Answer:
[tex]x^2+10x+24[/tex]
Step-by-step explanation:
So just multiply the sides:
[tex]x^2+6x+4x+24[/tex]
Which is:
[tex]x^2+10x+24[/tex]
Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x? answers are a.Distribute –4 to get –8x + 4 > 5 – 3x. b.Distribute –4 to get –8x – 1 > 5 – 3x. c.Subtract 2x from both sides of the inequality. d.Add 1 to both sides of the inequalit
Answer:
a. Distribute –4 to get –8x + 4 > 5 – 3x
Step-by-step explanation:
–4(2x – 1) > 5 – 3x-8x+4 > 5- 3x-8x+3x >5-4-5x> 1x< -1/5Correct first step is:
a. Distribute –4 to get –8x + 4 > 5 – 3x
The first step to solve the given expression is to distribute -4 over 2x and -1 to get –8x + 4 > 5 – 3x
Inequality expressionsInequality are expressions not separated by an equal sign. Given the inequality;
–4(2x – 1) > 5 – 3x
The first step to solve the given expression is to distribute -4 over 2x and -1 to get –8x + 4 > 5 – 3x
Learn more on inequality here: https://brainly.com/question/24372553
#SPJ6
If UV=x+13 and RT=x-37, What is the value of x?
Answer:
x = 87
Step-by-step explanation:
the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).
Then, we have that the ratio SR / SV is the same as RT / UV:
SR / SV = RT / UV = 1 / 2
RT * 2 = UV
2*(x - 37) = x + 13
2x - 74 = x + 13
x = 87
Need help with this!!
Answer:
the bottom one
Step-by-step explanation:
In the triangle below x=? Round to the nearest tenth. Please help 25 points!!!
Answer:
x = 38.7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opposite/ adjacent
tan x = 8/10
Take the inverse tan of each side
tan ^-1 ( tan x) = tan ^-1 (8/10)
x = tan ^-1 (8/10)
x =38.65980825
To the nearest tenth
x = 38.7
Answer:
38.7
Step-by-step explanation:
Solve the exponential equation for xxx.
26x+7=(18)1−5x
Answer:
x=11/31
Step-by-step explanation:
HMU if u need the work shown
opposite quantity of. (i) 28 m South (ii)70 km above sea level.
7
Answer:
1) 28m West 2)70km below sea level
For a geometric series represented by ++2+3,..., wherein is the first term and the common ratio, calculate the sum of the first 3 terms, wherein =15,=6 ?
Answer:
Sum of the first 3 terms is 9245
See explanation below
Step-by-step explanation:
The question is not clear. From the question we can tell we are to determine the sum of the first 3 terms of a geometric series. I would show you how to calculate sum of n terms given first term and common ratio.
Let's consider the question below.
Given that the first term is 15 and the common ratio is 6, find the first 3 terms
Solution:
Sum of geometric series has two formulas: one is for common ratio(r) > 1 and the other is for common ratio (r) < 1
Since the r in the question is > 1. We would apply the formular that applies to it.
Sum of the first 3 terms is 9245
See attachment for detail
The measure of two complementary angles are in the ratio 1:4. What are the degree measures of the two angles ?
Answer:
18,72
Step-by-step explanation:
Complementary angles add to 90 degrees
Multiply the ratio by x
1x+4x = 90
Combine like terms
5x = 90
divide by 5
5x/5 = 90/5
x =18
The first angle is 18 degrees
4*18 =72
The second angle is 72 degrees
A storage shed is shaped like a rectangular prism. The width is 7 yards, the height is 3 yards, and the volume is 147 cubic yards. Find the length of the storage shed
Answer:
Length of shed is 7 yards
Step-by-step explanation:
Mathematically the volume of the shed is the area of the base * height
Area of the base = length * width
let the length be x
Thus, the area of the base = x * 7 = 7x
Now, 7x * 3 = 147
21x = 147
x = 147/21
x = 7 yards
Find the sum and choose the correct answer. 5n 3 + 4n 2 - 9 and -2n 3 + 7n - 5
Solution,
5n^3+4n^2-9+(-2n^3+7n-5)
= 5n^3+4n^2-9-2n^3+7n-5.
