Answer:
1
Step-by-step explanation:
3x + 5 = 8
Subtract 5 from both sides of the equation
3x + 5 -5 = 8 -5
Simplify
3x =3
Divide both sides of the equation by the same term
3x/3 = 3/3
Simplify
x = 1
Hence, 1 will make the equation True.
[RevyBreeze]
3x^2-5x-4+x^3 in standard form
Answer:
x^3 +3x^2 - 5x - 4
Step-by-step explanation:
Have to rearrange the terms into the correct format from biggest exponent to no exponent. Basically!
what is the constant of porportionality of the relationship shown in the graph.
Answer: The answer is 3
Step-by-step explanation:
The constant of proportionality of the relationship shown in the graph is 3 and this can be determined by using the two-point slope form of the line.
Given :
The graph of a straight line is given.
The following steps can be used in order to determine the constant of proportionality of the relationship shown in the graph:
Step 1 - The two-point slope form of the line can be used in order to determine the constant of proportionality of the relationship shown in the graph.
Step 2 - The two-point slope form of the line is given below:
y - y1 / x - x1 = y2 - y1 / x2 - x1
where (x1, y1) and (x2, y2) points on the line.
Step 3 - So, substitute (1,3) and (2,6) in the above equation.
y - 3 / x - 1 = 6 - 3 / 2 - 1
Step 4 - Simplify the above equation.
(y - 3) = 3(x - 1)
y - 3 = 3x - 3
y = 3x
So, the constant of proportionality of the relationship shown in the graph is 3. Therefore, the correct option is B).
For more information, refer to the link given below:
brainly.com/question/2564656
Hope this helps
~"Gamer"~
Tara bought 2 bottles of jucie a day for 15 days. on the 16th day, Tara bought 7 bottles write an expression that matches the words
Answer:
15 x 2 + 7
Step-by-step explanation:
Tara bought 2 bottles for 15 day.
Total bottles bought = 15 x 2
Tara bought 7 bottles on the 16th day:
Total bottles bought = 15 x 2 + 7
What’s the answer? #14
No, it is not an exponential function.
Find The Slope of the line, Please help!
Answer:
Top left point: (-2,3)
Bottom right point: (2,-4)
Slope = (-4 - 3)/(2- -2) = -7/4
Step-by-step explanation:
You may want to visit my you tube channel "Sciency Sergei" to see if anything is of interest to you. You may also suggest topic to discuss or problem to solve.
2/3 x 1/4 please answer NOW ( brainliest to whoever answers first!!!
Answer:
1/6
Step-by-step explanation:
A bookstore has paperback books marked down 25% You choose four books that usually sell for;
$8.95
$9.55
$6.85
$12.95
(A): total markdown, find total markdown
(B): Find total sale price.
Solve the quadratic equation numerically (using tables of x- and y- values). (x +2) (x + 3) = 12
sorry bro i let my brother try to solve random problems on here
Answer:
[tex]x=-6,\: x=1[/tex]
Step-by-step explanation:
[tex](x+2)(x+3)=12\\\\x^2+5x+6=12\\\\x^2+5x-6=0\\\\(x+6)(x-1)=0\\\\x=-6,\: x=1[/tex]
Find the length of the hypotenuse of an isosceles right triangle of area 72cm square
Answer:
Step-by-step explanation:
The base and height will be the two equal sides of the isosceles right triangle.
⇒ b = h = x cm
[tex]Area \ of \ triangle = \dfrac{1}{2}bh[/tex]
[tex]\dfrac{1}{2}bh = 72 \ cm^{2}[/tex]
[tex]\dfrac{1}{2}*x*x=72\\\\\\\dfrac{1}{2}*x^{2}=72\\\\\\x^{2}=72*2\\\\x^{2}=144\\\\Take \ square \ root,\\\\\sqrt{x^{2}}=\sqrt{144}\\\\x = \sqrt{12*12}\\\\x = 12 cm[/tex]
Hypotenuse² = b² + h²
= 12² + 12²
= 144 + 144
= 288
hypotenuse = √288
= 16.97 cm
Answer:
[tex]\large{\boxed{\sf Hypotenuse = 16.97\ cm }}[/tex]
Step-by-step explanation:
Here it is given that the area of a right isosceles ∆ is 72 cm² . Let us assume that each equal side is x . Therefore the height and the base of the ∆ will be same that is x .
