Answer:
-3 <x <-1
Step-by-step explanation:
|x + 2| < 1
There are two solutions, one positive and one negative ( remember to flip the inequality for the negative)
x+2 <1 and x+2 > -1
Subtract 2 from each side
x+2-2 < 1-2 and x+2-2 > -1-2
x < -1 and x >-3
-3 <x <-1
25 points, choices in photo
Which of the following accurately shows the first step when solving the following system of equations by substitution?
I would go with C as a first step
The correct answer is C (that is equating f(x) and g(x))
How to solve a quadratic and linear equation?A quadratic polynomial has highest degree 2 and a linear polynomial has highest degree 1.
In geometric sense, solving them means finding the point of intersection of curves:
In X-Y plane, these polynomials can be written as:
[tex]y=-x^{2} +2x+3\\y=-2x+3[/tex]
Taking the value of y from second equation and substituting it in first equation we get,
[tex]-x^{2} +2x+3=-2x+3[/tex]
Therefore, with the above procedure, we got the first step of solving the equations with the help of substitution.
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A binomial with a leading coefficient of 4 and a constant of 1.
URGENT, WILL GIVE BRAINLIEST IF CORRECT.
8 and 13
11.5 and 23.6
22 and 15
Answer:
5 < x < 21
Step-by-step explanation:
I did this bfore.
What is the 6th term of this pattern : 0.1, 0.02, 0.12, 0.14, 0.26, ____?
A. 0.4
B. 0.3
C. 0.7
D. 0.9
Write the equation of the line that is perpendicular to y = 2x + 17 and contains the point (8-1).
Answer:
y= -1/2x + 3
Step-by-step explanation:
A line that would be perpendicular to y=2x+17, means that the line has a negative reciprocal slope. So because the slope is 2 in the original equation, -1/2 would be the slope of the new line
so now, plug in the point (8, -1) into the point-slope formula
y-y1=m(x-x1)
y1= -1
x1= 8
m= -1/2
So,
y- -1= -1/2(x-8)
y+1=-1/2x + 4
Subtract 1 from both sides
y=-1/2x+3
Coordinates of C and D are (-14 , 6) and (x , 13) respectively.Given x is a positive integer and the distance CD is 25 units.Find the value of x.
Answer:
10
Step-by-step explanation:
1) The vector CD is equal to (X-(-14); 13-6)= (x+14; 7)
2) The module of the vector CD is equal to diatance CD=25. It is equal to
sqrt ((x+14)(x+14)+7*7) from the formula of module (with coordinates).
25= sqrt ((x+14)(x+14)+7*7)
625= (x+14)*(x+14)+49
625= x^2+28x+196+49
X^2+28X-380=0
a=1 b=28 c=-380
D= b*b-4ac= 28*28-4*1*(-380)= 784+1520= 2304
sqrt D= sqrt2304=48
x1= (-28-48)/2= -38
x2= (-28+48)/2= 10
But x1<0 it is negative and it is not suitable, x2>0 it is positive, so answer is 10.
Please hurry I will mark you brainliest
What is the equation of the line that passes through (3,-1) and is parallel to the line y=3x+2?
Answer:
y = 3x-10
Step-by-step explanation:
When lines are parallel, they have the same slope
y = 3x+2 is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 3
y = 3x+b
We have a point on the line
-1 = 3(3)+b
-1 = 9+b
-10 = b
y = 3x-10
plssss help???????? don’t understand
Answer:
cos N = 7/25 =.28
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos N = MN/ LN
We need to find the ad
Using the Pythagorean theorem
a^2+b^2 = c^2
MN^2 + 48^2 = 50^2
MN^2 + 2304 =2500
MN^2 = 2500-2304
MN^2 =196
Taking the square root
MN =14
cos N = MN/ LN
cos N = 14/50
cos N = 7/25
Answer: CosN (0.28)
A²+B²=C²
In this case we are trying to find the base so
C²-A² = B²
So 50² subtract 48²= B²
2,500 subtract 2,304 = 196
Square root of 196 = 14
Now we have all 3 sides of the triangle we find
Soh Cah Toa
Cah means Cos=Adjacent / hypotenuse
First we identify the Angle before we can decide which of the sides is labelled opposite anx adjacent
We have Angle N and we know our hypotenuse (The longest side of the triangle)
The opposite of the angle would be our opposite and the one thats niether our opposite or hypotenuse is our adjacent
In this cse the angle we solved for B²= 14
Again back "Cah" Cos= Adjacent/hypotenuse
So, 14/50 = 0.28
Step-by-step explanation:
PLS HELP. write as an expression. thank you:)
Answer:
[tex]x^{\frac{3}{2} } p^{6}[/tex]
Step-by-step explanation:
Express 3 objects as a percentage of 1 dozen
show working.
Answer:
25%
Step-by-step explanation:
1 dozen = 12
3 out of 12
3/12
Simplify
1/4
Multiply top and bottom by 25 to get a denominator of 100
25/100
25%
WILL GIVE BRAINLIEST AND 40 POINTS! HURRY PLEASE!
The function f(x) = ax is the exponential function with base a. Given this definition, provide an example of an exponential function, discuss the behavior and give the domain of the provided exponential function.
Answer:
The function f(x)=3x is an exponential function; the variable is the exponent. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. In fact, for any real number x, 1x = 1, so f(x)=1x is the same function as the constant function f(x) = 1.
Step-by-step explanation:
Algebra 1 need help ASAP
This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper
From the graph given, we can see that the line touches the x-axis at (9, 0). Hence the x-intercept of the line is at (9, 0).