Combine the like terms,
=5n^3-2n^3+4n^2+7n-9-5
=3n^3+4n^2+7n-14
hope it helps
Good luck on your assignment
Answer:
[tex] = 3 {n}^{3} + 4 {n}^{2} + 7n - 14 \\ [/tex]
Step-by-step explanation:
[tex]5 {n}^{3} + 4{n}^{2} - 9 + ( - 2 {n}^{3} + 7n - 5) \\ 5 {n}^{3} + 4 {n}^{2} - 9 - 2 {n}^{3} + 7n - 5 \\ = 3 {n}^{3} + 4 {n}^{2} + 7n - 14[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The point (-4,7) lies on the graph of y =(x +8)^2+k. where k is some constant. Which other point must also lie on the same graph?
(12,4)
(-5,72)
(5,72)
(4,12)
Answer:
No other given point lie on the same graph
Step-by-step explanation:
Equation : [tex]y =(x +8)^2+k[/tex]
We are given that The point (-4,7) lies on the graph of [tex]y =(x +8)^2+k.[/tex]
So, Point(-4,7) satisfies the given equation
So,[tex]7=(-4+8)^2+k[/tex]
7=16+k
-9=k
So, The equation is [tex]y =(x +8)^2-9[/tex]
Now substitute the given points
(12,4)
[tex]4=(12+8)^2-9[/tex]
4=400-9
[tex]4\neq 391[/tex]
So,(12,4) not lies on the graph
(-5,72)
[tex]72=(-5+8)^2-9[/tex]
72=9-9
[tex]72\neq 0[/tex]
So,(12,4) not lies on the graph
(5,72)
[tex]72=(5+8)^2-9[/tex]
72=169-9
[tex]72\neq 160[/tex]
So,(12,4) not lies on the graph
(4,12)
[tex]12=(4+8)^2-9[/tex]
12=144-9
[tex]12\neq 135[/tex]
So,(12,4) not lies on the graph
So, No other given point lie on the same graph
rationalize the denominator.
5 / 7- squareroot 6 ?
[tex] \frac{5}{7 - \sqrt{6} } [/tex]
Answer:
[tex]\frac{5\sqrt{6} +35}{43}[/tex]
Step-by-step explanation:
Step 1: Multiply by conjugate
5/(7 - √6) x (7 + √6)/(7 + √6)
5(7 + √6)/43
Step 2: Distribute
(35 + 5√6)/43
When six is subtracted from five times a number, the result is 9
Answer: Think it is -3/5
Step-by-step explanation:
6-5(x)=9
6-5(-3/5)=9
6+3=9
9=9
Answer:
Equation:
5x - 6 = 9
Answer:
x = 3
Step-by-step explanation:
Let's break this down:
When six is subtracted from five times a number, the result is 9
"five times a number" simply means a variable, such as x, is being multiplied by 5
five times a number: 5x
Next step:
When six is subtracted from five times a number, the result is 9
"six is subtracted from" means 6 is being taken away from whatever comes next, in this case, '5x'
six is subtracted from: - 6
Final section:
When six is subtracted from five times a number, the result is 9
"the result is 9" means the entire equation equals nine
the result is nine: = 9
Put it all together:
5x - 6 = 9
Solve:
5x - 6 = 9
+6 +6
5x = 15
/5 /5
x = 3
Therefore, the value of x is three.
Yesterday. Grace drove 45 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
36.4miles per gallon
Step-by-step explanation:
Divide 45 1/2 by 1 1/4. This gives 36 2/5
Hope this helps.
