 5), (2, 4), (3, 3), (4, 2).
a.
Output = Input
c.
Output = 5 · Input - 4
b.
Output = Input - 4
d.
Output = 6 - Input
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
step 1 focused the diagram
step 2 remark that for input= 0 the output will be positive and approximatly equal to 6
step 3 focuse the choice you have A
step 4 remark that choice A and B and C dont verify our remark in step 2
Answer:
The answer is D, your output = 6 - ur input
Step-by-step explanation:
Two angles are complementary. One angle is equal to x + 6 degrees. The other is 3x +9 degrees. What is the measure of x?
Answer:153
Step-by-step explanation:3x9=27 so then you do 180-27=153 then 153 is your answer i'm sorry if this is incorrect
Hey there!
=> x + 6 + 3x +9 = 90°
=> 4x + 9 + 6 = 90°
=> 4x + 15 = 90°
=> 4x = 90° - 15
=> 4x = 75
=> [tex] \frac{4x}{4} = \frac{75}{4} [/tex]
=> [tex]x = \frac{75}{4} [/tex]
=> x = 18.75
Then ,
=> 18.75 + 6, 3(18.75) + 9
=> 24.75, 65.25
Therefore, the two angles are 24.75 and 65.25
Krista’s mom has told her she need to make the pen 1 2 the size that she had planned (5 feet long by 4 1 2 feet wide). What will the area be? What are two possible lengths and widths she could use? u will receive brainliest
Step-by-step explanation:
5*4.5=22.5
22.5/2=11.25
11.25=3*3.75
11.25=5*2.25
Please help i will give 30 points and the brainlest to the best answer also please show ur work thxs
1. what is the y-intercept of the line represented by the equation? 2x-y=12
A.(0, 12)
B.(6, 0)
C.(0, -12)
D.(-1, -14)
The answer is C.(0,-12).
I used a graphing calculator and just plugged in your equation. The X intercept is 6.
Will give Brainliest if ur right!!!
Answer:
2nd selection
Step-by-step explanation:
good luck
Answer:
It's the B or the second option.
Step-by-step explanation:
I got this right on my Exam on FLVS!
What is the length of the unknown leg of the right triangle?
I"LL MAKE YOU BRAINLIEST IF YOU ANSWER
Of Lee's baseball cards, 1/5 show California players. Of these, 38 show San Diego Padres players. Is it a fraction of lee’s collection that shows Padres players 23/40, 4/13, or 3/40?
Answer:
4/13
Step-by-step explanation:
bc if u take 1/5 and multiply the five to get forty and then multiply the 1 u get 8/40 so u can't add 38 to it or it goes over if u add 3/40 or 23/40 it also goes over so it can only be 4/13
Esi says that the value of z when z^2 = 80 does not belong in either of these categories since z must be greater than 8.
What whole number would z be closest to?
(please explain)
Answer:
9
Step-by-step explanation:
if z=8 then z^2 would be 64, which is not equal to 80
iz z=9 then z^2 would be 81, which is closer to 80 than 64
therefore, 9 is the whole number than z would be closest to
rewrite 2 3/4 as a fraction greater than 1
Answer:
11/4 is your answer
Step-by-step explanation:
multiply 2 by the denominator (4) to get 8. Then add 8 to the numerator (3) and you get your answer 11/4
Hope that helps!
A relation is a function if _____.
there is more than one input for each output
there is exactly one output for each input
there is more than one output for each input
there is exactly one input for each output
Answer:
Your answer is B
Step-by-step explanation:
hope this helped!
Which statement about the ordered pairs ( 3, -8 ) and ( 4, 4 ) is true for the equation
3x - y/4 = 11
- (3, -8) is a solution, but not ( 4, 4 ).
- Both ordered pairs are solutions.
- Neither ordered pair is a solution.
- ( 4, 4 )is a solution to the equation, but not ( 3, -8 )
Answer:
David W. answered • 11/10/15 ... This equation is true for these pairs of (x,y) values [that is, these are points on ... (1,-4) The point where x=1 and y=-4 ... For example: 3(0) - y = 7. -y = 7. y = -7. so the first ordered pair is (0 , -7).
Step-by-step explanation:
Steven is 5 years older than Lilith. Charlemaine is 3 years younger than twice Steven’s age. Write a polynomial that represents the sum of their ages in standard form.
Answer:
s = L + 5
c = 2s - 3
Step-by-step explanation:
Which of the following has the greatest density?
A. An object with a mass of 30 grams and volume 3 cm^3
B. An object with a mass of 20 grams and a volume 5 cm^3
C. An object with a mass of 50 grams and a volume of 10 cm^3
D. An object with a mass of 40 grams and a volume of 5 cm^3
Answer:
The object with the greatest density is A with 10,000 kilograms per cubic meter.
Step-by-step explanation:
A=10000 kilogram/cubic meter
B=4000 kilogram/cubic meter
C=5000 kilogram/cubic meter
D=8000 kilogram/cubic meter
What is the volume of the prism?
Answer:
4.5 ft
Step-by-step explanation:
Formula to find volume of the prism is :
Volume = Length × Width × Height
We know that,
[tex]1\frac{1}{2}[/tex] = 1.5
Let us solve now.
