The solutions to the equation [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex] are 3 and -5.
What is the solution to the equation?To solve any equation is to find the solution of the given equation which satisfied the equation.
The given expression is [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex]
let u = (x +2)
then the equation becomes
[tex]\rm u^{2} - 2u - 15 = 0[/tex]
by factorizing, we get
(u + 3)(u - 5) = 0
u + 3 = 0, u = -3
u - 5 = 0, u = 5
Since, u = x + 2
So, x + 2 = 5, x = 3
x + 2 = -3, x = -5
Therefore, the solutions to the equation are 3 and -5.
Learn more about the solution of the equation ;
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Madison bought b pounds of bananas and p pounds of pears and spent a total of $10.38. The price of bananas is $0.60 per pound. The price of pears is $1.74 per pound.
Create an equation that models the total amount of money that madison spend on fruit
Answer:
10.38 = 0.60b + 1.74p
Step-by-step explanation:
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
Answer:
4
Step-by-step explanation:
A.
subtract both slopes
B.
in word problems:
"rate of change" means slope
C.
1. horizontal line's slope is 0
2. number next to the x is the slope
y = 4x + 1 : slope is 4
3. "How much more" is word problems means subtract
4 - 0 = 4
D.
horizontal and vertical lines' slopes are 0
Springsville runs a summer program for children at the park. The participants can choose from several activities throughout the day. The choices are shown in the table.
The answer is A. Springsville has several different activities.
Find a linear equation with two variables that, together with the
equation 10x + 5y = 1, would comprise a system
without a solution.
Answer:
10x+5y=2
Step-by-step explanation: You have the equation 10x+5y=1 and from the problem, we are trying to find an equation that does not produce a solution with 10x+5y=1. To do this know 1 is your y-intercept and if you put 10x+5y=1 into slope-intercept form you'll get y=-2x+1/5. Solve the problem know that you can use any number besides 1 on the right side and have the same slope to fit the question. What I mean is that let's say I have 10x+5y=2, I put it into a slope-intercept form I'll have y=-2x+2/5. The two equations y=-2x+1/5 and y=-2+2/5 will not meet because their slopes are PARALLEL. So in short have a different y-intercept but the same slope to not get a solution. Additional note you could have other y-intercepts such as 3,4,5,6,7,8, or 9 in your standard form equation 10x+5y= to get a equation that does not make a solution with 10x+5y=1.
Simplify: 18 - ⎷81 + 9 · 3⁴ - (3 - 2 + 9) ÷ 2
Answer:
733
Step-by-step explanation:
18 - √81 + 9 × 3⁴ - ( 3 - 2 + 9 ) ÷ 2
18 - 9 + 9 × 81 - ( 10 ) ÷ 2
(18 - 9) + (9 × 81) (-10 ÷ 2)
9 + 729 - 5
738 - 5
733
I hope this helps!
How many 1/ 4 cup servings are in a package of cheese that contains 6 and 1/2 cups altogether?
in essence, how many times does 1/4 go into 6 and 1/2?
[tex]\stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{2}\div \cfrac{1}{4}\implies \cfrac{13}{2}\cdot \cfrac{4}{1}\implies \cfrac{13}{1}\cdot \implies \cfrac{4}{2}\cdot 13\cdot 2\implies 26[/tex]
Please help me with word problems
Answer:
Step-by-step explanation:
.16x + 22.92 = 25.00
.16x = 2.08
x = 13 yards of ribbon
A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was the discount price?
$
Answer:
$1493.49
Step-by-step explanation:
The original cost was doubled initially.
$995.66 x 2 = 1991.32
1991.32 x 0.75 (25% discount) = $1493.49
Solve for s.
s ÷ 15 = 0.88
Multiply both sides by 15.
s = 0.88 * 15 = 13.2 (use calculator)
Answer:
13.2
Step-by-step explanation:
just multipply 15 by 0.88 to get 13.2
100 POINTS!!!
What is the length of XY?