Solve this quadratic equation by completing the square.
x2 + 8x = 10
Answer:
[tex]x=\sqrt{26}-4,\:x=-\sqrt{26}-4[/tex]
Step-by-step explanation:
[tex]x^2+8x=10[/tex]
Write this equation in the form of: [tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]
Solve for a:
[tex]2ax=8x[/tex]
[tex]\frac{2ax}{2x}=\frac{8x}{2x}[/tex]
[tex]a=4[/tex]
Add [tex]a^2=4^2[/tex] to both sides:
[tex]x^2+8x+4^2=10+4^2[/tex]
[tex]\left(x+4\right)^2=26[/tex]
[tex]x+4=\sqrt{26}[/tex]
[tex]x+4-4=\sqrt{26}-4[/tex]
[tex]x=\sqrt{26}-4[/tex]
[tex]x+4=-\sqrt{26}[/tex]
[tex]x+4-4=-\sqrt{26}-4[/tex]
[tex]x=-\sqrt{26}-4[/tex]
The expression 4x, x gives the perimeter of a square with a side length of xxx units.
What is the perimeter of a square with a side length of 5/7
start fraction, 5/7, end fraction units?
Answer: 20 over 7 units
Step-by-step explanation:
During a promotional weekend, a state fair gives a free admission to every 165th person that enters the fair. On Saturday, there were 7,303 people attending the fair. On Sunday, there were 7,126 people attending the fair. How many people received a free admission over the two days?
Answer: 87
Step-by-step explanation:
If it is the 165th person each day
7303/165 = 44.26 ( so 44 free admissions on Saturday)
7126/165 = 43.19 (so 43 free admissions on Sunday)
87 free admissions over the two days
If 165th person where it can carry over from day to day
(7303 + 7126)/165 = 87.49
87 free admissions over the two days
Same answer this time, but could be different in a diferent problem.
What is the simplified form of StartFractio negative 24 m Superscript 5 Baseline n Superscript 4 Baseline Over 8 m Superscript negative 7 Baseline n Superscript negative 2 Baseline End Fraction? Assume m not-equals 0, n not-equals 0. Start-fraction 3 Over m Superscript 35 Baseline n Superscript 8 Baseline End-fraction Negative Start-fraction 3 n squared Over m squared End-fraction Negative 3 m Superscript 12 Baseline n Superscript 6 Baseline 3 m Superscript 35 Baseline n Superscript 8 Baseline
Answer:
Option C on E2020
Step-by-step explanation:
just finished the test
Answer:
C
Step-by-step explanation:
Brainliest question please help me now plz
Answer:
On the circle
Step-by-step explanation:
Graph it
Answer:
On the circle.
Step-by-step explanation:
I recommend using a visual.
Which question is equivalent to2(x+7)-18+4/5
Answer:
[tex]2x-16/5[/tex]
Step-by-step explanation:
[tex]2x+14-18+0.8[/tex]
[tex]2x-3.2[/tex]
Answer:
2x + 16/5
Step-by-step explanation:
= 2x + 14 - `18 + 4/5
= 2x + 4 + 4/5
= 2x + 16/5
Hope this helps!
What is the length of SA?
B
10 ft
s
1.89 ft
A.
O 2.43 ft
6.3 ft
9 ft
O 3 ft
O 7 ft
T
2.7 ft
С
Answer:
3ft
Step-by-step explanation:
The value of length of SA is,
⇒ SA = 3 feet
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We have to given that;
Triangle ABC is shown in figure.
Now, Observe the given figure,
Since, Line ST is parallel to the line AC.
Therefore, By Basic Proportionality Theorem which states
" If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion".
Hence, We get;
SB/SA = BT / TC
10 / SA = 9 / 2.7
SA = 2.7 × 10 / 9
SA = 3 feet
Thus, The value of length of SA is,
⇒ SA = 3 feet
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ7
B
7
25
C
24
A
Find sin(cx) in the triangle.
Answer:
The sine of cx in the triangle is the opposite side/the hypotenuse
sin(cx) = 7/25
sin(cx) = 0.28
cx = sin^-1 (0.28)
cx = 16.26 degrees
Put the following equation in slope-intercept form: 4y=4x+8
Answer:
y = x +2
Step-by-step explanation:
4y=4x+8
Slope intercept form is
y = mx+b so we need to solve for y
Divide each side by 4
4y/4 = 4x/4 +8/4
y = x +2
The slope is 1 and the y intercept is 2
Which tank is proportional ?
