Answer:
y > 1/2x - 1
First, draw the dashed line y = 1/2x - 1 (slope intercept ; y = mx + b).
Start at -1 on the y-axis, and continue going 2 units to the right, and 1 unit up for the right side of the graph.
Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.
Explanation:
Convert standard form (Ax + By = C) by isolating y from the rest of the equation.
Ax + By = C → y = -Ax/B + C/B → y = mx + b.
Given a standard form equation in inequality form,
x - 2y < 2.
Set it to slope-intercept as an inequality to find the slope and y-intercept.
When negating (making opposite) a variable, you flip the inequality.
x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → y > 1/2x - 1.
Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!
Answer:
y = 4
General Formulas and Concepts:
Order of Operations: BPEMDASComplementary Angles: Angles that add up to 90°Step-by-step explanation:
Step 1: Set up equation
(8y - 2)° + 60° = 90°
Step 2: Solve for y
Combine like terms: 8y + 58 = 90Subtract 58 on both sides: 8y = 32Divide both sides by 8: y = 4shenika is inviting 7 friends to a party. if each friend will get 5 cookies and each box has 12 cookies. how many boxes does shenika need to get
Answer:
Shenika invites 7 friends and each one gets 5 cookies.
= 7*5
= 35
Based on above answer, Shenika will need a total of 35 cookies for all.
-----------------------------------------------------------------------------------------------------------
Each box has 12 cookies.
Total cookies = 35
Let the number of boxes be x.
12*x = 35
x = 35/12
x = 2.9
This means she would need 3 boxes.
7/2x+1/2x=6+5/2x pls help
Answer:
4
Step-by-step explanation:
7/2+1/2=8/2
8/2=6=5/2
8/2-5/2=3/2
3/2=6
3/2=1.5
6/1.5=4
If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to
(a) 0
(b) 13√
(c) 1
(d) √3
please answer it fastt
Answer:
(c) 1
Step-by-step explanation:
[tex] \sin \: A = \cos(2A - 45 \degree) \\ \\ \cos(90 \degree - A )= \cos(2A - 45 \degree) \\ \\ 90 \degree - A = 2A - 45 \degree \\ \\ 90 \degree - 45 \degree = 2A -A \\ \\ 45 \degree = A \\ \\ A = 45 \degree \\ \\ \tan \: A = \tan \: 45 \degree \\ \\ \huge \red{ \boxed{\tan \: A =1}}[/tex]
PLZZZ HELLPPPP THIS IS A TIMED TESTT *LOOK AT PICTURE*
The two triangles are similar. Find the values of the unknown variables.
Answer:
Step-by-step explanation:
40 : 30 = x : 63 ⇒ x = (40*63)/30 = 84
y = 59°
Will give brainliest
Answer:
idk
Step-by-step explanation:
Do u think I should get a belly button piercing? I’m going to be 16 soon.. I already have a nose piercing tho so idk if that would be to much?
Answer:
no. i think that is weird-ish.
Step-by-step explanation:
Find three consecutive integers where the sum of the first and the twice second is 5.
Answer:
1,2, and 3
Step-by-step explanation:
1+ (2*2) is equal to 5, so it has to be 1 and 2, and you can figure out that 3 goes after that.
What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III
Answer:
Step-by-step explanation:
The value of cos(x/2) is required.
The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
TrigonometryThe given value is
[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.
From trigonometric identities we have
[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]
If x lies in quadrant III then x/2 lies in quadrant II.
Cos is negative in quadrant III so,
[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]
[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
Since, x/2 lies in the second quadrant and cos (x/2) is negative.
The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
Learn more about trigonometry:
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Can someone please tell me how to solve this??
4x^2+35x+24=0
Answer:
Step-by-step explanation:
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
The diagram shows a cuboid.
8 cm
durinn
15 cm
20 cm
What is the surface area of the cuboid?