20
10
36
40
Answer:
the answer is 40
Step-by-step explanation:
I took the test on dradpoint
An unknown number is not equal to 3.6 but rounds to 3.6 when rounded to the nearest tenth. what does the unknown number round to when rounded to the nearest whole?
The answer would be 4
Can I have help on this?
Answer:
25°
Step-by-step explanation:
51+x+14=90°
x+65=90°
x=90-65
x=25°
Answer: 25°
Step-by-step explanation:
51+x+14=90°
x+65=90°
x=90-65
x=25°
SYSTEM OF EQUATIONS- I struggle with this
Person A wants to order a bunch of shirts. One website charges 9.65 per shirt, plus a set up fee for $43. Another company charges 8.40 per shirt plus a $58 fee. But what number of shirts would the cost be the same? Why?
Answer:
12 shirts
Step-by-step explanation:
First, we need to write our equations. Let x be the number of shirts and y be the cost. We will multiply the number of shirts bought (x) by the price and then add the setup fee.
To answer the overall question, we will graph the two equations we create. Their point of intersection is the solution, or where the number of shirts bought would cost the same.
"One website" - 9.65 per shirt, plus a set up fee for $43
y = 9.65x + $43
"Another company" - 8.40 per shirt plus a $58 fee
y = 8.4x + $58
See attached for the graph.
They intersect at point (12, 158.8) meaning that both websites will charge $158.80 for 12 shirts.
From the coordinate 8,12 to 10 and 15 what was the scale factor
Answer:
Scale factor is 5/4
Step-by-step explanation:
To find scale factor make a fraction. New coordinates/old coordinates
Make the fractions and reduce.
10/8 and 15/12
5/4 and 5/4
The scale factor is 5/4
How can I solve the equation?
Answer:
r = 15
The radius of the sphere is 15 feet.
Step-by-step explanation:
see image.
Use the formula for the volume of a sphere:
V = 4/3 • pi • r^3
Fill in the 4500pi that is given for the V.
4500pi = 4/3 • pi•r^3
Then solve for r.
see image.
Multiply by 3/4 to get rid of the 4/3.
Divide both sides by pi.
Then cube root to get rid of the third power on the r.
see image.
Don't forget units.
r = 15 feet
Hope this helps! Pls mark Brainliest! tysm!
Use the discriminant to find the number of x-intercepts of the graph of the function.
y = x2 + 3x
Answer:
2 x-intercepts
Step-by-step explanation:
Standard form of quadratic equation: [tex]\sf y=ax^2+bx+c[/tex]
Given equation: [tex]\sf y=x^2+3x[/tex]
Therefore:
a = 1b = 3c = 0Discriminant: [tex]\sf b^2-4ac[/tex]
Substituting values into discriminant:
[tex]\sf \implies 3^2-4(1)(0)=9[/tex]
As discriminant > 0 then 2 real roots (2 x-intercepts)
i REALLy WanT sOme HeLp
Jack brought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50.
What is the cost of this one slice of mushroom pizza?
O $1.50
O $3.00
O $3.50
O $2.00
Answer:
$4.25
Step-by-step explanation:
Simple, 12.50 divided by four is 4.25. Meaning the answer is $4.25.
The roberts family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?
Answer:
197.92
Step-by-step explanation:
radius of bigger circle is 12 (9 + 3). Area of cirlce is Pi(R²)
12² is 144 so 144Pi
9² is 81 (for the inner circle) so 81Pi
144 - 8 is 63Pi which in decimal form is 197.92.
Convert km into cm
10 points available
What is the approximate
volume of this cylinder? (radius is 3 cm and the height is 12 cm)
a. 36 cm3
b. 339 cm3
c. 226 cm3 1
d. 324 cm3
Answer:
a.36 cm³
Step-by-step explanation:
Explanation:- because 3 ×12 =36 so ans is 36cm³..hope helps u
The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 10th term be?
Answer:
what are the answers for a b c and d
Which line plot displays a data set with an outlier? pick 1, 2, 3, or 4. I NEED THE ANSWER ASAP! First Answer will get brainliest!