[tex]\sf\qquad\longrightarrow Area =\dfrac{1}{2}(base)(height)\\ [/tex]
[tex]\sf\qquad\longrightarrow 72cm^2=\dfrac{1}{2}(x)(x)\\[/tex]
[tex]\sf\qquad\longrightarrow x^2= 144cm^2\\ [/tex]
[tex]\sf\qquad\longrightarrow x =\sqrt{144cm^2}\\ [/tex]
[tex]\sf\qquad\longrightarrow \pink{x = 12cm }[/tex]
Hence we may find hypotenuse using Pythagoras Theorem as ,
[tex]\sf\qquad\longrightarrow h =\sqrt{ p^2+b^2} [/tex]
Here p = b = 12cm ,[tex]\sf\qquad\longrightarrow h =\sqrt{ (12cm)^2+(12cm)^2}\\[/tex]
[tex]\sf\qquad\longrightarrow h =\sqrt{144cm^2+144cm^2}\\[/tex]
[tex]\sf\qquad\longrightarrow h =\sqrt{288cm^2}\\[/tex]
[tex]\sf\qquad\longrightarrow \pink{ hypotenuse= 16.97cm }[/tex]
Hence the hypotenuse is 16.97 cm .
I need help with the question below in the picture Please.
Answer:
the answer would be C
Step-by-step explanation:
Anya buys some avocados that cost $1.50 each. What is the total cost of her
purchase?
O A. = 1.5+ c
O B. n=1.50
C. c = 1.5n
D. C=n divide 1.5
Which absolute value inequality is modeled by this graph?
A.
y < |x − 2 | − 2
B.
y > |4x + 2| − 2
C.
y > |2x − 4| − 2
D.
y < |3x − 6| − 2
Answer: Choice D
y < |3x − 6| − 2
============================================================
Explanation:
Writing y < |3x − 6| − 2 is the same as y < 3|x − 2| − 2 when factoring out the GCF from the absolute value brackets.
Let's look at a breakdown of each piece of y < 3|x − 2| − 2
The 3 out front means "vertically stretch by a factor of 3".The x-2 means we shift 2 units to the right.The -2 at the very end means "shift 2 units down"If we started with the parent V shaped graph of y = |x|, and applied those transformations listed above in the bullet points, then we'd get the boundary shown in the graph. The boundary is a dashed line to indicate "points on the boundary are NOT part of the shaded solution set". If we had an "or equal to" then we would include boundary points with a solid boundary line.
We shade below the dashed boundary to complete the shaded region for y < |3x − 6| − 2 aka y < 3|x − 2| − 2
Solve and write your answer as a fraction
Step-by-step explanation:
please mark me as brainlist please
Andrew measured the floor on his storage unit, which is rectangular. It is 4 meters wide and 5 meters from one corner to the opposite corner. How long is the storage unit
Answer:
3
Step-by-step explanation:
If cos8x = 13/36 find the value of cos4x.
The value of cos 4x from the given identity is 0.999
Trigonometry identityGiven the cosine identity
cos8x = 13/36
Determine the value of x
8x = arccos(13/36)
8x = 0.36111
x = 0.36111/8
x = 0.04514
Determine the value of cos4x
cos4x = cos4(0.04514)
cos4(0.04514) = 0.999
Hence the value of cos 4x from the given identity is 0.999
Learn more trig identity here; https://brainly.com/question/7331447
find the area of this triangle
Answer:
[tex]54 \: {in}^{2} [/tex]
Step-by-step explanation:
Area calculation:
[tex] \frac{9 \times 12}{2} = 54 \: {in}^{2} [/tex]
Answer:
A = 54 in^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 (12)(9)
A = 54 in^2
In how many ways can first, second, and third prizes be awarded in a contest with 590 contestants?
