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EleoNora [17]
2 years ago
5

Use a number line to find the product.

Mathematics
1 answer:
quester [9]2 years ago
3 0

Answer: a. -25

Step-by-step explanation:

1. Multiply the numbers

5x(−5)

Solution

−25x

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Sally has 20 coins in her piggy bank, all dimes and quarters. The total amount of money is $3.05 If d = the number of dimes and
mars1129 [50]

Answer:

d + q = 20

0.25d + 0.10q = 3.05

Step-by-step explanation:

Given

Coins = 20

Value = $3.05

Required

Determine the equation that represent this

From the question, we have that

d = the number of dimes

q = the number of quarters

This implies that;

d + q = 20

Also;

1 d=\$0.25\ \ and\ \\1 q= \$0.10---------- Standard unit of conversion;

This implies that

0.25d + 0.10q = 3.05

Hence, the equations are:

d + q = 20

0.25d + 0.10q = 3.05

4 0
3 years ago
Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
Rus_ich [418]

Answer:

The x-intercepts of the function are x = 3 and x = -5.

Step-by-step explanation:

We are given the function \displaystyle f(x) = x^2 + 2x - 15.

In order to find the x-intercepts of the equation, we need to solve this quadratic. We can use factoring methods to solve it.

The parent function for a quadratic is f(x) = ax^2 + bx + c = 0.

We can use this information to determine what factoring technique we want to use.

There are several different methods, including using the quadratic formula, but because this is easily factorable, we can avoid using it.

We see that our <em>a</em> is equal to 1 (there is no coefficient in front of x²), so we can use the easier of the techniques:

  • Find what factors of c add up to give you b.
  • Add to x if positive or subtract from x if negative and set it equal to zero.
  • Solve for x - these are your x-intercepts.

Therefore, let's determine what our c is: 15.

Now, let's label the factors for 15.

  • 15 cannot be divided by 2 evenly.
  • 15 can be divided by 3 evenly: 15/3 = 5
  • 15 cannot be divided by 4 evenly.
  • 15 can be divided by 5 evenly: 15/5 = 3

Therefore, our two factors are 3 and 5 since they cannot be broken down any further (they are prime numbers - we just performed prime factorization).

Now, we need to pay attention to the sign for c. It's negative, so one of our factors needs to be negative. Therefore, we can test this out:

  • 5 + -3 = 2
  • -5 + 3 = -2

Now, we check for which one matches the sign for b. This is positive 2, so our two factors are 5 and -3.

Finally, to factor, we add or subtract the factors from x depending on the sign. If the factor is positive, we add it. If the factor is negative, we subtract it. Therefore, we can set up our equations.

x + 5 = 0\\\\x = -5

x - 3 = 0\\\\x = 3

Therefore, for when x = 3 or x = -5, the line crosses the x-axis. These are the x-intercepts of the function.

Our answers are x = -5 and x = 3.

4 0
3 years ago
WILL GIVE BRAINLIEST TO BEST ANSWER!!!! Name the quadrant in which the angle below is located.
Ostrovityanka [42]

Answer:

the answer is 3 IV mk mk lololol

7 0
4 years ago
Por favor, alguém pode me auxiliar nessa questão?? O gabarito é 104, mas como chego nesse resultado?
Paha777 [63]
En ingles por favor???
5 0
3 years ago
On a coordinate plane, a shape is plotted with vertices of (3, 1), (0, 4), (3, 7), and (6, 4). what is the area of the shape if
QveST [7]
Let
<span>A (3, 1)
B (0, 4)
C(3, 7)
D (6, 4)

step 1
find the distance AB
d=</span>√[(y2-y1)²+(x2-x1)²]------> dAB=√[(4-1)²+(0-3)²]-----> dAB=√18 cm

step 2
find the distance CD
d=√[(y2-y1)²+(x2-x1)²]------> dCD=√[(4-7)²+(6-3)²]-----> dCD=√18 cm

step 3
find the distance AD
d=√[(y2-y1)²+(x2-x1)²]------> dAD=√[(4-1)²+(6-3)²]-----> dAD=√18 cm

step 4
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> dBC=√[(7-4)²+(3-0)²]-----> dBC=√18 cm

step 5
find slope AB and CD
m=(y2-y1)/(x2-x1)
mAB=-1
mCD=-1
AB and CD are parallel and AB=CD

step 6
find slope AD and BC
m=(y2-y1)/(x2-x1)
mAD=1
mBC=1
AD and BC are parallel and AD=BC
and 
AB and AD are perpendicular 
BC and CD are perpendicular

therefore
the shape is a square wit length side √18 cm

area of a square=b²
b is the length side of a square
area of a square=(√18)²------> 18 cm²

the answer is
18 cm²

see the attached figure


6 0
3 years ago
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