Answer:
4
Step-by-step explanation:
4th one is the answer because 5 is an outlier in the set of data
Answer:
Option 4
Step-by-step explanation:
An outlier is piece of data in a data set which has a recorded frequency dissimilar to the other pieces of dataIn Option 4, 5 is clearly an outlier where the other pieces of data are concentrated within the 11-16 rangeSolve this for me pls
Answer:don’t delete my comment I need more points lol
Step-by-step explanation:
Find the scale of the 2 known sides:
40/8 = 5
the larger shape is 5 times the size.
Multiply the known sides by 5:
X = 5 *5 = 25
x = 25
Multiplying Polynomials
Let's see
Area
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}\times Base\times Height [/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(6xy^5)(4x^2y)[/tex]
[tex]\\ \rm\rightarrowtail 3xy^5(4x^2y)[/tex]
[tex]\\ \rm\rightarrowtail 12x^3y^6[/tex]
[tex]\text{Area of triangle} = \dfrac 12 \times \text{Height} \times \text{Base} \\\\~~~~~~~~~~~~~~~~~~~~~~=\dfrac 12 \cdot 6xy^5\cdot 4x^2y\\\\~~~~~~~~~~~~~~~~~~~~~~=12x^3y^6 ~ \text{units}^2[/tex]
Write x2 y2 – 18x 8y 5 = 0 in standard form. group terms and move the constant to the other side of the equation. x2 – 18x y2 8y = –5 determine the values that need to be added to both sides of the equation. (–18 ÷ 2)2 = 81 and (8 ÷ 2)2 = 16 add the values to both sides of the equation. write each trinomial as a binomial squared, and simplify the right side. what is the standard form of the equation of a circle given by x2 y2 – 18x 8y 5 = 0? ( )² ( )² =
The equation of the circle x² + y² – 18x + 8y + 5 = 0 can be written as in the standard form is (x – 9)² + (y + 4)² = 92
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given below.
x² + y² – 18x + 8y + 5 = 0
Add and subtract 97, then we have
x² – 18x + y² + 8y + 97 – 97 + 5 = 0
x² – 18x + 81 + y² + 8y + 16 – 92 = 0
(x – 9)² + (y + 4)² = 92
More about the circle link is given below.
https://brainly.com/question/11833983
Question
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a blue bead? Write the probability as a fraction in simplest form.
Enter the correct answer in the boxes.
Answer:
1/4
Step-by-step explanation:
This question is asking for the probability of just picking a blue bead
It does NOT say anything about picking a smooth or rough!
This means you don't have to worry about it being smooth or rough (it is just extra information to throw you off)
So to find just picking one blue bead, you want to have the amount of blue beads divided by the total amount of beads
the amount of blue beads is 13
and the total is 52
So:
13/52 is your probability, but you want to simplify
Which comes out to
1/4
A restaurant sends customers in their loyalty program a coupon for a free birthday dessert. suppose that 8% of
the children and 12% of the adults redeem their coupons.
the restaurant takes separate random samples of 100 children and 90 adults from their loyalty program to see
the difference between the sample proportions (pc - pa).
what will be the shape of the sampling distribution of pc - pa, and why?
Answer:
Not normal, because we expect fewer than 10 children to redeem the coupon.
Step-by-step explanation:
Can someone please help me ASAP
I need help I’m not sure what this answer is
The equivalent statement is "if m∠A = 60°, then Δ ABC is an equilateral triangle. (Option C).
What is an Equivalent Statement?Equivalent Statements refer to statements that when written differently, retain their logical equivalence. another way to know if a set of statements are equivalent is if they can be proven by one another.
An example of equivalent statement besides the one given already is:
A cat is an animal.
A pet is an animal you own.
Therefore owning a cat is the same as owning a pet.
Therefore:
If Jake owns a cat then he owns a pet.
If Jake doesn't own a pet then he doesn't own a cat.
Learn more about Equivalent Statement at:
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1/(√2+√3)-√4 pls explain i dont understand
Hey there!
1/(√2+√3)-√4
=−2−√2+√3
(Decimal: -1.682163)