Answer:
204,335,880 way's
Step-by-step explanation:
590 ways for the 1 st contestant
589 ways for the 1 st contestant
588ways for the 1 st contestant
590×589×588
204,335,880 way's
PLEASE HELP WORTH EXTRA POINTS!!
Dilate triangle A by a scale factor of 1/3, translate it three units up and two units to the right, and rotate it 90 degrees clockwise about the origin.
Are the triangles similar or congruent and explain why?
Answer:
the triangle has 1/3 so the area of parallelogram is equal
To directly measure the distance across a river, Makayla stands on one side of the diagram below to show the lengths and angles that she measures. Find PR, the distance across the river. Round your answer to the nearest foot.
Answer:
287 ft
Step-by-step explanation:
Side lengths of similar triangles are proportional, so we can write and solve a proportion that will tell the length of PR.
ΔRPE ~ ΔOPC so ratios of corresponding sides are the same:
PR/PO = RE/OC
PR/(PR +165) = 235/370 . . . . . substitute known values
74·PR = 47·(PR +165) . . . . . . . . multiply by 74(PR +165)
27·PR = 7755 . . . . . . . . . . simplify, subtract 47·PR
PR = 287 2/9 . . . . . . . divide by 27
The distance across the river is about 287 feet.
Please solveeeeeeee!
Answer:
D. -14
Step-by-step explanation:
Add 2 to both sides = -3/7b=6
Multiply both sides by 7 = -3b=42
Divide 42 by -3 =-14
Hope this helps!
Imagine telling a friend about your favorite coffee and donut shop. Your friend asks how much it charges for a cup of coffee and a doughnut. While you can't remember how much each one costs individually, you do remember that's the last time you ordered one coffee and two donuts, your bill was $7.00. And today, when you bought two coffees and three Donuts, your bill came to $12.00.
Write a system of linear equations to represent the above situation.
Answer:
c + 2d = $7.00
2c + 3d = $12.00
Step-by-step explanation:
Hello!
Let:
c = # of coffeesd = # of donuts1 coffee and 2 donuts cost $7.00
This can be repesented by 1c + 2d = $7.00, or c + 2d = $7.00
2 coffees and 3 donuts cost $12.00
This can be represented by 2c + 3d = $12.00
So, the system is :
c + 2d = $7.00
2c + 3d = $12.00
HELP ME PLEASE
Find the midpoint of the line segment with endpoints (4, -5) and (6, -6).
A-(5, -5.5)
B-(-1, 0.5)
C-(-5.5, 5)
D-(-0.5, 1)
Answer: A (5, -5.5)
Step-by-step explanation: To find the midpoint of a line segment, you must know the formations of points. Two coordinates are made up of (x1, y1)(x2, y2). Now, to find the answer, you have to add the two x's (which is 4 and 6 = 10) and divide by 2 which equals 5. Now to find the y point, add both y's together. -5 + -6 = -11, and dividing by 2 gives you -5.5
Thus, the midpoint is (5, -5.5)
Answer:
the answer is option A. (5, -5.5)
What's 30cm converted into inches?
Answer:
30cm=11.811in
Answer:
11.811
Step-by-step explanation:
divide the length value by 2.54
An opinion poll asked a random sample of high school couples in the United States whether they believe they will marry their high school sweetheart. A researcher believes more than 25% of high school couples believe they will marry. Which null and alternative hypotheses should be used to test this claim? (4 points)
H0: p = 0.25, Ha: p > 0.25
H0: p = 0.25, Ha: p < 0.25
H0: p = 0.25, Ha: p ≠ 0.25
H0: p > 0.25, Ha: p = 0.25
H0: p ≠ 0.25, Ha: p > 0.25
The correct hypothesis for the test made in this problem are given by:
H0: p = 0.25, Ha: p > 0.25.