Answer:
6436
Step-by-step explanation:
because yes
What is the answer to: three times a number K is more than 14
Answer:
k > 14/3
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Translate
"Three" = 3
"times" = multiplication
"a number k" = k
"is more than" = >
"14" = 14
Step 2: Set up inequality
3k > 14
Step 3: Solve for k
Divide both sides by 3: k > 14/3Here we see that any number k greater than 14/3, or 4.666..., will work as a solution.
What is the slope and y intercept
Y=-1/5x+6
Answer:
slope: -1/5×
y-int. : 6
Answer:
slope is -2/5x and the y intercept is 6
Helpppppppppppppppppppppppppp
5 and 8
Answer:
5. -3, -2/3
Step-by-step explanation:
5.
6x-4y=18
-x-6y=7 multiply this equation by 6 both sides
6x-4y=18
-6x-36y=42 add both equations
-4y-36y=18+42 combine like terms
-40y=60 so y = -4/6= -2/3
subtitute y=-2/3 in -x-6y=7
-x-6*(-2)/3=7 solve
-x+4=7 subtract 4 from both sides
-x=7-4
x= -3
8.
substitute y=4x+5 in to the second equation
12x-3(4x+5)=9
12x-12x-15=9
-15=9 is never true so the equation has no solutions
5p - 13 < 32
Please and thank you
Answer:
p < 9
Step-by-step explanation:
5p-13<32
Subtract 13 from both sides.
5p<45
divide 5 from both sides
p < 9
how to write thirty six thousanths in standard form
Answer:
36,000
Step-by-step explanation:
Answer:
3600
Step-by-step explanation:
because that's how you write it so yes do it please this is the answer s itch wi guy if i.p.o fallacy hallmark plz upload pda fool jsa xxl la all pda all jazz dlp jazz all
Yvette uses 6grams of tea leaves to make 24 fluid ounces of tea last week she made 288. Fluid ounces of tea how many grams of tea leaves did Yvette use to make tea last week
Answer: 72 grams of tea
Step-by-step explanation:
From the question, we are informed that Yvette uses 6grams of tea leaves to make 24 fluid ounces of tea. This means that for 1 gram of tea leaves, she'll use:
= 24/6
= 4 fluid ounces of tea
Since, 1 gram of tea leaves will be used to make 4 fluid ounces of tea, therefore, the number of grams of tea leaves that will be used to make 288 fluid ounces of tea will be:
= 288/4
= 72 grams of tea
HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).
Answer:
Y=3x+12 (its the first option)
Step-by-step explanation:
I did the assignment.
The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.
Given :
The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):
Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
Step 2 - The one-point form is given below:
[tex](y-y_1) = m (x-x_1)[/tex]
Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.
Step 4 - Now, substitute the values of slope and the point in the above expression.
[tex](y+3) = 3 (x+5)[/tex]
y = 3x + 2
For more information, refer to the link given below:
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If using the method of completing the square to solve the quadratic equation
x2 - 6x + 6 = 0, which number would have to be added to "complete the square"?
This is what the steps look like when we complete the square
x^2 - 6x + 6 = 0
x^2 - 6x = -6
x^2 - 6x + 9 = -6+9
(x-3)^2 = 3
We add 9 to both sides so that we can factor x^2-6x+9 into (x-3)(x-3) = (x-3)^2
To get the 9, we cut the -6 (from -6x) in half to get -6/2 = -3. Then we square that to get (-3)^2 = 9
It might help to look at (a+b)^2 = a^2+2ab+b^2 and note the relationship between 2ab and b^2.
GUYS MORE HELP LIKE FAST
Step-by-step explanation:
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Which polynomial is in standard form?