Answer:
Tank B
Step-by-step explanation:
To be proportional it must go through the origin, (0,0), And have a constant slope. Tank B follows this
The side of the parallelogram in the figure above are given in cm.
Find x and y and the perimeter of the parallelogram.
solution
or, 2 x + y = 5 y - 8 being opposite side of
parallelogram
or , 2x =5 y - y - 8
or, 2x = 4 y - 8
or, x = 4y - 8/2
or,. x = 2y- 4
therefore, 2x + y is equal to 5 y - 8 Being the opposite side of a parallelogram
now,
3y + 2 x is equal to 4x - 3 being opposite side of a parallelogram
or, 3y + 2 x-4x = -3
or,. 3y -2x = -3
Please help!!! I'll mark you as BRAINLIEST and give you 10 points!!!!!
Answer:
6
Step-by-step explanation:
Okay so the shape has an area of 60 square inches. The formula for the area of a triangle is A = b*h where A = area, b = base, and h = height
So we are given the value for A (60)
We are given the value for height (10)
So we just need to find the value of the base
So let's set this up as an equation. Input the given values into the area for triangle formula
A = B*h
60 = B * 10
So we need to solve for B. To do that we need to get B alone on one side of the = sign. B is being multiplied by 10 so do the opposite and divide both sides by 10
60 divided by 10 = 6
10 divided by 10 = 1 (don't actually put a 1 down, just drop it)
So we are left with
6 = B
So the base is 6 square inches. To test, put it in the equation:
A = B*h
60 = 6*10
60 = 60
1 of 5
Colin and Dan win some money and share
it in the ratio 4:5. Colin gets £52. How
much did they win in total?
£
Answer:
117 pounds
Step-by-step explanation:
the ratio is given:
4 : 5
Colin : Dan
Simplest way to solve:
4x = 52
x = 52/4 = 13
now, x is one part of the share.
There are 9 total parts:
9 x 13 = 117.
Hope this helps
Express the product of the following
binomials as a trinomial:
(x+5)(x+8)
Answer:
x^2+13x+40
Step-by-step explanation:
To solve this, use the FOIL method. Multiply the first terms, then the outside, then the inside and finally the last terms.
We have the binomials:
(x+5) and (x+8)
The first terms are x and x. The outside terms are x and 8. The inside terms are 5 and x. The last terms are 5 and 8.
Multiply these values.
F (first): x and x
x*x= x^2
O (outside): x and 8
x*8=8x
I (Inside): x and 5
x*5=5x
L ( Last): 5 and 8
5*8=40
Now, add all the products together.
x^2+8x+5x+40
Combine like terms. In this case, the like terms are 8x and 5x.
x^2+13x+40
The final trinomial (three terms) is: x^2+13x+40
In ΔXYZ, the measure of ∠Z=90°, YZ = 5.6 feet, and ZX = 6.5 feet. Find the measure of ∠X to the nearest degree.
Answer:
41 degrees
Step-by-step explanation:
Here in this question , we are interested in calculating the value of angle x.
Firstly, we shall be needing a diagrammatic representation, please check attachment for this.
We are interested in calculating angle x, which represents the angle facing the opposite. The other third side that we have is referred to as the adjacent.
The trigonometric ratio to use here is thus called the tangent.
Mathematically the tangent of an angle = length of the opposite/length of the adjacent
The value 5.6 is our opposite since it faces the angle while the length 6.5 is the adjacent.
Thus;
tan x = 5.6/6.5
tan x = 0.8615
x = arc tan 0.8615
x = 40.75 degrees which is 41 degrees to the nearest degree
Answer:
41
Step-by-step explanation:
tan −1 ( 6.5 / 5.6 ) = 40.746 = 41
Meat at a temperature of 22oC is put in a refrigerator. The refrigerator cools the meat down by 34oC. What is the temperature of the frozen meat?
Answer:
-12C
Step-by-step explanation:
Simply take 22 and subtract it by 34.