Volume = Length × Width × Height
= 2 ft × 1.5 ft × 1.5 ft
= 3 ft × 1.5 ft
= 4.5 ft
In the diagram, PQR = QRS = RST = 90 degree, PQ = QR = RS = 5cm and ST = 1cm.
Given that PUT and RS intersect at V, find the length of QU.
The length of the line segment QU diagram containing three right triangles is 3 centimeters.
How find a missing length in a triangle system by similarity propertiesIn the figure given below we have a system of three distinct right triangles connected by three colinear segments. Given that the three triangles are similar, we can make of geometry properties for similarity to determine the length of the missing line segment.
In this question we must find a missing length by similarity properties, which is represented mathematically by proportions. From the figure we have the following relationship:
5/y = (5 - x)/(5 - y) = x/1 (1)
From (1) we have the following two formulas:
x = 5/y (2)
x = (5 - x)/(5-y) (3)
(2) in (3):
y = 3
The length of the line segment QU diagram containing three right triangles is 3 centimeters. [tex]\blacksquare[/tex]
To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/25813512
Can you find the Volume of the figure?
[tex] \qquad \qquad \huge\underline{\boxed{\sf{Aиswєя} } } \: \ddot \smile[/tex]
↬ What we need to know before we solve :[tex] \sf \: Volume \: of \: a \: Cuboid = Length × Width × Height [/tex]
✦ Now, let's proceed further ~✰ Part the structure into two cuboids of dimensions :
[tex] \longrightarrow \sf 10 \: cm \times 8 \: cm \times 14 \: cm[/tex]
and
[tex] \longrightarrow \sf 10 \: cm \times 10 \: cm \times 8\: cm[/tex]
✦ Find out volume of each cuboid Cuвσíd #1[tex] \qquad \dashrightarrow \sf {(10 \times 8 \times 14) \: cm {}^{3} }[/tex]
[tex] \qquad \dashrightarrow \sf 1120 \: cm {}^{3} [/tex]
Cuвσíd #2[tex] \qquad \dashrightarrow \sf {(10 \times 10 \times 8) \: cm {}^{3} }[/tex]
[tex] \qquad \dashrightarrow \sf 800 \: cm {}^{3} [/tex]
➳ Aѕ wє cαn ѕєє, vσlumє σf thє whσlє fígurє íѕ :[tex] \qquad \longmapsto\sf \sf{Vol \#1 + Vol \#2}[/tex]
[tex] \qquad \longmapsto\sf \sf{(1120 + 800}) \: {cm}^{3} [/tex]
[tex] \qquad \therefore\sf \:volume_{(total)} = 1920 \:cm {}^{ 3} [/tex]
[tex]\huge \dag \: \normalsize \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]
Answer:
1920 cm³
Step-by-step explanation:
The volume of a cuboid is the product of its dimensions:
V = LWH
__
These two cuboids have the same width and depth, so can be stacked on top of each other to give a cuboid with the dimensions ...
(14 +10) = 24 cm high
8 cm deep
10 cm wide
Then the volume is ...
V = LWH = (8 cm)(10 cm)(24 cm) = 1920 cm³
The total volume is 1920 cubic centimeters.
PLEASE HELP ME !!!!!!!
Answer:
78.5cm
Step-by-step explanation:
I need to figure out what the value of x is
Answer:
52
Step-by-step explanation:
The square means that the angle is a right angle, measuring 90 degrees.
90 = 50 + (x - 12)
Subtract 50 from both sides.
40 = x - 12
Add 12 to both sides.
52 = x
Write an equation to determine the unknown side. Then solve the equation. Simplify your answer. Round to the nearest tenth, if necessary.
Show your work.
Write an equation to determine the unknown side. Then solve the equation
Given:- Right angle triangleHypotenuse = 12 Base = 4 Answer:- To Find:- Perpendicular = xFormula:- Pythagoras theoremhypotenuse ² = perpendicular ² + base ²
h² = p² + b²
12²= x² + 4²
144 = x² + 16
144-16 = x²
128 = x²
✓128 = x = 11.3
So ATQ :- Round to the nearest tenth.
Your answer :- perpendicular = x = 11
so sides of triangle are
hypotenuse = h = 12 perpendicular = x = 11 base = b = 4Answer:
11.314
Step-by-step explanation:
[tex]12^{2}[/tex] - [tex]4^{2}[/tex] = 128
[tex]\sqrt{128}[/tex] = 11.314
Joey dirves his car 80 miles per hour on the highway. Write an equation that ralates his distance traveled (d) to the time elapsed (t)
Use your equation to determine how many hours it will take joey to travel 320 miles
Answer:
d=80+t
Step-by-step explanation:
An equation that relates his distance travelled (d) to the time elapsed (t) is d = 80t and the time taken to travel 320 miles is 4 hours.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Joey drives his car 80 miles per hour on the highway.
For 1 hours, the distance travelled is 80 miles,
For t hours, the distance travelled will be 80t miles.
So, distance, d = 80t, which is the required equation.
When the distance is 320 miles, the time taken to travel it is,
t = d / 80
t = 320 / 80
t = 4 hours
Hence the time taken to travel 320 miles is 4 hours.
Learn more about Equations here :
https://brainly.com/question/17194269
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