What are the hypothesis test?At the null hypothesis, we test if the researcher is not correct, that is, if the proportion is of 25%, hence:
[tex]H_0: p = 0.25[/tex]
At the alternative hypothesis, we test if there is enough evidence for the researcher's claim, that is, if the proportion is greater than 25%, hence:
[tex]H_a: p > 0.25[/tex]
Hence the correct option is:
H0: p = 0.25, Ha: p > 0.25
More can be learned about hypothesis tests at https://brainly.com/question/16313918
What is the rule for the function that is graphed?
y = 2 x + 2
y = 2 x – 3
y = 3 x + 1
y = 3 x – 4
Answer: y = 3x — 2
Step-by-step explanation:
Does the triangle area only work on right triangles.
Answer:
While a vast majority of triangle theorems are exclusively for right triangles, the area formula(bh/2) works for any triangle.
What is the factorization of the polynomial below?
5x2 - 35x + 60
Answer:
[tex]5(x-3)(x-4)[/tex]
Step-by-step explanation:
[tex]5x^2-35x+60[/tex]
Start by factoring out a 5:
[tex]5(x^2-7x+12)[/tex]
We need to find two integers that have a product of 12, and a sum of -7:
(-3)(-4)=12
-3-4=-7
We can split -7x into -3x and -4x
[tex]5(x^2-3x-4x+12)[/tex]
Factor each half separately:
[tex]5[x(x-3)-4(x-3)][/tex]
Since x and -4 are both being multiplied by x-3, we can combine them:
[tex]5(x-3)(x-4)[/tex]
Use the law of cosines
6. Two flying drones leave an airport at the same time. The heading of the
first is 120° and the heading of the second 320. If the drones are traveling
at 80 and 50 mph respectively, how far apart will they be after 1 hour?
The flying drones are illustrations of the laws of cosines
Both flying drones would be 128.13 meters apart after 1 hour
How to determine the distance between themFor drone A, we have:
Angle =120 degreesSpeed = 80 mphSo, the distance after one hour is:
Distance = 80 m
The distance is calculated using:
Distance = Speed * Time
For drone B, we have:
Angle = 320 degreesSpeed = 50 mphSo, the distance after one hour is:
Distance = 50 m
The angle between them is calculated as:
[tex]\theta = 360 -(320 - 120)[/tex]
This gives
[tex]\theta =160[/tex]
Using the laws of cosine, the distance (d) between them after 1 hour is:
[tex]d = \sqrt{a^2 + b^2 -2ab\cos(\theta)}[/tex]
So, we have:
[tex]d = \sqrt{80^2 + 50^2 -2*80 *50\cos(160)}[/tex]
Evaluate the expression
[tex]d = 128.13[/tex]
Hence, both drones would be 128.13 meters apart after 1 hour
Read more about laws of cosines at:
https://brainly.com/question/4372174
Conjecture: The product of the lengths of the two legs of a right triangle is equal to the product of the lengths of the hypotenuse and the altitude.
Is this true? Use Geogebra to help you create a figure to use in support of your conclusion. Insert a screenshot and show all of your calculations.
Hi there!
The answer is True.
(For Proof and explanation, please check the attached picture)
[tex]Have \: a \: great \: day! \: :)[/tex]
Solve the following system of equations
Y= -2x – 3
4y + x =16
Answer:
(-4,5)
*View attached graph*
Step-by-step explanation:
y = -2x - 3
4y + x = 16
4y + x = 16
4(-2x - 3) + x = 16
-8x - 12 + x = 16
-7x - 12 = 16
+12 + 12
-7x = 28
/-7 /-7
x = -4
4y + x = 16
4y + (-4) = 16
4y - 4 = 16
+ 4 + 4
4y = 20
/4 /4
y = 5
(x,y) -> (-4,5)
Hope this helps!