Since x represents gallons of milk and y represents the packages of toilet paper, therefore from the coordinate x = 9 and y = 0. This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper
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Working as a team, 8 mathletes can solve 20 problems in 10 minutes. At this same rate, how many mathletes are needed in order to solve 30 problems in 5 minutes?
Answer:
12 mathletes is needed to solve 30 problems in 5 minutes
Step-by-step explanation:
8 athletes can solve 20 problems in 10 minutes
30-20=10
now we need 10 more problems to be solved so
20/2=10. 8/2=4 so we need more 4 mathletes to solve all the problems
1. What is the formula for the circumference using the radius below?
Answer:
The formula for the circumference of a circle is
2
π
r
so all we have to do is plug in 5 for our radius:
2
π
(
5
)
which can be simplified to
10
π
.
Step-by-step explanation:
Which of the following numbers are solutions of the sentence x-3 < 2?
I -3
II 0
III 2
IV 5
O ll only
O III only
O I and III only
O I, II, and III only
O I, II, III, and IV
Answer:
O I, II, and III only
Step-by-step explanation:
x-3 < 2
Add 3 to each side
x-3+3< 2+5
x<5
-3 is less than 5
0 is less than 5
2 is less than 5
5 is not less than 5
I , II , II are true
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
A.
8
B.
9
O c.
16
o
D.
18
Answer:
D
Step-by-step explanation:
time = 27 ÷ 3 × 2 = 9 × 2 = 18 minutes → D
Answer:
The answer is below
Step-by-step explanation:
You first divide 27/3
= 9
you divide it cause you know how many times you have done a lap every 2 minutes.
Now to find how long you took you times 9 by 2
= 18
Therefore Jose took 18 minutes to swim 27 laps
An adult blue whale can eat 4.0 x 107 krill in a
day. At that rate, how many krill can an adult
blue whale eat in 1.45 x 102 days?
how do I simplify when there are fractions on fractions
Answer: y/y+x
Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x
2. Find the measure of angle J.
A storeowner orders 25 calculators that cost $38 each. The storeowner can sell each calculator for $42. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
Answer:
Step-by-step explanation:
25*-30= -$750
Second: He sells 22 of those calculators for $35 each, so he is making money.
22*35= $770
Third: With the remaining three calculators, he must pay $2 each for returned calculators, so he is losing money again.
3*-2= -6
Add all the costs and sales together, and you get 770-750-6= $14 profit
However, the problem does not say if he gets his money back for the 3 returned calculators. In that case if he did, you would add the cost of each of those calculators to his profit. 30*3= 90
$90+$14= $104 profit
here u go
solve the inequality and graph the solution
-5-7x < -40
Answer:
x > 5
Step-by-step explanation:
-5-7x < -40
Add 5 to each side
-5+5-7x < -40+5
-7x < -35
Divide by -7, remembering to flip the inequality
-7x/-7 > -35/-7
x > 5
Open circle at 5, going to the right
Graph the function y= 3/2x^3. Plot five points on the graph of the function: one point with x = 0, two points with negative x-values, and two points with positive x-values.
Answer:
(a square +7a+12) ÷(a+3)
The area of a rectangle is the product of its length and width. Both length and width are whole numbers. A rectangular poster has an area of 88 square inches. The width of the poster is greater than 10 inches and is prime.
Answer: a rectangular poster has an area of 260 square inches.the width of the poster is greater than 10 inches and is a prime number
Step-by-step explanation: a rectangular poster has an area of 260 square inches.the width of the poster is greater than 10 inches and is a prime number.what is the width
draw the graph of the line: with a slope of -1/2 and that passes through the origin
Answer:
I hope this helps!
Find the inverse of the given function. f(x) = 7x – 4
Hi there!
[tex]\large\boxed{y = \frac{x + 4}{7}}[/tex]
f(x) = 7x - 4
Rewrite f(x) with y:
y = 7x - 4
Swap the x and y variables:
x = 7y - 4
Solve for y:
x + 4 = 7y
y = (x + 4)/7
what is the relationship that have the same rate of change
Answer:
I don't really know sorry
I need help plz anyone I don't understand this at all.
Answer:
jejejjejejr
Step-by-step explanation:
uejejjejejjsjs
If 5k = -25, then 5k - 1 = -25 - 1
Segment proof
Use the provided graph to write the vertex form equation of the parabola.
Answer:
(x-6)^2+y=3
Step-by-step explanation:
The vortex of the parabola is (6,3). So the vertex equation is (x-6)^2+y=3
Question 15 of 26
A triangular portion of a baseball field is marked as shown below. To the
nearest tenth, what is the length of the side labeled c?
B
с
4 yds
329
28
С
A
'
Triangle not drawn to scale
O A. 3.5 yds
O B. 4.1 yds
C. 2.8 yds
D. 4.5 yds
Answer:
3.5 yards
Step-by-step explanation:
The value of c in the triangle ABC is 3.5 yds, Option A is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is ABC.
We have to find the length c in the triangle.
Now let us use sine rule to find the value of c.
c / sin 28° = 4 / sin 32°
The value of sin 28° is 0.4695 and sin 32° is 0.5299
c / 0.4695 = 4 / 0.5299
Apply cross multiplication
c × 0.5299 = 4 × 0.4695
c × 0.5299 = 1.8636
Divide both sides by 0.5299
c = 1.8636/0.5299
c = 3.516
= 3.5 yds
Hence, the value of c in the triangle ABC is 3.5 yds, Option A is correct.
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