A) 2x + 3x3 + 5x5 + 9x4 + 2x
B) 5 + 3x + x2 + 2x4 + 2x5
C) 8x7 + 3x6 + x5 + 5x4 − 2x3
D) 8x2 + 3x5 + x6 + 5x7 − 2
f(x)=x+2 g(x)=3x^2-5 find (f x g)(x)
Answer:
(f · g)(x) = 3x³ + 6x² - 5x - 10
General Formulas and Concepts:
Distributive PropertyFOIL (First, Outside, Inside, Last)Step-by-step explanation:
Step 1: Define
f(x) = x + 2
g(x) = 3x² - 5
Step 2: Find (f · g)(x)
Set up: (x + 2)(3x² - 5)FOIL: 3x³ - 5x + 6x² - 10Combine like terms: 3x³ + 6x² - 5x - 10What is the slope of the line that passes through the points (-1, -7)(−1,−7) and (-2, -5) ?(−2,−5)? Write your answer in simplest form.
Answer:
-2
Step-by-step explanation:
Nathan took his car in for service and repairs. He had a coupon for 10% off.
Original Prices
• Labor $254.58
• Parts $333.90
• Other $64.42
Which amount is closest to Nathan's total costs after the 10% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]
Answer:
$594.21
Step-by-step explanation:
Because 254.58 + 333.90+ 64.42= $622.87
and 10 off of $622.87 = $560.58
and 6% sales tax to $560.58 = $594.21
Model 3+ (-4) on the number line
Answer:
-1
Step-by-step explanation:
If u add 3 whole numbers to a negative number 4 then it'll equal -1. Think of it like 4-3 but add the negative sign at the begining
Answer:
-1
Step-by-step explanation:
Simplify: 3 - 43 - 4 = -1Mark -1 on the number lineI hope this helps!
What is the value of y?
Answer:
y = 29 degrees
Step-by-step explanation:
5y + 35 = 180
5y = 145
y = 29
5. The sum of three consecutive integers is
147. Which equation represents how to
find the least integer?
A. n+ (m + 1) + (n+ 2) = 147
B. 3n = 147
C. n + 2n + 3n = 147
D. 3n - 3 = 147
The solution is Option A.
The sum of the three consecutive numbers is given by the equation
A = n + ( n + 1 ) + ( n + 2 ) = 147°
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be n
The value of the second number = n + 1
The value of the third number = ( n + 1 ) + 1
The value of the third number = n + 2
Substituting the values in the equation , we get
Now , the total sum of all the values is A = 147
Hence , the equation is A = n + ( n + 1 )° + ( n + 2 ) = 147
To learn more about equations click :
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Solve w(raised to the 2nd power)=81, where w is a real number. Simplify your answer as much as possible.
w=?
Answer:
9
Step-by-step explanation:
9 to the second power would be 9 times 9, which equals 81
Whats is the answer for 30x10283
Answer: 30 x 10,283= 308,490
Step-by-step explanation: 30 multiplied by 10,283 equals 308,490
I NEED HELP !!! 30 points!!!! and brainliest :)
please give sensible answer :(
Answer:
Step-by-step explanation:
9) PQR Is an isosceles triangle
=> ∠PRQ = (180° - x)/2
PRS is an isosceles right triangle
=> ∠PRS = 45°
Have: ∠PRS + ∠PRQ = 115°
=> [tex]\frac{180-x}{2}+45=115 \\[/tex]
=> 180 - x = (115 - 45).2 = 140
<=> x = 180 - 140 = 40
10) ABD is an isosceles right triangle => ∠ABD = 45°
BCD is an equilateral triangle => ∠CBD = 60°
have: x = ∠ABD + ∠CBD = 45° + 60° = 105°
11) have: x = y (2)
PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40
QTS is an isosceles triangle => ∠TQS = 180 -2x
QRS is an isosceles triangle => ∠RSQ = y
have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)
(1)(2) => [tex]\left \{ {{y=x} \atop {2x-y=40}} \right.\\\\=> \left \{ {{x=40} \atop {y=40}} \right.[/tex]
=> x + y = 80
12) EFJ Is an equilateral triangle => ∠FJE = 60
∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle
=> 60 = 2.∠JHF => ∠JHF = 30°
∠JHF is the outer angle of the triangle FHG
=> 30° = 2x
<=> x = 15°
